Ms. Morales bought the kiddie pool shown below for her children. pleas help thank you

A diagram of a kiddie pool is shown. The height of the pool is labeled twelve inches. A line drawn under the pool from one side of the pool to the other is labeled fifty-four inches.

If she filled the pool 3/4 of the way with water, how much water did Ms. Morales put in the pool in terms of π?

Responses

A)5,832π in.3

B) 6,561π in.3

C) 7,776π in.3

D) 8,748π in.3

Ms. Morales Bought The Kiddie Pool Shown Below For Her Children. Pleas Help Thank YouA Diagram Of A Kiddie

Answers

Answer 1

The water Ms. Morales put in the pool in terms of π is  [tex]\pi[/tex]6561inch^3

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Given;

Diameter= 54 in.

Height of pool= 12ft

Now,

3/4 th height of pool;

3/4 x 12= 9inch

Volume= [tex]\pi r^{2}h[/tex]

=[tex]\pi[/tex]27x27x9

=[tex]\pi[/tex]6561inch^3

Therefore, the volume of pool will be [tex]\pi[/tex]6561inch^3

Learn more about volume of cylinder here:

https://brainly.com/question/12763699

#SPJ1


Related Questions

7 The diagram shows a water tank. The tank is a hollow cylinder joined to a hollow hemisphere at the top.
The tank has a circular base.
-46 cm
90 cm
Diagram not
accurately drawn
Both the cylinder and the hemisphere have a diameter of 46 cm. The height of the tank is 90 cm.
Work out the volume of water which the tank holds when it is full. Give your answer, in cm³,
correct to 3 significant figures.
S
[Edexcel]

Answers

The volume of water which the tank holds when it is full is 136830 cm³.

What is volume?

The amount of space a three-dimensional solid shape takes up is referred to as its volume. Though difficult to visualise in any shape, it can be compared to others. In comparison to an eraser placed inside of it, a compass box has a larger volume. The area of any two-dimensional shape can be calculated by splitting it into equal squares. When calculating the volume of solid shapes, equal cubical units will also be divided.

If the both have diameter of 46 cm then the height of hemisphere is

46/2 = 23 cm = radius

Height of the cylinder = 90 - 23

                                     = 67

Volume of hemisphere + Volume of cylinder =  volume of water

volume of water = (2/3)πr³ + πr²h

volume of water = (2/3)π(23)³ + π(23)²×67

                            = 136830 cm³

                            = 136.83 l

Thus, the volume of water which the tank holds when it is full is 136830 cm³.

                             

Learn more about volume

https://brainly.com/question/1578538

#SPJ1

An investor bought a share of a stock at the beginning of 2015. At the beginning of 2017, the share was worth $1050From the beginning of 2015 to the beginning of 2017 the value of the share halved each year, but from the beginning of 2017 to the beginning of 2019, the value of the share increased by 1.5 times each yearThe investor sold the share at the beginning of 2019 Find and interpret the difference between what the investor paid for the share and what the investor sold the share for

Answers

$656.25 is the difference between the investor paying for the share and the investor selling the share.

What is Equation?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that At the beginning of 2017, the share was worth $1050.

From the beginning of 2015 to the beginning of 2017 the value of the share halved each year.

In 2017 it is 1050.

In 2016, it is 2100

In 2015, it is 4200

Beginning of 2017 to the beginning of 2019, the value of the share increased by 1.5 times each year.

In 2017, 1050×1.5=1575

In 2018, 1575×1.5=2362.5

In 2019, 2362.5×1.5=3543.75

The investor paid for the share 4200 and the investor sold 3543.75.

Difference =4200-3543.75

=656.25

Hence, $656.25 is the difference between the investor who paid for the share and the investor who sold the share.

To learn more about Equation:

brainly.com/question/10413253

#SPJ1

What is the result of isolating y^2 in the equation below? 4x^2 + 25y^2= 100

Answers

Answer:

In factored form: [tex]y=\sqrt{-\frac{1}{25}(2x-10)(2x+10)}[/tex]

In standard form: [tex]y=\sqrt{-\frac{4}{25}x^2+4}[/tex]

Step-by-step explanation:

Generally for these type of equations we want to get the term with "y" by it self (ignoring coefficients and any operations such as square root, etc...) so we want to get rid of the [tex]4x^2[/tex] from the left side which we can do by subtracting this from both sides to maintain equality and get rid of it on the left side.

