Independent trials that result in a success with probability p and a failure with probability 1-p are called Bernoulli trials. Let denote the probability that n Bernoulli trials result in an even number of success (0 being considered an even number).
Show that and use this to prove (by induction) that
So denotes the probability that n Bernoulli trials result in an even number of successes p = probability of success p-1 = probability of failure .

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b