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Aliun [14]
1 year ago
7

What does the solution to a system of equations mean?

Mathematics
1 answer:
frozen [14]1 year ago
5 0

Answer:

The solution to a system of equations means the point must work. In both equations in the system, if you are asked if a point is a solution to an equation, you replace the variables with the given values and see if the two sides of the equation is equal "so is a solution"

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The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
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Answer:

4/3

Step-by-step explanation:

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2 years ago
Robert and Freddie like to go to the library in their town to borrow books. Robert goes to the library every 9 days and Freddie
Gwar [14]

Answer: 36 days

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.

7 0
2 years ago
Ellema knows that 1/5 written as a decimal is 0.2. How can Ellema use this information to find the decimal equivalent for 9/5 wi
Rus_ich [418]

Answer:

1.8

Step-by-step explanation:

0.2 times 5 is 1.8

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You need to write down the full question
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