[tex]25y^2=-4x^2+100[/tex]

One thing I want to note here is we can actually factor the right side which we generally want to do, we can rewrite it as: [tex]-(4x^2-100)[/tex] and from here we have a difference of squares: [tex]a^2-b^2=(a-b)(a+b)[/tex] so we can rewrite this as: [tex]-(2x-10)(2x+10)[/tex]

[tex]25y^2=-(2x-10)(2x+10)[/tex]

From here we divide both sides by 25:

[tex]y^2=-\frac{1}{25}(2x-10)(2x+10)[/tex]

Now from here to get rid of that square we do the inverse which is taking the square root:

[tex]y=\sqrt{-\frac{1}{25}(2x-10)(2x+10)}[/tex]

The reason factoring is useful in this case is we can now easily determine the domain of the function since inside the square root we have a quadratic which is opening down meaning it's only not negative between the zeroes (including the zeroes since they're... zero not negative) and this would be the domain of the graph. But if we wanted it to not be in factored form we would just put back what we had so we would have:

[tex]y=\sqrt{-\frac{1}{25}(4x^2-100)}[/tex]

then distribute the -1/25 to get:

[tex]y=\sqrt{-\frac{4}{25}x^2+4}[/tex]

Boden has 45 CDs in his collection, and Camden has 61. If Boden buys 4 new CDs each month and Camden buys 2
new CDs each month, after how many months will Boden and Camden have the same number of CDs? Write an
equation and solve.

Answers

After 8 months both Boden and Camden will have the same number of CDs.

Define the term equation with one variable?Equations with a maximum from one variable of order 1 are referred to as linear equations in one variable equations. It has the formula axe + b = 0, with x serving as the variable. There is just one answer to this equation.

The given data:

Current CD's of Boden : 45.Current CD's of Camden : 61.

Let 'n; be the total number of months, when both have the same amount of CDs.

Thus,

For 4 new CDs each month bought by Boden: 45 + 4n.

For 2 new CDs each month bought by  Camden : 61 + 2n.

Then, the equation becomes:

45+ 4n = 61 + 2n

45 + 2n = 61

2n = 16

n = 8

Thus, after 8 months both Boden and Camden will have the same number of CDs.

To know more about the equation with one variable, here

https://brainly.com/question/85774

#SPJ1

Suppose the average distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls(a)Find the sample means.(b)Find the standard error.(c)) Compute P( x bar < 240).(ii) Draw a sketch to interpret your results.(iii) Is this usual? Explain.(d)Compute p(X< 240)(e)Find the 80thpercentile of the distribution of the average of the 49 fly balls.

Answers

(a) The sample mean of the 49 fly balls is 250 feet.

(b) The standard error of the 49 fly balls is 50/sqrt(49) = 7.14 feet

(c) P(x bar < 240) = P(Z < (240-250)/7.14) = P(Z < -1.40) = 0.0822

(ii) The sketch of the distribution of the average of the 49 fly balls is a normal curve with a mean of 250 feet and a standard deviation of 7.14 feet. The probability of getting a sample mean of less than 240 feet is 0.0822.

(iii) This is usual, as the probability of getting a sample mean of less than 240 feet is 0.0822, which is within the range of expected probabilities for a normal distribution.

(d) P(X< 240) = P(Z < (240-250)/50) = P(Z < -2) = 0.0228

(e) The 80th percentile of the distribution of the average of the 49 fly balls is equal to the mean plus (1.28 * standard deviation), which is equal to 250 + (1.28 * 7.14) = 266.6 feet.

Learn more about sample mean  here:

https://brainly.com/question/30023845

#SPJ4

The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 25 B, and 35 C responses. Show the frequency and relative frequency distributions (use 0 decimals for the frequency column and 2 decimal for the relative frequency column).

Answers

The relative frequency of A, B and C BE 0.5, 0.20 and 0.29.

What is meant by relative frequency?

The proportion between a given event's frequency and all events' frequencies in a statistical experiment.

The ratio of the total number of occurrences occurring in a particular scenario to the frequency of an event can be used to determine relative frequency. Relative frequency is defined as Subgroup frequency divided by Total frequency.

Due to the possibility of interpreting the heights of relative frequency histograms as probabilities, they are significant. These probability histograms offer a graphical representation of a probability distribution that may be used to estimate the probability that specific outcomes will materialize within a given population.

The relative frequency is the ratio of the frequency to the total frequency corresponding to each entry.

The total samples be 60 + 25 + 35 = 10

Also, the frequency corresponding to A is: 60

Corresponding to B is: 25

and corresponding to C is: 35

Hence, the Frequency table is as follows:

Data               Frequency

A                          60  

B                           25

C                           35

The relative frequency table is given by:

Data               Relative Frequency          

A                      60/120 = 0.5

B                       25/120 = 0.20

C                       35/120 = 0.29

Therefore, the relative frequency of A, B and C BE 0.5, 0.20 and 0.29.

