Answer: The raw score for Daniel's exam grade is 101.69.
Step-by-step explanation:
For x be any random variable.
Formula for z-score :
, where
= population mean
= population standard deviation.
Let x be the raw score for Daniel's exam grade.
As per given , we have
,
and z= 1.67 , put these values in the above formula , we get

Hence, the raw score for Daniel's exam grade is 101.69.
Answer:
Step-by-step explanation:
Let the scale factor is k.
<u>Then the transformation is:</u>
<u>We have:</u>
<u>The scale factor is k = 12, find the value of a:</u>
- 3a² = 12
- a² = 4
- a = √4
- a = ± 2
Answer: 3 3/4
Step-by-step explanation:
From the question, we are informed that Jerome use 3 1/4 gallons of gasoline while driving from school to his baseball game.
Assuming that he originally had 7 gallons in his car, the amount of gasoline he have left will be:
= 7 - 3 1/4
= 3 3/4 gallons
The answer is -48 because there is a 4/8 difference and that equals -24. Multiply by 2 and you have your answer.
Answer:
g(f(x)) = (x + 9)^2 or x^2 + 18x + 81
Step-by-step explanation:
(gºf)(x) is the "c .... " of two functions f(x) and g(x): f(x) is the input to g(x).
We start with g(x): g(x) = x^2. We replace the first x with f(x) and the second x with x + 9:
g(f(x)) = (x + 9)^2 or x^2 + 18x + 81