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may 2020
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Mathematics Questions and Answers May 28, 2020

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Evaluate the integral using the following values. 5 5 x3 dx = 136, x dx = 8, dx = 2 J3 5 5x dx 3 210

The Vice-Chancellor of a university is concerned that illicit drug use on campus is higher than the 5% acceptable level. A random sample of 140 students revealed that 5 of them had used illicit drug during the last 12 months. Construct a 90% confidence interval to estimate the true proportion of students who use illicit drug. Should the

Eduardo is taking a multiple choice math test. Each question has seven presented answers, but only one is correct. If Eduardo guesses randomly for each of the seventeen questions the test has, determine the probability that Eduardo gets at most one question wrong, given that they got at least one question correct.

.................... (1 point) d 16x Find the solution to the differential equation _y = y dx (1n y)3 which passes through the point (0,e). Express your answer as 1ny=

The concentration of medication injected into the bloodstream drops at a rate proportional to the amount present. If the factor of proportionality is 40% , in how many hours will the concentration be one-fifth of the original concentration? Answer choices: 5.756 0.923 4.024 4.135

Send answer Here is a bivariate data set. X y 19 34 23 18 20 31 30 31 15 24 10 17 27 27 21 25 24 26 19 21 Find the correlation coefficient and report it accurate to four decimal places. r =

Use Lagrange multiplier to find the absolute minimum of f ( x , y ) = x 1 2 + y^ 2 subject to the constraint 2x + y = 10. (You do not have to prove that it is the minimum.) iX es 0 5 0 6 O 10 O 20 O None of the above

Use Lagrange multiplier to find the absolute minimum of f ( x , y ) = x 1 2 + y^ 2 subject to the constraint 2x + y = 10. (You do not have to prove that it is the minimum.) iX es 0 5 0 6 O 10 O 20 O None of the above

Help please 2. (16 points) Evaluate Jo Vy3 + 1 dydx by reversing the order of integration

Send answer Here is a bivariate data set. X y 19 34 23 18 20 31 30 31 15 24 10 17 27 27 21 25 24 26 19 21 Find the correlation coefficient and report it accurate to four decimal places. r =

Send answer Here is a bivariate data set. X y 19 34 23 18 20 31 30 31 15 24 10 17 27 27 21 25 24 26 19 21 Find the correlation coefficient and report it accurate to four decimal places. r =

Send answer Here is a bivariate data set. X y 19 34 23 18 20 31 30 31 15 24 10 17 27 27 21 25 24 26 19 21 Find the correlation coefficient and report it accurate to four decimal places. r =

A covered box is to be made from a rectangular sheet of cardboard measuring 10 inches by 16 inches. This is done by cutting out the shaded regions of the figure and then folding on the dotted lines. What are the dimensions x, y, and z that maximize the volume? inches VE inches inches

What is the standard error of the sample proportion if 50% of all of your customers come from Nepal and you have a sample of 540 customers ? a.None of the other choices is correct b.0.95 c.0.2324 d.0.0215

What is the standard error of the sample proportion if 50% of all of your customers come from Nepal and you have a sample of 540 customers ? a.None of the other choices is correct b.0.95 c.0.2324 d.0.0215

What is the standard error of the sample proportion if 50% of all of your customers come from Nepal and you have a sample of 540 customers ? a.None of the other choices is correct b.0.95 c.0.2324 d.0.0215

Given h(x)=2x 2 -5x-6 calculate h'(x) using the definition of the derivative

Use Lagrange multiplier to find the absolute minimum of f ( x , y ) = x 1 2 + y^ 2 subject to the constraint 2x + y = 10. (You do not have to prove that it is the minimum.) iX es 0 5 0 6 O 10 O 20 O None of the above

Need the answer 50 women are competing for Miss America. How many different ways can they come in first, second, and third place? Your

Question 8 of 25 What is the domain of the function f (x) = -7 log 2 (9x - 36) + 5 ? O XE (4, 00 ) ONE (-0, 4) O XE (- 0, -4) O XE (-4, 00 )

