Jada says that she found three different ways to complete the first question correctly. Do you think this is possible? Explain y
1 answer:
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Answer:
a) 25% of the students exam scores fall below 55.6.
b) The minimum score for an A is 84.68.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 61 and a standard deviation of 8.
This means that
(a) What score do 25% of the students exam scores fall below?
Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.
25% of the students exam scores fall below 55.6.
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?
This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.
The minimum score for an A is 84.68.
Answer:
best completes this argument
Step-by-step explanation:
Circumference of circle =
Where d is the diameter of circle
We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to
So, Number of sectors =
The arc length of each sector is the circumference divided by the number of sectors
Diameter d = 2r (r = radius)
Option b is true
Hence best completes this argument
Part A:
Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
Therefore, the probability that she selects the route of four specific capitals is
Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>
Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
Therefore, the probability that she selects the route of four specific capitals is
Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>