Questions 3 and 4, no work required……………………………………
1 answer:
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Answer:
The correct option is 1.
Step-by-step explanation:
Inconsistent system: If the given system has no solutions, then it is an inconsistent system.
Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.
Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.
The given equations are
.... (1)
..... (2)
Add both equations.
Substitute this value in equation (1).
The system of equations has only one solution, i.e.,(3,5).
Therefore the given system is consistent and independent. Option 1 is correct.
Answer:
x = 2
Step-by-step explanation:
y =
If the denominator is equal to zero , then y is undefined.
this discontinuity can be found by equating the denominator to zero and solving for x.
x - 2 = 0 ⇒ x = 2 is the point of discontinuity
First, we need the probability of picking an odd number.
There are 5 cards in total, and 3 odd cards (3, 5, and 7).
That means that the probability that we'll draw an odd card would be .
Then, we have 4 cards left, and 2 even cards (4 and 6), meaning that the probability that we draw an even card will be or
.
To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.
or 0.3.
To convert this into a percentage, we multiply the decimal by 100.
.
So the probability of picking an odd number and then picking an even number is 30%.
Hope this helps!