Answer:
Step-by-step explanation:
A) The equation for the volume of a sphere is 
As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.
Now we can plug our value into the equation
This would simplify to
V = 14.12716694 
B) The equation for the volume of a cylinder is 
As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inches
Now we can plug in our values into the equation
This would mean that this equation would simplify to
27\pi 
C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis balls
This would mean that the equation would look like this
This would simplify to
42.41150082 of empty space.
Answer:
C.
Step-by-step explanation:
The relationship is proportion if y/x is constant.
So it is C because 12/4 = 15/5 = 18/6 = 3.
Answer:
865
Step-by-step explanation:
We have that in 95% confidence level the value of z has a value of 1.96. This can be confirmed in the attached image of the normal distribution.
Now we have the following formula:
n = [z / E] ^ 2 * (p * q)
where n is the sample size, which is what we want to calculate, "E" is the error that is 2% or 0.02. "p" is the probability they give us, 5 out of 50, is the same as 1 out of 10, that is 0.1. "q" is the complement of p, that is, 1 - 0.1 = 0.9, that is, the value of q is 0.9.
Replacing these values we are left with:
n = [1.96 / 0.02] ^ 2 * [(0.1) * (0.9)]
n = 864.36
865 by rounding to the largest number.
First answer is A(true), second one is B(false), and the last one is A (xx).
<span><span>√<span><span><span>(<span><span>3<span>x4</span></span><span>y3</span></span>)</span>2</span>⋅<span>(<span><span>6x</span>y</span>)</span></span></span><span><span><span><span>3<span>x4</span></span><span>y3</span></span>2</span>⋅<span><span>6x</span>y</span></span></span>Pull terms out from under the radical.<span><span><span>3<span>x4</span></span><span>y3</span></span><span>√<span><span>6x</span><span>y</span></span></span></span>
