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P( AUB ) = P(A) + P(B) - P( A n B ) see https://www.youtube.com/watch?v=dNMxvBy3GUw Since A and B are mutually exclusive , A n B is a null set . So P...

3 Answers · Science & Mathematics · 09/07/2019

No, but you're close. You can use the square root operator to define absolute value. For any real number x: |x| = √(x²) For any complex number z: |z| = √(z z̅) [where z̅ is the complex conjugate of z] Those really are the same fact...

2 Answers · Science & Mathematics · 22/01/2020

Assume x is a measure of horizontal position and t is a measure of time. x(t) is given as a linear equation, so the magnitude of the horizontal velocity at any time is simply the derivative of x(t) with respect to t. x(t) = 0.8450t + 0.005315 v(t) = 0.8450 (constant) The horizontal velocity of the...

2 Answers · Science & Mathematics · 18/07/2019

(x + 1/2x)^9 = (19683 x^9)/512

3 Answers · Science & Mathematics · 28/05/2019

(d) is correct, because (1 - sin(x))/cos^2(x) = (1 - sin(x))/(1 - sin^2(x)) = 1/(1 + sin(x))

1 Answers · Science & Mathematics · 12/01/2020

Think

**S**as a set of chosen k integers from the set ... U,V (U<V) from**S**. Let a pair of (U,V) be P and the value...1 Answers · Science & Mathematics · 09/02/2020

**S**= 4π*r², dr/dt= 0.6 cm/**s**= 0.006 m/**s**V= (4/3)π*r^3 1.5= (4/3)π*r^3; r= [4.5/(4π)]^(1/3)≈ 0.7101 m dS/dt= 8πr*dr/dt= 8π*0.7101*0.006≈ 0.107 m²/**s**1 Answers · Science & Mathematics · 31/03/2020

Spherical segment, or given that the circles have the same area, symetrical spherical segment. If it isn't a sphere then it is certainly spheroid, so symetrical spheroidal segment.

3 Answers · Science & Mathematics · 17/09/2019

Here'

**s**how I would look at this. The generic form for the n'th... 1620 = (405/r⁴)r⁶ Cancel out the four r'**s**: 1620 = 405r² Divide both sides by 405: 4 = ...6 Answers · Science & Mathematics · 01/06/2019

**s**^2 = 9 ===>**s**= (-3 , +3) The first interval is two standard deviations, so +/-6 from the mean. .9545 of the population is within 2**s**.d. So 954.5 Second is within one**s**.d. .6827 So 682.71 Answers · Science & Mathematics · 02/06/2019

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