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Law Incorporation [45]
3 years ago
10

1 r 2 (the symbol is pi) is the formula to find the area of a

Mathematics
2 answers:
katrin [286]3 years ago
4 0
The answer is d. circle
vaieri [72.5K]3 years ago
3 0

Answer:

d: circle

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

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Because 2×(-6) is - 12

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If a circle has a radius of 4 inches, what is the diameter <br> Please help Please<br> Save a woman
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3 years ago
Consider the following probability distribution function of the random variable X which represents the number of people in a gro
Troyanec [42]

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.

3 0
2 years ago
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