Answer:
(a)9
(b)I. 0.28125
II. 0.46875
III. 0.25
Step-by-step explanation:
There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

(a)The Venn diagram is attached below.

Therefore, 9 students play both the violin and piano.
(b)
I. Probability that the student plays the violin but not the piano
Number of Students who play violin only =18-x=18-9=9

ii.Probability that the student does not play the violin
Number of Students who does not play violin only =17-x+7=17-9+7=15
P(does not play violin only)

iii.Probability that the student plays the piano but not the violin
Number of Students who play piano only =17-x=17-9=8

The graph would open at the down at the bottom
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
__
This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
0.5-2(0)^2
0.5-0
0.5
ez
desmos to graph
Answer:
x=11.2
Step-by-step explanation: