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NISA [10]
2 years ago
13

Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step

s below. What was Jada’s error? Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction Negative StartFraction 4 over 9 EndFraction (Negative StartFraction 9 over 4 EndFraction) = StartFraction x over 108 EndFraction (Negative StartFraction 9 over 4 EndFraction) x = negative StartFraction 1 over 48 EndFraction
Mathematics
2 answers:
aleksandr82 [10.1K]2 years ago
8 0

Answer:

Jada error was he multiplied the equation by (-9/4) to make the coefficient of x one. He should have multiplied it by 108

Step-by-step explanation:

Jada solved the equation

-4/9 = x/108

using the steps below:

-4/9 = x/108

(-4/9)(-9/4) = (x/108)(-9/4)

x = -1/48

Jada should have multiplied through by 108, instead of (-4/9). That was the error he made.

Multiplying through by 108 gives

(-4/9)(108) = (x/108)(108)

-48 = x

x = -48

The answer should have been

x = -48

and not

x = -1/48

Akimi4 [234]2 years ago
4 0

Answer:

it is x = -48

Step-by-step explanation:

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Automobile repair costs continue to rise with the average cost now at $367 per repair (U.S. News & World Report website, Jan
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\mu = 367

\sigma = 88

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We are supposed to find P(x > 450)

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z=0.9431

Refer the z table :

P(z<0.9431)=0.8264

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Hence the probability that the cost will be more than $450 is 0.1736

b)What is the probability that the cost will be less than $250?

We are supposed to find P(x<250)

Formula : z=\frac{x-\mu}{\sigma}

z=\frac{250-367}{88}

z=-1.3295

Refer the z table :

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Hence the probability that the cost will be less than $250 is 0.0934

c)What is the probability that the cost will be between $250 and $450?

P(250<z<450)=P(z<450)-P(z<250) = 0.8264 - 0.0934 =0.733

Hence the probability that the cost will be between $250 and $450 is 0.733

d)  If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?

p = 0.05

refer the z table

z = -1.65

Formula : z=\frac{x-\mu}{\sigma}

-1.65=\frac{x-367}{88}

-1.65 \times 88=x-367

-145.2+367=x

221.8=x

Hence If the cost for your car repair is in the lower 5% of automobile repair charges, so, cost is $221.8

4 0
2 years ago
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