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Naddik [55]
2 years ago
15

Explore rectangular and triangular prisms and their two-

Mathematics
1 answer:
suter [353]2 years ago
4 0

Answer:24

Step-by-step explanation:

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A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o
Svetach [21]

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 \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • 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:

\mu = 400, \sigma = 30.

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 = \frac{X - \mu}{\sigma}

Z = \frac{420 - 400}{30}

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

#SPJ1

3 0
2 years ago
If ABCD is dilated by a factor of 3, the
stellarik [79]
The new coordinate for C would be 1,2.
8 0
2 years ago
HELP LAST ATTEMPT ( get marked brainliest show work
Liono4ka [1.6K]

Answer:

D

Step-by-step explanation:

Area of H = 25pi

Area of J = 225pi

225pi/25pi = 9

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3 years ago
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Answer:

Yes

Step-by-step explanation:

A proportion is an equation with a ratio on each side. And when you reduce 6/8 to the lowest form, it is 3/4

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The answer to this question is 268 your welcome 

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