DUE SOON!!! NEED HELP ON THESE TWO QUESTIONS PLEASE!
DUE SOON AND I DONT UNDERSTAND IT!
MANY THANKS!
WILL GET 100 POINTS! PLEASE HELP!!
Answers
The restrictions for x and y are given as follows:
3. x ∈ W, y ∈ W.
5. x ∈ W, y ∈ W.
What are the restrictions?To obtain the restrictions, the first step is classifying the variables as either discrete or continuous, as follows:
Discrete variables are countable values, that can assume only whole or integer values, that is, they do not assume decimal values.Continuous variables can assume decimal values, hence they are real values.In this problem, the variables are both resumed as follows:
Number of tickets sold in the Super Bowl.
The possible values are given as follows:
0, 1, 2, ...
Which are countable values, hence discrete, and that also cannot assume negative values, hence they belong to the whole set and not the integer set, thus the restrictions are:
x ∈ W, y ∈ W.
More can be learned about discrete and continuous variables at https://brainly.com/question/3130222
#SPJ1
Related Questions
Which is an example of the commutative property of addition?
A. 4+(1+2)=(4+1)+2
B. 2+2=3+1
C. 2+3=2+4
D. 4+3=3+4
Answers
The example of the commutative property of addition is option (D) 4 + 3 = 3 + 4
The commutative property of the addition states that changing the order of the numbers or the variable does not affect the result of sum
The commutative property of addition is
A + B = B + A
Here the position of the variable A and B are changed but still the result is same
From the given option
The example that shows the commutative property of addition is
4 + 3 = 3 + 4
Here the position of the 3 and 4 changed, but the result will be
7 = 7
Therefore, the correct example is option D) 4 + 3 = 3 + 4
Learn more about commutative property here
brainly.com/question/778086
#SPJ4
Sample Response: First, I would write the rate as a fraction. Then I would divide the numerator by the denominator. Which key phrases did you use in your response? Find an equivalent ratio that compares a quantity to exactly one unit of another quantity. Write the rate as a fraction. Divide the numerator by the denominator.
Answers
The key phase that we see in our response is "Divide the numerator by the denominator" (option C).
What is a key phrase?A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.
In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.
Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.
Learn more about key phrase in: https://brainly.com/question/14108844
#SPJ1
a one sided confidence interval bounding the high side is desired for the true average stray-load loss (in watts) for a certain induction motor when the line current is held at 10 amps for a speed of 1500 rpm. assume that the stray-load loss population is normally distributed with standard deviation = 2. Compute a one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71. Give your answer accurate to three decimal pointsPlease show steps with out excel or calculators I use tables only
Answers
using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.
The standard normal distribution table is used to calculate the critical value for this problem.
The critical value at 99% confidence level is 2.576.
The formula for the one-sided confidence interval is given by:
Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n))Therefore, the one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71 is:
Upper Bound = 71 + (2.576 * 2/sqrt(86))
Upper Bound = 71 + (1.41)
Upper Bound = 72.41
The one-sided 99% Confidence Interval for mu when n = 86 and X_Bar =71 is calculated by using the standard normal distribution table to find the critical value of 2.576, and then using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.
Learn more about standard deviation here
https://brainly.com/question/13905583
#SPJ4
In a study to determine whether miles driven is a good predictor of trade-in value, 11 cars of the same age, make, model, and condition were randomly selected. The following scatterplot shows trade-in value and mileage for those cars. Five of the points are labeled A, B, C, D, and E, respectively.
E $6,500+ А $6,000 B $5,500+ $5,000+ $4,500+ Value $4,000 + + 50 60 70 80 90 100 Miles Driven (thousands) Which of the five labeled points is the most influential with respect to a regression of trade-in value versus miles driven?
Answers
Point E does not follow the trend with respect to the other data and is probably an outlier. The value of the car is much higher than other cars with similar miles driven.
"Information available from the question",
In the question:
In a study to determine whether miles driven is a good predictor of trade-in value, 11 cars of the same age, make, model, and condition were randomly selected. The following scatterplot shows trade-in value and mileage for those cars.
Five of the points are labeled A, B, C, D, and E, respectively.
E $6,500+ А $6,000 B $5,500+ $5,000+ $4,500+ Value $4,000 + + 50 60 70 80 90 100 Miles Driven
To find the which point is the most influential with respect to a regression of trade-in value versus miles driven?
Now, According to the question:
According to the points of labeled:
The correct answer is :
To see the figure.
Hence, Point E does not follow the trend with respect to the other data and is probably an outlier. The value of the car is much higher than other cars with similar miles driven.
Learn more about Regression at:
https://brainly.com/question/15404525
#SPJ4
cost per pound ($) ingredient beginning ending quantity (pounds) per 100 pounds of product a 2.50 3.95 25 b 8.75 9.90 15 c 0.99 0.95 50
Answers
The relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.
In the given question we have to compute the price relatives for the three ingredients A, B and C.
Now finding the relative price using the formula.
Relative Price(RP) = Ending Cost(E)/Beginning Cost(B) *100
Now from the given table;
Ingredient Beginning(B) Ending(E) E/B E/B*100
A 2.50 3.95 1.58 158
B 8.75 9.90 1.131 131.1
C 0.99 0.95 0.96 96
Hence, the relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.
To learn more about relative price link is here
brainly.com/question/14223290
#SPJ4
The right question is
A chemical company produces a special industrial chemical that is a blend of three chemical ingredients. The beginning-year cost per pound, the ending-year cost per pound, and the blend proportions follow. (Round your answers to the nearest integer.)
Cost per Pound ($)
Ingredient Beginning Ending Quantity (pounds) per 100
Pounds of Product
A 2.50 3.95 25
B 8.75 9.90 15
C 0.99 0.95 70
Compute the price relatives for the three ingredients.
Item Price Relative
A
B
C
Which angle has a positive sine and a negative cosine?
Answers
The angle with a positive sine and negative cosine among the options is [tex]\frac{3\pi }{4}[/tex]
What is an obtuse angle?
Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°: Zero angle is an angle measured equal to 0°: Complementary angles are angles whose measures have a sum equal to 90°:
All obtuse angles usually have positive sine and negative cosine.
Amongst all the options [tex]\frac{3\pi }{4}[/tex] is the only obtuse angle . which if you convert to degrees
using π rad = 180 degrees, 3/4 x 180 you get 135°
In conclusion [tex]\frac{3\pi }{4}[/tex] is the angle with a positive sine and negative cosine.
Learn more about obtuse angles: https://brainly.com/question/3250447
#SPJ1
Please help! It’s really hard
Answers
The area of the entire floor is: C. 140 square feet.
How to Find the Area of a Composite Figure?The entire floor of the building given is composed of a trapezoid, rectangle, and a triangle.
Therefore, the area of the entire floor = area of the trapezoid + area of the rectangle + area of the triangle.
The formula are:
Area of entire floor = 1/2(a + b)h + (l × w) + 1/2(b)(h)
The variables are:
Base (a) = 4 ft
Base (b) = 8 ft
Height of trapezoid (h) = 6 ft
Length of rectangle (l) = 10 ft
Width of rectangle (w) = 8 ft
Base of triangle = 6 ft
Height of triangle (h) = 8 ft
Area of entire floor = 1/2(4 + 8)6 + (10 × 8) + 1/2(6)(8)
Area of entire floor = 36 + 80 + 24 = 140 square feet.
Learn more about the area of composite figure on:
https://brainly.com/question/15981553
#SPJ1
please help i need it!
thank you!!
Answers
Step by step
First we find the rate of change
According to the chart, For every ounce it costs .88 so .88/1 is your rate. You can call it .88 cents per 1 ounce.
