Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
The figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in. The area of the shaded region is 21 square in.
<h3>What is a rectangle?</h3>
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The area of the shaded part of the figure below can be determined in different ways.
Then the figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in.
Then the area of the shaded region will be
More about the rectangle link is given below.
brainly.com/question/10046743
#SPJ1
The answer is 6 centimeters
16) true
17) true
18) false
19) true
20) false
brainliest pls
