the price stock A at 9 am was $13.92. since then the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was 14.67. It begins to decrease at the rate of $0.14 each hour. if the two rates continue , in how many hours will the prices of the two stocks be the same

Answers

Answer 1

The number of hours when the two stocks would be the same is 1.68 hours.

In how many hours would the two stocks be the same?

The first step is to determine the price of stock A at noon.

Price of stock A at noon = price at 9am + (rate of increase per hour x time difference)

Time difference = 12 - 9am = 3 hours

= $13.92 + (0.11 x 3)

= $13.92 + 0.33

= $14.25

Value of stock A t hours after noon = $14.25 + (0.11 x t)

= $14.25 + 0.11t

The equation that can be used to determine the price of stock B at time t is:

Price of stock B at time t = beginning price - (rate of decline x time)

= $14.67 - (0.14 x t)

= $14.67 - 0.14t

When the two stocks are the same, the two equations would be equal to each other:

$14.25 + 0.11t = $14.67 - 0.14t

solve for t:

0.11t + 0.14t = $14.67 - $14.25

0.25t = 0.42

t = 0.42 / 0.25

t = 1.68 hours

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Related Questions

In an ossicles triangle the base is 65 which of the following expressions is a way to calculate the measure of the third triangle

Answers

The measure of the third angle in an isosceles triangle can be expressed using the expression of option c. 180° - 2(65°).

In an isosceles triangle,

Measure of the base angles is equal to 65°.

Let us consider the measure of the third angle in an isosceles triangle is equal to x degrees.

The two base angles are congruent.

Since each base angle measures 65°, the sum of the base angles is.

65° + 65° = 130°

The sum of the angles in any triangle is 180°.

This implies,

The measure of the third angle in the isosceles triangle is equal to,

x° + 130° = 180°

⇒ x° = 180° - 130°

⇒ x° = 50°

Therefore, the correct expression to calculate the measure of the third angle in an isosceles triangle is option (c) 180° - 2(65°).

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The above question is incomplete, the complete question is:

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

a. 180° - 65°

b. 180°+ 65°

c. 180° - 2(65°)

d. 180° + 2( 65°)

A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?

Answers

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)


Determine the equation of the circle with center (0,−1) containing the point ( − 8 , 10 )

Answers

To find the equation of the circle with center (0, −1) that contains the point (−8, 10), we can use the standard form of the equation of a circle:


(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is the radius.



Since the center of the circle is given as (0, −1), we have:


(x - 0)^2 + (y + 1)^2 = r^2


We still need to find the radius, r. We know that the circle passes through the point (−8, 10), so we can substitute these values for x and y and solve for r:


(-8 - 0)^2 + (10 + 1)^2 = r^2

64 + 121 = r^2

r^2 = 185

So the equation of the circle is:

x^2 + (y + 1)^2 = 185



Alternatively, we can expand the equation to get it in standard form:


x^2 + y^2 + 2y + 1 = 185

x^2 + y^2 + 2y - 184 = 0


So another form of the equation is:


x^2 + (y + 1)^2 =
185

1. Simplify(3mks)
a + b / 2 - 2A - b / 3 =​

Answers


a + b / 2 - 2A - b / 3 = -12/A+6a+b/6

Use the long division method to find the result when 4x^3+15x^2+17x+6 is divide by 4x+3

Answers

The result when 4x³ + 15x² + 17x + 6 is divide by 4x + 3 using long dividion method will be x² + 3x + 2.

Given that:

Dividend, 4x³ + 15x² + 17x + 6

Divisor, 4x + 3

The division of the polynomial is given below.

4x + 3 ) 4x³ + 15x² + 17x + 6 ( x² + 3x + 2

         - (4x³ + 3x²)

                    12x² + 17x

                 - (12x² + 9x)

                               8x + 6

                            - (8x + 6)

                                0    0    

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Callie uses leather cord to make necklaces. She has a pieces of leather cord that has a length of 4 yards. Each necklace will have a length of 28 inches. How many necklaces can Callie make? Show your work.

Answers

Callie can make 5 necklaces.

What is the formula for yards to inches?

So to convert from a value in inches to one in yards, we need to divide by 36. To convert a value in yards to inches, we need to multiply by 36.

Now, She has a pieces of leather cord that has a length of 4 yards.

Each necklace will have a length of 28 inches.

We have to determine the how many necklaces can Callie make?

We know that :

1 yard= 36 inches

So, Multiply by 36 into 4 yards

4 yards= 36x4= 144

Length of leather cord is 4 yards

144/4 = 5.14

Callie can make 5 necklaces.

