33% of US adults say they are more likely to make a purchase during a sales tax holiday you randomly select 10 adults find the probability that the number of adults who say they are more likely to make purchases during the sales tax holiday is exactly 2

0.199

Step-by-step explanation:

p = 33% = 0.33

1 - p = 1 - 0.33 = 0.67

Using binomial distribution formula :

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

P(x = 2) = 10C2 * 0.33^2 * 0.67^8

P(x = 2) = 45 * 0.1089 * 0.0406067677556641

P(x = 2) = 0.19899346538663192205

P(x = 2) = 0.1989

P(x = 2) = 0.1990

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!