Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Answer: The answer would be 0=0 I think.
Step-by-step explanation:
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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Answer:
30.23944
Step-by-step explanation: