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Nezavi [6.7K]
3 years ago
12

A company makes plastic beach balls with a radius of 2 inches. How many square inches of plastic does the company

Mathematics
2 answers:
frutty [35]3 years ago
4 0

Answer:

502.4 in²

Step-by-step explanation:

Area of a sphere = 4 πr²

Plastic beach balls are spherical in shape.

Hence, the Area of a sphere = 4πr²

Where r = radius = 2 inches

π = 3.14

Hence, the area of one spherical ball =

4 × 3.14 × 2²

= 50.24 square Inches

For 1 spherical ball, 50.24 square inches of plastic is needed to make it.

How many square inches of plastic does the company need to make 10 beach balls?

Therefore,

1 spherical ball = 50.24 in²

10 spherical balls = x

Cross Multiply

x = 10 × 50.24 in²

x = 502.4 in²

Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.

Fynjy0 [20]3 years ago
4 0

Answer:

a

Step-by-step explanation:

on edge

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The area between z = 1.74 and z = 1.25<br> Round your answer to three decimal places.
balu736 [363]

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

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2 years ago
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