81.4% ≅ 81%. The probability that a customer ordered a hot drink given that he or she ordered a large is 81%.
The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.
Similarly to the previous exercise, P(A∩B) is the probability that a customer order a large hot drink. So, P(A∩B) = 22/100 = 0.22
For P(B), is the probability that a customer order a large drink whether hot or cold. P(B) = 27/100 = 0.27
P(A|B) = 0.22/0.27 = 0.814
multiplying by 100%, we obtain 81.4%
X = 16/7 Because if you substitute -5 in for y you get x = 16/7 and you can check by plugging in 16/7 in for x and you get -5 for y so your answer is: x=16/7
One way is to solve for the invers of the first function
remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)
A.
f(x)=x/2+8
y=x/2+8
x=y/2+8
x-8=y/2
2x-16=y
f⁻¹(x)=2x-16
nope, not A
B.
f(x)=3x³+16
y=3x³+16
x=3y³+16
x-16=3y³
(x-16)/3=y³
∛((x-16)/3)=y
f⁻¹(x)=∛((x-16)/3)
nope, not the same
not B
C.
f(x)=18/x-9
y=18/x-9
x=18/y-9
x+9=18/y
y(x+9)=18
y=18/(x+9)
f⁻¹(x)=18/(x+9)
correct, the answer is C
answer is C
147/x=100/70 (147=100, 70 is from the percent)
(147/x)*x=(100/70)*x
147=1.4285714285714*x
147/1.4285714285714=x
x=102.9 is your answer