So .88 x weight = cost $
Your equation is
.88w = 2.07
Divide both sides by .88 to solve for w
.88/.88 w = 2.07 / .88
w = 2.35
2.35 ounces weight of large envelope
Since we know .88 for 1 ounce, we can check our work and multiply .88 x 2.35 ounces
.88 x 2.35 = $2.07
Problem solved!
which expression can be used to find 20 percent of 92?; which expression gives the best estimate of 45 percent of 76?; what is 50 percent of 62? 0.31 3.1 31 310; what is 60 percent of 92?; which expression can be used to find 12 percent of $98?; which expression can be used to find 38 percent of 22?; which correctly explains how to estimate 55 percent of 64?; 20% of 190
Answers
The solved expression we get for 20% of 92, 45% of 76, 50% of 62, 60% of 92 and 12% of 98 is the numbers 18.4, 34.2,31,55.2 and 11.76.
Given that,
Finding the expression that can be utilised to find
20% of 92, 45% of 76, 50% of 62, 60% of 92 and 12% of 98.
What is percentage?From the Latin word "per centum," which means "by the hundred," the word "percentage" was borrowed. The denominator of percents is 100, making them fractions. In other words, it is the relationship between a part and a whole in which the value of the whole is consistently set to 100.
Take
20% of 92
Multiply 20%×92
=18.4
45% of 76
Multiply 45% ×76
=34.2
50% of 62
Multiply 50%×62
=31
60% of 92
Multiply 60%×92
=55.2
12% of 98
Multiply 12%×98
=11.76
Therefore,
The solved expression we get for 20% of 92, 45% of 76, 50% of 62, 60% of 92 and 12% of 98 is the numbers 18.4, 34.2,31,55.2 and 11.76.
To learn more about expression visit: https://brainly.com/question/14083225
#SPJ4
NO LINKS!! Please help me with these graphs. (NOT Multiple choice)
a. Show the end behavior
b. Shape the graph near the near x-intercepts.
1. p(x)= 2/3(3x - 6)(x + 2) (x - 3)^2
2. p(x) = (x - 3)^2 (x + 2) (2x + 7)^2
3. p(x) = (x - 5)(x + 2) (x - 1) - 30
Answers
Answer:
[tex]\begin{aligned}\textsf{1.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow + \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{2.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow - \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{3.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow - \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]
Step-by-step explanation:
Root Multiplicity
Odd multiplicity → the graph will cross the x-axis at the root.
Even multiplicity → the graph will touch the x-axis at the root (but will not cross the x-axis).
Question 1Given function:
[tex]p(x)= \dfrac{2}{3}(3x - 6)(x + 2)(x - 3)^2[/tex]
Therefore:
Degree: 4 (even)Leading coefficient: positiveEnd behaviors:
[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow + \infty[/tex]
[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]
The x-intercepts of a function are when f(x)=0.
Therefore, the x-intercepts are:
x = -2 with multiplicity 1x = 2 with multiplicity 1x = 3 with multiplicity 2Therefore, the graph of the given function has 3 turning points.
Begins in quadrant IICrosses the x-axis at x = -2Crosses the x-axis at x = 2Touches the x-axis at x = 3Ends in quadrant IQuestion 2Given function:
[tex]p(x)=(x - 3)^2 (x + 2) (2x + 7)^2[/tex]
Therefore:
Degree: 5 (odd)Leading coefficient: positiveEnd behaviors:
[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow -\infty[/tex]
[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]
The x-intercepts of a function are when f(x)=0. Therefore, the x-intercepts are:
x = -3.5 with multiplicity 2x = -1 with multiplicity 1x = 3 with multiplicity 2Therefore, the graph of the given function has 4 turning points.
Begins in quadrant IIITouches the x-axis at x = -3.5Crosses the x-axis at x = -2Touches the x-axis at x = 3Ends in quadrant IQuestion 3Given function:
[tex]p(x)=(x - 5)(x + 2)(x - 1)-30[/tex]
Therefore:
Degree: 3 (odd)Leading coefficient: positiveEnd behaviors:
[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow -\infty[/tex]
[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]
The graph has 2 turning points.
Begins in quadrant IIITurning points at x ≈ -0.7 and x ≈ 3.4Crosses the x-axis at x ≈ 5.8Ends in quadrant ISuppose U1, U2, ..., Un are independent random variables and for every i = 1, ..., n, Ui has a uniform distribution over [0, 1].