To learn more about relative frequency refer to:

https://brainly.com/question/3857836

#SPJ4

Given g (x)=5x − 3, find g( −2)

Answers

f(x)=5x−3f(x)=5x-3 g(x)=x2−3g(x)=x2-3

Set up the composite result function. g(f(x))g(f(x))Evaluate g(5x−3)g(5x-3) by substituting in the value of f(5x−3)=(5x−3)2−3g(5x-3)=(5x-3)2-3

Simplify each term: g(5x−3)=25x2−30x+9−3g(5x-3)=25x2-30x+9-3 Subtract 33 from g(5x−3)=25x2−30x+6

Final answer:

To find the value of the function g(x) = 5x - 3 at x = -2, substitute -2 for x. This gives g(-2) = -13.

Explanation:

The function given is g(x) = 5x - 3. To find the value of this function when x = -2, you substitute -2 for x in the equation. This yields:

g(-2) = 5(-2) - 3

Which simplifies to:

g(-2) = -10 - 3

So, g(-2) = -13.

In summary, you substituted -2 for x in the function g(x)=5x−3 and then performed the arithmetic operations to find that g(−2) equals -13.

Learn more about Function Evaluation here:

https://brainly.com/question/12056604

#SPJ2

Two gentlemen are taking their morning walks, beginning from opposite ends of a park. They meet 720 meters away from one of the ends, after which they continue walking. After reaching the end of the park, each turns back. On the way back, they meet at a distance of 400 meters from other end of the park. What is the length of the park? Their speeds are constant, but not identical.

Answers

The length of the park will be 598 meters.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that two gentlemen are taking their morning walks, beginning from opposite ends of a park. They meet 720 meters away from one of the ends, after which they continue walking. After reaching the end of the park, each turns back. On the way back, they meet at a distance of 400 meters from another end of the park.

The length of the park will be calculated as,

H² = P ² + B²

B² = (720)² - ( 400 )²

B = √ ( 358400 )

B = 598 meters

The length of the park would be 598 meters.

To know more about the Pythagorean theorem follow

https://brainly.com/question/28000497

#SPJ1

Stefan sells Jin a bicycle for ​$116 and a helmet for ​$16. The total cost for Jin is ​120% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

see below

Step-by-step explanation:

116+16=132 =120% * x

x=110

profit =132-110 =22

Answer:

He made $12 by selling the bicycle helmet to Jin!

Step-by-step explanation:

Let x be the original cost of the bicycle.

The cost of the helmet is $16, so the original cost of the bicycle and helmet is x + $16 algebraically.

Jin pays a total of $116 + $16 = $132 for the bicycle and helmet, which is 120% of what Stefan spent originally, so x + $16 = 1.2 * (x + $16)

Expanding the right-hand side gives x + $16 = 1.2x + 1.2 * $16.

Solving for x, we find that x = $104.

So, Stefan originally spent $104 for the bicycle and $16 for the helmet, for a total of $104 + $16 = $120.

Stefan sells the bicycle and helmet to Jin for $116 + $16 = $132, so he makes a profit of $132 - $120 = $12.

NO BOT ANSWERS OR WE WILL REPORT YOU. Can you see triangles in this baseball player’s posture? Many players improve their swings using the properties of geometry to evaluate their positions and postures. This is true in many other sports as well including soccer, football, and golf.

Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find.

Answers

In golf, players use the concept of angles to evaluate their club head position and the angle of attack on the ball. By understanding the principles of geometric angles, golfers can adjust their swing and improve the accuracy and distance of their shots.

How can players improve using the properties of geometry?

In basketball, players use the concept of spatial awareness to evaluate their positioning on the court. By understanding geometric concepts such as lines, angles and planes, they can improve their ability to move without the ball and find open spaces on the court.

In soccer, players use the concept of geometric shapes to evaluate their positioning on the field. By understanding the principles of triangles and circles, soccer players can improve their ability to move and pass the ball effectively, as well as to anticipate the movements of the opposing team.

Overall, the concepts of geometry, such as angles, spatial awareness, and geometric shapes, are essential for athletes in many sports to evaluate their positions and postures and improve their performance.

Learn more about geometry on:

https://brainly.com/question/24375372

#SPJ1

Last year, Chris opened an investment account with 5200 . At the end of the year, the amount in the account had increased by 7%

Answers

Answer:

Step-by-step explanation:

By the way you've worded this, I'm guessing that you're looking for how much money Chris made at the end of the year.

When we're dealing with annual income, we must always consider how much was already present in savings before actually performing any operation, because that will give us the final answer.

Since Chris started with $5200, we do [tex](0.07)($5200) = $364[/tex] to find that Chris made $364 by the end of the year.

Lastly, to find his total income at the end of the year, we add [tex]5200 + 364 =[/tex] $5,564 at the end of the year.

in a company 70% of the workers are men is 1380 women work for the company how many workers are there in all?

Answers

Around 3451 workers in all if i did it right

Sketch the graph of the function with a table of values. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) f(x, y) = y² + 4

Answers

The equation for the cross section exists x = z , -z.

What is meant by equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

When two expressions in a variable (or variables) have the same value, the condition is said to be an equation. The equation's solution, or root, is the value of the variable for which the equation holds true. Even if the RHS and LHS are switched, an equation still holds true.

In the question it is given that

Equation of curve => x² = 49y² + z²

(a) Write an equation for the cross section at z = -7

Putting z = -7 in the equation,

⇒ x² = 49y² + (-7)²

⇒ x² - 49y² = 49

(b) Write an equation for the cross section at z = 0

Putting z=0

⇒ x² - 49y² = 0

(c) Write an equation for the cross section at z = 7

Putting z = 7 ,

⇒  x² - 49y² = 49

(d) Write an equation for the cross section at y = -7

Putting y = -7 in equation this time,

⇒  x² = 49( -7)² + z²

⇒ x² - z² = 2401

(e) Write an equation for the cross section at y = 0

Putting y = 0,

⇒ x² = z²

⇒ x = z , -z

Therefore, the equation for the cross section exists x = z , -z.

The compete question is:

Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) x2 = 49y2 + z2 = (Write an equation for the cross section at z = -7 using x and y.) (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at z = 7 using x and y.) (Write an equation for the cross section at y = -7 using x and z.) IIIIIIII (Write an equation for the cross section at y = 0 using x and z.) (Write an equation for the cross section at y = 7 using x and z.) (Write an equation for the cross section at x = -7 using y and z.) (Write an equation for the cross section at x = 7 using y and z.)

To learn more about equations refer to:

brainly.com/question/29657992

#SPJ4

Find the slope of a line perpendicular to the line whose equation is
15x12y = 216. Fully simplify your answer.

Answers

The slope of the line perpendicular to the line whose equation is 15x - 12y = 216 is m{p} =  -0.8.

What is the general equation of a straight line?

straight line equation: The general equation of a straight line is -

y = mx + c.

where,

{m}: slope of the line.

{c} : y-intercept

To find the slope of a line perpendicular to the line whose equation is 15x - 12y = 216, we need to find the negative reciprocal of the original line's slope.

To find the original line's slope, we can use the equation of the line in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To convert the equation of the line from standard form to slope-intercept form, we can add 12y to both sides to get 12y = -15x + 216.

Then divide both sides by 12 to get y = -(15/12)x + 18.

So the slope of the original line is -(15/12).

The slope of a line perpendicular to the original line is the negative reciprocal of the original line's slope.

So the slope of the line perpendicular to 15x - 12y = 216 is -12/15 or -0.8

The slope of the line perpendicular to the given line is -

m =  -12/15 =  -0.8

Therefore, the slope of the line perpendicular to the line whose equation is 15x - 12y = 216 is m{p} =  -0.8.

To learn more about the straight lines visit,

brainly.com/question/29149364

#SPJ1

A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. draw a tape diagram to show how many flavors have chocolate and how many dont

Answers

The flavors that have chocolate as one of the ingredients will be 10 and the flavors that don't have chocolate as one of the ingredients will be 30.

How to calculate the number of chocolate?

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this case, the bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients

The flavors that have chocolate as one of the ingredients will be:

= 25% × 40

= 10

The flavors that don't have chocolate as one of the ingredients will be:

= 40 - 10

= 30

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Please help me solve this I have a D in math!!

Answers

Therefore, the explicit formula for f(n) is: f(n) = 10 * [tex]3^{(n - 1)}[/tex]

f(1)=10

What is explicit formula?

An explicit formula for f(n), the number of members the creators have a goal of getting n weeks after the website is made available, can be determined by using the information provided that the number of members is tripled every week.

So, we can start with the initial number of members (10) and multiply it by 3 for each week.

