Answer:
m=-74/11
Step-by-step explanation:
Distribute the 8 through the Parenthesis.
-24=24=-5m+10(3m-5)
Collect Like terms
-24+24=-35m-50
Move terms
-24m+35m=-50-24
11m=-50-24
11=-74
Divide by 11
Answer- -74/11
Answer:
a) 
b) 
Step-by-step explanation:
Let's define the following events first:
F: The event that a course has a final exam.
R: The event that a course requires a research paper
From the info provided we have that:
P(F and R) =0.32
So then we can create a Venn diagram as we can see on the figure attached.
a. Find the probability that a course has a final exam or a research project.
For this case we can find the probability like this:
b. Find the probability that a course has NEITHER of these two requirements.
For this case we can use the complement rule and we can find the probability like this:
And that's the same value obtained with the diagram.
Answer:
(i)unique solution
Explanation:
We solve for x1 thus in the first equation:
x1-3x3=-3
x1-9=-3
x1=-3+9
x1= 6
We solve for a thus in the second equation:
2x1+ax2-x3=-2
2+a2-x3=-2
a2-x3=-4
a2=-4+x3
The number of rows is the length
the nuumber of collumns is the width
alrighty
length times widdth=total number of cupcaces
so we factor 120 to find odd and even pairs
120=1*2*2*2*3*5
so some even and odd pairs are
1*120
3*40
5*24
8*15
those are all the possible pairs
so they can make 4 different arrangements
The answer is B.the positive correlation between the number of trucks that drive on a road and the amount of maintenance the road needs.