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attractiveness vaties inversely with the wiggles. At 300 wiggles the attractiveness is 10. What would the attractiveness be at 150 wiggles

Answers

Answer:

5

Step-by-step explanation:

300÷2=150 ⇒300 wiggles=10 wiggles⇒ 10÷2=5

Someone rolls a die 180 times.
Given: 1. She can expect to see 30 aces in 180 rolls (aces means one spot) and 2. The give or take number for this result is 5 (standard deviation).
Question: What are the chances she gets between 20 and 40 aces? (inclusive of the endpoints 20 and 40)

Answers

The chances of rolling between 20 and 40 aces (inclusive) in 180 rolls is approximately 0.9544 or 95.44%.

How to solve for the probability

We can first standardize the values of 20 and 40 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize (20 or 40), μ is the expected value (30), and σ is the standard deviation (5).

For x = 20, we get:

z = (20 - 30) / 5 = -2

For x = 40, we get:

z = (40 - 30) / 5 = 2

probability of getting a z-score between -2 and 2.

Using a standard normal distribution table or calculator, we find that the probability of getting a z-score between -2 and 2 is approximately 0.9544.

Therefore, the chances of rolling between 20 and 40 aces (inclusive) in 180 rolls is approximately 0.9544 or 95.44%.

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solve 5 to the power of x+2 is less than or equal to 3 to the power of x

Answers

Step-by-step explanation:

5^(x+2)  <= 3^x    

5^x  *  5^2  <= 3^x

25 <=  3^x / 5^x

25<= (3/5)^x                  LOG both sides

log 25 <= x log (3/5)

log 25 / log (3/5) <= x

- 6.3 <= x

Use properties of exponents to verify that 2s − 1 and _1
2 (2)
s
are equivalent.

Answers

The properties of the exponents are solved and the expression is given by the relation ( 2s )⁻¹ = 1 / 2s

Given data ,

Let the expression be represented as A

Now , the value of A is

( 2s )⁻¹ = 1 / 2s

From the laws of exponents , we get

m⁻ᵃ = ( 1 / mᵃ )

So , on simplifying , we get

( 2s )⁻¹ = 1/ ( 2s )

On further simplification , we get

1/ ( 2s ) = ( 2s )⁻¹

Hence , the expression is ( 2s )⁻¹ = 1/ ( 2s )

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The complete question is attached below :

Use properties of exponents to verify that ( 2s )⁻¹ = 1/ ( 2s ) are equivalent.

In a class of 50 students, they had a chance to read novel,comics and textbook 21 read novel,24 read comics and 18 read textbook 3 read only novel 9 read only comics and 2 read only textbook 5 read all the 3. illustrate your information on a venn diagram. use your diagram to find the number of students who read a. comics and novel only b. textbook and novel only c. none of the 3​

Answers

The number of students are as follows:

novel and textbook is 7textbook and comics is 3comic and novel is 4

What is the number of students who read comics and novels only?

To find the number of students who read comics and novels only:

there are a total number of students 5021 students read novel24 students read comics18 students read textbook 3 read novel only9 read comic only2 read textbook only5 read all 3 books

Let novel and textbook = x

Let textbook and comics = y

Let comic and novel = z

y + x = 11 --- (1)

y + z = 10 --- (2)

x + z = 13 --- (3)

Make y subject of the formula in (2)

y = 10 - z

substitute for y in (1)

10 - z + x = 11 --- (4)

solve (3) and (4) simultaneously by addition

10 - z + x + x + z = 11 + 13

2x = 24 - 10

x = 7

y = 11 - 7

y = 3

z  = 13 - 7

z = 4

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Square root of 1444. Yumikkpyn vo lyuyb

Answers

Answer:

38

Step-by-step explanation:

the square root of 1444 is 38.

Using the integers −9 to 9 at most one time each, place a digit in each box ( ___ , ____) and. ( ___ , ____) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3)

Answers

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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I need help with questions 2-6 and I want to make sure I got question one right

Answers

Well for quesiton 1 the answer is yes they are similar

PLEASE HELP!!
What is the area of the circle? Approximate using pi equals 22 over 7. a circle with radius labeled 42 yards 22,176 square yards 5,544 square yards 264 square yards 132 square yards

Answers

The calculated value of the area of the circle is 5544 square yards

What is the area of the given circle?

