Find the arc length of AB⌢. Round your answer to the nearest hundredth.
1 answer:
You might be interested in
Answer:
Warranty of 66 months.
Step-by-step explanation:
Problems of normally distributed samples are 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:
If the company wants no more than 2% of the components to wear out before they reach the warranty date, what number of months should be used for the warranty?
Only the lowest 2% will be replaced, so the warranty is the value of X when Z has a pvalue of 0.02. So it is X when Z = -2.055.
Warranty of 66 months.
Answer:
1.54 m
Step-by-step explanation:
Given information:
<u>Three groups of students</u>
- 20 students with a height of 1.67 m
- 16 students with a height of 1.50 m
- 14 students with a height of 1.40 m
⇒ Total number of students = 20 + 16 + 14 = 50
To find the <u>mean height</u> of all the students, <u>divide</u> the <u>sum of all the students' heights</u> by the <u>total number of students</u>:
Therefore, the mean height of all the students is 1.54 m