40% is the answer. you create a ratio and percent table is a way of solving it. Hope this helps!
Answer:
Step-by-step explanation:
Your line has the wrong slope. Its slope is ½, but the equation tells you that the slope is ¾.
The point (0,2) is correct, but (-4,0) is incorrect. If x=-4 then y=-1, not 0.
Plot (-4,-1), then draw the line passing through (-4,-1) and (0,2).
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!
Answer:
![P(X\leq x) =\frac{x-a}{b-a}, a \leq x \leq b](https://tex.z-dn.net/?f=%20P%28X%5Cleq%20x%29%20%3D%5Cfrac%7Bx-a%7D%7Bb-a%7D%2C%20a%20%5Cleq%20x%20%5Cleq%20b)
And using this formula we have this:
![P(X](https://tex.z-dn.net/?f=%20P%28X%3C11%29%20%3D%20%5Cfrac%7B11-0%7D%7B12-0%7D%3D%200.917)
Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917
Step-by-step explanation:
Let X the random variable of interest that a woman must wait for a cab"the amount of time in minutes " and we know that the distribution for this random variable is given by:
![X \sim Unif (a=0, b =12)](https://tex.z-dn.net/?f=%20X%20%5Csim%20Unif%20%28a%3D0%2C%20b%20%3D12%29)
And we want to find the following probability:
![P(X](https://tex.z-dn.net/?f=%20P%28X%3C11%29)
And for this case we can use the cumulative distribution function given by:
![P(X\leq x) =\frac{x-a}{b-a}, a \leq x \leq b](https://tex.z-dn.net/?f=%20P%28X%5Cleq%20x%29%20%3D%5Cfrac%7Bx-a%7D%7Bb-a%7D%2C%20a%20%5Cleq%20x%20%5Cleq%20b)
And using this formula we have this:
![P(X](https://tex.z-dn.net/?f=%20P%28X%3C11%29%20%3D%20%5Cfrac%7B11-0%7D%7B12-0%7D%3D%200.917)
Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917
ANSWER
See attachment
EXPLANATION
The given inequality is
![|x| \: > \: \frac{3}{2}](https://tex.z-dn.net/?f=%20%7Cx%7C%20%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20)
This implies that,
![x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2}](https://tex.z-dn.net/?f=%20x%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20%5C%3A%20or%20%5C%3A%20-%20x%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20)
Multiply both sides of the second inequality by -1 and reverse the inequality sign.
![x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2}](https://tex.z-dn.net/?f=%20x%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20%5C%3A%20or%20%5C%3A%20x%5C%3A%20%3C%20%5C%3A%20-%20%5Cfrac%7B3%7D%7B2%7D%20)
The graphical solution to this inequality is shown in the attachment.