Answer:
50°, 130°
Step-by-step explanation:
All measures are in degrees. Let x represent "one angle". Then the other is (180-x) and we can write the relation ...
3x = 20 +(180 -x)
4x = 200 . . . . . . . add x, collect terms
x = 50 . . . . . . . . . . one angle
180 -50 = 130 . . . .the other angle
The measures of each angle are 50° and 130°.
Answer:
H | ab
Step-by-step explanation:
The area of any trapezoid is
Area = (1/2) x (height) x (one base + the other base) .
Take that formula and write in the numbers you know:
(24 m²) = (1/2) x (height) x (5m + 7m)
(24 m²) = (6m) x (height)
Divide each side by 6m :
Height = (24 m² / 6m)
= 4 m .
Answer:
14.63% probability that a student scores between 82 and 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 is the probability that a student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90



has a pvalue of 0.9649
X = 82



has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90