Answer:
probability that the child DOES NOT play the piano
Step-by-step explanation:
A students' choir contains 25 children
n(S) =25
The number of students play the piano =5
Let 'E' be the event of the child play the piano so n(E) =5
The probability of that the child play the piano
Let 'E⁻ be the event of the child play does not play the piano
<u>Conclusion</u>:-
probability that the child DOES NOT play the piano
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
Point P is at (50, -40). Point R is vertically above
point Q. It is at the same distance from point Q
as point P is from point Q.
Point P is the same distance from Point Qas
Point R.
Point R is at (-30, 40), 80 units from Point Q.
The formula for the volume of a cylinder is area of the base times the height.
To find the area of the base you must multiply pi times 5 squared (3.14*25=78.5)
Then you must multiply that times the height (78.5*3), which equals 235.5 cubic centimeters
