we know that in direct variation as x increase y also increases.
in indirect variation x decreases y increase and vice versa.
in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).
to find k we know that for indirect variation xy=k
if we rewrite the equation x=9/y we get xy=9
which mean k=9 .
in part b we have 4xy=20 if we simplify this equation we get
so here if we rewrite in terms of x.
we get x=5/y which represents indirect variation.
and we know xy=k
we have xy=5 .so k=5
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:
y=92
Step-by-step explanation:
Divided both sides by the numeric factor on the left side, then solve.
y = 92
Answer:
<h2>2x + 5y = -15</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have the equation in point-slope form:
Convert it to the standard form:
<em>multiply both sides by 5</em>
<em>use the distributive property </em><em>a(b + c) = ab + ac</em>
<em>subtract 35 from both sides</em>
<em>add 2x to both sides</em>
Answer:
0.01190476, but since you have to round to the nearest hundredth your answer should be 0.01
Step-by-step explanation:
