The test grades of a science class are given. 78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89 the grades are normally distributed with a mean of 81.5 and a standard deviation of 9.3. what is the z-score of the highest grade in the test? round the answer to the nearest hundredth.

1.77

Step-by-step explanation:

Given : The test grades of a science class are given.

78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89

The grades are normally distributed with a mean and a standard deviation .

let x be any random variable represents the test grades of a science class.

Formula for z-score:-

The highest score= 98

Then , the z-score of the highest grade in the test will be :-

Hence, the z-score of the highest grade in the test =1.77

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: