A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town. In towns where the shop has been successful, the shop name is recognizable to people 53% of the time .He survey random sample of 12 residents of the town

Complete question :

A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town.In towns where the shop has been successful,the shop name is recognizable to people 53% of the time .He survey random sample of 12 residents of the town.  Find the probability that among these 12 surveyed residents, none of them have ever heard of the coffee shop

0.000116

Step-by-step explanation:

Using the binomial probability relation :

Probability of success, p = 0.53

1 - p = 0.47

Number surveyed, n = 12

P(x =x) = nCx  * p^x * (1 - p)^(n - x)

Probability that none has heard of the coffee shop :

P(x = 0) = 12C0 * 0.53^0 * 0.47^12

P(x = 0) = 0.000116

answer: 19 is   2

step-by-step explanation: i just looked at your answer and wrote it down

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is