9514 1404 393
Answer:
945x^3·y^16
Step-by-step explanation:
The 5th term will be ...
C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)
= 945x^3·y^16
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The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.
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:Im confused by your question
Step-by-step explanation:
Answer:
the coefficient of x is 2
Step-by-step explanation:
(3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - (3x - y - z)
Apply the distributive law: - (a - b) = -a + b
Therefore, - (3x - y - z) = -3x + y + z
So (3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - 3x + y + z
Collect like terms: = 3x + 2x - 3x - y - y + y + z - z + z
Combine like terms: = 2x - y + z
Therefore, the coefficient of x is 2
Therefore, the coefficient of x is 2
Answer:
left
Step-by-step explanation:
if she pushes it right then she would have to push it left back to her to work on it
