The height of the rectangular pyramid is 7 ft.
<h3>How to get the height of the rectangular pyramid?</h3>
First, we know that the volume of a rectangular pyramid is given by:
Where B is the base, H is the height.
First, we know that the volume is 56 ft³, and the base is 24ft², then we can replace these two in the volume equation to get:
Solving that for H, we get:
The height of the rectangular pyramid is 7 ft.
If you want to learn more about rectangular pyramids:
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Answer:
x = 14.4
Step-by-step explanation:
Similar means that the figures are proportional to each other. Because of this, we can form a problem. (the short side lengths) =
(the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?
Answer:
a)
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
b)
Now we can find the means for x and y like this:
So the line would be given by:
Step-by-step explanation:
Part a
The correlation coeffcient is given by this formula:
For our case we have this:
n=4
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
Part b
Where:
With these we can find the sums:
And the slope would be:
Now we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by: