Frank wants to put fencing around the border of his rectangular lawn shown. He needs 16 feet of fencing. What is the length of t
2 answers:
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Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.
Michael Jordan's Freethrow, the population of the 6 countries and the distribution of the uninsured drivers are illustrations of probabilities
<h3>1. Michael Jordan Freethrow</h3>The given parameter is:
p = 83% -- the percentage of free throws he made
<u>Probability that he misses his 6th throw </u>
The probability that he misses his 6th throw is:
P = P(He made the first 5 throws) * P(He lost the 6th)
This gives
P = (83%)^5 * (1 - 83%)^1
P = 0.0670
<u>Expected number of miss</u>
The expected number till he misses the first free throw is:
E(x) = np
This gives
E(x) = 6 * 83%
E(x) = 4.98
Approximate
E(x) = 5
Hence, the probability that he misses his 6th throw is 0.0670 and the expected number till he misses the first free throw is 5
<h3>2. Country Populations</h3>The given parameters are:
Average population = 268.35 million
Standard deviation = 370.43 million
<u>The z-scores for the United States, Egypt, and Mexico</u>
This is calculated as:
z = (x - )/
So, we have:
US = (332 million - 268.35 million)/ 370.43 million
US = 0.17
Egypt = (104 million - 268.35 million)/ 370.43 million
Egypt = -0.44
Mexico = (128 million - 268.35 million)/ 370.43 million
Mexico = -0.38
<u>The countries from the smallest to the largest </u>
By comparing the z-score of the countries, the order of the countries are:
Egypt, Japan, Mexico, Brazil, United States and India
The countries are ranked that way because the higher the z-score, the higher the population
<h3>3. Uninsured drivers</h3>The given parameter is:
p = 12.6% -- the percentage of uninsured drivers
<u>Probability that exactly 5 drivers of 30 are uninsured</u>
This is calculated as:
P(x) = nCx * p^x * (1 - p)^(n-x)
So, we have:
P(5) = 30C5 * (12.6%)^5 * (1 - 12.6%)^(30-5)
Evaluate the product
P(5) = 0.1561
<u>Probability that the next uninsured driver is the 7th</u>
This is calculated as:
P = P(First 6 are insured) * P(7th is unisured)
This gives
P = (1 - 12.6%)^6 * (12.6%)^1
P = 0.0562
The probability that exactly 5 drivers of 30 are uninsured is 0.1561, and the probability that the next uninsured driver is the 7th is 0.0562
Read more about probability at: