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DerKrebs [107]
2 years ago
6

Rory is playing a video game where each game lasts 1 3/4 hours he wants to play for 9 hours today and evening how many games can

he play
Mathematics
1 answer:
sesenic [268]2 years ago
6 0

Answer: He will play 5 games in 9 hours .

Explanation:

In 1\frac{3}{4}\text hours , he is playing 1 game

So, in 1 hour , he will play = \frac{4}{7} games

In 9 hours, he will play

 =\frac{4}{7}\times 9\\=\frac{4\times9}{7}\\=5.14

Number of games can't be in decimals it must be in integers so we will take 5 only .

so he will play only 5 games in 9 hours .

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The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
sukhopar [10]

Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

53% recognition rate in the town of Coffeeton.

This means that p = 0.53

Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.

This is P(X = 4) when n = 7. So

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

P(X = 4) = C_{7,4}.(0.53)^{4}.(0.47)^{3} = 0.287

So the anwer is:

B) 0.287

7 0
3 years ago
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Mau bought a television for 330.The tax rate is 8% what is the total amount paid for the television
nika2105 [10]
If the tax rate is 8%, we need to find 108% of the price, or 330 times 1.08, which is $356.4
7 0
3 years ago
Multiply -3x(4x - 5)
Burka [1]
Hopes this helps if right please mark as brainlist:

Answer: -12x^2 + 15x
5 0
2 years ago
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PLEASE HELP ASAP!!
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Answer:

The first term of the sequence is -120.

Step-by-step explanation:

The formula for the "nth" term of a geometric sequence is shown below:

an = a0*r^(n-1)

Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:

a0*r^(n-1) = an

a0 = an/[r^(n-1)]

We then apply the data given to us

a0 = 31.45728/[-0.8^(7-1)]

a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120

The first term of the sequence is -120.

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3 years ago
What is the midpoint between (3,5) and (7,9)
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