Help me with this math problem! State the domain and range: Use the grid to draw the graph and verify your answer. Be sure to label the scales on your axes to accommodate the numbers in the problem. (You may not use a computer program to draw the graphs for you. The goal is to understand how to select points to draw a graph.)

5. y = x2 + 86
6. y = 2x3 + 8
7. y = 40 - 8x2

Interpret the following expression (5y^2-7)^3/(2y)^2

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.

Ahealth-food producer has 250 samples of a new snack to distribute in the mall. the producer has to keep at least 50 samples for display in the health food for the product launch. how long will the samples last if consumers are taking the samples at a rate of 25 every hour