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3 years ago

11

Justin and Brayden are 132 miles apart, traveling towards each other. If Brayden travels 14 mph and Justin travels 8 mph how lon

g until they meet?

1 answer:

geniusboy [140]3 years ago

8 0

14t + 8t = 132
22t = 132
22t/22 = 132/22
t = 6
It will take 6 hours

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A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and

sergeinik [125]

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size n₁ = 450

p₁ = 0,48 p₁ = 48 %

x₁ = 0,48 * 450 x₁ = 216

Sample proportion 2: Born between 1965 and 1971

sample size n₂ = 300

p₂ = 0,60 p₂ = 60%

x₂ = 0,6* 300 x₂ = 180

Test Hypothesis:

Null Hypothesis H₀ p₂ = p₁

Alternative Hypothesis H p₂ > p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume CI = 95 % then significance level α = 5 % the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score is z(c) for α = 0,05 from z-table z(c) = 1,64

To calculate z(s)

z(s) = ( p₂ - p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁ = 0,60 - 0,48

p₂ - p₁ = 0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216 + 300) / 450 + 300

p = 516 / 750 p = 0,688 then q = 1 - p q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)| and |z(s)|

z(s) > z(c)

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We can support the claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

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3 years ago

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2 years ago

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matrenka [14]

Answer:

$\angle A \cong \angle D$

Step-by-step explanation:

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2 years ago

How much is a $450 snowboard with 7.25% sales tax?

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Answer:

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Alja [10]

Answer:

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3 years ago

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