A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40

feet in front of the right goal post.

a) find the measure of ∠A and ∠B

b) which angle is larger, ∠A or ∠B?

c) from which point would you have a better chance of kicking the ball into the goal? Why?

What is the order of magnitude for the number of liters in a large bottle of soda served at a party

Orly uses 2 cups of raisins for every 12 cups of trail mix she makes. how many cups of trail mix will she make if she uses 8 cups of raisins?

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)