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AveGali [126]
3 years ago
14

I posted this 2 hours ago can someone pls help?

Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0

Answer:

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons  required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The  area of the circular region, A  = \pi r^2

where r is the radius

Now substituting r =  40 , we get

A = \pi \times 40

A = 125.6 ft^2

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet  = 1 gallon

so to cover 1 square feet  = \frac{1}{400}gallon

Now to cover 125.6 ft we need

125.6 \times \frac{1}{400}

\frac{125.6}{400}

=> 0.314 gallon

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Answer:

i) Probability that both candidates employed are women = 5/14

ii) Probability that the second candidate is a woman = 5/8

iii) Probability that the first candidate is a woman given that second one is a woman = 4/5

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Let the probability that a man is employed be P(M) = 3/8

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a) Probability that both candidates employed are women = (5/8) × (4/7) = 5/14

b) Probability that the second candidate is a woman = (probability that first candidate is a man and second candidate is a woman) + (probability that first candidate is a woman & second candidate is a woman)

= (3/8)(5/7) + (5/8)(4/7) = (15/56) + (20/56) = 35/56 = 5/8

c) Probability that the first candidate is a woman given that second one is a woman

Given that the second candidate was a women, means that the first candidate-women was selected among other four women.

Probability = (4/8)/(5/8) = 4/5

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