The graph represents this system of equations:
2 answers:
Answer:
Option D is the correct answer.
Step-by-step explanation:
Refer the given figure showing the graph.
We can see the point of intersection is (2.5, -2).
Option D is the correct answer.
<u>Alternatively:</u>
2x + y = 3 ---------------------eqn 1
2x - 5y = 15 ---------------------eqn 2
eqn1 - eqn 2 gives
2x + y - ( 2x - 5y) = 3 - 15
6y = -12
y = -2
Substituting in eqn 1
2x - 2 = 3
x = 2.5
Point of intersection is (2.5, -2).
Option D is the correct answer.
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The probability of selecting a number not divisible by 3 is: 2/3
Step-by-step explanation:
There are two methods to solve the question.
- We can find the probability of numbers not divisible by 3
- We can find the probability of numbers divisible by 3 and then find the complement of it
We will use the second method:
Given:
There are 24 slips
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}
n(S) = 24
Let A be the event that the slip number is divisible by 3
Then
A = {3,6,9,12,15,18,21,24}
n(A) = 8
The probability of number divisible by 3 is:
The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.
The probability of selecting a number not divisible by 3 will be:
The probability of selecting a number not divisible by 3 is: 2/3
Keywords: Probability
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