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The weights in pounds of 23 dogs were used to construct the following stem-and-leaf display using the first digit as the stem and the second digit as the leaf:. Stem Leaves3 2 44 0 3 4 5 7 8 95 0 1 2 3 4 56 1 2 5 6 77 0 189 8Use the stem-and-leaf display to find the lower quartile, median, and upper quartile and then use these values to construct a box plot. Use the box plot to identify any suspect or
General
4 months ago
Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes: Dam A f(t) = 5t – 7t – 1 Dam B g(t) = 3t 2 + 4t + 9Which function represents the difference in the amounts of water released, h(t) = f(t) – g(t)?Options: h(t) = 3t 2 – 5t + 11t + 10h(t) = 2t 2 – 11t – 10h(t) = 5t – 3t 2 – 3t + 8h(t) = 5t – 3t 2 – 11t – 10
General
4 months ago
Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pulls with 82.3 N in a direction 45° to the left, and Jane pulls in a direction 45° to the right with 125 N . (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey.
General
4 months ago
1. What is the difference between a Quantitative Discrete variable, and a Quantitative Continuous variable? Give TWO examples of each type of variable to help justify your answer.
General
4 months ago
To study the physical fitness of a sample of 28 people, the data below were collected representing the number of sit-ups that a person could do in one minute. 10 12 12 15 15 15 18 20 22 25 25 26 29 30 32 33 40 40 40 45 46 47 48 48 50 52 53 56 Create a box and whiskers. Be sure to include the 5 number summary, IQR, fences, whiskers, and outliers. Only mark these numbers on the number line.
General
4 months ago
An important part of the customer service responsibilities of a cable company is the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first five troubles reported on a given day, what is the probability that fewer than two troubles will be repaired on the same day?
General
4 months ago
An urn contains n white balls andm black balls. (m and n are both positive numbers.) (a) If two balls are drawn without replacement, what is the probability that both balls are the same color? (b) If two balls are drawn with replacement (i.e., One ball is drawn and it’s color recorded and then put back. Then the second ball is drawn.) What is the probability that both balls are the same color. (c) Show that the probability in part (b) is always larger than the one in part (a).
General
4 months ago
A student was asked to find the equation of the tangent plane to the surface z=x3−y4 at the point (x,y)=(1,3). The student's answer was z=−80+3x2(x−1)−(4y3)(y−3). (a) At a glance, how do you know this is wrong. What mistakes did the student make? Select all that apply. A. The (x - 1) and (y - 3) should be x and y. B. The -80 should not be in the answer. C. The partial derivatives were not evaluated a the point. D. The answer is not a linear function. E. All of the above (b) Find the correct equation for the tangent plane. z=
General
4 months ago
solve the system of inequalities by graphing y < -4x - 1 y>3x-1
General
4 months ago
Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid. The ages of 25 senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 Calculate the standard deviation of the ages of the senior citizens to 2 decimal places
General
4 months ago
Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer samples 7 two-liter polycarbonate bottles from a large batch and measures the wall thickness (in mils) in each. The results are: 3.999, 4.037, 4.116, 4.063, 3.969, 3.955, and 4.091. It is desired to test H0 : μ = 4.0 versus H1 : μ ≠ 4.0.Make a dotplot of the seven value.
General
4 months ago
Step 1: 4x + 5 < 6x + 1 (Given) Step 2: −2x + 5 < 1 (Subtraction) Step 3: −2x < 6 (Addition) Step 4: x > −3 (Division) Mia is trying to find her mistake in the problem shown. In which step did she first make a mistake? A) Step 1 B) Step 2 C) Step 3 D) Step 4
General
4 months ago
Stan’s Steakhouse has a server to cook ratio of 5 to 2. The total number of servers and cooks is 42. How many servers does Stan’s Steakhouse employ?
General
4 months ago
State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. Part A: 52,40,28,16 Part B: 2,4,8,16,32 Part C: 1/4,3/4,5/4,7/4,9/4 Part D: 1.1,1.5,1.9,2.3,2.7
General
4 months ago
In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume coming from various media categories such as network television, spot television, newspapers, radio, and so forth.Suppose that a random sample of 392 U.S. advertising agencies gives an average percentage share of billing volume from network television equal to 7.41 percent, and assume that alpha equals 1.43 percent. Calculate a 95 percent confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies.
General
4 months ago
The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There are four batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages? (Round your answer to two decimal places.) hours
General
4 months ago
Which is the correct way to evaluate f(15) for the function f(x)=2(x+3)?Start by substituting 15 for x. Then, simplify to get f(15)=36.Since f(15) is not within the domain of the function, it cannot be evaluated.Since f(15) means the output value is 15, the function evaluates to f(15)=15.Start by letting 2(x+3)=15, then solve for x. When solved, the answer is x=4.5.
General
4 months ago
25 POINTS + BRAINLYESTA right rectangular prism is packed with cubes of side length 1/6 inch. if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?1/6 cubic inch1/3 cubic inch1 2/3 cubic inches2 5/6 cubic inches
General
4 months ago
Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to be about $23,500. You take a random sample of 146 college students in the state of Vermont and find the mean debt is $24,500 with a standard deviation of $2,800. We want to construct a 90% confidence interval for the mean debt for all Vermont college students.
General
4 months ago
Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to John: infection occurs in 2% of operations, the repair fails in 12% of operations, and both infection and failure occur together in 1.12% of operations. What percentage, P, of these operations succeed and are free from infection? Please round your answer to the nearest two decimal places.
General
4 months ago
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