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TEA [102]
2 years ago
13

Which of the following are possible side lengths for a triangle

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   <u>False</u>

B: 5 + 7 > 8

   12 > 8

   <u>True</u>

C: 2 + 4 > 6

   6 > 6

   <u>False</u>

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Can someone please work out and explain to me, how to complete Q23?<br><br> Much Appreciated
velikii [3]

You would use the sine rule. This is because the sine rule is when you know two of the angles on any triangle.

Brainliest please! <3

4 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
2 years ago
Darius has a 24-ounce sports drink he drinks 18 ounces
katovenus [111]
Answer: 6 ounces

Explaintion: 24 minus 18 equals 6
6 0
3 years ago
Can 4x-2y=12x+2y=8 be solved by adding one of the original equations to the other
nydimaria [60]

Answer:

No you can't add problems together, but you can use elimnation

Step-by-step explanation:

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3 years ago
Find the inverse of the following functions algebraically
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The answer is g^-1= x^2/2 + 1/2
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