If a seed is planted, it has a 60% chance of growing into a healthy plant.

If 10 seeds are planted, what is the probability that exactly 1 doesn't grow? (round to 4 decimal places)

0.0016

Step-by-step explanation:

let p = growth probability = 60/100 = 0.6

q = probability of not growing = 1-0.6 = 0.4

Bernoulli equation is used to finish the probability

if exactly one grows, then 9 does not grow

That would be;

P(x = 1) = 10C1 p^1 q^9

= 10 * 0.6^1 * 0.4^9 = 0.001572864 = 0.0016 to 4 d.p

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

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!