Answer:
x^3+3x^2-7x+15
Step-by-step explanation:
first you've got to distribute x through (x^2-2x+3)
x^3-2x^2+3x, then distribute the 5 through (x^2-2x+3)
5x^2-10x+15 now you add that to x^3-2x^2+3x
x^3+3x^2-7x+15
He can run 10 km in an hour. 60 minutes divided by 3 is 20km. 20 would be the answer, but that's only if he runs 1km in 3 minutes. Since he runs .5km in 3 minutes, you need to divide the 20 by 2. Therefore, you have 10km in 1 hour
A closed dot mean "greater than or equal to" or "less than or equal to"
An open dot means "less than" or "greater than"
In this case, an open dot would mean
X>-2
Answer: The answer would be 15
Step-by-step explanation:
Hope this helps.
Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9