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What Is The Probability Of Getting Exactly 2 Tails

The probability of getting exactly 2 tails when we flip 2 coins will be: P(TT) = ¼ = 0.25 S = HH, HT, TH, TT If we toss three coins, then the... View Article

How Do You Write A Probability Statement

The probability is stated as the likelihood of an event occurring or going to happen. In mathematical terms, the probability of an event is equal... View Article

What Is The Probability Of An Event Happening

The probability of an event occurring or happening is defined by the number of favourable outcomes from the event and total number of outcomes.... View Article

How Do You Multiply A Vector By Another Vector

A vector can be multiplied by another vector by two methods: Dot product or Scalar product Cross product of vector product... View Article

How Do You Create A Cosine Equation

The cosine function is also a sinusoidal function (like sine function) that can be written as: y=A cos (Bx + C) + D ; A and B is not equal to 0.... View Article

What Is The Vector Dot Product Used For

Dot product of two vectors is used to check if the two vectors are orthogonal to each other or not. If the dot product of two vectors is zero,... View Article

What Angle Has A Tangent Of 2

Tangent of what angle is equal to 2 can be determined if we find the tan inverse (arctan) of 2. Suppose, tan x = 2, then, x = tan-1(2) x =... View Article

If The Probability Of An Event Is P Then The Probability Of Its Complementary Event Will Be

If the probability of an event is p is P(E), then the probability of complementary of event p will be: P’(E) = 1 - P(E) Hence, P(E) + P’(E) =... View Article

How Do You Find Volume From Area

For any three-dimensional solid, its volume is equal to the space occupied by it. We can evaluate the volume of the solid, if we know its surface... View Article

What Are The Fundamental Units

The fundamental units are the base units defined by International System of Units. These units are not derived from any other unit, therefore... View Article

Is Fe2o3 A Covalent Or Ionic Bond

Iron oxide or ferric oxide has three oxygen atoms and two iron atoms. It is represented by Fe2O3. The oxidation state of iron oxide is +3 and +2.... View Article

1 I By 1 Plus I Is Equal To

Solution: (1-i)/(1+i) = (1-i)(1-i)/(1+i)(1-i) = (1-2i-1)/2 = -i = cos π/2 - i sin π/2 Hence option (2) is the answer.... View Article

Root 8 6i Equals

(1) 1±3i (2) ±(1-3i) (3) ±(1+3i) (4) ±(3-i) Solution: Let x+iy be the square root. x+iy = √(-8-6i) Squaring both sides (x+iy)2 =... View Article

If Z I Log2 Root 3 Then Cos Z Is Equal To

Solution: Let cos z = (eiz+e-iz)/2 cos z = (e-log (2-√3)+elog (2-√3))/2 cos z = [(1/(2-√3))+(2-√3)]/2 = (2+√3+2-√3)/2 = 2 Hence... View Article

If Z 4 Less Than Or Equal To 3 Then The Greatest And Least Value

Solution: |z+4| ≤ 3 |z+1| = |z+4+-3| = |(z+4)+(-3)| ≤ |(z+4)+|(-3)| ≤ 3+3 ≤ 6 Greatest value is 6. |z+4| ≤ 3 => -3 ≤ z+1 ≤ 3 -6 ≤... View Article

If The Complex Numbers Z1 Z2 Z3 Represent The Vertices Of An Equilateral Triangle Such That Z1 Z2 Z3 Then Z1 Z2 Z3 Equal

Solution: Let z1,z2,z3 denote the vertices A,B,C of an equilateral triangle ABC. If O is the origin, OA = z1, OB = z2, OC = z3 |z1| =|z2|... View Article

Let 1 Ix By 1 Ix A Ib And A B2 1 Where A And B Are Real Then X Equal To

Solution: Given (1-ix)/(1+ix) = (a-ib) Multiply numerator and denominator with (1-ix) (1-ix)(1+ix)/(1+ix)(1-ix) = (1-2xi-x2)/(1+x2) =... View Article

If Alpha Not Equal 1 Is Any Nth Root Of Unity Then S Equal 1 N Terms Equals

Solution: Given S = 1+3α+5α2 ..n Tr = (2r-1)αr-1 S = S = 2S1-S2 … (i) (denote the terms of the above equation by S1 and S2 S1 =... View Article

Common Roots Of The Equations Z 3 2z 2 2z 1 Are

Solution: Given z3+2z2+2z+1 = 0 ..(i) (i) can be written as (z+1)(z2+z+1) = 0 Roots are z = -1 or ω, ω2 Also given z1985+z100+1 = 0... View Article

The Value Of Sigma K 1 To 6 Sin 2 Pi K

Solution: (sin 2πk/7 - i cos 2πk/7) = -i( cos 2πk/7 + i sin 2πk/7) = -ie2πk/7 = -i( sum of roots of equation x6+x5+x4+x3+x2+1 = 0) =... View Article

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