PLEASE HELP URGENT!!!!!!

Mathematics

1 answer:

arlik [135]3 years ago

6 0

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Answer:

12/11 = 1 1/11 hours

Step-by-step explanation:

The total rate is the sum of the individual rates in rooms per hour.

Tom can paint 1/4 room per hour.

Sam and Victor can each paint 1/3 room per hour.

Their total rate is ...

1/4 +1/3 +1/3 = 11/12 . . . rooms per hour

The rate in "hours per room" is the inverse of this.

It takes them 12/11 = 1 1/11 hours to paint one room.

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The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. $\mu=12.30$ and $\sigma=0.20$

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

$P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587$