Answer:

Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.
First, you divide by 5 from both sides.

Solve.


Next, subtract 5 from both sides.

Solve.

As a result, the correct answer is x<12.
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Answer:
Probability distribution for x:

Step-by-step explanation:
We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.
The probability of k defective sets in the group is:

So, we have this probabilty distribution for x:

Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)
Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points,
D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)
Answer:
-12
Step-by-step explanation:
-8 * ( 1/4) * (6)
= -12