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Mathematics Questions and Answers February 26, 2023

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If a baseball player has a batting average of 0.420, what is the probability that the player will get at least 2 hits in the next four times at bat?

In a hypothesis test, if the computed Pvalue is less than 0.001, there is very strong evidence to a) fail to reject the null hypothesis. b) reject the null hypothesis. c) retest with a different sample. Review Later Question 2 In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises

A consumer preference study compares the effects of three different bottle designs (A,B, andC) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in

For the daily lottery game in a particular state, participants select 4 numbers between 0 and 9. A number cannot be selected more than once, so a winning ticket could be 3071 but not 3371. THe order of selection is important. Purchasing one ticket allows you to select one set of numbers. The winning numbers are announced on TV each night. a/ How

Consider a binomial experiment with n = 20 and = 0.45. Let x denote the number of successes. 13 f(x 4) = _______ f(x 4) = _______ a 0.0244 0.9556 b 0.0244 0.9879 c 0.0189 0.9951 d 0.0189 0.9811

Suppose you are taking a multiple-choice test with c choices for each question.In answering a question on this test, the probability that you know the answer is p.If you dont know the answer, you choose one at random. What is the probabilitythat you knew the answer to a question, given that you answered it correctly?

a survey was conducted to study the relationship between the annual income of a family and the amount of money the family on entertainment. Data were collected from a random sample of 280 families from a certain metropolitan area. a meaningful graphical display of these data would be

A research firm conducted a survey to determine the mean amount people spend at a popular coffee shop during a week. They found the amounts spent per week followeda normal distribution with a population standard deviation of $4. A sample of 49 customers revealed that the mean is $25. What is the 95 percent confidence interval estimate of ? Need

The average skin friction coefficient (nondimensional and positive), Cf , for a turbulent boundarylayer depends on the Reynolds number (nondimensional and positive), Re, asCf = (Re) , (9)where and are unknown constants (i.e., which do not depend on Re). Note that is a positivemultiplicative factor and is the exponent of Re. The above form would

A marketer manages four products, A, B, C, and D. Assuming that the products are similar in all respects, what is the probability that one product outperforms the other three in each year of a given three year period?

I need help with my assignment: GAF, Consumer Satisfaction, and Type of Clinical Agency (Public or Private) A researcher wants to know if mental health clients of private versus public service agencies differ on Global Assessment of Functioning (GAF) scores and on Satisfaction with Services (Satisfaction). She has collected data for 34 clients

4. A random sample of 288 voters registered in the state of California showed that 141 voted in the last general election. A random sample of216 registered voters in the state of Colorado showed that 125 voted in the most recent general election. Find and interpret the 92% confidence interval for the difference between the population proportions.

1. For the following questions, a calculated probability of equal to or less than 0.05 is considered significant. a. Is it significant to get a 12 when a pair of dice is rolled? Show evidence and discuss. b. Assume a study of 500 randomly selected school bus routes revealed 480 arrived on time. Is it significant for a school bus to arrive late?

A pizza restaurant offers 11 different toppings: 6 of them are vegetarian and 5 of them are non-vegetarian. A customer selects her first topping at random and then selects another one at random from the remaining toppings. What is the probability that both her selections are vegetarian? Report your answer as an exact fraction.

Sample survey: Suppose we are going to sample 100 individuals from a county (of size much larger than 100) and ask each sampled person whether they support policy Z or not. Let Yi = 1 if person i in the sample supports the policy, and Yi = 0 otherwise. a) Assume Y1, . . . , Y100 are, conditional on , i.i.d. binary random variables with expectation

The conditional probability of an event is always greater than the unconditional probability. True False

An ornithologist is studying the length (in seconds) of bird calls. Random samplesfrom three different breeds yielded the following results.Breed 1 2.3 1.9 2.1Breed 2 0.8 1.2 1.1Breed 3 2.0 1.4 1.7Use one-way ANOVA to test if the mean call length differs for the three breeds. Use = 0.05.What are the null and alternate hypotheses? A) H0: 1 23; H1:

a ' c 1 1 1 8 EVALUATlflG 5.2 53 Consider Figure 514, the decile-w: nationality; Avi". , c . A. c and. ciagsified 88 galen: le correctly so). ConSt RT on}' fun [he v y '. 1. (threshold) 216223312?v}:ch ymca" Suppose that Chi? mainefsds classified as flandulcnt. Descn C t {at 6 Cum up alter the proportxon 0 Fe or down would aflect the following:

PSY 205: Research Methods I Module 7: Assignment 1. A researcher is interested in the relationship between fathers' performance in high school and their children's social skills. She obtains the high school transcripts of fathers and records their ending GPA. She then measures the social skills of their oldest child. Use the data shown below to:

MAT 150 Case 4 Assignment and Template I affirm that this assignment contains all original work. I am familiar with Trident University's Academic Integrity policy located in the Trident Policy Handbook. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or

Collaborated Copied Copied on Student from on Exam Individual Internet Project NO NO YES 1 NO YES YES 2 NO YES 3 YES NO YES NO 4 YES YES 7 YES NO NO YES 8 YES YES 9 YES NO NO YES 10 YES NO 12 YES NO NO YES 13 YES NO 16 YES NO YES NO 17 YES YES 18 YES YES NO 20 YES YES NO 22 YES NO YES YES 23 NO YES NO 25 YES YES 26 YES NO YES NO 27 NO NO NO 28 NO

Select at least three variables that you believe have a linear relationship. Specify which variable is dependent and which are independent. Collect the data for these variables and describe your data collection technique and why it was appropriate as well as why the sample size was best. Submit the data collected by submitting the SPSS data file

1. The two samples below are independent from Normal populations with equal variances. Sample 1. n=40, sum of X= 3200, sum of X^2= 314000 Sample 2. n=11, sum of X= 530, sum of X^2= 50500 Construct a 90% confidence interval for the difference in population means. State the confidence interval in terms of sample 2 - sample 1 2. The department of

Confidence Interval or the lack of it....... It is 1581 Anno Domini . At the Undergraduate School of UMUC, besides Assistant Academic Director of Mathematics and Statistics, I am also the Undergraduate School-appointed CPA, Coffee Pot Attendant.It is a very important office sponsored by the Holy See. I have taken this job very seriously, because I

The following information was obtained from independent random samples. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Size 10 12 Sample Mean 50 48 Sample Variance 85 90 We are interested in testing H0:Sample 1-Sample 2= 0 Ha:Sample 1-Sample 2 0 Step 1 of 3: What is the value of the test statistic? Round

3.) Jens pension is an annuity with a guaranteed return of 5% interest/year compounded monthly. She can afford to put $300/month into the fund, and she will work for 45 years before retiring. If her pension is then paid out monthly based on a 20-year payout, how much will she receive each month

1 (1 point) Solve the problem. It costs $16 per hour plus a flat fee of $31 for a plumber to make a house call. What is an equation of the form for this situation? Question 1 options: a) y= 16x + 31 b) y= 31x c) y= 16x d) y= 31x + 16 Save Question 2 (1 point) Solve the problem. Suppose a cost-benefit model is given by where C is the cost in

Consider the following matrix: (mat # Create a nested for- loop (a for- loop within a for- loop) # to replace the values in mat as follows: # the values in the matrix should be the result # of multiplying the row and column number. # For example, the cell in row 3, column 5, needs # to be 15. I need a R code for this problem

1. In each case, find the approximate sample size required to construct a 95% confidence interval for p that has a margin of error of ME = .08. a.Assume p is near .2. b.Assumeyouhavenopriorknowledgeaboutp,butyouwishtobecertainthatyoursampleislargeenoughtoachieve thespecifiedaccuracyfortheestimate.

Let W(s,t) = F(u(s,t)), v(s,t)) where u(1,0) = 2, u s (1,0) = -5, u t (1,0) = -1 v(1,0) = 3, v s (1,0) = 7, v t (1,0) = 1 F u (2,3) = -1, F v (2,3) = 9 What are... W s (1,0) = ? W t (1,0) = ?

\fChi-Square Goodness of Fit Test (Assuming Equal Expected) Items Roll a 1 Roll a 2 Roll a 3 Roll a 4 Roll a 5 Roll a 6 Observed Expected 13 20.00 33 20.00 14 20.00 7 20.00 36 20.00 17 20.00 - Chi Square 2.45 8.45 1.80 8.45 12.80 0.45 - Data Level of Significance Degrees of Freedom 0.01 5 Results Critical Value 15.0863 Chi-Square Test Statistic

Customer 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 Day Mon Wed Mon Tue Wed Sat Sun Fri Wed Tue Sat Sun Sun Mon Fri Thu Thu Mon Fri Wed Sat Tue Sun Tue Fri Wed Sat Sat Fri Mon Thu Fri Sun Fri Tue Mon Thu Sat Tue Wed Tue Sat Fri Mon Mon Fri Thu Fri Mon

There are 4 distinct toys in cereal boxes, and each type, independent of prior selections, is equally likely to be in a box. On average, how many cereal boxes would you need to buy if you want a complete collection with a least one of each type of toy?

