A point is randomly chosen in the diagram shown below.
2 answers:
Answer:
The likelihood that a point chosen inside the square will also be inside the circle: 78.54%
Step-by-step explanation:
- Let x is the side of the suqare
=> the area of the square is:
- Let d is the diameter of the circle
=> the area of the circle : π
However, d=x because of the square property
<=> the area of the circle : π
The likelihood that a point chosen inside the square will also be inside the circle:
the area of the circle / the area of the square
= π /
= π *100%
= 0.7854 * 100%
= 78.54%
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The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
<h3>What is the margin of error(MOE)?</h3>It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
Where Z is the z-score at the confidence interval
p is the population proportion
n is the number of samples.
We have p = 68% = 0.68
n = 115
Z score for 90% confidence interval = 1.64
MOE = 0.071
So the confidence interval will be:
= (0.68-0.071, 0.68+0.071)
= (0.609, 0.751) or
= (60.9%, 75.1%)
Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
Learn more about the Margin of error here:
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