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Luba_88 [7]
3 years ago
13

Two pipes are used to fill a water storage tank. The first pipe can fill the tank in

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0

Answer:

2 hours for the 2 pipes

Step-by-step explanation:

1 pipe for a tank is 4 hours, but since 2 pipes is 2 hours less, it would take the two pipes together 2 hours

Alexus [3.1K]3 years ago
6 0
X = time it takes for the second pipe to fill the tank
x-2 = time it takes for both pipes to fill the tank
1/4 = portion of the tank filled by the first pipe in one hour
1/x = portion of the tank filled by the second pipe in one hour
1/(x-2) = portion of the tank filled by both pipes

Now you have your equation,
1/4 + 1/x = 1/(x-2)

You should be good now
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
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Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
In an orchard, there are 6 apple trees for every 4 pear trees. Create a ratio table to determine the number of apple trees in th
tamaranim1 [39]

Answer:

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Answer:

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3 years ago
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