For what range of x-values is the third degree Maclaurin polynomial approximate sin x to within 0.01

Need the answer 50 women are competing for Miss America. How many different ways can they come in first, second, and third place? Your

[-/1 Points] DETAILS TANAPCALC10 6.4.005.MI. MY NOTES PRACTICE ANOT Find the area (in square units) of the region under the graph of the function f on the interval [-1, 5]. f(x) = 2x + 6 square units Need Help? Read It Master It

Question

The Venn diagram shows sets A, B, C, and the universal set U. Shade (A U B)'n C' on the Venn diagram. U. X 5

Determine whether the following statements are true and give an explanation or counterexample. (a) If a function is left-continuous and right-continuous at a, then it is continuous at a. (b) If a function is continuous at a, then it is left-continuous and right-continuous at a. (c) If a < b and f(a) L f(b), then there is some value of c in (a, b)

Use Simpson's Rule with n=10 to estimate the arc length of the curve. Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produced by your calculator. (Round your answer to six decimal places.) x:y+'/;+8, 15y$2 :l

Use Simpson's Rule with n=10 to estimate the arc length of the curve. Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produced by your calculator. (Round your answer to six decimal places.) x:y+'/;+8, 15y$2 :l

Simplify. Your answer will be a single term. sin x cos(yx)+cos x sin(yx)=

Question 8 of 25 What is the domain of the function f (x) = -7 log 2 (9x - 36) + 5 ? O XE (4, 00 ) ONE (-0, 4) O XE (- 0, -4) O XE (-4, 00 )

A sample of 170 randomly selected students, found that the proportion of students planning to travel home for Thanksgiving is 0.65. What is the standard deviation of the sampling distribution? Round to 3 decimal digits.

How can I explain how do you use probability values to determine whether events are significantly low or significantly high

Question

How can I explain how do you use probability values to determine whether events are significantly low or significantly high

[-/1 Points] DETAILS TANAPCALC10 6.4.005.MI. MY NOTES PRACTICE ANOT Find the area (in square units) of the region under the graph of the function f on the interval [-1, 5]. f(x) = 2x + 6 square units Need Help? Read It Master It

Need the answer 50 women are competing for Miss America. How many different ways can they come in first, second, and third place? Your

3. Numeracy: Suppose we define a function on the natural numbers, where f(0) = 1 and f(n) = nf(n 1) for n 1. (a) Compute f(1), f(2), f(3), . . . , f(10) (using a calculator as necessary). (b) Find a closed form expression for f(n); that is, a way of computing f(n) without having to compute f(n 1). Use this to compute f(100). (c) If n and k are

Simplify. Your answer will be a single term. sin x cos(yx)+cos x sin(yx)=

How can I explain how do you use probability values to determine whether events are significantly low or significantly high

consider as straight r1: (x, y, z) = (1,1,1) + t (1,2,3), tR r2: (x, y, z) = (1.1, 2) + s (1.2, 3), sR a) Determine a relative position between r1 and r2; b) Determine an equation for a line r such that: r is concurrent with r1 r is concurrent with r2. rr1 and rr2

Determine whether the following statements are true and give an explanation or counterexample. (a) If a function is left-continuous and right-continuous at a, then it is continuous at a. (b) If a function is continuous at a, then it is left-continuous and right-continuous at a. (c) If a < b and f(a) L f(b), then there is some value of c in (a, b)

How do the purposes of a Z-test, independent-measures t-test, and a repeated-measures t-test differ from one another? How do these differences influence the hypotheses appropriate for each type of test? Support your statements with relevant examples include in-text citations, and reference.

How do the purposes of a Z-test, independent-measures t-test, and a repeated-measures t-test differ from one another? How do these differences influence the hypotheses appropriate for each type of test? Support your statements with relevant examples include in-text citations, and reference.

