A scientist developed an early diagnostic test for a disease. The test has false positive and false negative rates both equal to 1%. The prevalence of the disease in the population is 1 out of 5000. If the disease is not diagnosed early, the treatment will cost $25, 000. If it is diagnosed early, there is a preventative treatment which costs only $125. Assume that everyone whose test came out to be positive will undergo that preventative treatment. Also assume that every diagnosis will be an early diagnosis. Required:
Advise the scientist on the maximum price of a diagnostic test, such that it is still cheaper to test everyone than not to test anyone.

The administrator of a large assisted living facility wanted to know the average age of the residents living at the facility. he randomly selected 12 residents and determined their age, listed here: 80, 65, 75, 83, 68, 73, 88, 79, 94, 72, 79, 68 what's the average age of the sample of residents? a. 79 years old b. 68 years old c. 75 years old d. 77 years old

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

What is the point slope form of a line with slope -5 that contains point (2,-1)