Hi! I completed most of this question but am stuck on part of it could you help me make sure it is correct: a. Use the following questions to assess your own utility function for money values between $0 and $5000. You should assume that all sums of money referred to will be received immediately. i. You are offered either a sum of money for certain

1) A corporation plans to fill 2, different positions for vice-president, V1 and V2, from administrative officers in 2 of its manufacturing plants. Plant A has 6 officers and plant B has 8 officers. (A) How many ways. can these,2 positions be fiIled if the V1 position is to be filled from plant A and the V2 position from plant B? (B) .How many

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find the mean, mode and median of the following data, 3,5,7,8,9,6,7,3,3

MATH 106 Statistics Project Instructions Version 2.1 (Summer 2016) MATH 106 Statistics Project Instructions (Revised May 2016) For this assignment, you will implement a project involving statistical procedures. The topic may be something that is related to your work, a hobby, or something you found interesting. If you choose, you may use the

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Question 4. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. a) Use a 90% confidence interval to estimate the true proportion of students

Hello I have this Project due on June 15th Please see the attachment it has diagram included in it. Following are the details of projectReview Case 5.3 \"Boise Cascade Corporation\" (Groebner p.222). Make the necessary computations and write a short report discussing your answers and findings. Important: Hints: You will need to analyze the

17- 20: In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 andover), 53% said that they were dissatisfied with the quality of education students receive inkindergarten through grade 12. They also report that the "margin of sampling error is plus orminus 4%." 17. What is the population of

#1 Suppose the following information is collected from Robert on his application for a loan. a. Insurance payments of$375 b. Number of children 1 c. State currently living in Georgia d.Mortgage principal $ 161 comma 744 Classify each of the responses by type of data and level of measurement. a. Insurance payments of $375is what type of variable?

6-1 Numerical Summaries Definition: Sample Mean 6-1 Numerical Summaries Example 6-1 6-1 Numerical Summaries Fulcrum The sample mean as a balance point for a system of weights. 6-1 Numerical Summaries Population Mean For a finite population with N measurements, the mean is The sample mean is a reasonable estimate of the population mean. 6-1

a.A small resort is situated on an island that lies exactly 5 miles from P , the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the closest source of fresh water. If it costs 1.6 times as much money to lay pipe in the water as it does on land, how far down the shoreline from P should the

SouthsideHospitalin Bay Shore, New York, commonly conducts stress tests tostudy the heart muscle after a person has a heart attack. Members of thediagnostic imaging department conducted a quality improvement project with theobjective of reducing the turnaround time for stress tests. Turnaround time isdefined as the time from when a test is ordered

Suppose a cell phone plan costs 20 dollars per month for 30 minutes of use and each additional minute costs .5 dollars. If the number of minutes you use in a month is a geometric random variable M with E[M] = 30, what is the PMF of C, the cost of the phone for one month? What is E[C]?

East Side Bank has three loan officers, Jim, Sally, and Dave, who process all loan applications. Each application results in an approval, rejection, or delay. The results of the last 100 loan applications are shown below. Jim Sally Dave Total Approved 20 16 18 54 Rejected 12 7 14 33 Delayed 5 2 6 13 Total 37 25 38 100 If you choose a loan

lpen Assignment FULL SCREEN PRINTER VERSION 4 BACK Question 2 BIncorrect. Try again. Remember to first find the interval for the ratio of variances and then take the square roots of the endpoints to obtain the interval for the ratio of standard deviations. The diameter of steel rods manufactured on two different extrusion machines is being

find complete solution set for log2(x)=4-log2(x-15) and how would you solve this step by step?

Using data from the previous question (below), what percent of the variation of units of work completed can be explained by this model? Y = -212 + 1.90X2 + 2.00X3 + 0.25X4, R2 = .75. (.050) (.060) (.20) a) 50 b) 25 c) 90 d) 60 e) 75

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2,870 1,440 770 1,720 890 700 610 2,920 1,610 470 2,210 2,790 1,820 1,850 3,250 980 2,630 3,390 430 3,180 6,407 4,808 3,593 4,338 2,717 3,620 3,212 7,605 5,027 1,931 6,068 5,317 5,122 3,502 6,397 3,297 5,365 6,527 3,266 6,196

What is the probability that a randomly selected students score will fall between a standard Z-score of -1.61 and a standard Z-score of 1.28?

7 men and 3women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that no man will be interviewed until at least two women have been interviewed.

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Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. Some examples of "good," socially conscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. The question is, are such stocks overpriced? One measure of

If the linear assumption in regression is violated? a. No particular problem results, b. Predictions of Y can still be made, but the coefficient of determination is invalid, c. The formulas in regression analysis do not apply, d. The slope of the sample line must be adjusted upward before it can be used, e. None of the above.

