Math Answers

Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed.

A town has a population of 15000 and grows at 4.5% every year. To the nearest year, how long will it be until the population will reach 35900?

A new car is purchased for 22300 dollars. The value of the car depreciates at 10.25% per year. What will the value of the car be, to the nearest cent, after 6 years?

Find the relative extrema using both first and second

derivative tests. f(x) = sin 2x, 0 < x < π

Fractions (Answers should be in simplest form)

1 ¹/² + ¾ =

The mean of marks in Statistics of 100 students of a class was 72. The mean of marks of boys was 75 , while their number was 70. Find out the mean marks of girls in the class.

The heights of persons with No. of persons is given , Heights (in Cm ): 58, 59, 60, 61, 62, 63, 64, 65 and No. of persons : 10, 18, 30, 42,35, 28, 16, 8 .

Find Karl Pearson's coefficient of correlation.

In a sample of 1000 cases, the mean of a certain test is 14 and S.D is 2.5. Assuming the distribution to be normal, find

(1) how many students score between 12 and 15?

(2) How many score above 18?

(3) how many score below 8?

(4) how many score 16?

Differentiate the following functions. Show step by step solution and

Indicate your final answer.

1. X = 1/t

2. y = 4x²– 3x – 2

3. y = (x+2) ^1/2

) East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity?

X-coordinate

Y-coordinate

Volume

Athens, Texas

30

30

150

Beaumont, Texas

20

10

350

Carthage, Texas

10

70

100

Denton, Texas

50

50

200