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never [62]
4 years ago
14

Using the formula C=2pi r find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.

Mathematics
1 answer:
Ivenika [448]4 years ago
5 0

Answer: 88 inches

Step-by-step explanation:

We know that the formula to find the circumference of circle is given by :-

C=2\pi r, where r is the radius of the circle.

Given : Diameter of circle = 28 inches

Also, diameter is twice of radius.

i.e. 2r=28

Therefore, the circumference of circle will be :-

C=2\pi r=(2r)\pi=28\times(3.14)=87.92text{ inches}\approx88\text{ inches}

Hence, the  circumference of circle is 88 inches.

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3 years ago
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches
sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

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 heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

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3 years ago
Are 4(x-3) and 6x-2(x-3) equivalent?
astraxan [27]

Answer:

No, 4x - 12 ≠ 4x + 6

Step-by-step explanation:

<u>Step 1:  Distribute both expressions</u>

4(x - 3)

(4 * x) + (4 * -3)

(4x) + (-12)

4x - 12

6x - 2(x - 3)

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6x - (2x) - (-6)

6x - 2x + 6

4x + 6

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4 years ago
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