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Goshia [24]
3 years ago
7

3) Using J =

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

Diameter = 49

radius = 49/2

circumference of circle is = <em>2</em><em>π</em><em> </em><em>r</em>

<em>=</em><em>. </em><em> </em><em>2</em><em>*</em><em>2</em><em>2</em><em>/</em><em>7</em><em>*</em><em>4</em><em>9</em><em>/</em><em>2</em>

<em>=</em><em> </em><em>1</em><em>5</em><em>4</em><em> </em><em>cm</em>

<em>hope</em><em> it</em><em> helps</em>

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Write an expression equivalent to 4-2(x+5) that has two terms
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Answer:

2x+10

hope this helps

have a good day :)

Step-by-step explanation:

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Find the product of the monomial and the polynomial. 4a^2b^3*(9a^4b^2-4a^2+3)
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Answer:

Step-by-step explanation:

4a² b³ * (9a⁴b² - 4a² + 3) = 4a²b³ * 9a⁴b² - 4a²b³*4a² + 4a²b³*3

                                        = 36a²⁺⁴ b³⁺²  -16a²⁺²b³ + 12a²b³

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2 years ago
Neisha ate 1/3 of her birthday cake. If her 3 younger siblings divided the rest equally, what fraction of the cake did they each
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2/9 each

Step-by-step explanation:

2/3 would be left from neisha, therefore 2/3 divided by three = 2/9.

7 0
2 years ago
24 + 2 - 6 divided by 3 x 4
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4 0
3 years ago
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In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos
Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

If n variables are added, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem:

n = 16, \mu = 160*16 = 2560, s = \sqrt{16}*27 = 108

What is the probability that the random sample of 16 people in the elevator will exceed the weight limit?

This is 1 subtracted by the pvalue of Z when X = 2750. So

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

By the Central Limit Theorem

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

Z = \frac{2750 - 2560}{108}

Z = 1.76

Z = 1.76 has a pvalue of 0.961

1 - 0.961 = 0.039

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

7 0
3 years ago
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