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Help Can someone please help me with this homework and show me the work process? I'm really lost... It needs to be done with SPSS software... Please! You will be a life saver. I cant raise my price by much but I will try to do the best I can...Thanks!

With regard to Proposition 5.2.2: "Let C be the price of a call option that enables its holder to buy one share of a stock at an exercise price K at time t ; also, let P be the price of a European put option that enables its holder to sell one share of the stock for the amount K at time t. Let S be the price of the stock at time 0. Then, assuming

Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 15 18 32 11 28 4 15 19 6 30 18 11 22 5 42 34 17 28 16 17 18 Shall we

STAT/MATH 463 Homework #11, due Wednesday, December 7, 2016 Show your work to the extent possible. Also, you must label the answers to the questions - if you paste plots and computer code into your document without labeling things clearly, you will lose points. 1. Suppose that Yt = Xtd + Zt where Xt and Zt are uncorrelated white noise both with

In a survey of 100 adults, 91 of them said that they trusted DNA testing. a. What is p , the sample proportion of adults who trust DNA testing? b. Find and interpret the 98% confidence interval for the proportion of adults that trust DNA testing.

2. Determine two pairs of polar coordinates for the point (2, -2) with 0 < 360. possible Answers: a) (22, 225) , (-2 2, 45) b) (22, 135) , (-2 2, 315) c) (22, 315) , (-2 2, 135) d) (22, 45) , (-2 2, 225)

Hi. I am struggling with my statistics homework and am looking for help. Assignment Guidelines Critically evaluate the two scenarios you selected based upon the following points: Critically evaluate the sample size. Critically evaluate the statements for meaningfulness. Critically evaluate the statements for statistical significance.

Let X~N(2,6) and Y~N(-3,2) and Z~N(0,1). All three random variables are independent of each other. Do the following. a. What is the distribution of W=X+Y+Z? What are E(W) and Var(W)? b. What is the distribution of Q=2Y? c. What is the distribution of P=-2X+4? d. Find a and b so that M=a+bX is distributed as a standard Normal Distribution?. Thank

Need this worked out in steps. What is the critical value of t for the claim that the difference of two means is less than zero with a = 0.025 and sample sizes of nine and seven? Assume equal population standard deviations.

The Mean Corporation manufactures a line of unassembled furniture. Based on historical evidence, the customer service manager knows that the proportion of customers that have not had any problems with assembling the furniture at home is 0.63. Improvements have been made to the instructions provided with the furniture, and the customer service

STAT 301.001 Fall 2016, Homework 6 Due: October 7th, Friday at the beginning of class Show your work in the answers. Problems from the textbook All questions from 3-1 to 3-9, and 3-13. You only need to answer \"discrete\" or \"continuous\" for the first 9 problems. Additional Problem 1 Roll a die twice. The sample space for this random experiment

Welcome! Please read this page very carefully. Instructions You need to understand how to send your assignments (deliverables) to your instructor. The tabs (bottom of each sheet) in this document contain all of the deliverables expected of you. If you need help along the way, look for these special cells that have a red indicator in the corner. It

Steven collected data from 20 college students on their emotional responses to classical music. Students listened to two 30-second segments from The Collection from the Best of Classical Music. After listening to a segment, the students rated it on a scale from 1 to 10, with 1 indicating that it made them very sad to 10 indicating that it made

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Tutorial 2 1. Write the t-distribution for p = 2 without using matrix. 2. For SP500 index of 2014 (symbol gspc), please (a) t a t-distribution to the daily log-return. (b) calculate sample Skewness and test the symmetry with signicant level 0.01 (c) calculate sample Kurtosis and test whether it is 3 with signicance level 0.01 (d) t t-distribution

The probability that a pharmaceutical firm will successfully develop a new drug that will return $750 million dollars is 0.14. If the research is unsuccessful, the company incurs a cost of $100 million dollars. What is the expected return in the long run for continually trying to develop new drugs?

Hello there I need to have Business Research analysis write up as good and positive as you can. Herewith attached file for the outcome of after SPSS analysis. I need to write up for these for my research paper. Here only the last regression equation should be reported. Requirements as below I need significance in ANOVA, R2, Adjusted R2, the

MM305 UNIT 9 PROJECT Name: Directions: The following software may be used: o Excel->Data Analysis o Excel QM o QM for Windows (PC only) Please make sure to insert your answers, including any charts, graphs, or output, on this document. You may be required to also upload original files from Excel or QM for Windows. The calculations are not your

Weight Cost 1.897 53.6 3.019 184.9 0.453 6.4 0.988 23.5 1.058 33.4 2.1 110.4 2.387 104.6

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Use the confidence level and sample data to find a confidence interval for estimating the populationm. A group of 56 randomly selected students have a mean score of 30.8 with a standard deviation of 4.5 on a placement test. What is the 90 percent confidence interval for the mean score,m, of all students taking the test?

