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GrogVix [38]
2 years ago
11

the surface areas of two similar solids are 1008cm^2 and 1372ccm^2. the volume of the larger solid is 1801cm^3 find the volume o

f the smaller solid round your answer to the nearest hundredth
Mathematics
1 answer:
adoni [48]2 years ago
4 0
This can be treated as a proportion problem.

Larger solid: 
Surface area = 1,372 cm²
Volume = 1,801 cm³

Smaller solid:
Surface area = 1,008cm²
Volume = ?

1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18

The volume of the smaller solid is 1,323.18 cm³
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Use this information to answer the questions. University personnel are concerned about the sleeping habits of students and the n
Oksanka [162]

Answer:

z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097  

p_v =P(Z>2.097)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of  students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

Step-by-step explanation:

1) Data given and notation

n=377 represent the random sample taken

X=209 represent the students reported experiencing excessive daytime sleepiness (EDS)

\hat p=\frac{209}{377}=0.554 estimated proportion of students reported experiencing excessive daytime sleepiness (EDS)

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

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

z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>2.097)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of  students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

6 0
3 years ago
How do I solve this?
serg [7]

Answer:

  (x, y) = (18, 5)

Step-by-step explanation:

Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:

  3x +49 = 7x -23

  72 = 4x . . . . . . . . . add 23-3x

  18 = x . . . . . . . . . . . divide by 4

__

Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.

  3x = 11y -1

  3(18) +1 = 11y . . . . add 1, fill in the value of x

  55/11 = y = 5 . . . . divide by 11

The values of x and y are 18 and 5, respectively.

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3 years ago
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Nutka1998 [239]
1/48

Since there is only 1 page labeled “3,” the probability of picking page 3 is 1/48.
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bagirrra123 [75]

Answer:

$5.5

Step-by-step explanation:

Divide 44 into 5 to get what each car costs!

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Write an equation for the description.<br> A number x increased by 12 is 120.
Korvikt [17]

Answer:

x+12=120

Step-by-step explanation:

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