Answer:
a) Null and alternative hypothesis:

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:

Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
A. 7/4
Rate of change is the same as slope, it is how the line has to go to get from the first to the second point. The slope function is y2-y1 / x2-x1. So we end up with 8-1/5-1 making 7/4
Answer:
Width = 
Step-by-step explanation:
All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.
Area = length * width
We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.
(c^2 - 4x - 12) = (x + 2) * w
(c^2 - 4x - 12) = w(x +2)
Divide both sides by (x+2) so w can stand alone.

w = 
Answer:
5 is congruent by HL this is because both have a right angle and a congruent side
6 you do not have enough information.