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Scilla [17]
3 years ago
8

Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith always bets that the outcome will be

one of the numbers 1 through 12, what is the probability that a. Smith will lose his first 5 bets
Mathematics
1 answer:
zimovet [89]3 years ago
4 0

Answer:

0.003

Step-by-step explanation:

Given: A roulette wheel consists of 38 numbers 1 to 36, 0, and double 0.

Smith bets that the outcome will be one of the numbers 1 through 12.

To find: probability that Smith will lose his first 5 bets

Solution:

Probability refers to chances of occurrence of some event.

Probability = Number of favourable outcomes/Total number of outcomes

Total number outcomes = 38

As Smith bets that the outcome will be one of the numbers 1 through 12, number of favourable outcomes is equal to 12.

So,

probability that Smith will loss his first bet = \frac{12}{38}=\frac{6}{19}

Therefore,

Probability that Smith will lose his first 5 bets = (\frac{6}{19} )^5=0.003

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A fair coin is tossed three times and is tails each time. What is the probability that the next toss will be
Sergio [31]

The probability that the next toss will be heads is 1/8.

<h3>What is probability?</h3>

The likelihood of an event occurring is described by probability. We frequently have to make forecasts about the future in real life. We may or may not be aware of the outcome of an event. When this happens, we declare that there is a chance the event will take place.

Using the probability formula, one can determine the likelihood of an event by dividing the favorable number of possibilities by the total number of options. Since the favorable number of outcomes can never be greater than the entire number of outcomes, the probability of an event happening can range from 0 to 1.

Probability of getting two tails and next heads in three tosses is,

=1/2*1/2*1/2

=1/8

Learn more about probability here:

brainly.com/question/24756209

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4 0
2 years ago
Let the demand function for a product be q = 100 - 2p. the inverse demand function of this demand function is:_______
Westkost [7]

The inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

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3 0
2 years ago
A car is on a driveway that is inclined 10 degrees to the horizontal. A force of 490 lb is required to keep the car from rolling
lara31 [8.8K]

Answer:

a) weight  of the car = 2816,1 lbs

b) 2773 lbs

Step-by-step explanation:

The equilibrium force is 490 lbs. That force keep the car at rest, then

∑ Fy  =  0     and  ∑Fx  =  0

Forces acting on the car:

The external force   490 lbs

weight of the car   uknown

Normal force

sin∠10°  =  0,174

cos∠10° = 0.985

∑Fx  =  0         mg*sin10°- 490 = 0      ∑Fy =  0      mg*cos10° - N  =  0

mg*0,174= 490

mg  =  490 / 0,174

mg = 2816,1 lbs

weight  of the car = 2816,1 lbs

The Normal force

mg*cos10° - N  =  0        2816,1 * 0,985 = N

N = 2773 lbs

Then equal force in magnitude and in opposite direction will car exets on the driveway

3 0
3 years ago
X + 18 greater than or equals 26
cricket20 [7]

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

~

5 0
3 years ago
Read 2 more answers
Simplifly the expression 2(x - 5)
defon

Answer:

2x - 10

Step-by-step explanation:

2(x - 5)

distribute

2*x - 2*5

2x - 2*5

2x - 10

7 0
3 years ago
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