A water tower casts a shadow that is 320 feet long. You stand at the end of the shadow and measure the angle of elevation to be 22 degrees. How tall is the tower?

Mr. thompson is on a diet. he currently weighs 260 pounds. he loses 4 pounds per month. what part of the story makes the relationship not proportional?

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.)

Agame has a rectangular board with an area of 44 in2. there is a square hole near the top of the game board in which you must not toss in a bean bag. the square has side lengths of 3 in. what is the probability of not tossing the bag through the hole? a)9/44 b)3/9 c)3/44 d)35/44