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

Answer:
What line is perpendicular to the line 2x + 3y = 6 through (4, 1)? Explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).
Step-by-step explanation:
Answer:
Divide by 80 on both sides
6P3 => 6!/(6-3)! = 120.
I can't very well explain, but I hope it works.
79 is a prime, so we cannot reduce it.