The product of 43 x 6 can be broken down into expanded
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Answer:
Tuesday z-score was 3.26.
Tuesday was a significantly good day.
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:
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.
A score is said to be significantly high if it has a z-score higher than 1.64, that is, it is at least in the 95th percentile.
In this problem, we have that:
On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z-score.
This is Z when
Tuesday z-score was 3.26.
Was Tuesday a significantly good day?
A z-score of 3.26 has a pvalue of 0.9994. So only 1-0.9994 = 0.0006 = 0.06% of the day are better than Tuesday.
So yes, Tuesday was a significantly good day.
Answer: The area of the mirror is 113.14 sq. inches [approx.].
Step-by-step explanation: Given that a circular can till 375 ft² of land in 15 min.
We are to find the area of the mirror in square inches.
The AREA of a circle with radius 'r' units is given by
The diameter of the circular mirror is 12 inches, so the radius of the mirror will be
Therefore, the area of the circular mirror is
Thus, the area of the mirror is 113.14 sq. inches [approx.].