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test? (A) 82 (B) 88 (C) 100 (D) 112 (E) 118

Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. (a) What is the probability that a randomly chosen 10 year old is shorter than 48 inches? (please round to three decimal places) (b) What is the probability that a randomly chosen 10 year old is between 60 and 65

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A) Let {xn } be a bounded sequence. Prove directly using the denition of lim inf and lim sup that there exists two possibly dierent subsequences {xnk } and {xnk } of {xn } where lim inf xk = lim xnk and lim sup xk = lim xnk n k n k 1 1 B) Assume |an | n for n = 1, 2, . . . is a bounded sequence and lim sup |an | n > 0. If R is dened by 1 1 = lim

My questions are: Question 2: How does using a Latin Square aid a researcher in counterbalancing a study? Question 4: A researcher is interested in whether participating in sports positively influences self-esteem in young girsl. She identifies a group of girls who have not played sports before but are now planning to begin participating in

Assume you have 10 subjects in your study (n = 10), and these are your calculated values from your correlation. Based on the values from above, please calculate the Standard Error of Estimate:

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is: A. 1 22 B. 3 22 C. 2 91 D. 2 77

Plot the function and find the Laplace transform of a periodic function with a period T = 2a, definedasf(t) = t(H(t) H(t a)) + (2a t)(H(t a) H(t 2a)) t [0, 2a)Here a is a positive real number

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True or False. Justify answers. If the variance of a data set is zero, then all the observations in this data set are zero. If P9A) = 0.4, P(B)=5 and A and B are disjoint, the P(A and B) = 0.9 Assume X follows a continuous distribution which is symmetric about 0. If P(X >2) = 0.3, then P (X

Item WinCo Foods Bananas (lb) $0.42 Red Onions (lb) $0.58 Mini Peeled Carrots (1 lb bag) $0.98 Roma Tomatoes (lb) $0.98 Deli Tater Wedges (lb) $1.18 Beef Cube Steak (lb) $3.83 Beef Top Round London Broil (lb) $3.48 Pillsbury Devils Food Cake Mix (18.25 oz) $0.88 Lipton Rice and Sauce Mix (5.6 oz) $0.88 Sierra Nevada Pale Ale (12 - 12 oz bottles)

For the equation x^ 4 / 6 + y^ 2 / 3 = 2 . Find the equation of the tangent line at the point ( 1 , 1 ) .

University of Hartford Barney School of Business Department of Economics, Finance, Insurance QNT 230 Summer 2016 Dr. B. Kolluri 1. An economist selected a random sample of five firms from a very large industry to study the relationship between total cost and volume of production. The following information was obtained: (70 points) Firm A B C D E

1) Match each of the following graphs to the appropriate conditions for Explain. I. y=f ( x ) 0 1 2 II. y=f ( x ) 0 1 2 III. y=f ( x ) 0 1 2 A. f ' ( x )> 0 on ( 0,2 ) , f ' ' ( x ) <0 on ( 0, 1 ) , f ' x> 0 on ( 1,2 ) B. f ' ( x )> 0 on ( 0,1 ) , f ' ( x ) < 0 on (1, 2 ) , f ' ' ( x ) >0 on ( 1,2 ) , f ' ' ( x ) <0 on ( 1, 2 ) c. f ' x> 0 on (

Suppose you knew that the mean number of calls to a fire station on a weekday is 8. What is the probability that on a given weekday there would be 11 calls? What is the variance of the distribution?

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Joan faces an 80% chance of having a loss of $0 and a 20% chance of having a loss of $10. Mary also faces an 80% chance of having a loss of $0 and a 20% chance of having a loss of $10. Harry faces a 80% chance of having a loss of $0 and a 20% chance of having a loss of $25. 1.What is the actuarially fair premium (AFP individually for Mary, Joan,

In a large bag of marbles, 20% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles? 0.026 0.102 0.154 0.032

1-If the given angle is in standard position, find two positive coterminal angles and two negative coterminal angles. (Enter your answers as a comma-separated list.) (a) 240 positive angles negative angles (b) 285 positive angles negative angles (c) 110 positive angles negative angles 2. Find the exact radian measure of the angle. (a) 810 (b) 63

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