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3 years ago

Jennifer earns $39 for 6 hours of babysitting.how much will she earn for 10 hours

2 answers:

7 0

First find out how much she get paid per hour so to find that, you would divide

39/6= $6.5 so she get paid $6.50

So just multiply 6.5 by 10 and you would get 65

So she will earn $65 in 10 hours

nadya68 [22]3 years ago

4 0

Find the unit rate.

39/6 = 6.5

$6.50 an hour

multiply this by ten to find the cost for 10 hours

$6.5 x 10 = $65

she will earn $65 in ten hours.
hope this helps! :D

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At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

What is the answer to 1 3 x + 5 x = -6

mixer [17]

Answer:

x2-6=5x

Step-by-step explanation:

4 0

3 years ago

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denis-greek [22]

Pretty sure it's right top corner

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3 years ago

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C=30m+50 and c=20m+100<br> solve for m pls help

Sholpan [36]

Answer:

m=5

Step-by-step explanation:

c=30m+50

c=20m+100

substitute

20m+100=30m+50

like terms

100-50=30m-20m

50=10m

m=5

6 0

3 years ago

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What is 0.40506100 in scientific notation

Olenka [21]

Answer:

4.0506100 x 10^-1

Step-by-step explanation:

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4 years ago