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Elena L [17]
3 years ago
15

Martin randomly selects 3 days of the week to work at his uncle's farm.

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
A week has 7 days. That is, number of total days, n = 7
Number of Mondays in a week = 1
Number of Tuesdays in a week = 1
Number of Fridays in a week = 1

This is a case of selecting without replacement in that order.

P(Monday) = 1/7
P(Tuesday) = 1/(n-1) =1/(7-1) = 1/6
P(Friday) = 1/(n-2) = 1/(7-2) = 1/5

P(Monday, Tuesday, and Friday) = (1/7)*(1/6)*(1/5) = 1/210
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A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
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Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

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3 years ago
What is the range of the function f(x) = -4|x + 1| − 5?
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Answer:

answer is A

Step-by-step explanation:

hope that helps

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2 years ago
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Step-by-step explanation:

step 1. use the poisson formula given as

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