Answer:
Solve: x < 3 Graph: *attached* Interval Notation: (-∞,3)
Step-by-step explanation:
Solve:
combine like terms


Add 6 on either side of the inequality

Divide by 6 on either side of the inequality

Graph:
*see attachment*
Interval notation:
(-∞ , 3)
Answer:
2/ 5
Step-by-step explanation:
From the venn diagram, find tbe probability ;
P(work | sport)
Recall :
P(A | B) = P(A n B) / P(B)
From the venn diagram :
P(work | sport) = P(work n sport) / P(sport)
P(work n sport ) = 4
P(sport) = 6 + 4 = 10
Therefore,
P(work | sport) = P(work n sport) / P(sport)
P(work | sport) = 4 / 10
P(work | sport) = 2/5
You would take 3.5(15) to get $52.50 as your final answer.
Answer:

Step-by-step explanation:
In this problem we have a horizontal ellipse, because the major axis is the x-axis
The equation of a horizontal ellipse is equal to

where
(h,k) is the center of the ellipse
a and b are the respective vertices distances from center
we have
vertices at (7, 0) and (-7, 0)
co-vertices at (0, 1) and (0, -1)
so
The center is the origin (0.0) (The center is the midpoint of the vertices)
a=7
b=1
substitute


0.25 = 25/100
to simplify 25/100, divide 25 from both the numerator and denominator.
25/25 = 1
100/25 = 4
1/4 is the simplest form
C. 1/4 is your answer
hope this helps