Answer:
S = {AB, AC, BC}
Step-by-step explanation:
Answer: $37.50 per share
Step-by-step explanation:
Take the difference in the final price and the original price. Divide by the original price and multiply by 100.
37.5-25= 12.5
12.5/25= .50
.50*100= 50%
The other answers are $12.50 per share, and
The new stock is worth $37.50 per share.
Answer:
3 miles
Step-by-step explanation:
First, we find the rate at which she drives, that is her speed.
Speed is given as:
speed = distance / time
When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:
s = 15 / 30 = 0.5 miles per minute.
She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.
From the formula of speed, distance is given as:
distance = speed * time
Therefore, the distance of The Dreamy Donut Shop is:
distance = 0.5 * 6 = 3 miles
The Dreamy Donut Shop is 3 miles away.
Step-by-step explanation:
In this problem, we need to find three rational numbers between 7/12 and 7/11.
First rational no :

Second rational no :

Answer:
The expected value of Jordan gains is -1 dollar.
Step-by-step explanation:
Consider the following random variables. X := #of shots that Jordan makes. Then, we can can define the random variable Y of the earnings of Jordan in a game as follows
Y = 5 if X=2 (since he gets 10, but invested 5), Y=0 if X=1(since he gets the 5 back) and Y=-5 if X=0(since he doesn't get the money back). Then, in this case, we can define the probability as follows.
P(Y=5) = P(X=2), P(Y=0) = P(X=1), P(Y=-5)= P(X=0).
By definition, the expected value of Y is given by
. By the previous analysis, we have that
![E[Y] = 5\cdot P(X=2)-5P(X=0)](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%205%5Ccdot%20P%28X%3D2%29-5P%28X%3D0%29)
We only need to calculate the probabilities for X. In this case, we can consider each shot independt from each other. Then, we can consider X to be distributed as a binomial random variable with n=2 trials and p=0.4 of success (since he has a 40% chance of winning).
Then, by definition

where 
Then,


Then,
![E[Y] = 5\cdot 0.16-5\cdot 0.36 = -1](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%205%5Ccdot%200.16-5%5Ccdot%200.36%20%3D%20-1)