Answer:
y = 65
Step-by-step explanation:
45 + 57 = x + y
x = 37
45 + 57 = 37 + y
45 + 57 = 102
102 = 37 + y
102 = 37 + y
-37 -37
102 - 37 = 65
37 + y - 37 = y
65 = y
y = 65
Answer:
0.68
Step-by-step explanation:
The confidence interval would be

.
We use the formula

, where

, with p being the sample proportion and N being the sample size.
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:

This gives us
Answer/Step-by-step Explanation:
4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

Let 

Thus:


5. Given M(3, 5) as midpoint of CD, and C(-1, -1),
let 


Rewrite the equation to find the coordinates of D
and 
Solve for each:












Coordinates of D is (7, 11)
Real numbers are all the rational numbers such as -7 and 4/3 and all irrational numbers. Real numbers are used mainly in counting and are used in measurement which is always present in real-world situations. These numbers help us to quantify things around.