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Naily [24]
3 years ago
11

Spaghetti sauce comes in large and small cylindrical cans. The larger can has a radius and height that are both three times long

er than the radius and height of the smaller can. If the volume of the smaller can is 35.28 in3, what is the volume of the larger can?
A. 211.68 in3
B. 317.52 in3
C. 105.84 in3
D. 952.56 in3
Mathematics
2 answers:
Alik [6]3 years ago
5 0
Let S and L be the volumes of the smaller and larger cans respectively...

The volume of a cylinder is:  V=hπr^2 so

S=hπr^2  and we are told that the larger can's dimensions are 3h and 3r respectively so:

L=(3h)π(3r)^2

L=3hπ(9r^2)

L=27hπr^2

Then S/L is:

S/L=(hπr^2)/(27hπr^2)

S/L=1/27 so we can say that:

L=27S, we are told that the volume of the smaller can is 35.28 in^3 so

L=27(35.28) in^3

L=952.56 in^3
hram777 [196]3 years ago
3 0

Answer:

V=952.56 in³

Step-by-step explanation:

APEX

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z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

\hat p=\frac{115}{180}=0.639 estimated proportion of adults with the medication was effective

p_o=0.65 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)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:  

Null hypothesis:p \geq 0.65  

Alternative hypothesis:p < 0.65  

When we conduct a proportion test we need to use the z statisitc, 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.

Calculate the statistic  

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

z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

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 left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

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44

Step-by-step explanation:

a+4=48

a+4=48

a=48-4

a=44

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