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stealth61 [152]
3 years ago
5

Alison does 8 math problems in 2 minutes. How long will it take her to do a set of 160 problems?

Mathematics
2 answers:
Sholpan [36]3 years ago
7 0

Answer:

40 minutes.

Step-by-step explanation:

Hi there! I'm glad I was able to help you solve this problem!

We are given that Alison does 8 math problems in TWO minutes.

Considering this, we can conclude that Alison can do FOUR math problems in ONE minute. (That's pretty impressive, if you ask me!)

To recap how I solved this, I put 8/2 in simplest form, which left me with 4/1.

NOTE: Per 1 minute, Alison completes 4 problems.

By doing mental math myself, I concluded that my answer was 40 minutes for Alison to complete 160 math problems. I had to check it, though!

The GCF (Greatest Common Factor) of 160 and 40 was 40.

I divided both terms by the GCF, which is again 40.

160 ÷ 40 = 4

40 ÷ 40 = 1

This brings us back to our improper fraction in simplest form 4/1!

Therefore, Alison will take about 40 minutes to complete a set of 160 problems.

I hope this helped you out! Comment below if I can help you with anything else! :)

erastovalidia [21]3 years ago
5 0

Answer:

40 min

Step-by-step explanation:

find unit rateeee  p=problems

8 p= 2 min

8/2=4

so Alison can do 4 math problems per minute

so 160/4= 40 minutes

hope this helps

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We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

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So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

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                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

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<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

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