Answer:
37.5% are male
62.5% are female
Step-by-step explanation:
in total 120 teachers (45 male+75 female)
therefore:
for male
120 - 100%
45 - x% (we need to find x)
by using the butterfly method (or cross multiply) we get:
120x=100*45
x=4500/120=37.5% (male teachers)
we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)
120x=100*75
x=7500/120=62.5%
Answer:
1.
25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.
2. I expect the company to reject 11 of them because 25-36 = 11
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
9 15
------ = ----------
2x-1 3x
Using cross products
9*3x = 15(2x-1)
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x -15
-3x = -15
Divide by -3
-3x/-3 = -15x/-3
x = 5
Remark
The closest answer is D, but the answer has to be rewritten: f(x) = - 2/3 (6)^(x - 1) where x is 1,2,3,4,5,6 .... to plus infinity. If that is not what you are given, there is no answer.
Discussion
The minus sign is misplaced. There are 2 reasons.
1. When x is odd, then the minus sign is not there and every other term will be plus.
2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be -2/3. (-6)^0 power is 1 not -1
Answer: There is no answer, but you could try C if D does not work.
Answer:
2/3
Step-by-step explanation:
use the slope formula: m=y2-y1/x2-x1
