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miss Akunina [59]
2 years ago
11

Inscribe a circle in a unit square and to r= 1000 random.

Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

Step-by-step explanation:

area of square = 1

area of a circle in square = \pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}

bu estimate  p^ = X/n = 760/1000 = 0.76Therefore, 
[tex]\frac{\pi }{4} \approx 0.76

\pi \approx 0.76*4 =3.04

b) if n tend to infinity

\pi will approach 3.14

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In the following figure, the value of x is____
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Answer:

x ≈ 8.3 ( to the nearest tenth )

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos41° = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{x}{11}

Multiply both sides by 11

11 × cos41° = x, thus

x ≈ 8.3

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Hailey had 1/5 of a chocolate bar. She decided to
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1/15 each

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1/5 of chocolate is separated into 3

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Read 2 more answers
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

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3 years ago
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