Answer:
r = 5 cm
Step-by-step explanation:
A = πr²
78.53 = (3.14)r²
divide by 3.14
25 = r²
r = ±5
r = 5
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
A pound is larger then a ounce
Answer:
6x
Step-by-step explanation:
The formula for the volume of a cone is ...
V = (π/3)r²h
Filling in the given values and solving for r, we find ...
37x³ = (π/3)r²x
(3·37/π)x² = r² . . . . . . . . divide by the coefficient of r²
x√35.3324 ≈ r ≈ 5.94x
The closest answer choice is 6x.
Answer:
The percentage of Millennial students at his college who live in their parents' home is the same as the percentage of Millennials nationwide
Step-by-step explanation:
Given that a Pew Research analysis stated that in 2012, 36% of the nation's young adults ages 18-31 the so-called Millennial generation - were living in their parents' home.
After reading the analysis, a statistics student wanted to design a study to determine if the percentage was higher for the Millennial students who attend his college.
Hence proper hypotheses would be claiming p = 36% against p >36%
The percentage of Millennial students at his college who live in their parents' home is the same as the percentage of Millennials nationwide
Because null normally we give equal to against alternate.
