Answer:
65.3%
Step-by-step explanation:
what we want: p(2)+p(3)+p(4)
which equal 65.28%
which rounds to
65.3%
In the diagram, which two angles are alternate interior angles with angle 14?
2 answers:
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Answer:
82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter
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:
Approximately what percentage of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter?
This is the pvalue of Z when X = 5.4 subtracted by the pvalue of Z when X = 4.2. So
X = 5.4
has a pvalue of 0.9842
X = 4.2
has a pvalue of 0.1611
0.9842 - 0.1611 = 0.8231
82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter
Trigonometric Ratios
A right triangle is defined as a triangle that has one interior angle with a measure of 90°.
The trigonometric ratios are defined as relationships between sides and angles on right triangles.
To better explain the required ratio, we'll include the following image that contains the given triangle, as described in the question:
The cosine of the angle T (shown in the figure) is defined as:
The secant of an angle is the reciprocal of the cosine, thus:
The adjacent side to angle T is 77 and the hypotenuse is 85, thus:
Answer:
9
Step-by-step explanation:
If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.
Now, we have to find the value of
and
The tangent of 45 is 1, so 1 squared times 4 is 4.
We have .
Again, the tangent of 45 is 1, and 1 times 5 is 5.
We have
5 + 4 = 9