Answer:
16
Step-by-step explanation:
First, simplify by finding the absolute values:
2|-9| - |-2|
2(9) - (2)
Then, simplify this by multiplying 2 and 9:
18 - 2
= 16
So, the answer is 16
Answer:
a) He needs to consume 600 kcal from protein.
b) 22 kcal come from fat.
Step-by-step explanation:
a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.
We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.
2400 (.25) = 600
Lee needs to consume 600 kcal from protein.
b) A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?
We are going to solve this in a similar way.
We should multiply the total amount of kcal by .15 which is the amount of fat calories.
220 (.15) = 33
33 kcal come from fat.
Answer:
The correct option is D.
Step-by-step explanation:
The linear regression equation is in the form of

Where,


The formula of r is
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%28%5Csum%20x%5E2%29-%28%5Csum%20x%29%5E2%5D%5Bn%28%5Csum%20y%5E2%29-%28%5Csum%20y%29%5E2%5D%7D%7D)
The values are

Using above formula, we get

Therefore option D is correct.
Complementary angles, sum = 90
So 3y - 4 + 73 = 90
3y + 69 = 90
3y = 21
y = 7
Answer
y = 7