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2 years ago

What is the result when we simplify the expression ( 1 + 1/ x ) ( 1 − 2/ x + 1 ) ( 1 + 2/ x − 1 )

Mathematics

1 answer:

BaLLatris [955]2 years ago

5 0

Answer:

$\frac{4(x + 1)(x - 1)}{ {x}^{3} }$

Step-by-step explanation:

I have a app called photomath, I really hope this works.

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If you saved 2.00 on january 1, 4.00 on february 1, 6.00 on march 1 and so on how much money would you save in a year

Ronch [10]

The answer that I got:

$156

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2 years ago

Determine if the following statement is true or false.

Alla [95]

Answer:

A. True

Step-by-step explanation:

The general formula for predicting an outcome in a binomial probability distribution function is: nCx(p)^x(q)^(n-x)

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2 years ago

Compute the Gross Pay for these situations:

andrew-mc [135]

62525262626

Step-by-step explanation:

52525252+45541537948-5751576544+4246-5484-24848+2757%

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1 year ago

The arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M. Find the probability

NeTakaya

Answer:

0.025

Step-by-step explanation:

Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.

If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40

Hence probability for arriving after 8.20 is 1/40

Prob he arrives at exactly 8.21 is 1/60

To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.

= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20

This is conditional probability and hence

= $P(professor arrives at 8.21)/P(professor arrives after 8.20)\\= \frac{\frac{1}{60} }{\frac{40}{60} } \\=\frac{1}{40} \\=0.025$

7 0

2 years ago

A rectangle has its vertices at (-4, -3), (-4,7), (1,7), (1, -3). What part, in percent, of the rectangle is located in Quadrant

Rasek [7]

Consider the attached figure. The whole rectangle is ABCD, while AEGF is the part located in the third quadrant. In fact, this quadrant is composed by all the points with both coordinates negative.

To answer the question, let's compute the area of the two rectangles and see what part of ABCD is AEGF.

A and B have the same x coordinate, so the length of AB is given by the absolute difference of their y coordinates:

$\overline{AB} = |A_y-B_y| = |-3-7| = |-10| = 10$

Similarly, but exchanging the role of x and y, we compute the length of BC:

$\overline{BC} = |B_x-C_x| = |-4-1| = |-5| = 5$

So, the area of the rectangle is $\overline{AB} \cdot \overline{BC} = 10\cdot 5 = 50$

The same procedure allows us to compute width and height of the sub-rectangle in the third quadrant:

$\overline{AE} = |A_y-E_y| = |-3-0| = |-3| = 3$

$\overline{EG} = |E_x-G_x| = |-4-0| = |-4| = 4$

So, the area of the portion located in the third quadrant is $\overline{AE} \cdot \overline{EG} = 3\cdot 4 = 12$

This means that the ratio between the two area is

$\cfrac{\text{area }AEGF}{\text{area }ABCD} = \cfrac{12}{50}$

If we want this ratio to be a percentage, just make sure that the denominator is 100:

$\cfrac{12}{50} = \cfrac{12}{50}\cdot \cfrac{2}{2} = \cfrac{24}{100} = 24\%$

3 0

2 years ago