Answer:
<u>z = -4</u>
Step-by-step explanation:
<u>Given</u> :
- x = -2
- y = -5
- z divides xy in the ratio 2 : 1 (m : n)
<u>Solving</u> :
- Take the section formula
- z = [my + nx] / [m + n]
- z = [2 x -5 + 1 x -2] / [2 + 1]
- z = -10 - 2 / 3
- z = -12 / 3
- <u>z = -4 </u>
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
I would say A. Or D. Because the yellow has 18 which is greater than 16 and 15.
Answer: A. Mean of sampling means 
Standard deviation of sampling means =
B. The probability that your sample has mean less than 165 is 0.1492 .
Given : The distribution of blood cholesterol level in the
population of young men aged 20 to 34 years is close to normal with
mean
Mg/dl and standard deviation
mg/dl.
Sample size : n= 150
Let
sample mean values.
A. The mean and the standard deviation of the distribution of the sampling means would be :
Mean of sampling means =
Standard deviation of sampling means = 

The probability that your sample has mean less than 165 would be

Hence , the probability that your sample has mean less than 165 is 0.1492 .
Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x = 
Therefore, Perimeter = 2(a + x) = 2(a +
) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.