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:
(7, 1/2)
Step-by-step explanation:
Multiply second equation by 2 and subtract.
3x - 4y = 19
- (4x - 4y = 26)
You get -x = -7
x = 7
Substitute x into any equation.
3(7) - 4y = 19
21 - 4y = 19
-4y = -2
y = 1/2
Answer:
Step-by-step explanation:
Let x be the number of minutes of 5.8*10^6 seconds.
Each minute is made of 60 seconds. Let's then use the rule of three:
60 seconds --> 1 minute
5.8*10^6 --> x minutes
x = (5.8*10^6)*1 / 60
x ≈ 96,666.66 minutes.
So 5.8*10^6 seconds is about 96,666.66 minutes.
Hope this Helps! :)