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Karo-lina-s [1.5K]
2 years ago
5

Monique drew a square and inscribed circle on a sheet of paper, as shown below

Mathematics
1 answer:
Irina-Kira [14]2 years ago
4 0
If you know the area of the square is 256 and the area of the circle is 200.96 you subtract 200.96 from 256 and you get 55.04 is the area of the square that is not covered by the circle. so 55.04/256  because that will give you the percent of the area that is outside that circle but inside the square and you get .215 or 21.50%
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Scott is on his school's academic team. On average, it takes Scott 4 minutes, with a standard deviation of 0.25 minutes, to solv
uysha [10]

Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(more than 4.25 minutes to solve a problem)

P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

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