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3 years ago

A freaction that is less than 5/6

Mathematics

1 answer:

ozzi3 years ago

8 0

1/2 because it is equal to .50 and 5/6 is equal to 0.83

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A major credit card company has determined that customers charge between $100 and $1100 per month. If the monthly amount charged

Alexxx [7]

Answer:

a) $E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

b) First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

c) $P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

d) $P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

Step-by-step explanation:

For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:

$X \sim Unif (a= 100, b=1100)$

Part a

For this case the average is given by the expected value and we can use the following formula:

$E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

Part b

First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

Part c

For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:

$F(x) = \frac{X -100}{1100-100}= \frac{x-100}{1000}, 100 \leq X \leq 1100$

And we can find this probability:

$P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

Part d

$P(311 < X< 889) = P(X$

And using the cdf we got:

$P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

6 0

3 years ago

2x - 2y = 22 find the value of y when x equals 2

Vika [28.1K]

Answer:

y=-9

Step-by-step explanation:

If x equals 2, then we can substitute that into the equation, resulting in the equation 2*2-2y=22

We can solve for multiplication first:

4-2y=22

Then we can subtract four on both sides, canceling out the four on the left side:

-2y=18

Now to isolate y, we divide both sides by -2, resulting in the solution:

y=-9

Hope this helps!

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Is (7,0) a solution to the equation y = 2x + 7?

polet [3.4K]

Answer:

here's an app that might explain it better, i use it alot, sybolab.com

Step-by-step explanation:

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3 years ago

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Given 1000x = 1000, what is x?

Step2247 [10]

Answer:

x = 1

Step-by-step explanation:

Given

1000x = 1000 ( divide both sides by 1000 )

x = $\frac{1000}{1000}$ = 1

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There the same right

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