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e-lub [12.9K]
2 years ago
12

Johnny measured the wading pool at the Belleville Community Center and calculated that it has a circumference of 6.28 meters. Wh

at is the pool's diameter?
Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

your mom

Step-by-step explanation:

im on top she is on the bottom <3

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12

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The answer to this question is..

C. 5x - 15 <span>≥ 85
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As we already know, wherever the arrow points is where the equal than or less than sign is going to point. So in this problem, A and B are not possible answers. We then can identify that if we added 85 to the left side, the number line would be a lot higher than it currently is. If you need further explanation, don't hesitate to ask.

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Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed t
Naya [18.7K]

Answer:

a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers

b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers

c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

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 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.

Standard deviation of 500 kilometers

This means that \sigma = 500

a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Mean of 1500 km means that \mu = 500

The probability is the pvalue of Z when X = 500. So

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

Z = \frac{500 - 1500}{500}

Z = -2

Z = -2 has a pvalue of 0.0228

0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.

b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Now \mu = 1200

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

Z = \frac{500 - 1200}{500}

Z = -1.4

Z = -1.4 has a pvalue of 0.0808

0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.

c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?

1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

3 0
2 years ago
Help me out not all just what you can
lara31 [8.8K]

9514 1404 393

Answer:

  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

__

2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

__

3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

__

4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

__

5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

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If Tony can run 3 miles in 18 minutes. How far can he run in 27 minutes?
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4 miles and half because every 6 minutes Tiny runs 1 mile.
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