Therefore, the explicit formula for f(n) is:

f(n) = 10 * [tex]3^{(n - 1)}[/tex]

A recursive formula for f(n) can be determined by using the information that the number of members is tripled every week, and the initial number of members is 10.

So, we can start with the initial number of members (f(1)=10) and use the previous value of f(n-1) to calculate the current value of f(n).

Therefore, the recursive formula for f(n) is:

f(n) = 3f(n-1) + 10

for n>1

f(1)=10

In this way, we can calculate the number of members for any week using the explicit formula or the recursive formula.

To learn more about explicit formula, visit

brainly.com/question/24198356

#SPJ1

Pls help with this question, I will give brainliest, answer is not 278.63 or 375

Answers

The area of the trapezoid is 278.63 square units.

What is a trapezoid?

An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

Given:

KFLM is a trapezoid.

Side KF = 10 units

KL = 26 units

The angle measure of KFM = 48°.

So, in ΔFPK,

Sin48° = FP / KF

Sin48° = FP / 10

FP= Sin48° x 10

FP = 0.7431 x 10

FP  = 7.431

Now, the area of the trapezoid,

= 1/2 x sum of the parallel sides x distance between parallel sides,

= 1/2 (26 + 49) (7.431)

= 278.63 square units

Therefore, the area is 278.63 square units.

To learn more about the trapezoid;

https://brainly.com/question/8643562

#SPJ1

Urgently!! You are kindly requested to describe in DETAILS the solution of the problem. Certainly, thanks.
The growth rate of the number of bacteria is given by the formula V = 10000 - 100*m*t, where t is the time expressed in hours, m = 11. Write the equation for the growth of the number of bacteria x(t) if x(0) = 10000*m.

Answers

The equation for the growth of the number of bacteria is x(t) = 10000t - 550t² + 110000

How to determine the equation for the growth function?

The growth rate of the number of bacteria is given as:

V = 10000 - 100mt,

Such that

t = time in hours,

m = 11.

To find the equation for the growth of the number of bacteria x(t), we can integrate this formula with respect to t.

Using the initial condition x(0) = 10000*m, we have

x(t) = ∫V dt + C

Substitute the known values in the above equation, so, we have the following representation

x(t) = ∫(10000 - 100mt) dt + C

Integrate

x(t) = 10000t - 50mt² + C

Recall that x(0) = 10000*m.

So, we have

10000m = 10000 * 0 - 50 * m * 0² + c

Evaluate

c = 10000m

c = 10000 * 11

c = 110000

So, the equation is

x(t) = 10000t - 50mt² + 110000

Since m = 11, we have

x(t) = 10000t - 550t² + 110000

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

A certificate of deposit often charges a penalty for withdrawing funds before the maturity date. If the penalty involves two months of interest, what would be tbe amount for early withdrawal on a CD paying 7 percent and valued at $18,000? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answers

Penalty time = 2 months of interest = 2 x (7/100 x 18,000) = $2520.00

This serves as a deterrent to encourage individuals to leave their money in the CD until the maturity date.

Penalty = 2 months of interest = 2 x (Interest rate/100 x Value of CD)

= 2 x (7/100 x 18,000)

= $2520.00

A certificate of deposit (CD) is a financial product offered by banks and credit unions that allows an individual to deposit a certain amount of money for a fixed period of time, usually a few months to a few years. Most CDs will pay a higher rate of interest than a traditional savings account, but they come with certain restrictions. One of these restrictions is that if you withdraw funds from the CD before it reaches maturity, you will be charged a penalty time. This penalty usually involves two months of interest. Therefore, the amount of the penalty for early withdrawal on a CD with a value of $18,000 and paying 7 percent interest would be 2 x (7/100 x 18,000) = $2520.00. This serves as a deterrent to encourage individuals to leave their money in the CD until the maturity date.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

One cubic foot of a chemical weighs 60 pounds. How many pounds of the chemical can a container with the dimensions shown hold?

Answers

The number of pounds of the chemical container can hold with given dimension is,  3600 pounds

What is Volume?

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

1 ft³ = 60 pounds

A container which has dimensions,

length = 6 ft

height =  4 ft

width =  5/2 ft

Volume of container = length × height × width

             =  6 ×  4 ×   5/2

             =   60 ft³

1 ft³ = 60 pounds

60 ft³  = 60 × 60 pounds

           =  3600 pounds

To know more about Volume check:

https://brainly.com/question/13338592

#SPJ1

The television show Found has been successful for many years. That show recently had a share of 31, meaning that among the TV sets in use, 31% were tuned to Found. Assume that an advertiser wants to verify that 31% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a Found broadcast.
Find the probability that none of the households are tuned to Found.P(none) =

Find the probability that at least one household is tuned to Found.P(at least one) =

Find the probability that at most one household is tuned to Found.P(at most one) =

if at most one household is tuned to Found, does it appear that the 31% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Found unusual?)

yes, it is wrong?

no, it is not wrong?

