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jek_recluse [69]
3 years ago
5

Given the following rectangle and circle, at what approximate value of x are the two areas equal? Show work and explain all step

s.

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

x ≈ 1.28

Step-by-step explanation:

I just took the exam:

Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.

I hope this helped! :)

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Of the cartons produced by a​ company, ​% have a​ puncture, ​% have a smashed​ corner, and ​% have both a puncture and a smashed
LuckyWell [14K]

Full Question

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Answer:

P(Punctured\ or\ Smashed\ Corner) = 0.156

Step-by-step explanation:

Given

Puncture\ Corner = 10\%

Smashed\ Corner = 6\%

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Required

P(Punctured\ or\ Smashed\ Corner)

For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;

P(Punctured\ or\ Smashed\ Corner) = P(Punctured\ Corner) + P(Smashed\ Corner) - P(Punctured\ and\ Smashed\ Corner)

Substitute:

10% for P(Puncture Corner),

6% for P(Smashed Corner) and

0.4% for P(Punctured and Smashed Corner)

P(Punctured\ or\ Smashed\ Corner) = 10\% + 6\% - 0.4\%

P(Punctured\ or\ Smashed\ Corner) = 15.6\%

Convert % to fraction

P(Punctured\ or\ Smashed\ Corner) = \frac{15.6}{100}

Convert to decimal

P(Punctured\ or\ Smashed\ Corner) = 0.156

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