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3 years ago

Which expression is equivalent to the expression shown?

Mathematics

2 answers:

Andrew [12]3 years ago

6 0

The answer would be D.

Nookie1986 [14]3 years ago

6 0

I think it’s b? cause it’s basically the same one just more split up!

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vladimir2022 [97]

Answer:

line number one is the answer

4 0

3 years ago

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

Chris eats 3 slices of a pizza that is cut into 8 equal slices. what percentage of the pizza does he eat? 35.0% not here 37.5% 3

vladimir2022 [97]

3/8 = 3/8 * 100 = 37.5%

4 0

3 years ago

Read 2 more answers

Calvin has a book with 120 pages. The page numbers are only printed on the odd numbered pages. What is the sum of these numbers

LekaFEV [45]

Answer:

now we know that

book is 120page

__6785

6 0

2 years ago

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lianna [129]

Answer:

The volume of the tissue is 42 cubic inches

Step-by-step explanation:

Given

$Base\ Area = 8.4in^2$

$Height = 5in$

Required

The volume of the tissue

This is calculated as:

$Volume = Base\ Area * Height$

So, we have:

$Volume = 8.4in^2 * 5in$

$Volume = 42in^3$

3 0

3 years ago