D. The point where the perpendicular bisectors of the three sides of the triangle intersect.
Answer:
-7 and -1
Step-by-step explanation:
-7x-1=7
-7-1=-6
Answer:
5956 ft
Step-by-step explanation:
If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.
The definition of the tangent function tells us ...
tan(A) = BT/AB
Solving for AB, we find ...
AB = BT/tan(A) = (1452 ft)/tan(13.7°)
AB ≈ 5956 ft
The skyscrapers are about 5956 feet apart.
Answer:
15.74% of women are between 65.5 inches and 68.5 inches.
Step-by-step explanation:
Problems of normally distributed samples can be 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 percentage of women are between 65.5 inches and 68.5 inches?
This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.
X = 68.5



has a pvalue of 0.9987
X = 65.5



has a pvalue of 0.8413
So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.