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wariber [46]
3 years ago
8

A sphere has been placed inside an cylinder with the same dimensions;both have a radius of 6cm,and a height of 12cm How many cub

ic centimeters of space does the sphere fill not fill up. A.432pi cm B.72 pi cm C.288 pi cm D.144 pi cm
Mathematics
1 answer:
monitta3 years ago
6 0

Answer:i think the answer is B?

Step-by-step explanation:

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Keevyn has a bag of Jolly Ranchers. Keevyn gave 3/8 of the bag to Zavion and 1/4 of the bag to Qeisha. Then keeyvn gave 1/2 of t
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Answer:

1.5/8 of the bag

Step-by-step explanation:

1/4 * 2 = 2/8

----------------------

3/8 + 2/8 = 5/8

1 - 5/8 = 3/8

3/8 divided by 1/2 = <u>1.5/8</u>

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Use mental math to find which has a greater product 5×50or 5×500
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I think the answer is 5×500
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A company makes concrete paving stones in different sizes. Each stone has a volume of 360 inches and a height of 3 inches. the s
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5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g
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Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1117}{10} = 111.7

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S.D = \sqrt{\frac{642.1}{49}} = 8.44

We are given the following in the question:  

Population mean, μ = 106

Sample mean, \bar{x} = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

H_{0}: \mu = 106\\H_A: \mu > 106

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

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