ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points

A. What is the probability a randomly selected score is greater than 30.4?

B. what is the probability a randomly selected score is less than 32.8?

C. What is the probability a randomly selected score is Between 25.6 and 32.8?

a.   0.1587

b.  0.8849

c.  0.1814

Step-by-step explanation:

a. Given that

-The probability a randomly selected score is greater than 30.4 is calculated as:

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that

The probability a randomly selected score is less than 32.8 is calculated as:

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

Hence, the probability is 0.1814

-5, your answer was correct

it is rigid.; it is isometric. ; the size is preserved.

step-by-step explanation:

a translation is called an isometry; these are transformations that preserve congruence between pre-images and images.

they are also called rigid transformations, as the only thing that can happen to a pre-image is that it is moved or turned, not stretched or shrunk.

since congruence is preserved, the size is preserved.