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Pie
2 years ago
14

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf. If he complet

es a goblin and an elf at the same time, after how many rounds will he complete another goblin and elf at the same time?
Mathematics
1 answer:
marusya05 [52]2 years ago
4 0

Answer:

24 rounds

Step-by-step explanation:

This question has to do with a factor of numbers which we refer to as:

Lowest common multiple.

Lowest common multiple can be defined as the Lowest multiple that is common to the multiple of two numbers.

We are told in the question that:

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf.

We find the multiples of 6 and 8

6 = 1, 6, 12, 18, 24, 48, 54, 60, 66, 72 e.tc.

8 = 1, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, e.t.c

The Lowest Common Multiple: This is the least or lowest multiple that is common to both 6 and 8

= 24.

Therefore, it will take 24 rounds for Lloyd to complete another goblin and elf at the same time

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Answer:

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Step-by-step explanation:

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3 years ago
You work at a job where your average monthly earnings are $682 with a standard deviation of $49. Your mean monthly expenses are
Pavel [41]

Answer:

S = I-E.

We can find the expected value of S and we got:

E(S) = E(I-E) = E(I) -E(E)= 682-211=471

And that represent the mean of the amount of money into your savings account each month

And now we can find the variance of the random variable S like this:

Var(S) = Var(I-E) = Var(I) +Var(E) - 2Cov(I,E)

And since we know that Cov (I,E) =0 then we have:

Var(S) = Var(I) + Var(E) = 49^2 + 16^2 = 2657

And then the deviation would be:

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And that represent the standard deviation of the amount of money you put in your savings account each month

Step-by-step explanation:

Let I the random variable that represent the income for each month and we know:

E(I) = 682, \sigma_I = 49

Let E the random variable that represent the monthly expenses for each month and we know:

E(E)= 211, \sigma_E = 16

And for this case we know that the random variables I and E are independent, so then Cov(I, E) = 0

We can define the random variable S representing the amount that we can save each month and we can define S = I-E.

We can find the expected value of S and we got:

E(S) = E(I-E) = E(I) -E(E)= 682-211=471

And that represent the mean of the amount of money into your savings account each month

And now we can find the variance of the random variable S like this:

Var(S) = Var(I-E) = Var(I) +Var(E) - 2Cov(I,E)

And since we know that Cov (I,E) =0 then we have:

Var(S) = Var(I) + Var(E) = 49^2 + 16^2 = 2657

And then the deviation would be:

Sd(S) = \sqrt{2657}= 51.546

And that represent the standard deviation of the amount of money you put in your savings account each month

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Answer:

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Step-by-step explanation:

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