For the answer to the question above, I'll show the computation below.
<span>V(cube) = s^3
SA(cube with no top) = 5s^2
s^3 = 5s^2
s = 5
V = 125 sq ft = 216,000 sq in
V(cannonball) = (4/3)πr^3
SA(cannonball) = 4πr^3
(4/3)πr^3 = 4πr^2
r = 3
V = 36π sq in
Packing of spheres in a cube is yielding up to 74% with remainder as space between the spheres. It can be achieved by placing the 2nd row of spheres in the crevices between adjoining first row spheres.
216,000 / 36π = 6,000/π
(6000/π)*.74 = <u><em>1414 spheres can be fit "in" each box</em></u>.
</span>
Answer:
3/4
Step-by-step explanation:
5 action+4 comedy+3 drama= <u>12 </u>total movies
<u>12 will be the denominator of our fraction. </u>
<u>The question asks: What is the probability that the movie she selects is NOT a drama?</u>
<u>So, we add the number of action and comedy movies. </u>
5+4=<u>9</u>
9 is our numerator.
<u>But wait! We have to simplify the fraction 9/12!</u>
9 divided by 3= 3
12 divided by 3= 4
Reduced answer: 3/4
Answer:
348840
Step-by-step explanation:
Calculator
Answer:
The expected participation rate is 0.637.
The standard error is 0.04397
Step-by-step explanation:
For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.
Binomial probability:
Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So . This means that the expected participation rate is 0.637.
Standard error for the participation rate:
The standard error is given by the following formula:
.
In this problem, 120 people are asked, so
.
So the standard error is 0.04397