Bosco

a bag contains 9 red tiles, 10 blue tiles, and 6 green tiles. a tile is randomly drawn from the bag what is the probability of drawing a blue tile? what is the probability of drawing a red tile? what is the probability of drawing a green tile?     

  Total number of tiles is 9 + 10 + 6 =  25     

  Prob drawing a red tile         9 / 25   =   36%     

  Prob drawing a blue tile     10 / 25   =   40%     

  Prob drawing a green tile     6 / 25   =   24%     

_.     

   interest rate     

   22500=22000(1+i)      

   22,000 • x  =  22,500     

                 x  =  22,500 / 22,000     

                 x  =  1.022727     

   The principal gained 0.022727 

   so, the interest rate was 2.27%  (rounded)   

_.     

What is the fourth term of the expansion of the binomial (2x + 5)5?     

(2x + 5)²  =  32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125     

You didn't say whether you meant the fourth term from the left     

or from the right.  Go ahead and choose which one you want.     

_.     

Divide please 1/8 % 2/5     

To divide by a fraction, invert the divisor and multiply.     

      ¹/₈                 1         5              5     

   ––––––   =     –––  •  –––    =    –––     

      ²/₅                 8         2             16     

_.     

What is pi divided by 3 times pi?     

Do you mean  π / (3 • π)  or  (π / 3) • π  ?     

Do yourself and everyone else a favor and learn to use parentheses.     

^.     

  if the common ratio is 2 and a5 =12 whats the first term? and how do I find it?     

  The easiest way to find it when the numbers are this small is simply to count backwards.     

  a₅  = 12     

  a₄  =   6     

  a₃  =   3     

  a₂  =   1.5     

  a₁  =   0.75     

_.