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Liula [17]
2 years ago
14

What is the best approximation for the area of this circle? Use 3. 14 to approximate pi. 18. 8 ft² 37. 7 ft² 75. 4 ft² 113. 0 ft

².
Mathematics
1 answer:
xeze [42]2 years ago
7 0

The best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

<h3>What is the area of the circle?</h3>

The area of the circle is the space occupied by that circle in 2 dimensional plane or space. It can be given as,

A=\pi r^2

Here, (r) is the radius of the circle.

The image of the circle is attached below. In the given figure the center of the circle is O and the radius of the circle is 6 cm.

Thus the area of this circle can be find out using the above formula as,

A=\pi (6)^2\\A=3.14\times6^2\\A=113.04\\A\approx113\rm ft^2

Thus, the best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

Learn more about the area of the circle here;

brainly.com/question/402655

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A personnel director interviewing 12 senior engineers for five job openings has scheduled seven interviews for the first day and
bezimeni [28]

Answer:

a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b) 2.92

Step-by-step explanation:

a)

Here

Number of interviewees = N = 12

Number of job openings = M = 5

Interviews schedules for the first day =  n = 7

N − M = 12 - 5 = 7

Using hypergeometric distribution:

Let X be the no. top four candidates interviewed on first day.

The probability mass function of X:

P(X = x) = (^{M} C_{x})   (^{N-M} C_{n-x}) /  (^{N} C_{n})

It can be written as:

h(x; n, M, N)  =  (^{M} C_{x})   (^{N-M} C_{n-x}) /  (^{N} C_{n})    

                    = (5Cx) (7C7-x) / (12C7)

                    = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b)

The expectation is: E(X) = np

E(X) = n * M/N

              = 7 * 5/12

              = 7 * 0.41667

              = 2.9167

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vovangra [49]

Answer:

it is 6240

Step-by-step explanation:

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4 years ago
Can someone give me a step by step explanation because my teacher doesn’t teach us anything? :(
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Answer:

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Step-by-step explanation:

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We can factor this by grouping - that is factoring the first 2 terms and the last 2:

= 7x^2(x - 2)  - 1(x - 2)      <-- the x - 2 is common to both parts so we have:

(7x^2 -1)(x - 2).

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