The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function
The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a
function
The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function
The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function
Step-by-step explanation:
An ordered pair represents a relationship between two values
The first value is the input the second value is the output
1. A relation is a set of inputs and outputs
2. A function is a relation with one output for each input
3. All functions are relations
{(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)}
∵ Each x-coordinate in each ordered pair has only one y-coordinate
∴ The relation above is a function
The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function
{(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)}
∵ The x-coordinate 4 has two values of y (7 and -6)
∴ The relation above is not a function
The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a
function
{(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)}
∵ Each x-coordinate in each ordered pair has only one y-coordinate
∴ The relation above is a function
The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function
{(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)}
∵ Each x-coordinate in each ordered pair has only one y-coordinate
∴ The relation above is a function
The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function
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= 30, using the normal distribution to get the answer is just using Z. So, what we need is P(X<180). ![Z= \frac{x-E[X]}{\sigma } = \frac{180-150}{30} = \frac{30}{30} = 1](https://tex.z-dn.net/?f=Z%3D%20%20%5Cfrac%7Bx-E%5BX%5D%7D%7B%5Csigma%20%7D%20%3D%20%5Cfrac%7B180-150%7D%7B30%7D%20%3D%20%20%5Cfrac%7B30%7D%7B30%7D%20%3D%201)
(1) = 0.8413. 