(a) Find the probability density function of M = max(U1, ..., Un). (We solved the case n = 2 in class. This a generalization.)
(b) Define Z = min(U1, ..., Un). Find the c.d.f. and the p.d.f of Z. (Hint: write the event {Z > z} in terms of random variables U1, ..., Un.)
Answers
The probability density function will be expressed as f_M(x) = n * x^(n-1) and cumulative density function is f_Z(z) = n * (1-z)^(n-1).
To find the probability density function of M, we need to find the probability that M takes on a particular value x, which is equal to the probability that all of the random variables U1, ..., Un are less than or equal to x. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is less than or equal to x. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is less than or equal to x is simply x. Therefore, the probability that M takes on a particular value x is equal to x^n.
This means that the probability density function of M is given by:
f_M(x) = n * x^(n-1)
for x in the range [0, 1].
For the second part of the question, we want to find the cumulative distribution function (c.d.f.) and probability density function (p.d.f.) of Z = min(U1, ..., Un). We can find the c.d.f. of Z by finding the probability that Z is less than or equal to a particular value z. This is equal to the probability that all of the random variables U1, ..., Un are greater than or equal to z. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is greater than or equal to z. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is greater than or equal to z is simply 1-z. Therefore, the probability that Z is less than or equal to z is equal to (1-z)^n.
This means that the cumulative distribution function of Z is given by:
F_Z(z) = (1-z)^n
for z in the range [0, 1].
To find the probability density function of Z, we can differentiate the cumulative distribution function with respect to z. This gives us:
f_Z(z) = n * (1-z)^(n-1)
for z in the range [0, 1].
Learn more about probability density at:
brainly.com/question/28021875
#SPJ4
Julia's frogs are 2/5 of the amount of Rimma's frogs. If Rimma gives 1 /2 of her frogs to Julia, what will be the ratio of Julia's frogs to Rimma's frogs?
Answers
The Ratio of Julia’s frogs to Rimma’s frogs will be 9:5
What is ratio?A ratio in mathematics demonstrates how many times one number is present in another.
For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
Ratio = [tex]\frac{1^{st} element}{2^{nd} d element}[/tex]
Let Rimma’s frog = x
So, Julia's frog = [tex]\frac{2x}{5}[/tex]
Rimma gives [tex]\frac{1}{2}[/tex] of her frog to Julia
Therefore, rimma left with [tex]\frac{x}{2}[/tex]
Ratio = [tex]\frac{Julia's frog}{Rimma's frog}[/tex]
[tex]=\frac{\frac{2x}{5} +\frac{x}{2} }{\frac{x}{2} } \\=\frac{\frac{9x}{10} }{\frac{x}{2} }\\=\frac{9}{5}[/tex]
Therefore, ratio will be 9:5
For more information about ratio visit the given link:
https://brainly.com/question/12024093
#SPJ1
Solve the system of two linear equations by the method of elimination (also called addition method). For a dependent system, give the answer in the form of an ordered pair in terms of x. (If there is no solution, enter NO SOLUTION.) x - y = -15 -3x + 3y = 45 (x, y) =?
Answers
x - y = -15 -3x + 3y = 45 (x, y) = the system of two linear equations using the method of elimination ( 5, 45).
x - y = -15
-3x + 3y = 45
written as
3x - 3y = -15
+3x + 3y = 45
6x = 30
x = 5
Substitute x = 5 into either of the linear equations to find y.
x - y = -15
5 - y = -15
y = 45
Therefore, the solution is (5, 45).
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ4
prove that if a decimal number is divisible by 3 if and only if the sum of its digits is divisible by three
Answers
if a decimal number is divisible by 3 if and only if the sum of its digits is divisible by three is evident and proved below.
Let n be a decimal number.
Assume n is divisible by 3.
lets consider n in terms of its digits as
n = d_1 * 10^(m-1) + d_2 * 10^(m-2) + ... + d_m * 10^0
where m is the number of digits in n and d_1, d_2, ..., d_m are its digits.
