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Anvisha [2.4K]
3 years ago
15

What is P(4 ≤ X ≤ 6)? Explain. If P(X ≤ a) = 0.2, what is a? Explain.

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

Answer:

(a) 0.4

(b) a = 3

Step-by-step explanation:

(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)

(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.

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What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)
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9514 1404 393

Answer:

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Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

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Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

  \dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}

3 0
3 years ago
163.64 nearest cent?????????????????????????
Afina-wow [57]
163.65 since it would meet in the middle
3 0
3 years ago
Read 2 more answers
Name: Michael Gutierrez
serious [3.7K]

Answer:

TU

Step-by-step explanation:

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