# MCQs Mathematics homework help

__Questions __

A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students is

A. 10

B. 15

C. 2100

D. 8

__Questions __

Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C and D are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and E may be arranged is

A. 5!

B. 3!

C. 2!

D. 3! * 2!

__Questions __

The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation become

A. mean = 15 , standard deviation = 6

B. mean = 10 , standard deviation = 6

C. mean = 15 , standard deviation = 1

D. mean = 10 , standard deviation = 1

__Question__

The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane’s score is 0.8 standard deviation above the mean, then how many, to the nearest unit, students scored above Jane?

A. 394

B. 250

C. 400

D. 106

__Question__

If f(x) is an odd function, then | f(x) | is

A. an odd function

B. an even function

C. neither odd nor even

D. even and odd

__Question__

The period of | sin (3x) | is

A. 2 pi

B. 2 pi / 3

C. pi / 3

D. 3 pi

__Question__

When a metallic ball bearing is placed inside a cylindrical container, of radius 2 cm, the height of the water, inside the container, increases by 0.6 cm. The radius, to the nearest tenth of a centimeter, of the ball bearing is

A. 1 cm

B. 1.2 cm

C. 2 cm

D. 0.6 cm

__Question__

The period of 2 sin x cos x is

A. 4 pi^{ 2}

B. 2 pi

C. 4 pi

D. pi