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Lady_Fox [76]
3 years ago
14

this triangular prism has a length of 20 centimeters, an end base of 6 centimeters and an end height of 8 centimeters. what is t

he volume of this prism?
Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

960

Step-by-step explanation:

LxWxH = v

V = 20x 6 x 8

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A cereal manufacturer produces cereal in boxes having a labeled weight of 15.7 ounces. Suppose that a random sample of 31 boxes
taurus [48]

Answer:

t=\frac{16.14-15.7}{\frac{1.18}{\sqrt{31}}}=2.076    

p_v =P(t_{(30)}>2.076)=0.0233  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean for the weigths of cereal boxes is higher than 15.7 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=16.14 represent the sample mean

s=1.18 represent the sample standard deviation

n=31 sample size  

\mu_o =15.7 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 15.7 or no, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15.7  

Alternative hypothesis:\mu > 15.7  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{16.14-15.7}{\frac{1.18}{\sqrt{31}}}=2.076    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=31-1=30  

Since is a one side test the p value would be:  

p_v =P(t_{(30)}>2.076)=0.0233  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence toreject the null hypothesis, and we can conclude that the true mean for the weigths of cereal boxes is higher than 15.7 at 5% of signficance.  

4 0
3 years ago
Kevin can type a report in 4 hours. Renee can type the same report in 3 hours. How long,in hours,will it take Kevin and Renee to
dem82 [27]
Kevin would probably leave it all to renee because he's lazy but that's not the question. Te answer is 3 and a half hours because  it is the mean (average) of 3 and 4.

Hope this helps :)
8 0
2 years ago
The following table shows how many pie 4 baking team made at a pie-baking competition. For example, Team crusty baked 28 pies in
butalik [34]
I think it would be B pie peace
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What is the common factor to 42 and 70
german

Answer:

14

Step-by-step explanation:

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8 0
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What is the value of the expression? Drag and drop the answer into the box to match the expression. 0.9(1/2−2)+0.6
mrs_skeptik [129]
Should be, -0.7, if you follow PEMDAS
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