Answer:
y = x
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-8 - 0) / (-8 - 0)
-8 / -8
= 1
So, the slope is 1.
Plug in the slope and a point into y = mx + b and solve for b:
y = mx + b
-8 = 1(-8) + b
-8 = -8 + b
0 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 1x + 0
y = x
So, the equation of the line is y = x
Answer:
277/10000
Step-by-step explanation:
Answer:
Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.
Step-by-step explanation:
This is the general idea to solve the problem.
Suppose that the mean and variance of the your distribution are .
respectively. Then, according to the problem you are looking for the probability.

Consider then the following random variable.

Using the central limit theorem
distribution will be close to normal, and its mean and variance will be
, respectively. Therefore you just have to find the probability that a normally distributed random variable with that mean and that variance which I just mentioned is less than 14.
For this case we have that

Then you have that

and we have that if
is a normally distributed random variables with mean 280 and variance 70 we have that

the actual probability we are looking for is

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.
Answer:
5.8%
Step-by-step explanation:
4 L = 4,000 mL
232 mL/ 4000 mL = .058 = 5.8%
The discount would be $4.32, and the total after the discount would be $19.68.