Answer:
7.06 x 10^(-7) ft 3
Step-by-step explanation:
We have the formula to calculate the volume of an octagonal Pyraamid as following:
<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
As given, the base of the pyramid is an octagon with area equal to 15mm2
=> Area of the base = 15 mm2
The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.
=> Height = 4mm
So we have:
<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
<em>= 1/3 * 15 * 4 = 20 mm3</em>
<em />
As: 1 mm3 = 3.53 x 10^(-8) ft 3
=> 20 mm3 = 7.06x10^(-7) ft 3
So the volume of the pyramid is : 7.06 x 10^(-7) ft 3
<span>The train will need 5 hours to reach Tennessee</span>
Answer:
(a-f)/6 = r
Step-by-step explanation:
The total Bonnie must pay is the weekend fee plus the hourly rate times the hours worked
Cost = weekend fee * hourly rate* hours
hours = 6
weekend fee =f
hourly rate = r
Cost = a dollars
Substituting in what we know
a = f+ 6r
We want to solve for r
Subtract f from each side
a-f =f-f +6r
a-f = 6r
Divide each side by 6
(a-f)/6 = 6r/6
(a-f)/6 = r
Answer:
The right answer is:
a.H0: μd = 0; H1: μd > 0
Step-by-step explanation:
The claim that want to be tested is that the sales were significantly increased after the commercial, indicanting that the advertisement campaign was effective.
This claim is usually expressed in the alternative hypothesis as it has to have enough evidence to prove that it is true.
Then, the alternative hypothesis H1 should state that the difference (sales after - sales before) is higher than 0.
The null hypothesis would state that the difference is not significantly different from 0, or, in other words, that the sales are the same before and after and that the variation is due to pure chance.
Then, the null hypothesis H0 would state that the difference is equal to 0.
The right answer is:
a.H0: μd = 0; H1: μd > 0
