X^2 - 80 = 0
x^2 = 80 ...take the square root of both sides, eliminating the ^2
x = (+-) sqrt 80
x = (+-) sqrt 16 * 5
x = (+-) 4 sqrt 5
so x = 4 sqrt 5 or x = -4 sqrt 5
To solve 16x18, you may split it up into a smaller increment you understand. Like 16x2, which equals 32. (18/2 is 9) multiply 32 by 9. you get your answer 288.
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes
Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.
Hope this helps xx
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)
Answer:

Step-by-step explanation:
Noah's running speed = 6 mph.
Use formula
where
D is the distance,
v is the speed,
t is the time.
If
hour, then
miles.
If
hour, then
miles.
If
hours, then
miles.
If
hours, then
miles.
If
hours, then
miles.
If
hours, then
miles.
So, the table is
