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andrey2020 [161]
3 years ago
6

A novelty store sells 8 comic books for every 3 action figures. On Monday, they sold 32 comic books. On Tuesday, they sold 18 ac

tion figures. What is the difference between the number of action figures sold on Monday and Tuesday?
Mathematics
2 answers:
Shkiper50 [21]3 years ago
6 0

Answer:

6 action figures

Step-by-step explanation:

8 Comic books for every 3 action figures;

Ratio = 8:3

Monday =

32 Comic books: X

1 part = 32/8 = 4

X = 4 * 3 = 12

Therefore 12 action figures were sold on Monday.

Difference between Monday and Tuesday is 18-12 which is 6 action figures.

Lina20 [59]3 years ago
6 0

Answer:

The difference is 6

Step-by-step explanation:

Monday

32 comic books sold

8comic books give 3actions

32 comic books give y actions

Cross multiply

8y=32×3

8y=96

y=96/8

y=12 actions

Tuesday gives 18 actions

The difference between Monday and Tuesday actions will be

18-12= 6 actions

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Subtract 2 from the term number

Step-by-step explanation:

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3 years ago
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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
Nimer was driving to a hotel. He looked at his Sat Nav at 13:30 and saw the following, Distance to destination = 65 miles Nimer
andre [41]

Answer: 50 miles per hour

Step-by-step explanation:

The average speed of the car will be gotten by using the formula:

= Distance/Time

where,

Distance = 65 miles

Time = 14:48 - 13:30 = 1:18 hours = 1 hour 18 minutes = 1 18/60 = 1.3 hours

Speed = Distance / Time

= 65 miles / 1.3 hours

= 50 miles per hour

7 0
3 years ago
Plz help due tomorrow
yKpoI14uk [10]
2x + 4 1/5 = 9
2x = 9 - 4 1/5
2x = 5 1/5
2x divided by 2 = x
5 1/5 divided by 2 = 13/5 (2 3/5, or 2.6)
x = 13/5 (2 3/5, or 2.6)
7 0
3 years ago
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