Mathematics Questions and Answers January 22, 2020

Question 11 Use DeMoivre's Theorem to find the indicated power of the following complex number in a + bi form. 16 -2 (cos # + isin Edit Format Table 12pt Paragraph ~ B J U A Zy Try |

Question 2 There is positive bias in 2 when X3 is omitted in estimating the equation Y = 1 + 32 X2 + B3X3 + u, where Cov(X2, X3) > 0 and B3

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4060 miles, with a standard deviation of 308 miles. If he is correct, what is the probability that the mean of a sample of 41 cars would differ from the population mean by less than 133 miles? Round your answer to four decimal places.

In general, removing unimportant variables from a regression equation should have what affect? It decreases adjusted R-squared, improving our model It increases adjusted R-squared, but the model is not improved It increases adjusted R-squared, improving our model It increases R-squared, improving our model

Explain thoroughly in an essay type. Use the graph to determine the absolute extrema of the function and where the extrema occur. Does this function have critical numbers? If so, how many on the closed interval [a,b] ? MCC@WCCUSD (HUSD), 2012. V f (x ) X a b

A baseball stadium sells hamburgers. The selling price is $9.75 per hamburger. The costs incurred in the production and sale of the hamburgersare $3,500 plus $4 for each hamburger produced and sold. How many hamburgers must the ballpark sell to break even?

STAT_6A_Practice Score: 3.8/14 4/7 answered Question 5 Have you ever wondered what factors make it easier for some cats to be more successful in catching prey? Scientists Michelle Harris and Karen Steudel studied the morphology of 17 domesticated cats. They defined a measure of a cat's ability to catch small animals to be the cat's "take-off

A Food Marketing Institute found that 34% of households spend more than $125 a week on groceries. Assume the population proportion is 0.34 and a simple random sample of 446 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.32?

VI. Suppose Y Gaussian. Find 1. Muhere X, N independent, pdf fi(y) 3. pdf fx(x) Var(Y ) 4. E(XY) and N standard (20)

Question 7 Select a value for b such that a triangle with A = 490 and a = 11 has no solution

Homework (Graded Assignment) Simplify.

States have drastically cut their budget for mental health care. Will this increase the number of homeless people? A researcher contacts a number of agencies serving the homeless in each state and develops an estimate of the size of the homeless population before and after the cuts. 1. what is the unit of measurement 2. What type of variables are

There are 1000 production wells in a field which 100 of the wells are working with ESP pumps. There is limited budget to repair the completions for the wells. If we randomly select 15 wells what is the probability if 2 ESP are selected for repairment?

Problem 12 What are the differences between inference, parameter learning, and structure learning? What are you looking for in each case and what is assumed to be known? When might you use each of them

Expected values of squares. (a) A fair die is rolled once. Let X be the random variable that denotes the square of the number that shows up on the die. For example, if the die comes up 5, then X = 25. What is E[X]? (b) A fair coin is tossed three times. Let Y be the random variable that denotes the square of the number of heads. For example, in

A test was made of Ho: = /2 versus H1: 2. The sample means were x =7 and x = 11, the sample standard deviations were s, - 6 and s, =4, and the sample sizes were n, = 10 and 7, = 18. Compute the value of the test statistic

3. Statistical analysis of the "Stress" variable produced the results below. Are these statistics considered descriptive or inferential? ' mean = 55.7 ' median = 55 ' mode = 55 ' standard deviation = 26.9

calculate the probability that the self-proclaimed psychic correctly identifies 20 or more cards out of the 30 tries.

