Answer:
For the 99th percentile, we have X = 206 seconds.
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.
In this problem, we have that:

99th percentile:
Value of X when Z has a pvalue of 0.99. So we use 




For the 99th percentile, we have X = 206 seconds.
There were 200 books sold. so, they need to sell 300 more to have 500 total books sold.
A) (3)² = 3 × 3 and 10(8)² = 10 × 8 × 8
B) (3)² = 9 and 10(8)² = 640
For any number x, the square of the number denoted by (x)² is equal to 2 times x multiplied by itself or x*x.
Here, we are given two expressions- (3)² and 10(8)²
we need to write both of them in expanded form and then write their values.
Expanded form of (3)² is 3 × 3
The value of the expression (3)² will be-
(3)² = 3 × 3 = 9
Similarly, expanded form of 10(8)² is 10 × 8 × 8
The value of the expression 10(8)² will be-
10(8)² = 10 × 8 × 8 = 640
Learn more about expanded form here-
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The formula is base x height
Find area of the semi circle.
The diameter is, half of that would be the radius, which is 3.
= 14.1
Find the area of the rectangle.
6 * 4 =24
Add the two areas together.
24 + 14.1 = 38.1