Question
find the volume of a cylinder whose height is 7 cm and radius is 10 cmAnswer:soln
volume of cylinder= pie r ^h where pie = 22/7
height=7 cm
radius=10 cm
now,
volume of cylinder= 22/7*10*10*7cm
V≈2199.11cm³
Answer:

Step-by-step explanation:
<u>Step 1</u>:-
Suppose that E and F are two events and that P(E n F) = 0.3
also given P(E) =0.5
<u>Conditional probability</u>:-
if E₁ and E₂ are two events in a Sample S and P(E₁)≠ 0, then the probability of E₂ , after the event E₁ has occurred, is called the <u>Conditional probability</u>
of the event E₂ given E₁ and is denoted by


Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
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Difference of two squares:
x² - y² = (x - y)(x + 8)
So for difference of squares that has (x -8) as one of the factor.
The other factor is (x + 8)
(x - 8)(x + 8) = x² - 8²
= x² - 64.