Researchers examined the relationship between interpersonal violence and health in college age women. They include an independent variable of exposure to violence from an intimate partner, other personal violence or both. The researchers wish to present a table showing the frequencies for each of these exposures. What might you suggest to best

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 129lb and a standard deviation of 27.9lb. If a pilot is randomly selected, find the probability that his weight is between 120 lb and

1200 If the average cost per unit C(x) to produce x units of plywood is given by C(x) = , what is the unit cost for 10 units? X + 40 O A. $120.00 O B. $24.00 O C. $80.00 O D. $3.00

Find A,B,C,D,E,F and G such that the following is true for any a and b dm (FXB GxE)dx (xy2 4 x3eY) dydx

A gambler begins with $500, each game, he may win $100 with a probability 0.7 or lose $ 100 with probability 0.3. He will play until he either doubles his money or losses it all. Use simulation to determine how long he can expect to play the game, and estimate the probability that he doubles his money

5. Thinking Zaki heard that if you drop a piece of buttered bread, it lands with the buttered side down. Zaki decided to test this theory. a) Briefly describe an experiment Zaki could conduct. b) What are some issues Zaki should consider to ensure that his experimental results are valid? c) Is Zaki's experiment about a correlation between two

Jamie drives to work every weekday morning. She records the time it takes, in minutes, for twenty days. The first and third quartiles for the time it takes are below Q1 = 19, Q3 = 21 a) Find the Interquartile Range. b) Find the lower and upper outlier boundaries. c) Use the Interquartile Range Method for Detecting Outliers to determine if a time

Find A,B,C such that the following statement about Laplace transform is correct: 13 {lg3:9} : A o+BF All your answers should be integers

A boat has a crew of eight: Two of those eight can row only on the stroke side, while three can row only on the bow side. In how many ways can the two sides of the boat be manned

Question 14 Not yet The local veterinarian, Dr. B. Catwell, calls to ask you to com pound ciprofloxacin otic drops for Mrs. Brown's cat Fluffy. answered Use the following recipe: Marked out of Mitte: 10 mL 3,00 Ciprofloxacin 0.5 g Glycerin USP 24.5 mL Propylene Glycol 25 mL Paragraph B M

Which of the following situations would be reflective of a SIGNIFICANT result? T-stat < .05 P-value < alpha confidence interval > .99 alpha = 1 - confidence interval

Here is a graph of the function f. -5 - 3 -2 -1 1 2 3 4 5 -3- An M Use the graph to find the following. If there is more than one answer, separate them with commas. (a) All values at which f has a local maximum: 0.0.... (b) All local maximum values of f: X

Bunny Duck 46% 42% MOE: 4 4% Prev Step 3 of 3: What conclusion can we draw from the poll? Answer 4 Points in Tables Keyboard () It appears that Bugs Bunny is the front-runner in the race. It appears that Daffy Duck is the front-runner in the race. O They are statistically tied

How many unique passwords can be made from 2 letters (of the Canadian alphabet) and 3 digits (0 to 9) if repeats are possible?

A downward sloping regression means that as the x value increases, the y value decreases. Therefore, the increase in our independent variable will lead to a decrease in our dependent variable. This shows a negative relationship between the two variables. For instance, if the temperature in a room goes up, the liters of oil used to heat up the room

Make an ANOVA Table based on the picture below.

Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(x) X-3 . . . -10 8 64 8 10 What is the limit? Select the correct choice below and fill in any answer boxes in your choice. FX O A. The limit is the real number O B. The limit does not exist

Use roster or tabulation method to specify the set given below: 4. The days of the week= 5. The set of all letters in the word "expression"= 6. The last ten letters of the alphabet= 7. The set of all letters in word " statistics"= 8. The whole numbers= 9. The integers from-5 to 10= 10. {x+2 |x, -3

Question 6 For a inear programming problem with constraint 28"x + 20 *y

Question 6 For a inear programming problem with constraint 1081 if the optimal solutbn is x 7 and y 5 the slack value for the above constraint is

Sara tested a new exercise plan and compared the resting heart rates of a group of participants before each workout and again after. The statistical test to analyze the results is a One-sample t-test Related sample t-test Independent Samples t-test

Find the partial derivative of the function in detailed steps with explanation.

