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dolphi86 [110]
3 years ago
5

Hi if anyone is able to simplify this problem please help me and do so

Mathematics
2 answers:
Fynjy0 [20]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello,

26 = 2 * 13

8 = 2 * 4

so we can simply as below.

\dfrac{26}{8}\\\\=\dfrac{2*13}{2*4}\\\\\boxed{=\dfrac{13}{4}}

Thank you

gladu [14]3 years ago
3 0

\dfrac{26}{8}=\dfrac{13\cdot2}{4\cdot2}=\,\boxed{\,\dfrac{13}4\,}\,=\dfrac{3\cdot4+1}4=3\frac14

or if its 20, not 26:

\dfrac{20}{8}=\dfrac{4\cdot5}{4\cdot2}=\, \boxed{\,\dfrac{5}2\,}\, =\dfrac{2\cdot2+1}2=2\frac12

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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

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