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Sonja [21]
2 years ago
11

13(10 + 2) could be used to simplify which of the following problems?

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
6 0
Well first you need to show the rest of the problems before i can truely help you sorry.
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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
the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following
alisha [4.7K]

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

138+x+x=180 \iff 2x=42 \iff x=21

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

3 0
3 years ago
Which are perfect square trinomials? Select two options.
Paul [167]

Answer:

C and D

Step-by-step explanation:

just took the quiz

3 0
3 years ago
Read 2 more answers
A fruit punch recipe calls for 3/4 cup of pineapple juice and 1 1/2 cups of orange juice. I have 4 1/2 cups of pineapple juice a
givi [52]

Answer: If the recipe wants 3/4 cup of pineapple juice for every 6/4 cups of orange juice, 18/4 is 6x more than the recipe so 6/4 must be 6x larger too.

6 x 3/2 = 18/2 or 9 cups of orange juice. Hope this helps :) Please mark brainliest if you can ;)


6 0
2 years ago
A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown
yKpoI14uk [10]
The answer is 7 inches
4 0
3 years ago
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