Answer:
chancing for wining is 54%.
Step-by-step explanation:
possible outcomes can be given as
HHH *
HHM *
HMH
MHH *
HMM
MHM
MMH
MMM
Out of those, only 3 will have the participant win the game:
HHH, HHM, MHH.
Probability (HHH) + Probability (HHM) + Probability (MHH)
since attempts are independant.
Probability (HHH) = 0.9 *0.4 *0.9 = 0.324
Probability (HHM) = 0.9 *0.4 *0.3 = 0.108
Probability (MHH) = 0.3 *0.4 *0.9 = 0.108
Add them up and get = (0.324+ 0.108+0.108) = 0.54
hence, chancing for wining is 54%.
Answer:
Step-by-step explanation:
Multiply the quotient 
by the divisor 
for the dividend, that is
×
Cancel the 3 on the numerator/ denominator
= 
× 
= 
=
Solve by elimination
multiply top by -1
-2x + y = -4
x - y = -2
-x = -6..............so x = 6
2(6) - y = 4
12-y = 4
-8 = -y
so y = 8
(-6,8)
Answer:
Cartesian
z₁= 3 +4*j
z₂= 2 +3*j
Polar
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Step-by-step explanation:
for the complex numbers z the cartesian form of is
z= x + y*j
then
1) z₁= 3 +4*j (cartesian form)
2) z₂= 2 +3*j (cartesian form)
the polar form is
z= r* e^jθ
where
r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13
and
θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad
then
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
