A researcher reports that the average salary of assistant professors is more than $42,000. A sample of 30 assistant professors has a mean salary of $43,260. At α = 0.01 test the claim that assistant professors earn more than $42,000 a year. A standard deviation of the population is $5230. Traditional Method. (a) Identify the null and alternative hypotheses for this test.
(b) Identify the test statistic for this hypothesis test
(c) Accept or Reject the claim

If value of cos330° is √3/2 then find tan165°.

What is the the greatest common factor ?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.