84% of a contractor’s jobs involves electrical work. 75% of a contractor’s jobs involve plumbing work. Of the jobs that involve plumbing, 90% of the jobs also involves electrical work. Let E = jobs involving electrical work L = jobs involving plumbing work Suppose one of the contractor’s jobs is randomly selected. Using the sixth Excel worksheet, a) Find P(E). 0.84 b) Find P(L). 0.75 c) In words, what does E | L mean? d) Find P(E | L). e) Find P(E and L). f) Are E and L independent events? Why or why not? g) Find P(E or L).
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
75-60=15
40+15=55 so Annette is 55 inches tall
Plug in x-values and see which one has an incorrect y value.
(x, y)
x=0; y=0+7=7; CORRECT
x=2; y=2+7=9; INCORRECT
x=9; y=9+7=16; CORRECT
x=12; y=12+7=19; CORRECT
The point that is not on the online is (9, 16).
<4 and <2 corresponding angles
<6 and <3 alternate interior angles
<4 and <5 alternate exterior angles
<6 and <7 interior angles on the same side of transversal
