Step-by-step explanation:
Simplifying 40 = 15 + -9x + -2
Reorder the terms: 40 = 15 + -2 + -9x
Combine like terms: 15 + -2 = 13 40 = 13 + -9x
Solving 40 = 13 + -9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9x' to each side of the equation. 40 + 9x = 13 + -9x + 9x
Combine like terms: -9x + 9x = 0 40 + 9x = 13 + 0 40 + 9x = 13
Add '-40' to each side of the equation. 40 + -40 + 9x = 13 + -40
Combine like terms: 40 + -40 = 0 0 + 9x = 13 + -40 9x = 13 + -40
Combine like terms: 13 + -40 = -27 9x = -27
Divide each side by '9'. x = -3
Simplifying x = -3
Answer:
And replacing we got:
And the best option would be:
65.42 Inches cubed
Step-by-step explanation:
For this case we have the following info given:
represent the height of the cone
represent the radius
And the volume of the cone is given by;
And replacing we got:
And the best option would be:
65.42 Inches cubed
Answer:
standard error = 2.11
Step-by-step explanation:
First we stablish the data that we have for each sample:
<u>Population 1</u> <u>Population </u>2
n₁ = 100 n₂ = 90
x¯1= 95 x¯2 = 75
σ₁ = 14 σ₂ = 15
To calculate the standard error of each sample we would use the formulas:
σ = σ₁/√n₁
σx¯2 = σ₂/√n₂
Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:
σx¯1 - σ x¯2 = √(σ₁²/n₁ + σ₂²/n₂ )
So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):
σ₁² = (14)² = 196
σ₂² = (15)² = 225
Now we can proceed to calculate the standard error of the distribution of differences in sample means:
σx¯1 - σx¯2 = √(196/100 + 225/90) = 2.11
This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.
The area of a pentagon is found through the following formula:
s is equal to the side length.
Plug 12 and 28 into the formula.
A(12) = 247.75
A(28) = 1348.85
Divide the first result by the second result.
≈
9/49 is equal to this decimal.
The answer is
9/49.
Answer:
-4x^3 +x^2+4x-3
Step-by-step explanation: