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Luda [366]
3 years ago
11

Given p(a) =0.7, P(b) = .86 and P (A and B) = 0.652 find the value of p (A|B)

Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

.758 or 163/215

Step-by-step explanation:

Conditional probablity formula:

(A|B)= (A∩B)/B

we have

.652/.86

this equals .758 or 163/215

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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it
Rashid [163]

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

1vat/5hours

<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

           rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)

          time=40/3hours\approx 13.3hours

7 0
3 years ago
1 Point
Anastasy [175]

Answer:

61%

Step-by-step explanation:

it's really simple just take the percentage of both numbers, 42% and 19% and add them together and whatever the sum is, is gonna be your answer!

5 0
3 years ago
How do you convert this decimal 0.3333 to a fraction?
torisob [31]

Answer:

1/3

Step-by-step explanation:

To convert a decimal to percent, we multiply the decimal by 100. To convert a fraction to decimal, we divide the numerator by the denominator using long division and to convert a fraction to percent, we convert the fraction to decimal and the decimal to percent.

8 0
4 years ago
The watermelon bought by Peter is 3 times as heavy as the papaya bought by Paul. If the watermelon bought by Peter has a mass of
Juli2301 [7.4K]

Answer:

12.6

Step-by-step explanation:

4.2×3=12.6

I hope this answer can help you

5 0
2 years ago
Read 2 more answers
A membership to the local gym cost $40 and then $2 per visit. What is the maximum number of visits that can be made for $90 and
gtnhenbr [62]
90-40=50: $90 dollars total. $40 dollars of that is the the cost so you have $50 dollars to find out.

$50÷$2=25: You have $50 dollars left and each visit is $2 so you went 25 times.

6 0
4 years ago
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