<h3>
Answer: Yes it is a function.</h3>
Reason:
There are no repeated x values, so each x input leads to exactly one y output. That's why we have a function.
If we had something like (1,18) and (1,12), then the input x = 1 leading to simultaneous outputs y = 18 and y = 12 would mean we wouldn't have a function.
Answer:
+30 +-25
Savings is positive
Buying is negative
Step-by-step explanation:
+30 saved
-25 to buy
+30 +-25
Savings is positive
Buying is negative
Answer:
(a)0.16
(b)0.588
(c)
Step-by-step explanation:
The matrix below shows the transition probabilities of the state of the system.
(a)To determine the probability of the system being down or running after any k hours, we determine the kth state matrix .
(a)
If the system is initially running, the probability of the system being down in the next hour of operation is the
The probability of the system being down in the next hour of operation = 0.16
(b)After two(periods) hours, the transition matrix is:
Therefore, the probability that a system initially in the down-state is running
is 0.588.
(c)The steady-state probability of a Markov Chain is a matrix S such that SP=S.
Since we have two states,
Using a calculator to raise matrix P to large numbers, we find that the value of approaches [0.75 0.25]:
Furthermore,
The steady-state probabilities of the system being in the running state and in the down-state is therefore:
2n + 3 = 5
2n = 2
n = 1
the sum of 2 times a number and three means you add 2n + 3 and since it is equal to 5 you then solve for n.
Answer:
x = -2,3
Step-by-step explanation:
Given: (x − 3)(x +2) = 0
To find the solution of above factor.
It is already in factor form.
Two factors are (x-3) and (x+2)
So, set each factor to 0 and solve for x
(x − 3) = 0 or (x +2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
Hence, The solution of the (x − 3)(x +2) = 0 are 3 and -2