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cupoosta [38]
3 years ago
9

Solve 3X -9X plus 7 - 3= -8

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

Step-by-step explanation:

3x-9x+7-3=8

-6x+10=8

-6x+10-10=8-10

-6x=-2

-6x/-6=-2/-6

x=2/6 or 1/3

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Step-by-step explanation:

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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.

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3 years ago
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faltersainse [42]

Answer:

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Step-by-step explanation:

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2 years ago
If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last?
Delicious77 [7]

Answer: 55 minutes

Step-by-step explanation:

If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last? 55 minutes

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3 years ago
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