From the question, we have the following parameters that can be used in our computation:

Radius, r = 42

Using the above as a guide, we have the following:

Area = π * r^2

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

Area = 22/7 * 42^2

Evaluate the products and exponents

Area = 5544

Approximate

Area = 5544

Hence, the value of the area is 5544 square yards

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A study of patients with insulin-dependent diabetes was conducted to investigate the
effects of cigarette smoking on renal and retinal complications. Before examining the
results of the study, you wish to compare the baseline measures of systolic blood pressure across four different subgroups: nonsmokers, current smokers, exsmokers, and tobacco chewers. A sample is selected from each subgroup; the relevant data are provided below [217]. Sample means and standard deviations are expressed in millimeters of mercury (mm Hg). Assume that systolic blood pressure is normally distributed.
(a) Calculate the estimate of the within-groups variance for the four populations.
(b) Calculate the estimate of the between-groups variance.
(c) Calculate the test statistic to evaluate the null hypothesis that the mean systolic blood
pressures of the four groups are identical.
(d) What is the probability distribution of the test statistic?
(e) If you are conducting the test at the 0.05 level of significance, do you reject or fail to reject the null hypothesis?
(f) What do you conclude?

Answers

The within-group sum of squares is 58250.44

The degrees of freedom are given as 355

The estimate of the within-groups variance is 164.0657

What is Variance?

Variance, as a statistical measure, evaluates the level of variability or dispersion contained in a dataset by inspecting how distant each value in a set is from the mean of that same set.

If there is a higher variance, it signals that data points are more widely distributed and further removed from the mean, whereas if there is a lower variance, one can assume that they are primarily clustered more closely around the mean.

To obtain the variance value, one must determine an average signal-to-noise ratio for each squared difference derived from every respective value taken away from the arithmetic mean. It is no exaggeration to say that variance is progressively employed across diverse subject areas including finance, engineering, and science.

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hi how to integrate this​

Answers

Integration of   [tex]\int\limits^6_0 {\frac{8}{1+74e^{-0.3t} } } \, dt[/tex]   is 2.199.

We can solve this integral using the substitution method, where u = 1 + 74[tex]e^{-0.3t}[/tex] . Taking the derivative of both sides, we have du/dt = -222[tex]e^{-0.3t}[/tex] .

We can rewrite the integral in terms of u:

∫[8/(1+74[tex]e^{-0.3t}[/tex] )]dt = ∫[8/u * (-1/222) * (-222[tex]e^{-0.3t}[/tex] )]du

Simplifying this expression, we have:

= (-8/222) ∫[1/u] du

= (-4/111) ln|u| + C

where C is the constant of integration.

Substituting back for u, we have:

= (-4/111) ln|1 + 74[tex]e^{-0.3t}[/tex] | + C

To evaluate the definite integral from 0 to 6, we plug in the limits of integration:

= (-4/111) [ln | 1 + 74[tex]e^{-0.3(6)}[/tex] | - ln | 1 + 74[tex]e^{-0.3(0)}[/tex] |]

= (-4/111) [ln|1 + 74[tex]e^{-1.8}[/tex]| - ln75]

≈ 2.199

Therefore, the value of the definite integral is approximately 2.199.

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the surface area of a rectangular prism is 1,648 inches, the width is 16 inches and the hight is 20 inches. What is the length

Answers

Answer:

14

Step-by-step explanation:

l = length, w = width, h = height.

The surface area of a rectangular prism is:

2lw + 2wh + 2lh.

If the total surface area is 1648, your equation will be:

2lw + 2wh + 2lh = 1648.

lw + wh + lh = 824.

Plug in your width and height values.

16l + 16*20 + 20l = 824.

36l = 504.

Length = 14.

Answer:

[tex]\boxed{\sf l=14(in)}.[/tex]

Step-by-step explanation:

1. Write the surface area equation for rectangular prisms.

[tex]\sf SA=2(wl+hl+hw)[/tex]

2. Substitute the variables by the given values in the formula.

Surface area (SA)= 1,648 inches;

Width (w)= 16 inches;

Height (h)= 20 inches.

[tex]\sf 1648(in)=2((16(in))l+(20(in))l+(20(in))(16(in)))[/tex]

3. Simplify the expression.

Let's remove the units for these steps to make the algebra a little bit easier to understand.

[tex]\sf 1648=2(16l+20l+320)\\ \\1648=2(36l+320)[/tex]

Here, we apply the distributive property of multiplication. Check attached image 1.

[tex]\sf 1648=(2)(36l)+(2)(320)\\\\1648=72l+640[/tex]

Now solving the equation for "l" to find its value.4. Subtract "640" from both sides of the equation.