Substituting n = 3k into the above equation, we get
3k = d_1 * 10^(m-1) + d_2 * 10^(m-2) + ... + d_m * 10^0
Subtracting 3k from both sides of the equation, we get
0 = d_1 * 10^(m-1) + d_2 * 10^(m-2) + ... + d_m * 10^0 - 3k
Adding 3k to both sides of the equation, we get
3k = d_1 * 10^(m-1) + d
Learn more about divisible by 3 here
https://brainly.com/question/2273245
#SPJ4
what is 1.35 as a fraction; what is 175 as a decimal; 13 as a decimal; 0.13 as a decimal; 1.35 as a decimal; 15.5% as a decimal; 1 3/5 as a decimal; 1.35 as a fraction in simplest form
Answers
1.35 as a fraction in simplest form is written as 27/20.
A fraction, which is expressed in the form p/q, where p and q are both integers, denotes a portion of a whole.
To convert 1.35 to a fraction, do the following:
Write the decimal number split by 1 first as follows:
1.35/1
Since the numerator has two digits after the decimal point, we must multiply the numerator and denominator by 102 to get 100, removing the decimal point.
1.35 × 100/ 1 × 100 = 135/100
Because 135 and 100 have 5 in common, we may simplify the fraction to show the same amount: 135 5/100 5 = 27/20.
We can also phrase 1.35 as an improper fraction since the numerator exceeds the denominator.
Therefore, 1.35 as a fraction in simplest form is written as 27/20.
To learn more about improper fraction click here:
brainly.com/question/21449807
#SPJ4
3.79 divided by 4 answer
Answers
Answer:
0.9475
Hope this Helps!
Determine which integer in the solution set will make the equation true.
3p + 13 = 22
S: {−1, 1, 3, 4}
−1
1
3
4
Answers
The integer in the solution set that will make the equation true is (c) 3
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
3p + 13 = 22
Subtract 13 from both sides of the expression
So, we have the following representation
3p = 9
Divide both sides of the equation by 3
p = 3
Hence, the solution is p = 3
Read more about equation at
https://brainly.com/question/2972832
#SPJ1
How far away is the ball from Amaya when it is at its maximum height?
Answers
The distance of the ball away from Amaya at Maximum height is; 18 feet
What is the maximum height of the projectile?Given the projectile equation as;
y = -0.02(x - 18)² + 12 to model the horizontal distance of a ball from Amaya's position.
We want to find out how far away is the ball from Amaya when it is at its maximum height.
The model takes the form of a parabolic equation and as such, the maximum height is obtained at the Vertex :
The general vertex form of the equation of a parabola is;
y = a(x - h)² + k
With maximum height obtained at the Vertex (h, k)
From the model given, we can say that;
Coordinate at the Vertex : (h, k) = (18, 12)
Read more about Projectile maximum height at; https://brainly.com/question/12446886
#SPJ1
Complete question is;
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y = -0.02(x - 18)² + 12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height?
question a newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. the editor hires a polling firm to conduct a survey and requests that a sample of 500 residents be selected using a stratified sampling design based on voting districts within the city. which of the following methods will achieve the desired sampling design?
Answers
Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.
The correct option is (B).
Now, According to the question:
Stratified sampling design divides the given population into small sub-groups called strata. The members of each strata share some common features and at any particular time, a sample is randomly selected from each stratum which is then compared to the entire population. During random sampling, a number proportional to the stratum size is selected from all strata. The randomly selected samples from each strata are then combined to form a common random sample.
Considering that the editor wants to adopt stratified sampling, option B fits (Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.)
Learn more about Proportion at:
https://brainly.com/question/14936272
#SPJ4
The complete question is this:
A newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. The editor hires a polling firm to conduct a survey and requests that a sample of 500 residents be selected using a stratified sampling design based on voting districts within the city. Which of the following methods will achieve the desired sampling design?
(A) Send a survey to all city residents and use the first 500 returned surveys for the sample.
(B) Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.
(C) Select one voting district at random, and then select a random sample of 500 from the selected voting district.
(D) Alphabetize a list of all city residents, and then select the first 500 residents on the list, classifying those selected by voting district.
