Math Answers

About 24% of the population claim blue as their favorite color. Suppose a random sample of 56 students were surveyed, and 12 of them said that blue is their favorite color. Test the hypothesis that the color preference of all college students is different from that of the population. Use a 5% significance level.

(a) State the null and alternative hypotheses.

(b) Calculate the test statistic.

(c) Find or estimate the p-value for the test.

(d) State and interpret your conclusion.

This figure is a rectangle with a semicircle on the shorter side. What is the perimeter of this figure? Use 3.14 for pi. 45.84 m 60.84 m 79.68 m 98.52 m

corporation that owns apartment complexes wishes to estimate the average length of time residents remain in the same apartment before moving out. A sample of 150 rental contracts gave a mean length of occupancy of 3.7 years with standard deviation 1.2 years. Construct a 95% confidence interval for the mean length of occupancy of apartments owned by this corporation.

{x | x is a real number such that x4 = 1}

the result of a nationwide aptitude test in mathematics are normally distributed with μ 80 and σ 15. what is the score that divides the distribution such that 99% of the cases is below it

The U.S. Postal Service reports 95% of first-class mail within the same city is delivered within 2 days of the time of mailing. Six letters are randomly sent to different locations.

a. What is the probability that all six arrive within 2 days?

b. What is the probability that exactly five arrive within 2 days?

c. Find the mean number of letters that will arrive within 2 days.

d. Compute the variance and standard deviation of the number that will arrive within 2 days.

The demand for a product, in dollars, is p = 2000-0.2x-0.01x² find the consumer surplus when the sales level is 250

Find the length of cardioid r = 1+sin"\\theta"

Find the area of the region that lies inside the circle r = 3sin"\\theta" and outside the cardioid r = 1+sin"\\theta"

Find the Maclaurin series for the function f(x) = square root of

(x²+2-x)⁵