Out of a group of 30 volunteers, 17 people are chosen to participate in a survey about the number of phone calls they make each
2 answers:
You might be interested in
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
second equation:
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
Given:
Prove:
Solution:
Putting the value of equation (ii) into the equation (i):
putting the value x into the equation (i):
Therefore, the value of x= 4
Learn more:
Answer:
0.25
Step-by-step explanation:
From the given information:
Since the times are uniform distributed over the one hour period (0,1):
Then;
So, and
are independent; then:
= 0.25