(E) Select the first 500 city residents who attend the next high school football game.
Enter the letter only!
Answers
(3,1),(4,-2),(-5,4),(4,-1),(-1,-2) match with the given coordinates of the graph thus option (B) will be correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.
As per the given coordinates,
The coordinate is the representation of horizontal and vertical distinctions.
The (3,1) is the point that is 3 grid right or horizontal and 1 unit up or vertical from the origin.
Hence "(3,1),(4,-2),(-5,4),(4,-1),(-1,-2) match with the given coordinates of the graph".
For more about coordinates,
brainly.com/question/7869125
#SPJ1
A teacher prepares 12 assignments for her 2 students.
How many different ways can the assignments be assigned if and only if one assignment assigned to each student?
Answers
The ways the assignments can be assigned to the students with the condition is 66 ways
How to determine the ways the assignments can be assigned to the students?From the question, we have the following parameters that can be used in our computation:
Total number of questions, n = 12
Total numbers of students, r = 2
The number of ways the assignments can be assigned to the students is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 12 and r = 2
Substitute the known values in the above equation
Total = ¹²C₂
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 12!/10! * 2!
Evaluate
Total = 66
Hence, the number of ways is 66
Read more about combination at
brainly.com/question/11732255
#SPJ1
what is the volume of a cylinder if the diameter equals 3 feet and the length equals 12 feet?; volume of sphere; volume of cylinder; volume of cone; surface area of a cylinder; volume formula; volume of a cylinder calculator; volume of hollow cylinder
Answers
The volume of cylinder is 84.82 cubic feet
In this question, we have been given for a cylinder the diameter equals 3 feet and the length equals 12 feet.
We need to find the volume of a cylinder.
From given data,
diameter d = 3 feet
So, radius r = d/2
r = 1.5 ft
length of cylinder (h) = 12 ft
The formula for the volume of a cylinder is,
V = π * r² * h
V = π * 1.5² * 12
V = π * 2.25 * 12
V = 84.82 cubic feet
Therefore, the volume of cylinder with the diameter equals 3 feet and the length equals 12 feet is 84.82 cubic feet
Learn more about the volume of a cylinder here:
https://brainly.com/question/16134180
#SPJ4
Find two numbers m and n such that m+n =5 and mn=4
Answers
m+n = 5
4+1 = 5
mn = 4
(4)(1) = 4
m+n, or in this case:
4+1
is equal to 5
mn or
4•1=4
So, the 2 numbers could be 4 and 1
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?w(w – 2) = 48w(w + 2) = 482w(w – 2) = 482w(w + 2) = 48
Answers
The equation to solve the width of rectangle created by John from 48 square centimetre tiles is w(w+2) = 48
and the greatest width in centimetres use for mosaic is 6 cm.
We have given that
John wants to create a mosaic of rectangular shape.
total area of tile(A) = 48 square centimetre
let l and w be length and width of rectangle
length of rectangle is 2 cm longer than width then length of rectangle (l) =( w+2) cm
Area oa rectangle (A) = l × w
=> (w+2) × w = 48
=> w²+ 2w = 48
which is quadratic equation , solve it
w² + 2w - 48 = 0
=> w² - 6w + 8w - 48 = 0
=> (w-6) (w+8) = 0
=> w = 6, -8
Hence, the required equation is w(w+2) = 48 and width of rectangle is 6cm.
To learn more about Area of rectangle, refer:
https://brainly.com/question/2607596
#SPJ4
Please answer the question about nets
Answers
Answer:
Side h and side
How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?
Answers
a) The line belongs to the plane.
b) The line does not belong to the plane.
How to verify if a line belongs or not to a plane?The equation of a line has the format given as follows:
[tex]\frac{x - x_1}{a} = \frac{y - y_1}{b} = \frac{z - z_1}{c}[/tex]
The equation of a plane has the format given as follows:
Ax + By + Cz + D = 0.
