That forms a right triangle, so use the Pythagorean theorem. 5^2+2^2=c^2
25+4=c^2
c=√29
Hope this helps
Answer:
The midpoint of points is .
Step-by-step explanation:
Given points are . We need to find the midpoint of the line segment.
The formula of finding midpoints between the point is
W have points . And
Let us plug the value in Equation (1)
So, the midpoint of points is .
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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