Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
XY = 15 MI.
YZ = 8 mi.
Area = A
A = 1/2 (XY)(YZ)
A = 1/2 (15)(8)
A = 1/2 (120)
A = 60
Since there is no specific situation or measurements for this, we just assume a circle with an arc BD. It has arbitrary values. In a circle, an arc can be measured by the measure of an arc. A measure of an arc is an angle that an arc makes at the center of a circle which it is a part. It has degrees units. It can be calculated when the length of an arc is given by using certain equations. The measure of an arc and the length of an arc always goes together.
Answer:
1) Fail to reject the Null hypothesis
2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Step-by-step explanation:
A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

The results of his tests are:
t-value = -1.05
p-value = 0.305
Degrees of freedom = df = 21
Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05
The rule of the thumb is:
- If p-value is equal to or less than the significance level, then we reject the null hypothesis
- If p-value is greater than the significance level, we fail to reject the null hypothesis.
No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.
Conclusion:
We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Recall that a circle of radius 2 centered at the origin has equation

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius

is

, it follows that the area of a quarter-circle would be

.
You have

, so the definite integral is equal to

.
Another way to verify this is to actually compute the integral. Let

, so that

. Now

Recall the half-angle identity for cosine:

This means the integral is equivalent to