4 of 74 of 7 Items 40:29

Item 4
Which pair of triangles must be similar?

Triangles 1 and 2 each have a 35º angle.
Triangles 1 and 2 each have a 35º angle.

Triangles 3 and 4 are both isosceles. They each have a 40º angle.
Triangles 3 and 4 are both isosceles. They each have a 40º angle.

Triangle 5 has a 30º angle and a 90º angle. Triangle 6 has a 30º angle and a 70º angle.
Triangle 5 has a 30º angle and a 90º angle. Triangle 6 has a 30º angle and a 70º angle.

Triangle 7 has a 50º angle and a 25º angle. Triangle 8 has a 50º angle and a 105º angle.

In triangle abc segment de is parallel to the side ac . (the endpoints of segment de lie on the sides ab and bc respectively). find de, if ac=20cm, ab=17cm, and bd=11.9cm;

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.