3:5
1:1
1.5 or 1:5 not sure
Answer: B
Step-by-step explanation:
Answer:
100 customers
Step-by-step explanation:
Note that when you say "The probability that a customer receives a $25 gift card is 19", I assume you mean 1/9, not 19 because probability cannot exceed 1.
There are 900 reward cards in total, which means 900 customers have a chance to receive a reward. Out of these 900 customers, 1/9 of them receive a $25 gift card, so in order to find how many receive a gift card, we do:
(1/9) * 900 = 100
Thus, 100 customers receive a $25 gift card.
Answer:
-2 and -3
Step-by-step explanation:
Let L represent the large integer and S represent the smaller integer
Given Large Integer = 10 + 4 times Smaller Integer
Mathematically:
L = 10 + 4S -------eq 1
It is also given that the integers are consecutive,
hence L = S + 1------ eq2
Now we can solve a system of equations by substitution.
Substitute eq 2 into eq 1
S + 1 = 10 + 4S (subtract 1 from both sides)
S = 10 - 1 + 4S
S = 9 + 4S (subtract 4S from both sides)
S - 4S = 9
-3S = 9 (divide both sides by -3)
S = 9 / (-3) = -3 (answer)
form equation 2,
L = S + 1
L = -3 + 1
L = -2 (answer)
Answer:
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
In order for the composition of the functions to be commutative, we must have ...
f(g(x)) ≡ g(f(x))
for all values of x.
Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.
