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

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

b and c

step-by-step explanation: