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Mathematics, 03.12.2021 20:30 Km13

A national survey of 2400 adult citizens of a nation found that 22 % dreaded Valentine's Day. The margin of error for the survey was 2.9 percentage points with 85 % confidence. Explain what this means

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ansver
Answer from: Quest

mean, 40.6

step-by-step explanation:

ansver
Answer from: Quest

look at the picture.

efgh\sim abcd\to2: 3

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

6: 3x=2: 3\to\dfrac{6}{3x}=\dfrac{2}{3}\to\dfrac{2}{x}=\dfrac{2}{3}\to2x=(2)(3)\to x=3

use pythagorean theorem:

a^2=8^2+(2\cdot3)^2\\\\a^2=64+36\\\\a^2=100\to a=\sqrt{100}\to a=10\ cm

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

p_{efgh}: p_{abcd}=2: 3\to\dfrac{p_{efgh}}{p_{abcd}}=\dfrac{2}{3}

substitute:

\dfrac{p_{efgh}}{30}=\dfrac{2}{3}       cross multiply

3p_{efgh}=(30)(2)       divide both sides by 3

p_{efgh}=20\ cm

p_{abcd}=30\ cm\\\\p_{efgh}=20\ cm

ansver
Answer from: Quest

17,000 is the correct answer.

ansver
Answer from: Quest

answer: the answer is c and e and i know because i just took the quiz

step-by-step explanation:

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