Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 6. the teacher wishes to give a's to the top 5% of the students and f's to the bottom 5%. the next 15% in either direction will be given b's and d's, with the other students receiving c's. find the bottom cutoff for receiving an a grade. (you may need to use the standard normal distribution table. round your answer to the nearest whole number.)

84.87

Step-by-step explanation:

Let X be the Math score of the mathematics class referred

Then given that X is N(75,6)

Or is N(0,1)

For z score top 5% cut off score is from 1.645

Corresponding X score can be calculated from this

Whoever got about 84.87 will be given A grade.

the bottom cutoff for receiving an A grade.

=84.87

yo answer should be 6 if im not mistaken

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt