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2 years ago

Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?

Mathematics

1 answer:

fiasKO [112]2 years ago

7 0

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

$0.1n = 5$

$n = \frac{5}{0.1}$

$n = 50$

John answered 50 questions.

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balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

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2 years ago

Find the area lying outside r=6cos(theta) and inside r=3+3cos(theta)

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A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ 
= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ 
= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. 
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= 3θ/2 +sin(2θ) - sin(θ) 

Area = A(π/3) - A(-π/3) 
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= π.

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