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bearhunter [10]
3 years ago
9

A special roulette​ wheel, which has an equal number of red and black​ spots, has come up red four times in a row. Assuming the

roulette wheel is​ fair, what concept allows a player to know that the probability of the next spin of the wheel will come up black is​ 0.5? Choose the correct answer below. A. dependent events B. mutually exclusive events
Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

The correct answer is option B.

Step-by-step explanation:

The basic reasoning indicates that in roulette you can only get red or black in an instant (one time), then every time you turn the wheel, the probability of getting red or black is (0.5) 50% due to which they are mutually exclusive events.

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stiv31 [10]

Answer:

the answer would be 1/64

Step-by-step explanation:

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3 years ago
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Prove that<br> 1+cosθ+sinθ/1+cosθ-sinθ = 1+sinθ/cosθ
marusya05 [52]

Step-by-step explanation:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ)

Multiply by the reciprocal:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)

(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]

(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]

Distribute and simplify:

(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)

[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)

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Use Pythagorean identity:

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)

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Factor:

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3 0
3 years ago
A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
3 years ago
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An advertising company conducted a survey to determine how often people of different ages shopped online. The table shows the da
ohaa [14]

Answer:

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hope it helps

have a nice day

4 0
3 years ago
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Paul [167]

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______________________

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