Math Answers

find the order and degree of the following differential equation d^3*y/dx^3+6*(d^2y/dx)+11*(dy/dx)+6y=0

A researcher wants to take a random sample of size 40 of a certain population with a mean of 23.5 and a variance of 18.49. What is the approximate standard deviation of sample means?

Find the surface area of that part of the plane 4𝑥+5𝑦+𝑧=8

4x+5y+z=8 that lies inside the elliptic cylinder (x²/100) + (y²/81) =1

An emergency service wishes to determine whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown.

Temperature (x) - 25 10 27 30 33

No. of calls (y) - 7 4 8 10 11

a) Find the correlation coefficient r

b) Find the regression equation

c) Graph the regression equation.

The list gives the durations, in years, of the top 20 longest-running Canadian television shows.

18 20 38 19 22 23 23 27 36 18 18 18 20 25 18 24 24 33 25 25

Construct a stem-and-leaf plot.

Sam has 6 rose bushes. He counted the flowers on each of them. There are 8, 2, 5, 4, 11 and 9. Find the Standard Deviation. Is 25 a “Usual” number of flowers?

For the set of data below, determine the 5 number summaries. Construct the resulting box and whisker plot.

5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 5

A survey on a gender and ear piercing for a large group of college students shows that19 out of 90 males and 84 out 88 females have ear piercings. What is the probability that from this sample, a student selected is a male with ear piercing? *

A certain population has a mean of 20 and a standard deviation of 8. Sample size 16 are taken for the purpose of sampling distribution. What is the expected value of all these sample means?

A shipment of five computers contains two that are defective. If a retailer receives three of these computers at random, list the elements of the sample space S using the letter D and N for detective and non-defective computers, respectively . To each sample point assign a value x of the random variable x representing the number of computers purchased by the retailer which is detective.