Answer:

Step-by-step explanation:
Slope Formula: 
Points: (-2, 8), (1, 2)


Answer:
25
Step-by-step explanation:
Answer:
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let X the random variable that represent the Student scores on exams given by a certain instructor, we know that X have the following distribution:

The sampling distribution for the sample mean is given by:
The deduction is explained below we have this:
Since the variance for each individual observation is
then:
And then for this special case:
We are interested on this probability:
And we have already found the probability distribution for the sample mean on part a. So on this case we can use the z score formula given by:
Applying this we have the following result:
And using the normal standard distribution, Excel or a calculator we find this:
Step-by-step explanation:
Any lines that are parallel to each other have the same slope (coefficient of x is the same)
In this case, y = 2x + c.
Since it includes the point (0, 1), the y-intercept is 1 and that is c itself.
Hence, the equation of the parallel line is y = 2x + 1.
Answer: 11
Step-by-step explanation:
If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?
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# of days are inversely related to # of workers and directly related
to # of houses.
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d = kh/w
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Solve for "k" using "15 workers can paint 18 houses in 24 days"
24 = k*18/15
k = 15*24/18 = 15*(4/3) = 20
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Equation:
d = 20h/w
---
Solve: How many days will 40 workers take to paint 22 houses?
d = 20*22/40
d = 11 days