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Serggg [28]
3 years ago
7

Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?​

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
odds against drawing a Jack are 48:4
odds in favor of drawing a Jack are: 4:48
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A teacher is making identical packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets she can ma
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Write an equation for each description. a number increased by 10 is 114
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4 years ago
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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
3 years ago
A bakery can make 60 donuts in 15 donutes. What is the unit rate at which the bakery makes donuts.
maria [59]

Answer:

4 donuts per minute/(donutes is that a typo?)

Step-by-step explanation:

if a bakery can make 60 donuts in 15 minutes, that is 60 donuts/15 minutes.

to reduce this fraction, the top and bottom can be divided by 15 to get 4 donuts/1 minute.

7 0
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