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Lina20 [59]
4 years ago
6

John earns $50 less than three times as much as Sam each week. Together Sam and John earn $1200 A week. How much does Sam earn q

uestion
Mathematics
1 answer:
docker41 [41]4 years ago
3 0

Answer:

The earning of Sam is $312.5  

Step-by-step explanation:

Given as :

The total earning of John and Sam together = $1200 per week

Let the earning of sam each week = x

So, The earning of John is ( 3 x - $50 )

Now, According to question

John earning + Sam earning = $1200 per week

So,  ( 3 x - $50 ) + x = $1200

Or,   4 x  - $50 = $1200

Or,   4 x = $1200 + $50

Or,   4 x = $1250

∴        x = \frac{1250}{4} = $312.5

And ( 3 x - $50 ) = 3 × $312.5 - $50

So,                       = $ 887.5

Hence The earning of Sam is $312.5    Answer

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Answer:

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Step-by-step explanation:

Simplifying

6x + 1 = 49

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Solving

1 + 6x = 49

Solving for variable 'x'.

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1 + -1 + 6x = 49 + -1

Combine like terms: 1 + -1 = 0

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The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi
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Answer:

0.9

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230258.5

Step-by-step explanation:

Given that:

μ = 100,000

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a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

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b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

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c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

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