Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
Answer:
200 ml
Step-by-step explanation:
It's proportions basically.
frst off, 2% of 100 ml is 2 ml, so the 100 ml solution has 2 ml of Minoxidil.
Eventually we want 6/100 to be the porportion. so the total is going to be 100 (from the initial 100 ml) plus however much is needed x. And we want the amount of Minoxidil to be 2 + 8 percent of x. so this gets us the equation
6/100 = (2 + .08x)/(100+x) Then we solve
(100 + x) 6/100 = 2 + .08x
(100 + x) 6 = 200 + 8x
600 + 6x = 200 + 8x
400 = 2x
x = 200
so they should add 200 ml
You can check too. there is 100 + 200 ml of solution total and 2 + 16 ml of Minoxidil so that's 18/300 = 6/100
In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
9a-65
Step-by-step explanation:
simply write 9a+(add the remaining numbers all together)
