We have to select 5 cards such that a queen of hearts does not get selected. In a pack of 52 cards, there is only one queen of hearts. Out of the remaining 51 cards, 5 cards can be selected. P<span>robability that a five card hand does not contain the queen of hearts</span><span> </span><span><span>47/52</span></span>
This would be a reflection across the x - axis
(x,y) --> (x,-y)
The possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are 
<h3>How to determine the possible zeros?</h3>
The function is given as:
f(x) = 3x^6 + 4x^3 -2x^2 + 4
The leading coefficient of the function is:
p = 3
The constant term is
q = 4
Take the factors of the above terms
p = 1 and 3
q = 1, 2 and 4
The possible zeros are then calculated as:

So, we have:

Expand

Solve

Hence, the possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are 
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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
