Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:

Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:

Now, we can use simple substitution to solve for m, or the slope.

Therefore, the slope of the line is 1.
Answer:
12
Step-by-step explanation:
To solve the problem, you have to leave the x alone,
To do so, you have to add 84 on each side
12x = 4x + 96
Then, subtract 4x on each side,
8x = 96
Then divide each side by 8, so
x = 12
Hope it helps!!
Let me know if I'm wrong or you need help on anything else!!
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Answer:
3)5x-4y=-3
6x+4y=14
Step-by-step explanation:
The system of equations is given
5x-4y=-3
3x+2y=7
Multiplying both sides of the lower equation by 2, we get
6x + 4y = 14
That means your answer 3)
Answer:
i) Probability that both candidates employed are women = 5/14
ii) Probability that the second candidate is a woman = 5/8
iii) Probability that the first candidate is a woman given that second one is a woman = 4/5
Step-by-step explanation:
Let the probability that a man is employed be P(M) = 3/8
Probability that a woman is employed P(W) = 5/8
a) Probability that both candidates employed are women = (5/8) × (4/7) = 5/14
b) Probability that the second candidate is a woman = (probability that first candidate is a man and second candidate is a woman) + (probability that first candidate is a woman & second candidate is a woman)
= (3/8)(5/7) + (5/8)(4/7) = (15/56) + (20/56) = 35/56 = 5/8
c) Probability that the first candidate is a woman given that second one is a woman
Given that the second candidate was a women, means that the first candidate-women was selected among other four women.
Probability = (4/8)/(5/8) = 4/5