Answer:
See proof below
Step-by-step explanation:
If C is the midpoint of AB, then AC = CB
Given
AC=7x−10;
CB=3x+10
Then 7x - 10= 3x+10
Add 10 to both sides
7x-10+10 = 3x +10+10
7x = 3x + 20
7x - 3x = 10+10
4x = 20
x = 20/4
x = 5
Get AC
AC = 7x - 10
AC= 7(5) - 10
AC = 35-10
AC = 25 (Proved)
4.

5.

doesn't belong with the other three because it is irrational number
The other three can be expressed as a ratio between two <span>integers.

</span>
Answer: 1.645
Step-by-step explanation:
Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.
Let
represents the variance for 16 OZ bottles and
represents the variance for 12 OZ bottles.
The Null and Alternative Hypothesis will be :-

, since alternative hypothesis is left-tailed , then the test is left-tailed test.
By using the standard normal distribution table for z, the critical value for this hypothesis:-

12345678
23456789
34567890
45678901
56789012