The answer to this question is b
Answer:
5
Step-by-step explanation:
(use the site M a t h w a y)
If it has to be perpedicular to y = x, then the slope has to be -1/x because perpedicular slope is the opposite reciprocal. Now plug what you know into the point slope formula.
y - 2 = -1/1 (x - 4)
***** Since -1/1 is the same as -1, it can be rewritten as -1. ****************
y - 2 = -1 (x - 4)
Now distribute -1 times x and -4.
y - 2 = -x + 4
Add 2 to both sides to get y by itself.
y = -x + 2
Your answer should be:
y = -x + 2
Angle B is 32 degrees
This triangle is an isosceles triangle so two sides are equal, angle A and angle C are equal so 74+74=148 and then a triangle equals 180 degrees so you subtract the angles of A and C to find B. 180-148=32
The confidence interval is

. This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.
To find the confidence interval, we first find the z-score associated with it:
Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.
We calculate the margin of error using

This means that the confidence interval is

The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85