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3 years ago

Please help!!!! Will givebrainly! No wrong answers. A statement and portions of the flowchart proof of the statement are shown.

Mathematics

2 answers:

kvasek [131]3 years ago

6 0

Beacuse you are adding UVW to WVX, it would be: B. Angle Addition Postulate

worty [1.4K]3 years ago

5 0

Answer: B. Angle Addition Postulate

Step-by-step explanation:

Angle addition postulate says that the measure of an angle produced by joining two angles is the sum of the measures of the two angles.

i.e. For a given angle ∠MNO if Q is interior of ∠MNO then ∠MNO=∠MNQ+∠QNO.

From the given figure, we can see that W lies in the interior of ∠UVX .

Then, ∠UVW+∠WVX=∠UVX which in box 1.

Thus, the reason should appear in the box labeled 1 = Angle Addition Postulate

Hence, the correct answer is option (B) "Angle Addition Postulate" .

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3 years ago

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Step-by-step explanation:

We know that the confidence interval population proportion (p) is given by :-

$\hat{p}\pm z*\cdot SE$

, where $\hat{p}$ = sample proportion.

z* = Critical value (Two -tailed)

SE = standard error

Given : In 2012, about 24% of high-school seniors reported binge drinking (defined as five or more drinks in a row in the past two weeks), a substantial drop since the late 1990s.

$\hat{p}=0.24$

SE = 0.019

Significance level = $\alpha=1-0.95=0.05$

Two-tailed value corresponds for $\alpha=0.05$ :

z*=1.96 [Using z-table]

Now, the 95% confidence interval for the proportion of high-school seniors in the sample who would report binge drinking will be :-

$0.24\pm (1.96)\cdot (0.019)=(0.24-1.96\times 0.019,\ 0.24+1.96\times 0.019)$

Hence, the correct answer = (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)

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4 years ago