Answer:
B represents a function.
Step-by-step explanation:
Recall these characteristics of a "function:"
Only one y-value can be associated with each x-value.
Thus, A could not represent a function because there are two points with x = 1 and two different y-values: (1, 1) and (1, -2).
B represents a function because for each input (x-value) there is one and only one y-value associated.
C not a function: (2, 3) and (2, -3) have two different y-values associated with one x-value (2).
D not a function: (-3, 4) and (-3, -4) (see A and C, above)
Answer:
There are 1% probability that the last person gets to sit in their assigned seat
Step-by-step explanation:
The probability that the last person gets to sit in their assigned seat, is the same that the probability that not one sit in this seat.
If we use the Combinatorics theory, we know that are 100! possibilities to order the first 99 passenger in the 100 seats.
LIke we one the probability that not one sit in one of the seats, we need the fraction from the total number of possible combinations, of combination that exclude the assigned seat of the last passenger. In other words the amount of combination of 99 passengers in 99 seats: 99!
Now this number of combination of the 99 passenger in the 99 sets, divide for the total number of combination in the 100 setas, is the probability that not one sit in the assigned seat of the last passenger.
P = 99!/100! = 99!/ (100 * 99!) = 1/100
There are 1% probability that the last person gets to sit in their assigned seat
Answer:
<h2>New salary= $43,800.24</h2>
Step-by-step explanation:
Step one:
Given data
the initial salary is = $42,360
the raise in percentage is =3.4%
To know the raise we need to calculate what the amount of 3.4% of $42,360 is
Step two:
=(3.4/100)*42,360
=0.034*42360
=1440.24
therefore thr raise is $1440.24
Step three:
the new salary is given as
new salary= old salary+ raise
New salary= $42,360+$1440.24
New salary= $43,800.24
Answer:
c
because if u divided by 2 u get c
Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
