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1. ### A student claims that P( AUB ) = P(A) + P(B) If A and B are mutually exclusive . Draw a Venn diagram to show why he's right. How to do??

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

2. ### Is abs(x) technically x^2? And if so, what is it's square root? is it just regular (x) with an imaginary root at the x-axis?

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

3. ### Estimate the Ball's horizontal velocity during time of flight using the following information?

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

4. ### What's the numerical coefficient of the simplified term containing x^-5 for the expansion of (x+1/2x)^9 ?

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

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

5. ### what's the equivalent expression to 1/(1+sinx)? a. (cos^2x)(1+sinx) b. (1+sinx)/cos^2x) c. (cos^2x)(1-sinx) d. (1-sinx)/cos^2x?

(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

6. ### Pigeonhole principle - hard math problems?

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

7. ### Joanne is forming a snowball by rolling it along the freshly snow-covered ground. The radius of the snowball is increasing at a ?

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

8. ### What is This Shape Called?

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

9. ### given the term of a geometric sequence t5=405, t7=1620 find s12?

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

10. ### statistics help - minimum number of measurements?

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 682.7

1 Answers · Science & Mathematics · 02/06/2019