Answers

The probabilities are given as follows:

None: 0.0116 = 1.16%.At least one: 0.9884 = 98.84%.At most one: 0.0744 = 7.44%.

The 31% share value is not wrong, as at most one household is not an unlikely outcome, as the probability is higher than 5%.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The parameter values for this problem are given as follows:

n = 12, p = 0.31.

The probability of none is given as follows:

P(X = 0) = (0.69)^12 = 0.0116.

The probability of at least one is given as follows:

P(X >= 1) = 1 - 0.0116 = 0.9884.

The probability of at most one is given as follows:

P(X <= 1) = P(X = 0) + P(X = 1)

In which:

P(X = 1) = 12 x 0.31 x 0.69^11

P(X = 1) = 0.0628.

Hence:

P(X <= 1) = P(X = 0) + P(X = 1)

P(X <= 1) = 0.0116 + 0.0628

P(X <= 1) = 0.0744.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Find the x-intercept of the function `y=3x+6`

Find the y-intercept of the function `y=3x+6`

Answers

Question 1 : find x intercept

y=0

0=3x+6
subtract 6 from both sides, after doing that, the equation would be : -6=3x

Then divide by -3 on both sides, the answer would be : x=3

Therefore the x intercept as a coordinate is (3,0)


Question 2 : find the y intercept

x=0

y=3(0)+6

y=6

Therefore the y intercept as a coordinate would be (0,6)

Hope this helped =)

-YinAhara

In order to gain popularity among students, a new pizza place near school plans to offer a special promotion. The cost of a large pizza (in dollars) at the pizza place as a function of time (measured in days since February 10th) may be described as⎧9, 0 ≤ t ≤ 3C(t)= ⎨9+t, 3 < t ≤ 8⎩20, 8 < t < 28(Assume t only takes whole number values.) Write an expression that describes the sentence "The cost of a large pizza is at least A dollars B days into the promotion," using function notation and mathematical symbols only.

Answers

An expression that narrates this sentence using function notation and mathematical symbol: C(B) ≥ A

According to the question,

The cost of the large pizza is at least A dollars B days into the promotion.

The statement that a pizza is at least A dollars B days into the promotion means that the cost of a large pizza B days into the promotion and denoted C(B) and it is greater than or equal to A dollars. Thus, an expression that reports this sentence using function notation and mathematical symbols is simply :

                 C(B) ≥ A

So, the expression is C(B) ≥ A .

Read more about function:

https://brainly.com/question/25638609

#SPJ4

Draw the graph of 5-3x-2x^2=0​

Answers

This is a answer of graph format. (1 - x) • (2x + 5)  = 0

what is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.A network with paths connecting any two of its vertices. Any two vertices or nodes in a disconnected graph are those that are separated by a path.Graph that completes a cycle is called a cycle graph. Complete Graph is a graph is said to be complete when every pair of vertices is connected by an edge.A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, often referred to as vertices, in a network are connected by edges.

Pull out like factors : [tex]-2x^{2} - 3x + 5 = -1 • (2x^{2} + 3x - 5)[/tex]

Factoring  [tex]2x^{2}[/tex] + 3x - 5

The first term is,  [tex]2x^{2}[/tex]  its coefficient is  2 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -5

Multiply the coefficient of the first term by the constant   2 • -5 = -10

Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

       -10    +    1    =    -9

     -5    +    2    =    -3

     -2    +    5    =    3    That's it

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5

                    [tex]2x^{2} - 2x + 5x - 5[/tex]

Add up the first 2 terms, pulling out like factors :

                   2x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-1)

Add up the four terms of step 4 :

                   (2x+5)  •  (x-1)

            Which is the desired factorization.

Equation :

 (1 - x) • (2x + 5)  = 0

To learn more about graph refer to

https://brainly.com/question/19040584

#SPJ1

Round your answer to the nearest thousandth.

Answers

The correlation coefficient for the data in the table is given as follows:

r = 0.724.

How to obtain the correlation coefficient for the data-set?

The coefficient is obtained inserting the points in a data-set in a correlation coefficient calculator.

The input and output variables are given as follows:

Input: initial approval rating.Output: final approval rating.

Hence the points that compose the data-set are given as follows:

(48, 34), (70, 46), (81, 38), (81,49), (86,49).

