$42.35. 36/.85= 42.3529412
Part A:
Yes this is a function of x. Specifically the function is f(x) = x^2
The inputs (x) are squared to get the outputs (y).
For example,
f(x) = x^2
f(-3) = (-3)^2 <<--- input is x = -3
f(-3) = 9 <<--- output is 9
The pair of values -3 and 9 are shown in the table (column on the very right side)
The fact that each input leads to exactly one output is what makes this a function. If we had an input lead to multiple outputs, then it wouldn't be a function.
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Part B
Replace every x with 150 and then use the order of operations PEMDAS to simplify
f(x) = 20+3x
f(x) = 20+3*x
f(150) = 20+3*150 <<--- x has been replaced with 150
f(150) = 20+300
f(150) = 320
So the value of f(150) is 320
The input is 20
The output is 320
x is the number of hours
y or f(x) is the total cost
So this means f(150) = 320 represents the idea that 150 hours of renting the rowboat leads to a total cost of $320
59/23 into a mixed number is 2 13/23
Answer:
(a) The probability of a "Yes" answer, given that the person was a female is 0.16
(b) The probability that the respondent was a male, given that the response was a "No" is 0.3
Step-by-step explanation:
This problem can be solved using the definition of conditional probability
P(B|A) = P(A∩B) / P(A)
(a) In this case, event A is that the person is female and event B is that the answer of the person is "Yes".
P("Yes" | Female) = P(Female ∩ "Yes") / P(Female)
P("Yes" | Female) = (8/100)/(50/100)
P("Yes" | Female) = 8/50
P("Yes" | Female) = 0.16
(b) In this case, event A that the answer of the person is "No" and event B is that the person is male.
P(Male | "No") = P("No" ∩ Male) / P("No")
P(Male | "No") = (18/100)/(60/100)
P(Male | "No") = 18/60
P(Male | "No") = 0.3
2(3-1) ² / 1+1 x 3+3
Use PEMDAS
2(2) ²/1+1 x 3+3
4 ² / 2x6
16/12
1.333
