Answer:
a
Step-by-step explanation:
because its easy
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
Answer:
B
I
Step-by-step explanation:
A triangle's angles must add up to 180
68+90+x=180
158+x=180
22=x
3 and 2 must add up to 180
70+x=180
angle 2= 110
angle 2 and angle 1 have to add up to 180 as well
110+x=180
andgle 1= 70
Answer:
Therefore the variance on the data set is 8.3
Step-by-step explanation:
In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:
mean = sum of each element / number of elements
mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6
We can now find the variance by applying the following formula:

So applying the data from the problem we have:
s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)
s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4
s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3
Therefore the variance on the data set is 8.3
Answer:
x = -4
Step-by-step explanation:
5x-9 = 15+11x
5x - 11x = 15 + 9
-6x = 24
x = -4