Answer:
35.5 pounds or less
Step-by-step explanation:
99.7% is a z score of 2.75
(x - 30)/2 = 2.75
x - 30 = 5.5
x = 35.5
The answer is 25n because force= mass times acceleration
Answer:
8 (19) or 8 (18 +1)
Step-by-step explanation:
Distributive property means to distribute.
HCF of 144 and 8.
=> 8 is the HCF of 144 and 8
8 (18 + 1)
=> 8 (19)
The equation of the line that is parallel to the given line and passes through the point (-2,2) is:
![y = \frac{x}{5} + \frac{12}{5}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B5%7D%20%2B%20%5Cfrac%7B12%7D%7B5%7D)
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:
m = (-3 - (-4))/(0 - (-5)) = 1/5.
Hence the equation is:
![y = \frac{x}{5} + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B5%7D%20%2B%20b)
When x = -2, y = 2, then:
![y = \frac{x}{5} + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B5%7D%20%2B%20b)
![2 = \frac{-2}{5} + b](https://tex.z-dn.net/?f=2%20%3D%20%5Cfrac%7B-2%7D%7B5%7D%20%2B%20b)
![b = \frac{12}{5}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B12%7D%7B5%7D)
Hence:
![y = \frac{x}{5} + \frac{12}{5}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B5%7D%20%2B%20%5Cfrac%7B12%7D%7B5%7D)
More can be learned about linear equations at brainly.com/question/24808124
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