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3 years ago

12

A fingernail grows at an average rate of 1/8 inches per month. Rip Van Winkle, a character in a story by Washington Irving, slep

t for 20 years. If his fingernails grew at an average rate, approximately how many inches did each nail grow while he slept

1 answer:

choli [55]3 years ago

8 0

change 20 years to months

20 * 12 = 240 months

1/8 inch per month * 240 months

240/8

30 inches

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Alla [95]

Answer:

The coach should start recruiting players with weight 269.55 pounds or more.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 225 pounds

Standard Deviation, σ = 43 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.15

$P( X > x) = P( z > \displaystyle\frac{x - 225}{43})=0.15$

$= 1 -P( z \leq \displaystyle\frac{x - 225}{43})=0.15$

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Calculation the value from standard normal z table, we have,

$P(z < 1.036) = 0.85$

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Thus, the coach should start recruiting players with weight 269.55 pounds or more.

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