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rodikova [14]
2 years ago
12

Elena is 56 inches tall. What is her height in centimeters? (Note: 100 inches = 254 centimeters) What is her height in meters?

Mathematics
1 answer:
user100 [1]2 years ago
6 0

Answer: 1.4224 meters

Step-by-step explanation:

We are given that , Elena is 56 inches tall.

Also , it is given that 100 inches = 254 centimeters

Then, by the UNITARY METHOD,

one inch = \dfrac{254}{100} centimeters

⇒ one inch =2.54 centimeters

Now, the height of Elena = 56 inches

Then, the height of Elena in centimeters = 56\times2.54

The height of Elena in centimeters =142.24\text{ centimeters}

Also, 1 meter = 100 centimeters

Then 1 centimeter = 0.01 meter

The height of Elena in meters = 142.24\times0.01

The height of Elena in meters =1.4224 meters

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an iron rod of length 7 upon 8 m was cut into two pieces one piece is 1 upon 7 m long what is the length of the other piece.​
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other: \frac{41}{56}

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The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds
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Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 200, \sigma = 50

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

Z = \frac{220 - 200}{50}

Z = 0.4

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X = 170

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

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Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

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3 years ago
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