Answer:
117 pages
Step-by-step explanation:
114 + 3 = x
x = 117
Answer:
a) Add 4 to both sides, and then divide by 2. The solution is
.
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:

We need to determine the steps in order to solve for
.
Solving for
.
Step 1: Adding 4 both sides.


Step 2: Dividing both sides by 2.

∴ 
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12
Answer:
What is the sample variance of bottle weight 2.33
Step-by-step explanation:
First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.
Mean = (4+2+5+4+5+2+6) / 7
= 28 / 7
= 4
Sample Variance = ![\frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%284-4%29%5E%7B2%7D%20%2B%282-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%284-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%282-4%29%5E%7B2%7D%20%2B%5C%5C%286-4%29%5E%7B2%7D%5Cend%7Barray%7D%5Cright%5D%7D%7B7-1%7D)
=
= 2.33
Add 11.7 and 2. The answer is 13.7 (quarts).
Answer:
1
Step-by-step explanation:
-1 to the power of 2 is 1
1 times 3 is 3
2 times -1 is -2
3+(-2)=1