Answer:
Due to the higher z-score, he did better on the SAT.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so 
SAT scores have a mean of 950 and a standard deviation of 155. This means that
.



ACT:
Scored 25, so 
ACT scores have a mean of 22 and a standard deviation of 4. This means that 



Due to the higher z-score, he did better on the SAT.
The answer is,
= 22.5 × 2
= 90 in. squared
Hello there! :)
Answer:
First choice, (x + 2) and (x - 6).
Step-by-step explanation:
To solve for the dimensions, recall that the formula for the volume of a rectangle is:
A = l × w
Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.
2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:
(x + 2) (x - 6). Thus, the first option is the correct answer.
Answer:
40 quarts.
Step-by-step explanation:
Let x =quarts of the 50% solution
so, according to the question
the typical mixture equivalent equation will be like this

so the answer will be 40 quarts of 50% solution should be added.