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
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Answer:
8 percent
Step-by-step explanation:
Since the formula for interest rate is the original money, the amount of years, and the inetrest rate multiplied together, we could plug it into an equation. 6000 times 4 times the ineterest rate is equal to 1920. 6000 times 4 is 24000. 1920 divided by 24000 is equal to 0.08 or 8 percent.
Answer:
adsefrthgfdsfgd
Step-by-step explanation:
The Shape in this question is a cylinder
And the formula for finding the L.S.A of a cylinder is 2*pie*r*h
From the question, we are given the diameter so to get the radius we will divide the value for diameter by 2
D = 10/2
=5
Now, 2*3.14*5*4
L.S.A =125.6
