Answer:
12x+16
~Grouping~
12+16
4(3+4)
~Solution~
4(3+4)
Step-by-step explanation:
Hope that helps!!! :)
11.5% × 350 =
(11.5 ÷ 100) × 350 =
(11.5 × 350) ÷ 100 =
4,025 ÷ 100 =
40.25
Answer:
The standard deviation has changed for the worse
Step-by-step explanation:
We need to compare the sample standard deviation of 52.3 to the known population standard deviation of 43.7. The test we will use will use Chi-Square distribution...
The hypothesis for this test are...
H0: σ = 43.7
Ha: σ ≠ 43.7
This is a 2 tailed test.
We have n = 81
s = 52.3
s² = 52.3² = 2735.29
σ = 43.7
σ² = 1909.69
The degrees of freedom are: n - 1, in this case, 80
Our significance level is 95%, so our critical values are
Χ² < 57.153 and Χ² > 106.629
The test static is found with the formula:
Χ² = [(n - 1)s²]/σ²
Plug in what we have and find the test stastic....
Χ² = [80(2735.29)]/1909.69
Χ² = 114.586
114.586 > 106.629, we reject the null hypothesis. There is evidence that shows that the standard deviation has changed. The evidence suggests that it has increased, which would make the new method worse than the old method.
For this case what you should do is create the equation based on:
"She knows that the volume of the container is equal to one-third of the product, the square of the radius of the base of the container, and the height of the container"
We have then that the Volume is given by:
V = (1/3) * (r ^ 2) * (h)
where,
r: radius of the base.
h: height of the container.
answer
The volume of the container is calculated with the following equation:
V = (1/3) * (r ^ 2) * (h)
Answer:
AC = 10
Step-by-step explanation:
Formula
(x + 1) + (x + 3) + 2x = 40 Remove the brackets
Solution
x + 1 + x + 3 + 2x = 40 Collect like terms
4x + 4 = 40 Subtract 4 from both sides
4x +4 -4 = 40 - 4 Combine
4x = 36 Divide both sides by 4
4x/4 = 36/4
x = 9
AC = x + 1
AC = 9 + 1
AC = 10