Answer:
a) 6.68th percentile
b) 617.5 points
Step-by-step explanation:
Problems of normally distributed samples are solved using 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.
In this problem, we have that:
a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.
has a pvalue of 0.0668
So this student is in the 6.68th percentile.
b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.
He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.
Answer:
Step-by-step explanation:
y = -2
4x - 3y = 18
4x - 3(-2) = 18
4x + 6 = 18
4x = 12
x = 3
(3, -2)
<span>If you had a check that you don't have sufficent funds for that has been run through the bank the bank will usually charge you an overdraft fee. This means that you have arranged an overdraft loan/agreement with the bank. The bank will go ahead and pay the fund to the person or company you wrote the check to. You will have a certain amount of time to put the money back into your account and pay the overdraft fee. Many banks will give you 24 hours to cover the check before they charge you a fee. The fee is usually around $25 dollars, but could be more depending on your bank rules. </span>
The value of the given expression is 1/16
<h3>Exponential functions</h3>
Given the exponential function below as shown;
(1/2)^4
This means the product of 1/2 in 4 places. This can be expressed as;
(1/2)^4 = 1/2 * 1/2 * 1/2 *1/2
(1/2)^4 = 1/4 * 1/4
(1/2)^4 =1/16
Hence the value of the given expression is 1/16
Learn more on exponent here: brainly.com/question/725335
#SPJ1
Find the common denominators. for the miles 5 and 3 go into 15. so 2/5 times 3 is 6/15. and 2/3 times 5 is 10/15. for the hours 5 and 9 go into 45. 1/5 times 9 is 9/45. and 2/9 times 5 is 10/45. so Susan ran 6/15 of a mile in 9/45 of an hour. and Kim ran 10/15 of a mile in 10/45 of an hour.
so Kim ran 3 miles in an hour. Susan ran 2 miles in an hour.
