Solve each system by graphing.
2 answers:
Answer:
(-1, 4)
(-0.231, 0.769)
(4, 1)
(-2, -3)
(-4, -4)
No solution since graph didn't intersect at any point.
Step-by-step explanation:
The pair of the linear equation of two variables is of the form:
a₁x₁ + b₁y₁ + c₁ = 0
a₂x₂ + b₂y₂ + c₂ = 0
For solving these equations we will plot the graph of these equations in the same graph paper.
Firstly we will make a value table by putting the value of one variable so, we will get the value of another variable. Now plotting these points in the graph and then join the line. Graph will be plotted.
Now, we can have three possibilities, that is:
Both lines will intersect, then we have only one solution.
both lines will coincide, then we have infinitely many solutions.
Or Both lines can be parallel i.e. they will not intersect at any point, then we have no solution to the given equation.
And the point of intersection is the solution of the graph.
The graph of given equations is plotted below.
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Answer:
There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).
The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Answer:
The answer to your question is below.
Step-by-step explanation:
14.- Use proportions to solve these problems.
14(x + 6) = 10(x + 9)
14x + 84 = 10x + 90
14x - 10x = 90 - 84
4x = 6
x = 6/4
x = 3/2
15.-
10(x - 1) = 8(x + 2)
10x - 10 = 8x + 16
10x - 8x = 16 + 10
2x = 26
x = 26 / 2
x = 13
16.-
5(x + 1) = 9(10/3)
5x + 5 = 30
5x = 30 - 5
5x = 25
x = 25 / 5
x = 5