Answer:
Base = 18 inches
Height = 54 inches
Step-by-step explanation:
The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?
The area of a parallelogram is given as:
Base × Height
Height = h = 3b
Area = 972 square inches
We substitute
972 = b × 3b
972 = 3b²
Divide both sides by 3.
b² = 972/3
b² = 324
b = √324
b = 18 inches
Solving for h
h = 3b
h = 3 × 18
h = 54 inches
Therefore,
Base = 18 inches
Height = 54 inches
Answer:
Pyramid Volume = (Area of Base * Height) / 3
height = side
Pyramid Volume = (side * side * side) / 3
Pyramid Volume = (side ^ 3) / 3
That's the answer. I don't know which of your answers equals that.
Pyramid Volume formula located here: http://www.1728.org/volpyrmd.htm
Step-by-step explanation:
The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)
<h3>How to determine the factors?</h3>
The expression is given as:
x^3 + 4x^2 +5x + 20
Group the expression into two
(x^3 + 4x^2) + (5x + 20)
Factorize each group
x^2(x + 4) + 5(x + 4)
Factor out x + 4
(x^2 + 5)(x + 4)
Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)
Read more about expressions at:
brainly.com/question/723406
#SPJ1
Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Step-by-step explanation:
Information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, the statistic is given by
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
![\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B10%7D%7B100%7D%5Ctimes%2020%5C%5C%5CRightarrow%20%5C%242)
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
![\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B15%7D%7B100%7D%5Ctimes%2020%5C%5C%5CRightarrow%20%5C%243)
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = <em>$25</em>