10

what does the two-way chi-square test measure? a. whether an intervention changes the dependent variable? b. whether two variables cause one another c. change over time d. whether one variable seems related to another one

Prepare an Income Statement and Balance Sheet from the following information:Sales $800,000, Cost of Goods Sold $300,00, Accounts Receivables $20,000, Bonds Outstanding $160,000, Accounts Payable $20,000, Advertising Expense $1,000, Administrative Expenses $35,000, Interest Expense $24,000, Depreciation Expense $40,000, Rent Expense $5,000,

the local Rotary Club says the average person pays $5 per day for parking when they come to the village to shop, but the village town council believes that number is too high. A sample of 35 Customers found an average of $4.50 with Standard deviation $0.50. Use = .05 to determine if the town Council is correct

Suppose that the functions u and w are defined as follows. u (x) =x +6 w (x) = Vx+1 Find the following. (w 0 1) (3) - 10 (1 . W) (3) - 1 X

When selecting a statistical test. When would a researcher select a non-parametric test? Multiple choice, select all 1- The dependent variable is ordinal 2- The independent variable is categorical 3- The data is not normally distributed 4- The sample size is small 5- The sample is homogeneous

A rock is dropped off the side of a bridge and hits the water below 8.7 s later. (a) What was the rock's velocity when it hit the water? speed direction ---Select--- (b) What was the rock's average velocity as it fell? speed direction ---Select--- (c) What is the height of the bridge above the water

Find a biased survey question online. Based on the concepts of this activity, describe the bias and a way to improve the question so that it is more effective.

We have all heard that the faster you drive the worse your fuel economy is. Just what is this relationship? A 2012 study measured the fuel economy (in miles per gallon) based on the speed of the car. The results are described below: Speed: 40 50 60 70 80 mpg: 33.2 31.9 27.9 24.1 20.5 These values give the following sums: x = 300 x 2 = 19000 y =

. Using Schedule 1 determine which of the following substances require a code of practice - Perchlorates - Ethyl acrylate - Mercury - Beryllium . Find the OELs for: Rock Wool Fibres, Xylene, PCBs, and Ozone. . Determine if Oak Dust causes cancer

Introduction- Maintaining useful employment of all sections of New Zealand society is seen as a healthy indicator of a flexible, productive and inclusive society. Understanding the drivers of unemployment is the first step in understanding solutions to improving Mori employment. The purpose of this Investigation is to determine if there is a

A samplemean, samplesize, and population standard deviation are provided below. Use theone-mean z-test to perform the required hypothesis test at the 1% significance level. x=36, n=32, =8, H0: =40, Ha: U < 40

NIX +6 3+ Y =-3 2 Sketch the function . State the mapping rule, the domain and the range

6 y3 23 Sketch the function State the mapping rule, the domain and the range.

Please provide a detailed and thorough explanation, evaluate the ff: thankyou

sin .xcosx tang sec C cscr

Compute standard deviation. 9) An unknown distribution has a mean of 160 and standard deviation of 29. Samples of the size 32 are randomly drawn from the population. Compute standard deviation of the sampling distribution. Round your answer to two decimal place

A spurious relationship can occur when: Group of answer choices when the researcher misspecified the model when equine relationships exist under conditions of extreme heat when there is an interaction effect

You have just given 2.5 tablet(s) with a dosage strength of 5 mg each. What was the total dosage administered? Enter your answer: mg SUBMIT

Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim F(x) X- -7 X ry Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim F(x) = (Type an integer or a simplified fraction.) X- - 7 O B. The limit does not exist

Your help would be appreciated on how to solve this and the exact formula to use A friend who works in a big city owns two cars, one small and one large. Three quarters of the time he drives the small car to work, and one quarter of the time he drives the large car. If he takes the small car, he usually has little trouble parking, and so is at

SOLVE CORRECTLY AND TYPED ANSWER PNLY. I LL VOTE. A study involving the number of hours students spend working on their math class homework each day found that the number of hours follows an exponential distribution with a mean of 1.3 hours. a. Find the probability that the mean study time of a random sample of 42 students is less than one hour.

What does the coefficient of variation measure? Select one: a. The size of variation Ob. The range of variation Oc. The scatter of in the data relative to the mean

Find the indicated probability. A sample of 4 different calculators is randomly selected from a group containing 13 that are defective and 39 that have no defects. What is the probability that at least one of the calculators is defective? O 0.696 O 0.304 O 0.684 0.130

Bras decides to purchase a $315,000 house. He wants to finance the entire balance. He has received an APR of 2.8% for a 15 year mortgage. Over the course of the loan, how much interest will brad pay? Round answer to nearest hundredth

Not yet answered Marked out of 2.00 \\ Flag question Assume P(A) = 0.6, P(B) = 0.7, and P(A and B) = 0.42, which means that events A and B are independent of each other. Select one: O True O False

A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard deviation of six hours. How many MRI machines must the company find data for in order to have a margin of error of at most 0.10 hour when calculating a 98% confidence interval?

4.9 19.21 4.99 19.9201 4.999 19.99200 4.9999 19.99920 4.99999 19.99992 5 12 5.00001 -41.00030 5.0001 -41.00300 5.001 -41.03000 5.01 -41.3003

Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these results with the approximation of the integral using a graphing utility. (Round your answers to four decimal places.) (V7+ x dx , 1= 4 Trapezoidal Simpson's graphing utility

Exercise Oz Find and for (b) .x'sin (2y-52)=1+ y cos(6zx

Exercise 1 and 2 for Find v (b) Sill(2y

According to a report in USA Today , more and more parents are helping their young adult children get homes. Suppose eight persons in a random sample of 46 young adults who recently purchased a home in Kentucky received help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young

Consider the data set. 2, 5, 6, 8, 9 (a) Find the range. (Enter an exact number.) (b) Use the defining formula to compute the sample standard deviation s. (Enter a number. Round your answer to two decimal places.) (c) Use the defining formula to compute the population standard deviation . (Enter a number. Round your answer to two decimal places.)

1)A certain state's license plate has 4 letters followed by 3 numbers. Repeats are not allowed for the letters, but they are for the numbers. a)How many such license plates are possible? b) If they are issued at random, what is the probability that the 4 letters are 4 consecutive letters in alphabetical order? 2)Is the capacity of the NFL football

Given 3y + 3x - xy = 0 What is y'? Choices: 9 a. - (x-3)2 b. 5 C. -6x $+9 d. does not exist

I drop a ball from a height of 5 m and notice that on each bounce the ball returns to 2/3 of its previous height. How far will the ball travel before it comes to rest?

For what positive value of x does the tangent line to the curve y = In(1 - x) intersect the y-axis at the point (0, 2)? O (A) 0.382 O (B) 0.547 O (C) 0.667 O (D) 0.778

Suppose a curve is defined by the equation dx O y dy 2x - y = - 1. y - x dx 2y - a dx O Find dy 2x(y - 2)+y dy da O dy y - 2x(y - 2)2 dx y - 2x(y -a) O dy

Assignment) For f(x) = 6x - 4 and g(x) = -(x + 4), find (fog)(x) and (go f)(x). Then determine whether (f o g) (x) = (go f)(x). What is (f . g)(x)? (fog)(x) =

. parts (a) at 15 Prove with induction that the sum of the first n terms of a geometric series with first term q and b Hence find th common ratio r is a(r" - 1) r - 1 32 Prove that 1 IN

Evaluate the following integral using "long division\" and "partial fraotion decomposition." Show ALL of your work. J'x34x+1 x23x+2

Evaluate the following integral using long division and partial fraction decomposition. Show ALL of your work.

sorry it's upside down, had to put the entire questions. also it let f(x)=-3 -x^?2 f (6) - f(4) 6 -4 f(4 + h) - f(4) B h C) lim f ( 4 1 h) f (4 ) h 0 h

Find the indicated complement. Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.185. Find the probability that in a given year it will not snow on January 1st in that town. O 1.185 O 5.405 O 0.227 O 0.815

1. Find the vector equation of a line in IR that passes through the points P(3, 6, 0) and Q(-2, 3, 1). O l(t) = (-5t, -3t, t) O l(t) = (-2 + 3t, 3 + 6t, 1) O e(t) = (-2+5t, 3 +3t, 1 -t) O e(t) = (-2t, 3t, t) O e(t) = (3 - 2t, 6 + 3t, t) 2. A ABC is a triangle in IR3 with vertices A(0, -2, 10), B(8, 8, 1), and C(-8, 8, 14) and mLA = 90. Find a

