Math Answers

Find the area of the surface generated by revolving the curve y=√25-x², from x = - 2 to x = 3 , about the x-axis.

Find the length of the arc with the curve

y = 2x ^ (3/2) between x = 1/3 and x = 7

The two important parameters that best describe the normal curve are the ____ and the _________

The grade of students are normally distributed with mean of 75 and the standard deviation of 5.

a) How many percent of student took the grade between 70 and 80?

b) How many percent of student took the grade between 65 and 85?

c) How many percent of student took the grade between 60 and 90?

d) How many percent of student took the grade less than 70?

e) How many percent of student took the grade between 60 and 80?

f) How many percent of student took the grade greater than 90?

g) How many percent of student took the grade between 65 and 75?

h) How many percent of student took the grade between 70 and 85?

The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?

A population consists of three numbers (3,6,9).Consider all possible samples of size n=2 which can be drawn WITHOUT REPLACEMENT from the population.

Questions to be answered:

Population mean

Population variance

Population standard deviation

Mean of the sampling distribution of the means

Variance of the sampling distributionof the means

Standard deviation of the sampling distribution of the means

the total mass of 8 packets each of same size is 42kg 400gm What is the mass of each such packet?

An unstretched spring is 10 ft long. A pull of 40 lb stretches the

spring by ½ ft. Find the work done in stretching the spring from

10 ft to 14 ft.

mathematics written work are normally distributed with a mean of 23 and standard deviation of 9. describe the sampling distribution of 15 students who are normally from this population

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

10. You take a sheet of paper and tear it in half, then place the two2 pieces of paper on top of one another and tear them in half. This process yields four pieces of , paper. You place them on top of one another and tear them i half again. Imagine continuing this process through 22 such tears. How many layers are now in the pile of paper?

11. Pilar has six daughters and no son. Some of her daughters have six daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, but she has no great-granddaughters. How many of Pilar's daughters and granddaughters. have no daughters?

12. On a balance scale, two spools and one thimble balance eight buttons.Also, one spool balances one button. How many buttons will balance one spool?