I am having a hard time answering this question... The area of a healing wound is given by A = 775. The radius is decreasing at the rate of 3 millimeter per day at the moment when r = 40. How fast is the area decreasing at that moment? Select an answer > Next

Simplify. Your answer will be a single term. sin x cos(yx)+cos x sin(yx)=

3. Numeracy: Suppose we define a function on the natural numbers, where f(0) = 1 and f(n) = nf(n 1) for n 1. (a) Compute f(1), f(2), f(3), . . . , f(10) (using a calculator as necessary). (b) Find a closed form expression for f(n); that is, a way of computing f(n) without having to compute f(n 1). Use this to compute f(100). (c) If n and k are

A sample of 170 randomly selected students, found that the proportion of students planning to travel home for Thanksgiving is 0.65. What is the standard deviation of the sampling distribution? Round to 3 decimal digits.

A researcher want to determine an interval estimate for the average weight of adult gorillas in pounds. She wants to be 99% certain that she is within 4.8 pounds of the true average. From past studies, it is known that the standard deviation of the weights of adult gorillas is 13 pounds. What is the critical value that corresponds to the given

A sample of 170 randomly selected students, found that the proportion of students planning to travel home for Thanksgiving is 0.65. What is the standard deviation of the sampling distribution? Round to 3 decimal digits.

A researcher want to determine an interval estimate for the average weight of adult gorillas in pounds. She wants to be 99% certain that she is within 4.8 pounds of the true average. From past studies, it is known that the standard deviation of the weights of adult gorillas is 13 pounds. What is the critical value that corresponds to the given

How do the purposes of a Z-test, independent-measures t-test, and a repeated-measures t-test differ from one another? How do these differences influence the hypotheses appropriate for each type of test? Support your statements with relevant examples include in-text citations, and reference.

5. For the differential equation (1 - x2) dy 7x _ 9y = 0 dx2 dx explain why a power series solution of the form y = _n anx" is obtainable, and hence determine such a solution. (15 Marks)

7 (10 points) A pilot study conducted a few months earlier indicated that the standard deviation of monthly salary for new college graduates was 1,325 yuan. The research group wants the study's findings to be within 200 yuan of the true mean with a confidence level of 95%. What sample size is required?

Two ships leave a harbor at the same time. One ship travels on a bearing $10"W at 17 miles per hour. The other ship travels on a bearing N75'E at 8 miles per hour. How far apart will the ships be after 3 hours? The distance is approximately miles. (Round to the nearest tenth as needed.)

X= 78, = 10, and n=66, construct a 99% confidence interval estimate of the population mean, .

Two ships leave a harbor at the same time. One ship travels on a bearing $10"W at 17 miles per hour. The other ship travels on a bearing N75'E at 8 miles per hour. How far apart will the ships be after 3 hours? The distance is approximately miles. (Round to the nearest tenth as needed.)

Could you assist me with this question, please? 5. Set up an iterated integral using polar coordinates to calculate the area of the region in the polar plane that is inside both the circle r = 3 cos(0) and the cardioid r = 1 + cos(0). (No need to compute the value.)

Suppose you are working with a data set that is normally distributed, with a mean of100and a standard deviation of52. Determine the value of x from the following information. x is less than18% of the values. (Round your answer and z values to 2 decimal places, e.g. 150.75) 24% of the values are less thanx. (Round your answer and z values to 2

please send solution The following is the graph of a rational function r(x) = (x - a) (x- 1) Determine the values of the constant bx 2 + ex + d a, b, c, and d. Be sure to justify your answers in your written work. -3- 16 -5 -3 5 2 -3 Page 4

7 (10 points) A pilot study conducted a few months earlier indicated that the standard deviation of monthly salary for new college graduates was 1,325 yuan. The research group wants the study's findings to be within 200 yuan of the true mean with a confidence level of 95%. What sample size is required?

Please solve a,b and c 2. (9 points) Calculate the following derivatives. For this problem only, do not simplify your results. (a) = d (x3(In(x - 1))?) sec(I) (b) d 12 - 3r + 4 (c) (0as -'(VI+1) )

25. What is the length of the Major Axis of the given equation of Ellipse? Given: 4x2 +9y2 - 48x +72y +144 = 0 Select one: O a. 16 O b. 12 O c. 8 O d. 4

Please answer the question in the screenshot and show all your work. Thank you! 20. Use the indicated u-substitution to evaluate the integral. N sin 3xdx , u = 3x 1 - cos sin - dt, u = 1 - cos N

Let X be a Gaussian random variable with mean = 5 and variance 2 = 16. Use the function table to answer the following: (a) Find Pr(X > 4) and Pr(6 < X < 8) (b) Pr(X < a) = 0:887. Estimate a. (c) Pr(X > b) = 0:111. Estimate b. (d) Pr(13 < X c) = 0:0123. Estimate c.

Find the average function value over the given interval. y = 3+ x2; [-2,2]

+X 2 Calculate the first three iterates of Newton's Method and initial guess xo = -1.45 to find the real root of x3 + 2x + 5 = 0. (Use decimal notation. Give your answers to six decimal places.) -1.328260 Enter numeric value X2 ~ X3 ~

Let {N(t), t 2 0} be a PP(2). Show that Cov(N(s), N(s + t)) = As, s,t> 0

Set up an integral to find the volume of the solid formed by revolving the region in the first quadrant bounded by the graphs of y = x 4 and y = 9 about the y-axis.

im trying to solve a pre calc problem 4^x + 2^(x+2) = 21. I know the answer but im not sure how im supposed to replcate the steps to solve it.

This is on Power Series. n=on(n - 1)an(x - x)n-2. ed to yo plic A general solution with indices that start at zero, i.e. y'= >n=onan (x - x.)"-1 and y" = Solve for the power series solution about x = 8. Show detailed solution. Use derivatives of the + (x - 8) y = 0 ou to cotecti to copy ement

This is in Calculus. Answer what is required. Provide clean and clear handwritten complete solutions. Minimize erasures and provide a clear picture of the solutions thank you and Godbless. G. Use the formula for the Taylor coefficients to find the Taylor series of f(x) = (1+ 2x)e* about x = 0. (6 points)

8- You complain to the sugar manufacturer, and they decide to adjust their machine that pours the sugar, so that only 0.6% of customers will get less than 1,000 grams of sugar. Their first adjustment is to increase the mean weight. What mean weight would lead to only 0.6% of customers cheated? Round your answer to the tenth decimal place (e.g.

This is in Calculus. Answer what is required. Provide clean and clear handwritten complete solutions. Minimize erasures and provide a clear picture of the solutions thank you and Godbless. G. Use the formula for the Taylor coefficients to find the Taylor series of f(x) = (1+ 2x)e* about x = 0. (6 points)

Question 12 Solve the problem. Find the image of triangle ABC for the dilation with center P and scale factor 1/4

1. Write a function named riffle (x, y) that interleaves two vectors x and y, starting with x, without repeating. A possible test case is as follows. >a b riffle(a, b) [1] 1 50 2 51 3 52 4 53 5 54 6 55 7 8 9 10

A random sample of 145 clients from a firm with 1450 clients, 132 indicated very high satisfaction with the firm'sservice. Estimate the upper end point in a 98% confidence interval for the proportion of all clients who are veryhighly satisfied with this firm.

