Abag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. five marbles are drawn from the bag. what is the approximate probability that exactly two of the five are blue?

0.3641

Step-by-step explanation:

Given that a bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles

When five marbles are drawn from the bag, we have to find the probability that exactly two of the five are blue.

=Probability that 2 blue marbles and 3 non blue marbles

2 marbles should be drawn out of the 20 blue marbles and 3 non blue marbles out of 30 marbles

No of ways = 20C2 (30C3)

Total no of ways of drawing 5 marbles = 50C5

Hence probability =

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: