Answer:
73.1 inches
Step-by-step explanation:
We solve for this using z score formula.
z-score is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
x = unknown = randomly selected male's height
μ = 70.3 inches
σ = 4.1 inches
z = is not given but we are given its percentile which is 75
The z score for a 75th percentile = 0.674
Hence,
0.674 = x - 70.3/4.1
Cross Multiply
0.674 × 4.1 = x - 70.3
2.7634 = x - 70.3
x = 70.3 + 2.7634
x = 73.0634 inches
The height of the randomly selected male = 73.0634
Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches
The answer choice which best fits the function described in the task content is; Choice A; time(length).
<h3>Which would be a good name for the function?</h3>
It follows from the task content that the function takes the length of a race and returns the time needed to complete it.
On this note, it follows that the time taken is a function of the length of the race.
Hence, the appropriate name of the function is; Choice A.
Read more functions;
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Answer:
k = 5
n = 10
p = 0.5
Step-by-step explanation:
Let X be a discrete random variable. The binomial probability formula is used to calculate the probability of obtaining k-successes in "n" independent trials for an experiment with probability of success p and probability of failure q.
The binomial formula is the following:

Where:
k = number of successes
n = number of trials
p = probability of success
q = probability of failure.
So, for the given problem
k = 5 Because you want to get the probability of getting 5 "heads"
n = 10 Because the experiment is repeated 10 times
p = 0.5 Because the probability of obtaining a "heads" when flipping a coin is 50%
q = 0.5
This situation is a "union." To answer it, add together the probabilities 0.42 and 0.38. Result: 0.80.
The probability of getting into either USC or VSU is 0.80.