The mean age of professors at a university is 58.4 years. if a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? a) there is sufficient evidence to support the claim μ-584. b) there is sufficient evidence to reject the claim μ= 58.4. c) there is not sufficient evidence to reject the claim μ-584. d) there is not sufficient evidence to support the claim μ=58.4.

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles. i'm desperate.

Solve the system of equations. y= 2x y= x^2 - 15

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.