Te shelf life (duration until the expiration date in months) of certain ointment is known to have a normal distribution. a sample of size 120 tubes of ointment gives x = 36.1 and s = 3.7.

a. construct a 95% confdence interval of the population mean shelf life.

b. suppose a researcher believed before the experiment that 4 σ = . what would be the required sample size to estimate the population mean to be within 0.5 month with 99% confdence?

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Solve the equation using the zero-product property. -3n(7n - 5) = 0 a. 0, -5/7 b. -1/3, -5/7 c. -1/3, 5/7 d. 0, 5/7

Is the power produced directly proportional to the wind speed, give reasons for your answer?