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Sergeu [11.5K]
2 years ago
5

Elena has chosen carpet that cost 4.55 Per square foot for a regular floor that measures 12 1/2‘ x 14 1/2 how many square feet o

f carpet is needed to cover the floor
Mathematics
1 answer:
Ad libitum [116K]2 years ago
6 0

Answer:

181 1/4 square feet

Step-by-step explanation:

The square feet of carpet is needed to cover the floor would b equal to the area of the floor

area of a rectangle = length x breadth

12 1/2‘ x 14 1/2 = 181 1/4 square feet

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Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The propor
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Answer:

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

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}

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In this question, we have that:

\mu = 110, \sigma = 0.15

The proportion of infants with birth weights between 125 oz and 140 oz is

This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So

X = 140

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

Z = \frac{140 - 110}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 125

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

Z = \frac{125 - 110}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.9772 - 0.8413 = 0.1359

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

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