The line will belong to the plane if these two conditions are satisfied:
[tex]Ax_1 + By_1 + Cz_1 + D = 0[/tex]aA + bB + cC = 0.In standard format, the line for item a is given as follows:
[tex]\frac{x - 1}{4} = \frac{y + 2}{9.5} = \frac{z - 3}{1}[/tex]
Then the conditions are tested as follows:
3(1) - 2(-2) + 7(3) - 28 = 0.4 x 3 - 2 x 9.5 + 1 x 7 = 0.The two conditions are satisfied, hence the line belongs to the plane.
For item b, we have that:
(-2)(-6) + 1(8) - 5(-3) + 1 = 36.
First condition already not satisfied, hence the second does not need to be tested, meaning that the line does not belong to the plane.
More can be learned about lines and planes at https://brainly.com/question/1655368
#SPJ1
You have been given the task of organizing a poll regarding an upcoming election. The object is to estimate the proportion of the country that will vote to keep the current government in power. You have been told to collect a sample and find a 95% confidence interval for the proportion. This interval is allowed to have a margin of error of 3%. A preliminary investigation suggests that the proportion of people that will vote to keep the current government is 0.74. a) Calculate the minimum sample size that is required in this survey. Give your answer as a whole number. Someone working on your team reports that the information suggesting that the proportion of people that will vote to keep the current government is equal to 0.74 is out of date. In fact, some recent events in politics mean that there is no safe guess at what the proportion might be. b) Based on this new information, calculate the minimum sample size that is required in this survey. Give your answer as a whole number.
Answers
The confidence interval for the task of organizing the poll for the upcoming elections be,
(222.117 , 257.883)
Given, You have been given the task of organizing a poll regarding an upcoming election.
The object is to estimate the proportion of the country that will vote to keep the current government in power.
You have been told to collect a sample and find a 95% confidence interval for the proportion.
This interval is allowed to have a margin of error of 3%. A preliminary investigation suggests that the proportion of people that will vote to keep the current government is 0.74.
We have to find the confidence interval,
Subtract 1 from your sample size. 10 – 1 = 9.
Subtract the confidence level from 1, then divide by two.
(1 – .95) / 2 = .025
For 9 degrees of freedom df and α = 0.025, margin of error is 2.262.
Divide your sample standard deviation by the square root of your sample size.
25 / √(10) = 7.90569415
Now, Multiply 2.262 × 7.90569415 = 17.8826802
For the lower end of the range
240 – 17.8826802 = 222.117
For the upper end of the range
240 + 17.8826802 = 257.883
Hence, the confidence interval be (222.117 , 257.883)
Learn more about Confidence Interval here https://brainly.com/question/26658887
#SPJ4
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 171 in. Find the dimensions of the cylindrical package of greatest volume that may be sent via priority mail. (Hint: The length plus the girth is 2r + l.)
r =
l =
volume =
Answers
If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.
Given that,
The combined length and girth of a priority mail package cannot exceed 171 inches, according to postal standards.
We have to find calculate the size of the largest volume, cylindrical container that can be sent via priority mail.
We know that,
Let
Length= Breadth =x
Height=y
Volume can be written as
V=x²y
Now,
Combined length and girth is
7x+y=171
y=171-7x
V(x)=x²(171-7x)
V(x)=171x²-7x³
Differentiating with respect to x.
V'(x)=343x-21x²
The maximum value
V'(x)=0
343x-21x²=0
7x(49-3x)=0
x=0
and
49-3x=0
3x=49
x=49/3
Once again differentiating with respect to x.
V''(x)=343-42x
V''(x)=343-42(0)=343>0(min)
V''(x)=343-42(49/3)=-343<0(max)
The maximum volume is
Vmax=V(49/3)=(49/3)(171-7(49/3))
Vmax=925
Therefore, If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.
To learn more about inches visit: https://brainly.com/question/16311877
#SPJ1
help meeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 191.3
Step-by-step explanation:
In 2005: x=2005-1998=7
y=123.1(1.065)^7
= 191.3
Which of the following is not a regular polygon? A) equilateral triangle
B) square
C) rectangle
D) None of these
Answers
Answer: D.) None of these
Step-by-step explanation: A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").
