Either of (2,2) or (2,3) should be removed to get the relation as a function.
We know that a relation is a function if each element of the first set is mapped to a unique element of the other set.
i.e. corresponding to each x value we have a single y-value.
We are given a relation as:
{(–1, 0), (1, 3), (2, 2), (2, 3), (3, 1)}
As we could observe that there are two images corresponding to '2' i.e. 2 is mapped to 2 and 3 both as could be seen from the ordered pair (2,2) and (2,3).
Hence, if any one of (2,2) and (2,3) will be removed we will get our relation as a function.
Answer:
67% or 0.67
Step-by-step explanation:
Given that:
P(1 child under age 21) = 55%
P(2 children under age 21) = 22%
P(3 children under age 21) = 15%
P(4 children under age 21) = 5%
P(5 or more children under age 21) = 3%
If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?
P(1 or 3 children under age 21):
Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;
P(1 child under age 21) + P(3 children under age 21)
= 55% + 15%
= 67% = 0.67
Make a guess for the value of the variables.
Write two equations using the assigned variables.
Make another guess, based on the results of the first guess. Solve the pair of equations.
Answer:
Options A, C and E are correct.
Step-by-step explanation:
a. Assign two variables for the unknowns.- Firstly we read the problem and then assign values like (x and y) to the unknown entities.
c. Write two equations using the assigned variables. - After the first step, we get few equations to be solved. These equations are based on the assigned values from step 1.
e. Solve the pair of equations. - Finally we solve these equations to get the variable values.
Answer:
Step-by-step explanation:
Assign two variables for the unknowns.
Write two equations using the assigned variables.
Solve the pair of equations.