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Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of jelly beans is 2/5. If Sally chooses 13 jelly beans, what is the probability that at most two will be green jelly beans?a) 0.0349b) 0.3100c) 0.0579d) 0.9421e) 0.5000

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general 10 months ago 1801

Beth read a total of 12 books over 7 months.If Beth has read 84 books so far, how many months has she been with her book club?Solve using unit rates.

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general 10 months ago 9765

Let V denote the set of ordered triples (x, y, z) and define addition in V as inR3.For each of the following definitions of scalar multiplication, decide whether V is a vector space.(a) a(x,y,z)=(ax,y,az)(b) a(x,y,z)=(ax,0,az)(c) a(x,y,z)=(0,0,0)(d) a(x,y,z)=(2ax,2ay,2az)

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general 10 months ago 9379

American General offers a 7-year ordinary annuity with a guaranteed rate of 6.35% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $10,000 annually over the 7-year period?

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general 10 months ago 2110

Based on meteorological data for the past century, a local TV weather forecaster estimates that the region’s average winter snowfall is 23'', with a margin of error of {2 inches. Assuming he used a 95% confidence interval, how should view-ers interpret this news? Comment on each of these statements.a. During 95 of the past 100 winters, the region got between 21" and 25" of snow. b. There 's a 95% chance the region will get between 21" and 25" of snow this winter. c. There will be between 21" and 25" of snow on the ground for 95% of the winter days. d. Residents can be 95% sure that the area's average snowfall is between 21" and 25". e. Residents can be 95% confident that the average snowfall during the past century was between 21" and 25" per winter.

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general 10 months ago 5802

A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 members, 44 of which are Demonstrators and 56 of which are Repudiators. (a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators? (b)Suppose that each party must select a speaker and a vice speaker. How many ways are there for the two speakers and two vice speakers to be selected?

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general 10 months ago 1726

During a recent drought, a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year. Find a 95% confidence interval for the proportion of residences that reduced their water

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general 10 months ago 1033

Determine whether the lines L1:x=18+6t,y=7+3t,z=13+3t and L2:x=−14+7ty=−12+5tz=−8+6t intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty.

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general 10 months ago 9499

Determine whether or not the random variable X is a binomial random variable. If so, give the values of n and p. If not, explain why not. a. X is the number of dots on the top face of fair die that is rolled. b. X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective.

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general 10 months ago 7772

Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event.( a ) The first and last flips come up heads.( b ) There are at least two consecutive flips that come up heads.( c) There are at least two consecutive flips that are the same

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general 10 months ago 4312

Suppose a basketball player is practicing shooting, and has a prob-ability .95 of making each of his shots. Also assume that his shots are in-dependent of one another. Using the Poisson distribution, approximate theprobability that there are at most 2 misses in the ﬁrst 100 attempts

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general 10 months ago 6359

consider the parabola with a focus at the point (0,-3) and directrix y=2 . which two equations can be used to correctly relate the distance from the focus and the directrix to any point (x,y) on the parabola ?

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general 10 months ago 3475

Usually, Dolores has to stock the shelves by herself and it takes her 7.2 hours. Today Camille helped Dolores and they were able to finish the task in 2.8 hours. How long would it have taken Camille if she were working alone?

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general 10 months ago 9343

Suppose a country has a population of 50 million and projects a growth rate of 4% per year for the next 20 years. What will the population of this country be in 11 years? (Round your answer to two decimal places.)

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general 10 months ago 7783

The top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. If the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area.

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general 10 months ago 6305

In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated. Is it possible to claim that most of the seed will germinate? Consider a confidence level of 95%.

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general 10 months ago 3060

When 3010 adults were surveyed in a poll, 27% said that they use the Internet. Is it okay for a newspaper reporter to write that "1 divided by 4 of all adults use the Internet"? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.The test statistic is z = ?. (Round to two decimal places as needed.)The P-value is ?. (Round to four decimal places as needed.)Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. (Assume a 0.05 significance level.)

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general 10 months ago 1894

DDT is a pesticide banned in the United States for its danger to humans and animals. In an experiment on the impact of DDT, six rats were exposed to DDT poisoning and six rats were not exposed. For each rat in the experiment, a measurement of nerve sensitivity was recorded. The researchers suspected that the mean nerve sensitivity for rats exposed to DDT is greater than that for rats not poisoned. The data is displayed. Poisoned rats 12.207 16.869 25.050 22.429 8.456 20.589 Unpoisoned rats 11.074 9.686 12.064 9.351 8.182 6.642 Let μ 1 be the mean nerve sensitivity for rats poisoned with DDT. Let μ 2 be the mean nerve sensitivity for rats not poisoned with DDT. The P ‑value for this test was between 0.01 and 0.05. Which statement is a reasonable conclusion?

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general 10 months ago 5252

An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%, 77%, and 81% on the first three exams, what must he score on the fourth test to maintain a 70% or better average.

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general 10 months ago 5636

Consider a triangle with vertices at (0,0) and (x1, 71) and (x2, 92). a. Use the interpretation of a determinant as area of a parallelogram to explain why the following formula calculates the area of the triangle. (Hint: A diagonal of a parallelogram cuts the parallelogram into two triangles of equal size A =\det (i 2) b. Set (x1, y.) = (1,2) and (x2,Y2) = (3,-1). Use the formula to calculate the area of the triangle.

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general 10 months ago 2620