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Anni [7]
3 years ago
7

My teacher never explained how to do this so can someone help me?

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

75cm^2

Step-by-step explanation:

When you say a rectangular prism, it means it has the base has 4 sides of which opposite sides are equal as a rectangle. This sides substends so we have a total of 6 surfaces in this prism.

This 6 surfaces has 3 surface area the same.

The surface area = sum of area of all faces.

325= 50 + 50 + 37.5 + 37.5 + 2x; where X is the area of the surface unknown.

325= 100+ 75 + 2x

325-175= 150

150= 2x

X= 150/ 2 = 75 cm^2

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ser-zykov [4K]

Answer:

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5 0
3 years ago
Suppose we are testing people to see if the rate of use of seat belts has changed from a previous value of 88%. Suppose that in
Andreas93 [3]

Answer:

a) We would expect to see 500*0.88=440

b) z=\frac{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376  

p_v =2*P(Z>1.376)=0.167  

So the p value obtained was a very high value and using the significance level assumed \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 true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when p_v we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".  

Step-by-step explanation:

Data given and notation

n=500 represent the random sample taken

X=450 represent the people that have the seat belt fastened

\hat p=\frac{450}{500}=0.9 estimated proportion of people that have the seat belt fastened

p_o=0.88 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v{/tex} represent the p value (variable of interest)  Part aWe would expect to see 500*0.88=440Part bConcepts and formulas to use  We need to conduct a hypothesis in order to test the claim that the true proportion changes fro m 0.88.:  Null hypothesis:[tex]p=0.88  

Alternative hypothesis:p \neq 0.88  

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{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376  

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 assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z>1.376)=0.167  

So the p value obtained was a very high value and using the significance level assumed \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 true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when p_v we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".  

8 0
3 years ago
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed th
dexar [7]
\tan(51^o 33')=  \frac{200}{base1}
<span>
base1= 158.802

</span>\tan(18^o 33')= \frac{200}{base2}
<span>
base2=596.008

the distance travelled = 596.008 - 158.802 = 438 m</span>

8 0
3 years ago
Kristin has 4 more headbands than Nikki does. Together they have 30 headbands. The equation h + (h+ 4) = 30 can be used to
mojhsa [17]

Answer:

A) H+4

Step-by-step explanation:

I do this in a different way, but i'll do it in both

Mine:

30 ÷ 2 = 15

4 ÷ 2 = 2

15+2, 15 -2

17, 13

Kristen Has 17

Yours:

h+(h+4)=30

     -4   -4

h+h = 26

2h = 26,

h = 13, Back to the equation, use 13 as a sub. for all the h's

13+(13+4) = 30

13 + 17 = 30

Hope this helps!

3 0
3 years ago
Read 2 more answers
Jenna is running a trail that is 8 4/7 miles long. If she has finished running 5/9 of the distance, about how far has she run?
Varvara68 [4.7K]

Answer:

Jenna has run the distance of \frac{100}{21} miles .

Step-by-step explanation:

The Distance for the trail = 8 \frac{4}{7} =  \frac{56+4}{7}

Or , Distance =  \frac{60}{7} miles

The distance cover by Jenna =  \frac{5}{9} miles of the distance

I.e The distance cover by Jenna =  \frac{5}{9} ×  \frac{60}{7}

Or, The distance cover by Jenna =  \frac{100}{21} miles

Hence Jenna has run the distance of \frac{100}{21} miles . Answer

5 0
3 years ago
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