Inserting these points into a calculator, the correlation coefficient for the data is given as follows:

r = 0.724.

More can be learned about correlation coefficients at brainly.com/question/16355498

#SPJ1

Analia is a school district manager. Here are some details about two schools in her district for the last school year: School A School B Number of students 3000 30003000 4000 40004000 Number of teachers 190 190190 380 380380 Graduation rate 86 % 86%86, percent 90 % 90%90, percent Budget per student $ 10 , 500 $10,500dollar sign, 10, comma, 500 $ 10 , 000 $10,000dollar sign, 10, comma, 000 % of students in sports club 62 % 62%62, percent 68 % 68%68, percent Number of sports medals won 9 99 7 77 SAT average 1200 12001200 1050 10501050 SAT range (max-min) 900 900900 700 700700 Analia wants to know which school has higher academic achievements relative to the number of teachers per student. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

Answers

The two different quantities to measure which school has higher academic performance are :

• Graduation rate / Budget per student

• SAT average / Budget per student

How to calculate the performance?

To specify a number that represents academic achievement. We compare the budget per pupil for each school to a related metric or parameter that measures the academic performance of the students in each school.

The following variables could be used to gauge academic achievement:

• Each school's graduation rate.

• Each school's average SAT score.

Therefore, Graduation rate / Budget per student and SAT average / Budget per student are appropriate in this case.

Learn more about ratio on:

https://brainly.com/question/2328454

#SPJ1

Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.(1 point)

Answers

The cost of the guitar string is given by the equation b = $ 1.30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of one guitar pick be = c

Let the cost of one guitar string be = b

And , Patrick bought 25 guitar picks and 25 guitar strings for = $ 40

Substituting the values in the equation , we get

25c + 25b = 40   be equation (1)

Now , cost of one guitar string = 1 + c

b = 1 + c   be equation (2)

Substituting the value of b in equation (1) , we get

25c + 25 ( 1 + c ) = 40

On simplifying the equation , we get

25c + 25 + 25c = 40

Subtracting 25 on both sides of the equation , we get

50c = 15

Divide by 50 on both sides of the equation , we get

c = $ 0.30

So , the cost of one guitar string = $ 1 + $ 0.30 = $ 1.30

Hence , the cost of one guitar string is $ 1.30

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Susan bought three video games at one price
and 2 videos priced $2 below the others. The
total cost was $91.50. Find the prices of the
video games.

Answers

The price of first 3 video games is $57.3 and the other 2 videos games is $34.2 in the given arithmetic problem.

What is arithmetic problem?

The study and use of numbers, mathematical relationships between numbers, and mathematical observations are all covered by the branch of mathematics known as arithmetic.

The core ideas in number theory, measurement, and computation are typically referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots). It hasn't always meant the same thing, though, in the mathematical community.

Susan bought total 5 games

Lets the higher price be x

and lower be y

3x + 2y = $91.50

and

x - y = $2

x = 2 + y

Putting the value of x in first formula

3(2 + y) + 2y = 91.50

6 + 3y + 2y = 91.50

3y + 2y = 91.50 - 6

5y = 85.5

y = 85.5/5

y = 17.1

2y = 34.2

Putting the value of y in x

x = 2 + (17.1)

x = 19.1

3x = 57.3

Thus, the price of first 3 video games is $57.3 and the other 2 videos games is $34.2.

Learn more about arithmetic

https://brainly.com/question/11559160

#SPJ1

if a coin is tossed five times: find the probability of getting at least one tail. give answer as simplified fraction.

Answers

The probability of obtaining at least one tail is equal to one minus the probability of getting all heads when a coin is tossed five times.

The probability of obtaining at least one tail is equal to one minus the probability of getting all heads when a coin is tossed five times.

3/8

The probability of obtaining at least one tail is equal to 1 minus the probability of obtaining all heads. The probability of obtaining all heads is 1/2^5 = 1/32. Therefore, the probability of obtaining at least one tail is 1 - 1/32 = 31/32. This simplifies to 3/8.

The probability of obtaining at least one tail is equal to one minus the probability of getting all heads when a coin is tossed five times. The probability of obtaining all heads is one out of two to the power of five, which is equal to one out of thirty-two. Therefore, the probability of obtaining at least one tail is one minus one out of thirty-two, which is equal to thirty-one out of thirty-two. This simplifies to three out of eight.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

HELP PLSSS URGENT
IMAGE ATTACHED

Answers

c From the graph, it appears that around 50% of seniors had used alcohol in 2015.

d.This gives us: A=-0.8(25)+63=50%. So, both the line graph and the formula estimate that around 50% of seniors had used alcohol in 2015.

What is line graph and determine it?A line graph is a type of chart that displays data as a series of points connected by linesIt is used to visualize trends over time or changes in valueLine graphs can have multiple data series represented by different colors or styles of linesThey are useful for comparing data and identifying patterns or fluctuations.Line graph is good for showing the trend of a continuous variable over time. A=-0.8n+63 can be changed to A=25 (because 2015 is 25 years after 1990) to get the proportion of seniors who had ever drank alcohol in 2015 using the formula. A=-0.8n+63 can be changed to A=25 (because 2015 is 25 years after 1990) to get the proportion of seniors who had ever drank alcohol in 2015 using the formula.

To learn more about line graph refer:

brainly.com/question/26233943

#SPJ1

Other Questions
the manga that extremly wealthy boy that people are constaly trying to kidnap and the girl he likes who is super strong but tries to deny it What are the rules of inequalities?. A student reads about a sexually reproducing population that has high genetic variability. Which statement best explains how this characteristic affectssurvival of the population if it is exposed to a new disease? A 300 milliliter bottle and a 500 milliliter bottle are filled with a cold drink. How many milliliters of cold drink are there in the two bottles combined? A. 1200 B. 800 C. 500 D. 300 Verifying Surface Area of Cuboid/ CylinderPLEASE VERY URGENT!!!!!! Terry and Ahmad plan to adopt 3-year-old Oleg, who has been living in an orphanage since birth. Terry and Ahmad should know that early, prolonged institutionalization __________.A) fosters resilience in later childhood and adolescenceB) increases the brains capacity to manage stressC) leads to a decrease in size and activity in the cerebral cortexD) has little impact on intellectual development PLEASE HELP!!!! An 85 kg snowboarder accidentally goes off trail and ends up in the middle of a frozen lake and comes to a stop. He remembers taking physics and learning about conservation of momentum in high school and decides to take off his 10 kg backpackand throw it as hard as he can since he won't need it from being so smart for passing physics) at a speed of 6 m/s East. At what speed and direction will the snowboarder move after throwing the bag? A species of beetle can be either black or brown in color. The beetle's color is determined by a single gene, and black is recessive to brown. If changes in the environment put the brown beetles at a disadvantage for survival, which of the following will most likely occur? (R) A rancher has 260 meters of fence with which to endose three sides of a rectangular meadow (the fourth side is a river and will not require fencing). Find the dimensions of the meadow with the largest possible area (For the purpose of thls problem , the width will be the smaller dimenslon (needing two sides); the length with be the longer dimension (needing one side) ) length ..... meters width ...... meters What is the largest area possible for this meadow? area meters-squared Enter your answers as numbers. If necessary; round to the nearest hundredths What is the importance of studying the stages of cell cycle in cancer medicine?. Which of the following was one of the first directors to study the conventions of realism in an attempt to make their play productions even more lifelike?A) Arthur MillerB) Clive BarnesC) George II, Duke of Saxe-MeiningenD) Paul Fort Harold Baron, British historian, book describing the chemical industry of Europe, published in 1909. The emergence of the German industries referred to in the passage is most directly explained by which of the following processes in the 19th century?answer choicesO The spread of new industrial technology such as the internal combustion engine from the United StatesO The development of new methods of production during the second industrial revolutionO The greater diversity of manufactured goods produced by industrial factoriesO The growing importance of using Cole as fuel in the industrial production to insert the current date only in cell b1, type current date in cell a1 and now() in cell b1 and press enter. Which factor does NOT influence the preferential discharge of an ion at the anode during electrolysis of an aqueous electrolyte?the position of an ion in the electrochemical seriesthe strength of the electrolytethe type of anodethe concentration of the electrolyte why should the city of Bogot pay for conservation efforts in the paramos What precautions should be taken to make a computer more secure?Install anti-virus softwareTurn on Windows automatic updatesInstall a firewallAll of the aboveNone of the above A person exerts a force on a box that is at rest on the Earth. The arrowsin the diagrams shown represent the direction of the applied force. Doesthe gravitational potential energy of the box change in case A? What are the six principal advantages of Jonathan Swift's plan in A Modest Proposal?. What is the surgical procedure for removing the synovial membrane from the joint? link the following concepts with their definition: group of answer choices locus a section of the genome that codes for a particular molecule. gene a specific region in the genome. f1 generation resulting offspring from pure bred parents f2 generation resulting offspring of f1 generation