Rick the receptionist claims that he types an average of 70 words per minute. In order to test this, Rick's boss gives him 15 different one minute typing challenges throughout the day. On each challenge, Rick's boss records the number of words typed. The boss calculates the sample mean to be 67 words per minute and the sample standard deviation to be 16 words per minute. He calculates a test statistic for the following hypothesis test: H0: μ = 70 Ha: μ ≠ 70 Assuming the null hypothesis is true, this test statistic will follow:

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

Trish receives $450 on the first of each month. josh receives $450 on the last day of each month. both trish and josh will receive payments for next four years. at a discount rate of 9.5 percent, what is the difference in the present value of these two sets of payments?

Give all possible names for the line shown.calculation tip: lines can be written with either point first.