Ateacher surveyed her class after they had taken a vocabulary test. eighteen of the students claimed they had studied
at least one hour for the test. the remaining twelve students admitted that they had not studied for the test at all. the
test results (expressed as a percent) for the two groups are shown below.

studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

did not study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

which of the following statements are true?

a. the mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.

b. there is no mode of the group that studied.

c. the median of the group that did not study is less than 80.

d. the median of the group that studied is over 95.

e. in general, those students that studied scored much higher than those students that did not study.

C and E are correct

Step-by-step explanation:

We have to calculate mean , median and mode for both groups first:

So,

For the group that studied:

Mean = 92.61

Median=93.5

Mode = 100

For the group that didn't studied:

Mean = 76

Median = 79.5

Mode = No Mode

So,

For statement A:

the difference between means is: 92.61-76=16.61

So the statement is incorrect.

B: There is no mode of the group that studied.

This is not true as the group has a mode of 100

C.The median of the group that did not study is less than 80.

This is true as the median of the group that didn't study is 79.5.

D. The median of the group that studied is over 95

False as the median is less than 95.

E. In general, those students that studied scored much higher than those students that did not study.

As the mean of the group that studied is much more than the group that didn't study so the statement is true ..

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )