11: Solve the following problems completely. Show your solutions. (5 pts each) 1. A quadrilateral has sides 6 cm, 10 cm, 18 cm, and x cm. A quadrilateral similar to this, the corresponding
sides are b, c, 36 cm, and 48 cm. Find & b, and X.
2. A tree stops a surveyor from directly measuring the length XY of a lot boundary. She measures XP = 500 ft
and extends it 10 ft to A. YP turns out to be 600 ft and is extended 12 ft to B. Why is AXPY AAPB?
What is the length of the lot boundary?
X
B
500 ft
12 ft
10 ft
A
600 Ft​

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.)