The volume of a cone is 1/3Bh. The base is pi times the radius squared, so the base is 16 pi. 32 pi = 1/3 • 16 pi • h. 32 pi = 16/3 pi • h. Divide 32 pi by 16/3 pi to find the height, which equals 6.
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Answer:
8
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
(2x +7) = (1/2)(78 -32)
2x +7 = 23 . . . . . simplify
2x = 16 . . . . . . . . subtract 7
x = 8 . . . . . . . . . . divide by 2
Answer:
Impossible, they add up to 169 degrees,
Step-by-step explanation:
Answer:
<u>The standard error of distribution for n = 4 is 5 and for n = 25 is 2.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Population mean = 72
Standard deviation = 10
Sample₁ = 4
Sample₂ = 25
2. For finding the standard error of the mean, we use the following formula:
Standard error = Standard deviation / √Size of the sample
Standard error for Sample₁ = 10/√4
<u>Standard error for Sample₁ = 10/2 = 5</u>
Now, let's find the standard error for Sample₂
Standard error for Sample₂ = 10/√25
<u>Standard error for Sample₂ = 10/5 = 2</u>
Answer:
<h2>All three functions have a y-intercept.</h2>
Step-by-step explanation:
The table is attached, there you can observe functions f(x), g(x) and h(x).
Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).
Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.
Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.
Therefore, the only right answer is the third choice.