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ahrayia [7]
2 years ago
15

Mr.Rowley has 16 homework papers and 14 exit tickets to return. Ms. Rivera has 64 homework papers and 60 exit tickets to return.

For each teacher, write a ratio to represent the number of homework papers to number of exit tickets they have to return. Are the ratios equivalent? Explain.
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
8 0
Mr. Rowley
16:14

Ms. Rivera
64:60

If you try to simplify 64:60, you get 16:15.
64/4 = 16
60/4 = 15

So they are not equivalent because Ms. Rivera has 1 more exit ticket than Mr. Rowley.
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Answer:

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

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Domain is the input, set of x values for the function.

Range is the output, set of y values for the function.

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<em />

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).

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The p value for this case would be given by:

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For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

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Information given

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\hat p=0.30 estimated proportion of  people who  thought the economy is getting worse

p_o=0.32 is the value that we want to verify

\alpha=0.05 represent the significance level

z would represent the statistic

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We want to check if the true proportion of interest is equal to 0.32 or not.:  

Null hypothesis:p=0.32  

Alternative hypothesis:p \neq 0.32  

The statistic would be given by:

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

Replacing we got:

z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174  

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p_v =2*P(z  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

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