X+y=13 2x-y=5 solve using any method
1 answer:
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Answer:
0.1507 or 15.07%.
Step-by-step explanation:
We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.
First of all, we will find z-scores for data points using z-score formula.
, where,
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.
Let us find z-score of data point 22.03.
Using probability formula , we will get:
Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.
Answer:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
Step-by-step explanation:
The first step is to write the temperatures in crescent order:
40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,
The sample minimum is the lowest value = 40
The sample maximum is the highest value = 84.
Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:
The first quartile is the average between the 3rd and 4th terms:
The third quartile is the average between the 9th and 10th terms:
Therefore, the answer is:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77