Answer:
Step-by-step explanation:
A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations
y = 2x + 4
y = 2x
If you subtract the second equation from the first, you get
0 = 4
an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.
Answer:
E(F)=200
V(F)=100
Step-by-step explanation:
(a) Let F be the amount he spends on falafel sandwiches over the next 400 days. Find E[F] and V(F).
If we analized his expenses in falafel sandwiches, we know he buys a $1 sandwich with aprobability of 50%.
If we call the random variable D the daily expense in falafel sandwiches, it is a Bernoulli variable with p=0.50.
If F is the sum of the daily expenses D during the 400 days, then we can say it is a binomial variable with p=0.5 and n=400.
Then we can calculate the expected value of F as:

The variance of F is then

Answer:

Step-by-step explanation:
The total length of the belt is:


Answer:
10,000
Step-by-step explanation:
10 x 10 = 100 when you do the power of 2, you multiply that number by itself.
X(p-6) = z-8 => x = (z-8)/(p-6) if p≠6