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.
<u>Slope</u>
y = ⁸/₉x - 3¹/₃
The slope is ⁸/₉.
<u>Y - Intercept</u>
y = ⁸/₉x - 3¹/₃
y = ⁸/₉(0) - 3¹/₃
y = 0 - 3¹/₃
y = -3¹/₃
The y-intercept is -3¹/₃
The answer is C.
The vendor sold 124 sodas and 90 hot dogs.
Step-by-step explanation:
Let,
x be the number of sodas.
y be the number of hot dogs.
Total sold = 214
According to given statement;
x+y=214 Eqn 1
y= x-34 Eqn 2
Putting value of Eqn 2 in Eqn 1;

Dividing both sides by 2;

Putting x=124 in Eqn 2;

The vendor sold 124 sodas and 90 hot dogs.
Keywords: linear equations, substitution method
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Answer:
Step-by-step explanation:
To circumscribe a circle to a given triangle implies constructing a circle outside the triangle, so that it touches the three vertices of the given triangle externally.
The step requires bisecting two sides of the triangle so as to locate the center of the circle. Then with the center and one of the edges, draw a complete circle. The circles should be outside the triangle and passing through its three vertices.
The construction is as shown in the attachment to this answer.