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krek1111 [17]
3 years ago
13

Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of th

em have?
Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

John has $119 Erin has $111 Mary has $37

Step-by-step explanation:

Consider the provided information.

Let John has x dollar.

Erin has $8 less than John = x-8

Mary has a third of the money that Erin has = 1/3(x-8)

Together they have $267.

x+x-8+\frac{1}{3}(x-8)=267

2x+\frac{1}{3}\times x-\frac{1}{3}\times 8=267+8

2x+\frac{x}{3}-\frac{8}{3}=275

Multiply both sides by 3.

6x+x-8=825

7x=825+8

7x=833

x=119

Thus, John has $119

Erin has $8 less than John = $119-$8 = $111

Mary has a third of the money that Erin has = 1/3($119-$8) = $37

svet-max [94.6K]3 years ago
5 0

Mary = (1/3)x

Erin = x - 8

John = x

Here is your equation:

(1/3)x + (x - 8) + x = 267

Take it from here.

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\mu = 250, \sigma = 175.781

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

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Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:

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P(X

P(X>475) = 0.1 or equivalently P(X

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So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

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We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

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So then the answer would be:

\mu = 250, \sigma = 175.781

 

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