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2 years ago

12

Marcel brought in 40 cookies to share equally with his classmates.

1 answer:

klemol [59]2 years ago

3 0

Answer: A

Step-by-step explanation: you would multiply

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Jan needed to empty 18 gallons of water from a tub into jugs that hold 0.5 gallons of water. How many jugs did Jan need?

Ilia_Sergeevich [38]

So you would do,
18 gallons of water divided by 0.5 gallons of water
if you did that correctly you should have gotten... 36 jugs

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2 years ago

Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v

ElenaW [278]

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13.3

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2 years ago

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Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $145.22. What is the first st

Kaylis [27]

Answer:

15% off

Step-by-step explanation:

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2 years ago

Susan’s weekly earnings were proportional to the number of hours she worked. This table shows

AnnyKZ [126]

The answer is $19.00

7 0

2 years ago

The number of people in a car that crosses a certain bridge is represented by the random variable X, which has a mean value μX =

Alona [7]

Let $Y$ be the total amount of money paid by any given set of passengers. If there are $X$ passengers in a car, then the driver must pay a toll of $Y=0.5X+3$ .

Then $Y$ has first moment (equal to the mean)

$E[Y]=E[0.5X+3]=0.5E[X]+3E[1]=0.5\mu_X+3=\boxed{4.35}$

and second moment

$E[Y^2]=E[0.25X^2+3X+9]=0.25E[X^2]+3E[X]+9E[1]=0.25E[X^2]+3\mu_X+9$

Recall that the variance is the difference between the first two moments:

$\mathrm{Var}[X]=E[X^2]-E[X]^2\implies E[X^2]={\sigma^2}_X+{\mu_X}^2$

$\implies E[Y^2]=0.25({\sigma^2}_X+{\mu_X}^2)+3\mu_X+9\approx19.22$

$\implies\mathrm{Var}[Y]=E[Y^2]-E[Y]^2=\boxed{0.3}$

3 0

2 years ago