A garage owner needed to fence in two sides of his storage lot. It was 2,519 feet long and 783 feet wide. How many meters of fencing did he need to buy? Round to the next larger whole number.​

A researcher would like to investigate whether people suffering from insomnia can be helped by taking yoga classes.She designs an experiment as follows.She will obtain a group of volunteer insomniacs who do not currently practice yoga.Each person's degree of insomnia at the start of the experiment will be evaluated.Volunteers will be randomly assigned to one of three groups.Those in group 1 will practice yoga every day,those in group 2 will practice 3 times per week,and those in group 3 will not practice yoga.At the end of a suitable time period each person's degree of insomnia will again be evaluated.The improvement for the three groups will then be compared.Explain why it is important to assign volunteers to groups at random rather than letting them choose their own group.

What is another name for a cumulative frequency polygon?

A) ogive
B) cumulative polygon
C) olive
D) cumulative tally

An eight year note for $3,800 with interest at 6% compounded semi-annually was sold after three years and three months to yield the buyer 9% compounded quarterly. What price did the buyer pay?

{Movie Revenues Narrative} Which interval in the previous two questions is narrower: the confidence interval estimate of the expected value of y or the prediction interval for the same given value of x (10 years)and same confidence level? Why?

The candy company that makes M&M's claims that 10% of the M&M's it produces are green.Suppose that the candies are packaged at random,and the small bags contain 25 M&M's.When we randomly pick a bag of M&M's,we may assume that this represents a simple random sample of size n = 25.Suppose that in a randomly selected small bag of M&M's,there are 5 green M&M's.What is the plus four estimate of the proportion of green M&M's?

A) = 0.1724
B) = 0.2
C) = 0.222
D) = 0.2414

If a distribution has a mean of 100 and a standard deviation of 15,what value would be +2 standard deviations from the mean?

A) 70
B) 85
C) 115
D) 130

Determine the values of a and b that satisfy the equation. $$8-7i=(a+4)+(b-9)i$$

A) $a=4;b=2$
B) $a=12;b=16$
C) $a=17;b=11$
D) $a=1;b=-5$
E) $a=-2;b=-4$

{Energy Drink Consumption Narrative} Test the hypotheses in the previous question at the 10% significance level to determine if we can infer that energy drink consumption increases heart rate.