Assume that a procedure yields a binomial distribution with a trial repeated n = 20 times. use either the binomial probability formula (or technology) to find the probability of k = 14 successes given the probability p = 0.72 of success on a single trial.

the probability is 0.1879

Step-by-step explanation:

If a procedure yields a binomial distribution, the probability of having k successes is given by:

Where nCk is calculated as:

Additionally, n is the number of trials and p is the probability of success in every trial.

Replacing, k by 14, n by 20 and p by 0.72 we get:

So, the probability is 0.1879

4

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)