Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of a horizontal line is equal to the y-coordinate of the point that passes through it
In this problem we have

This is a horizontal line (parallel to the x-axis)
The slope of this line is equal to zero
so
All points that pass through the line will have the same y-coordinate equal to -5
see the attached figure to better understand the problem
<u>Answer:</u>

<u>given:</u>
- adjacent side: 10
- hypotenuse side: 20
<u>using cosine rule:</u>




Answer:
2
Step-by-step explanation:
Average Rate of Change: 
Step 1: Define variables
f(b) = 5
f(a) = 3
b = 2
a = 1
Step 2: Plug into formula
(5 - 3)/(2 - 1)
2/1
2
Answer:
1967.89 mm
Step-by-step explanation:
I've drawn my explanation, hopfully it's readable! Ask further questions if you don't understand! Cheers!
Answer:
The 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
Step-by-step explanation:
A (1 - <em>α</em>)% confidence interval for true mean (<em>μ</em>), when the population standard deviation is known is:

If the population standard deviation is not known, then the confidence interval for true mean is:

A 95% confidence interval for true mean is an interval estimate of the population mean. The interval has 0.95 probability of consisting the true value of the population mean.
It is provided that the 95% confidence interval for mean, based on a sample of size 30 is ($3402.08, $4142.75).
This interval implies that the true mean value is between $3402.08 and $4142.75 with 95% confidence.
Thus, the 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).