[tex]\sf 1648-640=72l+640-640\\ \\1008=72l\\ \\72l= 1008[/tex]

5. Divide both sides by "72".

[tex]\sf \dfrac{72l}{72} = \dfrac{1008}{72} \\ \\\\ \boxed{\sf l=14(in)}.[/tex]

6. Verification.

If you want to verify this answer simply take the surface area formula for rectangular prisms and calculate the value for the SA using these values of lengh, width and height:

[tex]\sf SA=2((16)(14)+(20)(14)+(20)(16))=\boxed{\sf 1648}. That's\,correct![/tex]

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When 1370 subjects were​ asked, "On how many days in the past 7 days have you felt​ lonely?" the mean was 1.5 and the standard deviation was 2.16. The margin of error for a​ 95% confidence interval for the population mean is 0.12. Construct that confidence​ interval, and interpret it. The confidence interval goes from nothing to nothing. ​(Round to two decimal places as​ needed.)

Answers

Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

The volume of a rectangle prism is 810 square centimeters .
Height = 15 cm
Width = 3 cm
Find the missing length

Answers

The length of the rectangular prism is 18 cm.

Volume of a Rectangular Prism Formula:

The formula for the volume of a rectangular prism is given as:

Volume of a rectangular prism = (length x width x height) cubic units.

V = (l x w x h) cubic units

In a rectangular prism, the product of the length and the width is known as the base area. Therefore, we can also represent the volume of a rectangular prism formula as:

Volume of a rectangular prism = Base area x height

Now, We have :

The volume of a rectangle prism is 810 square centimeters .

Height = 15 cm

Width = 3 cm

To find the length of the rectangular prism

Now, Apply the formula of volume of rectangular prism

Volume of rectangular prism is(V) : (l x w x h) cubic units

Plug all the values in above formula:

810 = l x 3 x 15

810 = 45L

L = 810 / 45

L = 18cm

Hence, The length of the rectangular prism is 18 cm.

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A scientist has 68 lbs of a material. In 40 years , there is 63.3 lbs left. How much will be there be left in 200 years?

Answers

Evaluating the exponential decay we can see that 200 years, there will be 47.43 pounds left of the material.

How much will be there be left in 200 years?

A general exponential decay is:

f(x) = A*(b)^x

Where A is the initial value, b is the rate of decay, x is the variable.

We know that we start with 68 pounds, and after 40 years there are 63.3 pounds left, so we have an exponential decay:

63.3 = 68*(b)^40

Where b defines how it decays, we can solve that equation for b to get:

(63.3/68)^(1/40) = b

0.9982 = b

Then the decay is:

f(x) = 68*(0.9982)^x

The amount left after 200 years will be:

f(200) = 68*(0.9982)^200 = 47.43

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According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 

Answers

The approximate solution to the trigonometric inequality tan(x/4) < 1/5 over the interval 0 <= x <= 2π radians is 0 <= x <= 0.75. Option 1 is correct.

To solve the trigonometric inequality tan(x/4) < 1/5 over the interval 0 <= x <= 2π radians, we can use a graphing calculator and follow these steps:

Press the "mode" button on the calculator and make sure it is in radian mode.Enter the function "tan(x/4)" into the calculator.Press the "y=" button and enter "1/5" as the second function.Press the "graph" button to plot both functions on the same graph.Use the "trace" function or the cursor to find the points where the two graphs intersect.Check the values of x for which the tan(x/4) function is less than 1/5.

Using this method, we can see that the two graphs intersect at approximately x = 0.75, x = 4.6, and x = 8.4 (or their equivalents within the interval 0 <= x <= 2π). We can also see that the tan(x/4) function is less than 1/5 between the first two intersection points (0 <= x <= 0.75 and 4.6 <= x <= 2π), but not between the second and third intersection points. Hence Option 1 is correct.

Note: Since we are rounding to the nearest degree, the approximate values may not be exact and may need to be adjusted slightly to ensure accuracy.

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which expression represents the distance between point j and point k?

Answers

The calculated expression that represents the distance between point j and point k is |j - k|

Which expression represents the distance between point j and point k?

From the question, we have the following parameters that can be used in our computation:

Point j and point k

The expression that represents the distance between point j and point k is the absolute difference of the points j and k

Using the above as a guide, we have the following:

Distance = |point j - point k|

So, we have

Distance = |j - k|

Hence, the expression that represents the distance between point j and point k is |j - k|

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13x−6y=22
x=y+6
Please help first come first surve

Answers

Answer:

The answer is

x= -2

y= -8

Step-by-step explanation:

x=y+6

substitute into equation 1

13(y+6)-6y=22

13y+78-6y=22

13y-6y=22-78

7y=-56

divide both sides by 7

7y/7= -56/7

y= -8

x=y+6

x= -8+6

x= -2

TONS OF POINTS - please help


The Cannon: Ernest's friend Nik is about to be shot out of a cannon. The path he will
travel follows a parabolic arch that can be described by this polynomial.
f(x) = -0.05(x2-26x-120)
He is supposed to land on a safety net 30 feet away. Does the function give you
enough information to tell you where he will land? If so, how far from the cannon will he land?

