niah works as a retail sales clerk earning $18,000 per yer. she plans to go to school for medical billing that has a median sala
2 answers:
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Answer:
a) 2.84% probability that he is late for his first lecture.
b) 5.112 days
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
a. Find the probability that he is late for his first lecture.
This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So
has a pvalue of 0.9716
1 - 0.9716 = 0.0284
2.84% probability that he is late for his first lecture.
b. Find the number of days per year he is likely to be late for his first lecture.
Each day, 2.84% probability that he is late for his first lecture.
Out of 180
0.0284*180 = 5.112 days
Answer:
A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?
The expression which represents the value of π is option C from the attachment that is π = 43.96/14
Step-by-step explanation:
Given:
Circumference of the circle = 43.96 feet
Diameter f the circle = 14 feet
So,
We know that :
Circumference of the circle = or
Re-arranging the formula:
⇒
⇒
⇒
⇒
Plugging the numeric values:
⇒
So the expression for π is 43.96/ 14,and option C is the correct choice.
