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kirza4 [7]
2 years ago
8

Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt h

as saved $3 and can earn $4 per hour working at his family's restaurant. After how many hours of work will Samantha and Matt have earned the same amount?
Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

  • 6 hours

Step-by-step explanation:

<u>We know that:</u>

  • Samantha = 15 + 2x
  • Matt = 3 + 4x
  • Samantha = Matt
  • [x = Number of hours]

<u>Solution:</u>

  • 15 + 2x = 3 + 4x
  • => 15 - 3 = -2x + 4x
  • => 12 = 2x
  • => x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

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Advocard [28]

Answer:

Step-by-step explanation:

i assume x+y=6(1/2)=\frac{13}{2}

\frac{5}{8}=\frac{x}{y}=\frac{x}{\frac{13}{2}-x}=\frac{2x}{13-2x}\\65-10x=16x \\26 x=65\\2x=5\\x=\frac{5}{2}\\y=\frac{13}{2}-\frac{5}{2}=\frac{8}{2}=4

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3 years ago
F '(x) = sin(x) - 65<br> What is f(x)?
irakobra [83]

Hello,

f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x

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1 year ago
What multiples to -52 but also adds to 24
ANTONII [103]

Answer:

-2 and 26

Step-by-step explanation:

-2*26=-52

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2 years ago
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

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3 years ago
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Answer:

$561

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4100 x0,06=  246

246+315=561

4 0
3 years ago
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