Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
beks73 [17]
X' = U - X
= {1,2,3,4,5,6} - {1,4,5}
= {2,3,6}
(ZUX') = {2,3,5} U {2,3,6}
= {2,3,5,6}
(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}
= {2}
10/18 or 5/9. To get this you first have to make your mixed number into a fraction. 1 and 1/2 is = to 3/2 so 5/6 * 2/3 = 10/18
All angles in a quadrilateral add to 360
x is supplementary to that other angle, call it y
the angles inside are 40, 80, 110 and y
40+80+110+y=360
230+y=360
minus 230 both sides
y=130
that is supplementary to x (adds to 180)
x+y=180
x+130=180
minus 130 both sides
x=50
x=50 degrees
Answer:
$26 + X = $57
$26 + $31 = $57
X = $31
My first time ever answering a question hope it helped =) (And sry it took long)
Step-by-step explanation:
Answer:
1250 different committees can be formed
Step-by-step explanation:
We are told that the club has 5 men and 6 women.
Now we want to choose number of men between 1 and 3 with both inclusive and number of women between 2 and 4 with both inclusive.
We'll use the combination formula;
C(n, r) = n! / [r! (n - r)!]
Where, n = population and r = picks
Thus, we'll multiply the results of the women and men together. And so we have:this gives us ;
(5C1 + 5C2 + 5C3) * (6C2 + 6C3 + 6C4) = (5 + 10 + 10) * (15 + 20 + 15) = 25 * 50 = 1250 ways
