<u>m = 6a + 9ak</u>
On the right side, factor ' 3a ' from the expression:
m = 3a (2 + 3k)
Divide each side by (2 + 3k)
m / (2 + 3k) = 3a
Divide each side by 3 :
<em>m / 3(2 + 3k) = a</em>
Answer
A- 22 square units
B- 28 square units
C- 18 square units
Step-by-step explanation:
A. You can break it up into 3 different rectangles
(1*2)+(2*4)+(2*6)=22
B. You can first start by finding the area then subtracting the the places where it is not covered.
So the area of the whole square is 6*6=36
Now you can subtract the small squares 2*2=4.
This will be put 2 times as there are two small squares.
So you will subtract 8 square units from 36.
36-8=28
C- You can decompose C into a triangle and a rectangle.
The area of a triangle is 1/2*width*height. When you plug the dimensions in you get 1/2*6*2=6 square units.
Now to find the rectangle. The formula is width*length. Plug the dimensions in and you get 2*6=12 square units.
Just add those two together and you get 18 square units.
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:

(-6,26) are the coordinates of the other endpoint because it it the same distance from the midpoint in the opposite direction of the other endpoint
Answer:
X = 78, Z = 29, and Y = 102
Step-by-step explanation:
X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.
Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.
Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.
Hope that helps!