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adell [148]
3 years ago
11

Catherine 168 pieces of gum playing at a bean bag toss in the county fair at school she gave three to every student in her math

class she has 8 remaining how many students are in her class
Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Givens

Let the number of students in the class be x

Let the number of pieces of gum she gave out be 3x

Equation

3x + 8 = 168 This will not work out evenly. Let's try x - 1. The reason for that is because she may not give out anything to herself.

3(x - 1) + 8 = 168      This doesn't work either.

Well we have to choose. It's a rounding problem.

3x + 8 = 168     Subtract 8 from both sides.

3x = 168 - 8      Combine

3x = 160           Divide by 3 on both sides.

x = 160 / 3

x = 53.333333333

Since that can't be, we could say there were 53 students.

3x

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If a bootle says 8% fruit juice and it is a 120 milliliter bottle , how many milliliters of fruit juice ?
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9.6

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A students home is 3.25 miles from school. A soda shop is located 900 feet farther down the road from school. What is the total
notka56 [123]

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Convert the 0.25 mile to feet:

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Add the soda shop distance to this:

1,320 + 900 = 2,220 feet.


Total distance is 3 miles and 2,220 feet


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Which conversions from scientific notation to standard notation are true? Check all that apply.
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3 0
3 years ago
In 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alc
Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol​ has changed.

Step-by-step explanation:

We are given that in 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alcoholic​ beverages?"

Of the 1100 adults​ surveyed, 429 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 352 in

<u><em>Let p = proportion of adults who totally abstain from alcohol.</em></u>

where, p = \frac{429}{1100} = 0.39

So, Null Hypothesis, H_0 : p = 39%      {means that the proportion of adults who totally abstain from alcohol​ has not changed}

Alternate Hypothesis, H_A : p \neq 39%      {means that the proportion of adults who totally abstain from alcohol​ has changed}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

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

where, \hat p = sample proportion of adults who totally abstain from alcohol = \frac{352}{1100} = 0.32

           n = sample of adults surveyed = 1100

So, <u><em>test statistics</em></u>  =  \frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }  

                              =  -4.976

The value of z test statistics is -4.976.

<em>Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.</em><em> </em>

<em>Since our test statistics doesn't lie within the range of  critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the proportion of adults who totally abstain from alcohol​ has changed.

4 0
3 years ago
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