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Ede4ka [16]
3 years ago
6

The ratio of the radii of two spheres is 2:5. The volume of the smaller sphere is 192 in3. What is the volume of the larger sphe

re?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0
R=2/5 . Hence R^3 = 8/125 (Ratio of their volume
 (V1)/(V2) = 8/125 if V1=192 then 192/(V2) = 8/125

V2 = (192x125)/8
V2 = 3,000 in^3
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Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
Determine whether the relation represents a function. State the domain and range of the relation.
zaharov [31]

Answer:

  • It is a function
  • Domain: {-4, -2, 1, 5}
  • Range: {-9, -7, -4, 5}

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

5 0
2 years ago
Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the p
KIM [24]

Answer:

<em>1885.5 m^3 of water</em>

<em></em>

Step-by-step explanation:

I'll assume this is the complete question

<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14 </em>

<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>

<em></em>

height of pool = 4.5 ft

radius of pool12^{2} = 12 ft

height of water is 4 inches below pool top

<em>12 inches make 1 ft</em>

4 inches = 4/12 ft = 0.33 ft

Therefore, height of water = 4.5 - 0.33 = 4.17 ft

<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>

volume of cylinder formed by the water = volume of water = πr^{2}h

volume = 3.14  x 12^{2} x 4.17 = <em>1885.5 m^3 of water</em>

3 0
3 years ago
In math is -34 less than -9
KatRina [158]
Yes it is, if you look on a number line, the -34 is farther left than the -9
4 0
3 years ago
Just an answer and simple explanation! Thank you.
vazorg [7]

Answer:

15

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

6 0
2 years ago
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