1. Write a function named riffle (x, y) that interleaves two vectors x and y, starting with x, without repeating. A possible test case is as follows. >a b riffle(a, b) [1] 1 50 2 51 3 52 4 53 5 54 6 55 7 8 9 10

Part 2. Find the derivative with respect to x: 1) f (x) = vx 2) a(x) = 2x2 + 5x + 3

Part 2. Find the derivative with respect to x: 1) f (x) = vx 2) a(x) = 2x2 + 5x + 3

What is the value of f(x) when x = 4 in the 4x when x 4

EIBFS Evaluate the partial derivatives S, ( x y) and fog ( x, ") at the given point ( 1,-1) f ( x, y) = xby - 2( xty ) +2xy fy (x, y) = .0 IN Sx ( x, y)

Find the differential dy of the given function. (Use "dx" for dx .) 1. y = 6 x 2 1 2. y = y = e 0.9 x cos 7 x 3. y = arctan( x 4)

1. Write a function named riffle (x, y) that interleaves two vectors x and y, starting with x, without repeating. A possible test case is as follows. >a b riffle(a, b) [1] 1 50 2 51 3 52 4 53 5 54 6 55 7 8 9 10

Question: #1 Round to one decimal place where necessary. Suppose B= 19.0 degrees, C= 81.3 degrees, and c= 148.2, Solve the triangle: Answer: A=_________________degrees ? a= _? b=____________________? Note: Please write very big and clearly so I can understand to read it. Thank you

5. (7 points) Determine the equation of the hyperbola, in standard form, described as follows. . Foci located at (3, -5) and (3, 5), . Vertices located at (3, -4) and (3, 4)

1. Given the table, determine the slope intercept equation.

Consider a joint PDF for random variables X and Y given by fxx (x, y) = cay, 0

zzes/2243773/take/questions/ 47/10472 Compute the Pearson correlation coefficient between variables X and Y using the data below: X Y 4 4 12 5 8 9 6 4

Use the given information to find the number of degrees of freedom, the critical values of XL2 in XR2z, and the confidence intervals estimate of a . It is reasonable to assume that a simple random sample has been selected from a population of the normal distribution. Nicotine in menthol cigarettes 95% confidence in N=27 s=26 mg

Direction: Answer the exercise and I provide some example or guide on how you do it. Imaginary Roots of Auxiliary Equations ye = Ci cos 2x + Czsin 2x So we have distinct real root (3), repeated real roots (-2, -2), imaginary roots () where a=0 and Consider the differential equation (boD= + biD" it..- +b. ID + b.) y=0 Example 2: Solve the equation

The following is the graph of a rational function r(I) =- a(I - b)(I - 1) -. Determine the values of the constant a, b, c, and d. Be sure to justify your answers in your written work. Drag and drop from the list below. a = b= 5 7 1 7 3 -2 - 1 8 4 3 5 6 2

The following is the graph of a rational function r(I) =- a(I - b)(I - 1) -. Determine the values of the constant a, b, c, and d. Be sure to justify your answers in your written work. Drag and drop from the list below. a = b= 5 7 1 7 3 -2 - 1 8 4 3 5 6 2

Let {N(t), t 2 0} be a PP(2). Show that Cov(N(s), N(s + t)) = As, s,t> 0

b. (4 Points) Plot the regression residuals. What do you notice? (1 Point) Copy and paste the normal probability plot. (1 Point) Copy and paste the histogram of the residuals. iii. (1 Point) Copy and paste the plot of the residuals versus the fitted values

Consider a joint PDF for random variables X and Y given by fxx (x, y) = cay, 0

Write D=[1,1]> R is a continuous function with f (32, y) = f (13, y), then it must be the case that f/Df(:r:,y)dA=0. TRUE. This follows from the symmetry of the domain D with respect to the y-amis

Population Mean is 211.73 Population SD is 2.36 Question: Imagine that 5 individuals are sampled at random from this fish population. calculate the probability that he average calculated will be less than the value: (210.94)

Population Mean is 211.73 Population SD is 2.36 Question: Imagine that 5 individuals are sampled at random from this fish population. calculate the probability that he average calculated will be less than the value: (210.94)

Population Mean is 211.73 Population SD is 2.36 Question: Imagine that 5 individuals are sampled at random from this fish population. calculate the probability that he average calculated will be less than the value: (210.94)

zzes/2243773/take/questions/ 47/10472 Compute the Pearson correlation coefficient between variables X and Y using the data below: X Y 4 4 12 5 8 9 6 4

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