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Aloiza [94]
3 years ago
7

Play a video game that takes 5 minutes and make at least 12 shots that will result in 200 Virtual Coins per shot. If in one hour

, a game is played at least 12 games; with an average score of 12 points per game. What will be on average how many VCs earned? How many points received in an hour?
Mathematics
1 answer:
maw [93]3 years ago
7 0

28,000 Virtual coins.

1,728 shots.

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Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago
Find the value of x.
Novay_Z [31]

Answer:

x = 50°

Step-by-step explanation:

Angles in a quadrilateral add to 360°

First work out the interior missing angle

360° - ( 40° + 80° + 110° ) = 130°

Angles on a straight line add to 180° so

180° - 130° = 50°

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f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

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I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

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A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?
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Answer:

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A population, P, of birds is doubling in size each year, according to the model P = 100(2t), where t reperesents years. What was
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The initial population size was 200
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