There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7.5 and the standard de
2 answers:
Answer with explanation:
Total Population Being Surveyed = 324
Mean of the Population = 7.5
Standard Deviation =1.6
Margin of Error is given by the formula
Marginal of Error = 0.17 (approx)
Mean =7.5
Confidence Interval for a population when Z score at 95% is calculated =Mean margin of error
=that is between ,7.50 +0.17 to ,7.50 -0.17
=Between ,7.33 to 7.67
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Finding the equivalent angle of , the correct statements are given as follows:
- The Measure of the reference angle is 45.
.
.
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the given angle is as follows:
It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:
The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:
- The Measure of the reference angle is 45.
More can be learned about equivalent angles at brainly.com/question/24787111
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<h3>Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.