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

X=3
Y=5
0.30 x 5 = 1.5
1.50 x 3 = 4.5
1.5 + 4.5 = 6
Given:
In
and
.
To find:
The
.
Solution:
In
,

It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.
[Base angles of isosceles triangle QRS]
...(i)
In
,

[Using (i)]



Divide both sides by 2.


Therefore, the
is 33 degrees.
Answer:
260
Step-by-step explanation:
5×20=100
So 13 × 20
because 5 percent of the collection is 13 so it is 260.
A triangle in total is 360<span>°. So you add what you are given
46 + 61 = 107
and subtract that from 360
360 - 170 = 190
And the remainder is the last unknown angle.
So, the third angle is 190</span><span>°</span>