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ioda
3 years ago
5

Solve the system by the method of substitution x + y = 0 and 4x+3y =10

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

Make both equations equal to x

-y=x

-3/4y+5/2=x

Subsitute:

1/4y=5/2

Multiply by 4:

y=10

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You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your fr
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2 years ago
he lifespan of the Ebola virus on flat dry surfaces has a normal distribution with μ = 643.6 minutes and σ = 77.7 minutes. You m
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Answer:

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem

The mean of the population is 643.6 minutes.

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5 0
3 years ago
To borrow​ money, you pawn your guitar. Based on the value of the​ guitar, the pawnbroker loans you ​$960. One month​ later, you
Diano4ka-milaya [45]

The money was paid at an annual interest of 261.42%

Explanation:

  • The initial amount of the guitar when it was loaned was $960. After a month the guitar cost $1,170. This means that in one month the price went from $960 to $1,170.                                                                               Increase in cost = Difference between two costs = $1,170 - $960 = $210.
  • To convert this into a percent we divide the difference in value by the original price and multiply the answer with 100 to convert it into a percentage.                                                                                                      % increase in cost = difference between two costs / original cost                                                                                           % increase in cost = ($210 / $960) * 100 = 0.21785 * 100 = 21.785%
  • This 21.875% was the monthly interest that was paid. To convert it into annual interest rate we multiply it with the 12 months.
  • Annual interest rate = monthly interest rate * 12 = 21.785% * 12 = 261.42%. This means if the guitar was loaned for a year, you would have to pay $3469.44.
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3 years ago
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Answer:

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Step-by-step explanation:

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