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
Answer:
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
Option B: 4 is the multiplicative rate of change of the function
Explanation:
The exponential growth function is 
We need to determine the multiplicative rate of change of the function.
First, let us determine the values of function.
x y
1 8
2 32
3 128
4 512
Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.
Thus, the multiplicative rate of change of the function is given by
Multiplicative rate of change of the function = 
Multiplicative rate of change of the function = 
Multiplicative rate of change of the function = 
Thus, the multiplicative rate of change of the function is 4
Therefore, Option B is the correct answer.
First make it into a fraction. 42/70, 42 times out of 70. Now, divide. this gives you 0.6
To make a decimal into a percent, you need to multiply by 100. So, 0.6 x 100, the answer is D, 60%.
29,029 is the answer hope I helped! :)
