Marcus collects donations and sends care packages to troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes? What is the greatest number of packages of soap and toothbrushes that Marcus can make? 》 Marcus can make at most? 12 packages How many bars of soap and toothbrushes are in each package? 0 There are bars of soap and ? toothbrushes in each package.

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algebra 11 months ago 3095

7.How many standard deviations are _ ED there in each inflection point? A.O C. 2 B. 1 D. 3 8.Which of the following denotes the standard normal distribution? A. A C.Y B.X D. Z 9. A random variable X has a mean of 12 and a standard deviation of 3.2. Whatis the corresponding z-score for x = 8 ? A. -1.25 C. -1.75 B. -1.50 D. -2.25 10.What is the area under the normal curve if the z-score given is 2.14? A. 0.9830 C. 0.9838 B. 0.9834 D. 0.9842 11.What is the z-score if the area n? under the normal curve is 0.0475? A. -1.66 C. 1.66 B. -1.67 D. 1.67 12. What is the area under the normal _ curve between the z-scores -1.99 and 1.56? A. 0.9173 3 B. 0.9317 C. 0.9369 D. 0.9639 13. What is the area of the PZ>2.58 _ using the standard normal curve? A. 0.0049 B.0.0051 C. 0.9949 D.0.9951 14. In an achievement test, the mean _ score of normally distributed values is 70 and the standard deviation is 12. What is the percentage of students who gota score of 85 and above? A. 0.1056 B. 0.1075 C. 0.8925 D. 0.8944 15. What is the value of 70th percentile _ in a standard normal distribution? A. 0.51 B. 0.52 C. 0.61 D. 0.62

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algebra 11 months ago 7891

A 1/8 illustration board has a length of 15 inches and a width of 10 inches. You are going to construct the largest box out of a 1/8 illustration board by cutting out equal squares with side from each of its corners as shown below. On the base of the box that you created, write your answers to the following: A. Express the volume of the box as a function of . Call it . B. Give all the possible integral values of . C. Evaluate: ; ; ; ; ; and . D. Give the volume of the largest box obtained from an integral value of .

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algebra 11 months ago 8802

A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 500 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.47. a What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 ? The polling agency will take another sample from a different region, Region B, of the city. The agency plans to select a random sample of 400 voters. Assume that the population proportion of voters who would support the ballot measure in Region B is 0.51. b Describe the sampling distribution of the difference in sample proportions Region B minus Region A. c What is the probability that the two sample proportions will differ by more than 0.05 ?

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algebra 11 months ago 8957