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Sergeeva-Olga [200]
3 years ago
13

Which Law would you use to answer the following question: What is the chance of flipping a coin and getting four heads in a row?

(NOTE: H1 = heads on the first roll, H2 = heads on the second roll, etc.)
A) P(4 heads in a row) = P(H1) x P(H2) x P(H3) x P(H4)
B) P(4 heads in a row) = P(H1) + P(H2) + P(H3) + P(H4)
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

Option A) is correct.

Step-by-step explanation:

Probability refers to the occurrence of some event.

To find: the probability of flipping a coin and getting four heads in a row.

Let H_1,H_2,H_3,H_4 denote heads on the first, second, third and fourth roll.

According to multiplicative law of probability,

The probability of occurrence of two or more events occurring together is equal to the product of the probability of occurrence of each of the events.

Using this rule, the probability of flipping a coin and getting four heads in a row is equal to

P=P(H_1)\times P(H_2)\times P(H_3)\times P(H_4)

Option A) is correct.

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son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

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2 years ago
Which is the best estimate of the mass of a skateboard
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The angle measurements in the diagram are represented by the following expression
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Answer:

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Which shape could be thought of as being created by stacking congruent polygons
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When they talk about congruent polygons, they meant geometric figures that are all equal in shape and size.

It's angled, and the side length is equal too.

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If you stack squares, you'll have a cube.

If you stack octagons, you'll have an octagon prism.

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aliina [53]

Answer:

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Step-by-step explanation:

3/5+1/4=12/20+5/20 (you want to find a common denominater, so its easier to add up.)

12/20+5/20=17/20, so Carla has finished washing 17/20 of her laundry.

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