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Answer:
Hypothesis Testing:
Manufacturer claims that the average of time their mosquito repelllent is effective is at least 3.5hrs l.e μ ≥ 3.5hrs
Step-by-step explanation:
<u>ANSWER</u>
The zeros are 
EXPLANATION
Given;
.
We can rewrite the function as



The zeros are found by equating the function to zero.


The multiplicity is 1, since it is odd the graph crosses at this intercept. which is 
Or

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is 
Or

This last root has a multiplicity of 2.
That is
repeats two times.
Since the multiplicity is even, the graph touches the x-axis at the point
.
See graph.
One Answer: Choice C) 0 < x < 1
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Explanation:
Let's go through the answer choices one at a time.
- Choice A represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.
- Choice B is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.
- In contrast, choice C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.
- Choice D is false because choice C was shown to be true.
The first stone will be 10-in wide
The last stone will be 10-in wide
The stones in the middle will be alternating between 5-in and 10-in stones, making a total of 15-in
Total width = 145-in
Width after placing first and last stones = 145 - 20 = 125-in
Number of 15-in patterns incorporated in 125-in:
125/15 = 8.33
Therefore, he will place 8 10-inch stones within and 9 5-inch stones within the patter.
The total 10-inch stones used = 8 + 2 = 10