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ivanzaharov [21]
3 years ago
8

What is the area of rectangle with the length of 5/8 in a width of 4/9 foot​

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

Answer:

he was a member of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first

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In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the
earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

7 0
3 years ago
Find the mean of the data set: 8, 6, 4.
White raven [17]
Mean = Sum / number

Mean = (8 + 6 +4) / 3

           =  18 / 3

           = 6

Mean = 6
3 0
3 years ago
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What is the value of y so that the equation is true?
polet [3.4K]

Answer:

I guess that You made a mistake and You wanted to solve equations \sqrt[2]{y} . Then the answer is D because There is no number that gives a negative number after the square root

Step-by-step explanation:

7 0
2 years ago
Simplify 3(2x + 5) <br> A. 6x + 30 <br> B.6x + 15<br> C. 6x + 5
Nana76 [90]

3(2x/5)  

Final result :

 6x

 ——

 5  

Step by step solution :

Step  1  :

           x

Simplify   —

           5

Equation at the end of step  1  :

          x

 3 • (2 • —)

          5

Step  2  :

Final result :

 6x

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5 0
3 years ago
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Several friends each had 2/5 of a bag of peanuts left over from the baseball game. They relized that they could have bought 2 fe
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5 friends went to the game because 2 divided by two fifths is five.
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