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Simora [160]
2 years ago
10

Find the area of the circle. Leave your answers in terms of pi.

Mathematics
2 answers:
lutik1710 [3]2 years ago
8 0

Answer:

Step-by-step explanation:

The diameter = 14m

r = d/2

r = 14/2

r = 7

Area = pi * r * r

Area = 7 * 7 * pi

Area = 49 pi

Savatey [412]2 years ago
3 0

Answer:

49pi m^2

Step-by-step explanation:

Area of circle=pi r^2

D=2r=14

r=7

Area of circle =7^2pi=49pim^2

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Consider the following probability distribution function of the random variable X which represents the number of people in a gro
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Answer:

(a) 3.55

(b) 3.45 and 1.86

(c) 0.25

(d) 0.016

Step-by-step explanation:

The random variable <em>X</em> denotes the number of people in a group (party) at a restaurant.

(a)

The formula to compute the mean is:

\mu=\sum {x\cdot P(X=x)}

Consider the Excel sheet attached.

The mean is, 3.55.

(b)

The formula to compute the variance is:

\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}

Consider the Excel sheet attached.

Compute the variance as follows:

\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45

The variance is, 3.45.

Compute the standard deviation as follows:

\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86

The standard deviation is, 1.86.

(c)

Compute the probability that the next party will be over 4 people as follows:

P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25

Thus, the probability that the next party will be over 4 people is 0.25.

(d)

Compute the probability that the next three parties will each be over 4 people as follows:

It is provided that the three parties are independent.

P (Next 3 parties will be each over 4) = [P (X > 4)]³

                                                           =(0.25)^{3}\\=0.015625\\\approx 0.016

Thus, the probability that the next three parties will each be over 4 people is 0.016.

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3 years ago
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After two weeks the duck will be .89 kilograms.
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Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which
Norma-Jean [14]

Answer:

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Step-by-step explanation:

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What do you call the set of numbers that
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Answer:

integers

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