Answer:
A quarter of one lap of the track.
Step-by-step explanation:
Three students ran ran a relay and took turns running equal parts of the track.
The race was three-fourths of a lap long.
Let the length of one lap of the track=x
The length of the race
Since each of the students ran equal part,
Length run by each student
Therefore, each student ran a quarter of one lap of the track.
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:
Answer:
When we have something like:
It is called the n-th root of x.
Where x is called the radicand, and n is called the index.
Then the term:
is called the fourth root of 16.
And in this case, we can see that the index is 4, and the radicand is 16.
At the end, we have the question: what is the 4th root of 16?
this is:
The 4th root of 16 is equal to 2.