20.5 is his hourly pay rate
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:

The standard deviation
is:

The Z-score is:

We seek to find

For P(x>800) The Z-score is:



The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

For P(x<200) The Z-score is:



The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Therefore



Answer:
The slope of the line is 2.
Step-by-step explanation:
Slope of a line:
Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.
In this question:
Points (0,0) and (1,2)
Change in y: 2 - 0 = 2
Change in x: 1 - 0 = 1
Slope: 
The slope of the line is 2.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ABC
we know that
The triangle ABC is a 
so
Is an isosceles right triangle
The legs are equal
therefore
AC=AB

step 2
Find the length side BC
Applying the Pythagorean Theorem]



step 3
Find the value of y
In the right triangle BCD
----> by SOH (opposite side divided by the hypotenuse)

Remember that

so

step 4
Find the value of z
In the right triangle BCD
----> by CAH (adjacent side divided by the hypotenuse)

Remember that

so

Answer:
Step-by-step explanation:
The slope is 3/4