Help me answer

21) Find the area between the curves y 4 xz and y (5 points)

The cyclical component of a time series measures the over-all general directional movement over a long period of time True False

How many website graphics can be created by using at least five of six different bitmap images? There are distinct website graphics that can be created. X 5

3 9 ycos (x dxdy by reversing the order of 5. Evaluate 0 integration

3 5. Evaluate 0 integration. 9 Y cos x 2 Y by reversing the order of

.Varias pruebas dieron una puntuacin que sigue una distribucin normal con media =95 y desviacin estndar =15. Si tomo una muestra de n=30 Determinar el porcentaje de poblacin que obtendra un coeficiente entre 75 y 120. Qu intervalo centrado en 95 contiene al 60% de la poblacin? En una poblacin de 900 individuos cuntos individuos se esperan que

3. Determine the regression equation using the following information. EX=624 EY=234 N=26 SSx=1274 SSy=394 r= .86 4. Determine the correlation using the following information. EX=581 EY=225 N=25 S x=48.31 Sy=17 Y' =-0.457X + 19.82

During the lecture, we proved that the variance of Morris's estimator is Var [n] = 0(n2), which involved using the following claim: 3 3 E[22 Xn ] = =1 2 + -n+1 2 Use mathematical induction to prove the claim above

extbook @ Videos ' [+] Ise the quotient rule to find the derivative of 6 sin(I) + 7 728 +7 You do not need to expand out your answer. Be careful with parentheses! elvis Placeand instructor

Let x} = 4%. Erin'uellfuur each of the following expressions. 4" F+h}= 4 7+}: 4" chmtram 4137+}: 4./? w w = ':| (Make sure to cancel out the factor of h in the denuminaten} x

Give some additional names for autopsies and describe a coroner's case and describe when it would be included in the hospital's autopsy rate.

Please teach how to solve 1. Find the Domain: r(t) = ( csc(t), In(t -2) Vt - 3

1. Find the Domain r(t) csc(t), , In(t

2. Do we use the probability density function or the cumulative distribution function to find average outcomes? Or can we use both

Find the area of the sector of a circle with radius 3 centimeters formed by a central angle of (1 pi)/4' radians. Give your answer correct to 3 decimal places square centimeters Question Help: Video

a recent survey found that 20% of children dislike to read books. Suppose you randomly select 4 adults and ask them if they like reading books. What is the probability that 2 of them dislike reading? What is the probability that fewer than two of them dislike reading? What is the probability that at least two of them dislike reading? What is the

1) Listen A survey of internet users found that the users were on-line an average of 6.5 hours a week with a standard deviation of 2.3 hours. If 35 internet users are randomly selected, what is the probability that their average time online will be more than 6.2 hours? Express your answer as a decimal rounded to four decimal places. A

Question 7 (15 marks) After partially deriving a function, you have the following system of equation: 2y + 4z - x =52 3z - y + 5x =72 3y - 7z+2x = 10 Conclude if the function is maximum or minimum

Table 2.3, tabulates the presence of breast cancer following x-ray exposure Breast Cancer X-ray Positive Negative Total Exposure 51 13 64 No exposure 24 49 73 Total 75 62 Table 2.3 a. What is the odds ratio? b. What is the relative risk to getting breast cancer with exposure to x-rays

Detailed typed answer please Provide an appropriate response. Under what three conditions is it appropriate to use the t distribution in place of the standard normal distribution

When we maximize or minimize the value of a decision variable by running several simulations simultaneously, we have found an optimal solution to the problem and attitude toward risk becomes irrelevant. T or F?

What formula would apply since I know a cone structure has a height of 50 feet and a radius of 15 feet, and I make a replica of the structure that has been scaled down by a factor of . How would I figures what the volume of the replica inft 3? Help2

70f10 -/10 ;= Part 3 (c) A 92 % condence interval for a standard deviation. Round your answer to two decimal places. :z*= i 7 of 10 - / 10 E . . . Part 2 (b) An 82% confidence interval for a slope. Round your answer to two decimal places.9 of 10 - /10 WIN - = . . . Part 2 (b) Is it plausible that there is no difference between men and women in how