Answer:
2.28% of tests has scores over 90.
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:
What proportion of tests has scores over 90?
This proportion is 1 subtracted by the pvalue of Z when X = 90. So
has a pvalue of 0.9772.
So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.
Answer:
56 inches!
Step-by-step explanation:
Rectangles ABCD and EFGH are concentric, that means that they are almost the same but their sides have a different ratio.
First, lets find the area of EFGH.
1). Area of EFGH = a * b = 4 * 6 = 24 inches
Then we will find the area of ABCD.
2). Area of ABCD = a * b = 10 * 8 = 80 inches.
Now we know the areas of the rectangles, we can find the area of the un-shaded part.
3). Area of ABCD - Area of EFGH = 80 - 24 = 56 inches
So, 56 inches will be your answer.
Hope this helps))) ^‿^
Let's say, the total sales is "x"... .so hmm on Plan A, he gets 350 plus 7% of "x", well, 7% is just (7/100) * x or 0.07x
now, on Plan B, he gets 436 plus 5% of "x", 5% of "x" is (5/100) * x, or 0.05x
he's better off with A, only if A is greater than B, namely,
A > B
and surely you know how much that is.
Answer:
y=-5x+2
Step-by-step explanation:
rise/run
or
y2-y1/x2-x1
-8-(-3)/2-1
-8+3/2-1
-5/1=m=slope
Slope intercept formula:y=mx+b
use point (1,-3)
-3=-5(1)+b
-3=-5+b
+5 +5
2=b
Final Answer: y=-5x+2