Make Sense of the Problem
3 points: 1 point for each answer.

-What do you know?
-What do you want to find out?
-What kind of answer do you expect?

1. The function f(x)=-0.05(x2-26x-120)
Represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent

2.what do the zeros of this function represent? Remember the zeros are where f(x)=0

3. Will the zeros tell you where the net should be placed? Why or why not?

4.to find zeros, set the function equal to 0, and then factor the polynomial start by setting the function equal to 0

5. Next factor the polynomial x2-26x-120. To identify the factors, complete the table: note this does not contain all the factors of -120, but it has enough to let you factor the polynomial
(I tried to type out the table )
pqp+q

P. q. p. |
————————— |
10. | 12 | blank. |
—————————.|
-10 | 12 |. Blank. |
—————————.|
30. |. -4. |. Blank. |
—————————-|
4. |. 30. | blank. |
—————————.|

6. Which values of p and w give the correct factors

7. Factor the polynomial completely
0=-0.05(x2 - 26x -120)


8. Find the roots of equation by setting each factor equal to 0 and solving for x.
Hint: there are three factors, but the constant factor, -0.05, does not equal zero
Solve for x with the other two factors

9. Identify the roots


Answers

Answer:

Step-by-step explanation:

2344

find the polar coordinates of a point with Cartesian coordinates (x,y)=(5√3/2,−5/2).Select the correct answer below:



(5,5π/6)

(10,4π/3)

(5,11π/6)

(10,5π/6)

(5,4π/3)

(10,11π/6)

Answers

Answer: The correct answer is (5, 11π/6). or C

Step-by-step explanation:

The polar coordinates of the point (x, y) = (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

Explanation:

Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

Plugging in the given values:

r = √((5√3/2)^2 + (-5/2)^2)

= √(75/4 + 25/4)

= √(100/4)

= 5

θ = atan2(-5/2, 5√3/2)

≈ 11π/6 radians

So, the correct polar coordinates of the point (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

WXYZ is a parallelogram. If ZX = 104 and ZU = 11c-3, find the value of c.

Answers

The value of c for the parallelogram WXYZ is 5

What is Parallelogram?

Parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary and the opposite sides need to be parallel.

How to determine this

When WXYZ is a Parallelogram

ZX = 104

ZU = 11-2c

By using the law of parallelogram

ZU = UX

Therefore, ZX = ZU + UX

Where ZU = UX

So, 104 = 11c- 23 + (11c -3)

104 = 11c - 3 + 11c - 3

104 = 11c + 11c - 3 - 3

104 = 22c - 6

Collect like terms

104 + 6 = 22c

110 = 22c

Divides through by 22

110/22 = 22c/22

5 = c

Therefore, the value of c = 5

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La base de un rectangulo mide el doble de su altura. Cuales son sus dimensiones Si el perimetro mide 144 cm ?

Answers

Answer:

Las dimensiones del rectángulo son:

altura = 24 cm

base = 48 cm

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura+base)

Planteamiento:

144 = 2(a+b)

b = 2a

a = longitud de la base del rectángulo

b = longitud de la altura del rectángulo

de la primer ecuación del planteamiento:

144/2 = a+b

72 = a+b

b = 72-a

igualando este último valor con el de la segunda ecuación del planteamiento:

2a = 72 - a

2a + a = 72

3a = 72

a = 72/3

a = 24 cm

b = 2a

b = 2*24

b = 48 cm

Comprobación:

144 = 2(24+48)

144 = 2*72

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Which is an example of simple random sampling created from each given population?

Answers

An example of simple random sampling is given as follows:

C. In a bag of more than 500 marbles, reaching the hand into a bag and drawing 25 of them.

How are samples classified?

Samples may be classified as:

A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.

Hence the samples for this problem are classified as follows:

A -> convenient.B -> stratified.C -> random.D -> cluster.

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find the mean of brothers and sisters

Answers

The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean([tex]\bar{x}[/tex]) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean([tex]\bar{x}[/tex]) = sum of all data values / total number of data values

mean([tex]\bar{x}[/tex]) = 12 / 4

mean([tex]\bar{x}[/tex]) = 3

Therefore, the required mean is: 3

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