Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
Answer:
30 CDs and 10 Videos were sold.
Step-by-step explanation:
Given that a used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at 4.00 per CD and 6.00 per video.
The sales for both CDs and videos totaled to 180.00.
Let CDs be x and Videos be y
Then we have x+y =3040
and 4x+6y = 180
Two simultaneous equations in two variables and can be solved by elimination method
multiply I equation by 4 and subtract from II.
2y = 20
y =10
x = 30
30 CDs and 10 Videos were sold.
-5/11 is what I got with a fraction calculator.
Answer:
2.28% probability that a person selected at random will have an IQ of 110 or higher
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 is the probability that a person selected at random will have an IQ of 110 or higher?
This is 1 subtracted by the pvalue of Z when X = 110. So
has a pvalue of 0.0228
2.28% probability that a person selected at random will have an IQ of 110 or higher