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Joshua is putting in a new circular shaped fire pit in his backyard. The diameter of the fire pit is 4 feet. What area of the ba
1 answer:
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Answer:
Part 1)
Bob's mistake was to have used the cosine instead of the sine
The measure of the missing angle is
Part 2) The surface area of the pyramid is
Step-by-step explanation:
Part 1)
Let
x----> the missing angle
we know that
In the right triangle o the figure
The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle
Bob's mistake was to have used the cosine instead of the sine
Part 2) we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
where
b is the length side of the square
h is the height of the triangular lateral face
In this problem
-------> by an 45° angle
so
Find the value of b
Find the surface area
Answer:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is
Step-by-step explanation:
For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:
Null hypothesis:
Alternative hypothesis:
And the statistic is given by:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is
.