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vladimir2022 [97]
3 years ago
12

Molly has enough paint to cover an area of 250 ft.² she wants to paint to walls the rectangle or wall is 8 feet high and 30 feet

wide the square wall has a height of 9 feet does Molly have enough paint to cover the area of both walls?
Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Answer:

Step-by-step explanation:

Area of rectangle = length x width

Area of square = side x side

Given: Dimension of rectangular wall: 8 feet high and 30 feet wide

Area of rectangular wall = 8 feet x 30 feet = 240 ft²

Height of square wall = 9 feet

Area of square wall = 9 x  9 ft² = 81 ft²

Total area need to paint = 240 ft²+  81 ft² = 321 ft² > 250 ft.²

i.e. Molly does not have enough p[aint to cover both walls.

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Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

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4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

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Then, the probability P(B) that at least three are aces is:

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P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

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