What is the area of this figure?Enter your answer in the box.8m5 m9m
2 answers:
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Answer:
There is a 3.44% probability to get a sample average of 93 or more customers if the manager had not offered the discount.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. This means that
She reports that her strategy has worked since the sample mean of customers during this 7 weekday period jumps to 93. What is the probability to get a sample average of 93 or more customers if the manager had not offered the discount?
This is 1 subtracted by the pvalue of Z when X = 93.
We also have to find a standard deviation of the sample(that is, the 7 days), so:
has a pvalue of 0.9656.
This means that there is a 1-0.9656 = 0.0344 = 3.44% probability to get a sample average of 93 or more customers if the manager had not offered the discount.
Answer:
<h2>x= 37</h2>Step-by-step explanation:
This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)
According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
given (as seen from the diagram)
x, hypotenuse= ?
opposite= 12
adjacent= 35
Applying Pythagoras theorem
Substituting our given data and solving for hpy we have
hence x= 37