Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
(x-3)(x+4). -3,4 multiply to -12, and add to get 1
Answer:

And using this formula we have this:

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:

And we want to find the following probability:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917