Answer:
0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle
Step-by-step explanation:
We are given the following information:
We treat people carrying at least 1 reusable water bottle as a success.
P(people carry at least 1 reusable water bottle) = 29% = 0.29
Then the number of people follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5
We have to evaluate:
0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle
I: x-2y>=8
II:2x+y<=3
start by isolating y on a side
with I:
x-2y>=8
-2y>=8-x
2y<=x-8
y<=x/2-4
with II:
2x+y<=3
y<=-2x+3
now you can draw I' and II' and read of the solutions with the graph.
transform the inequalities into lines in slope intercept form by replacing the inequality with equality:
y<=x/2-4
->
y=x/2-4
y<=-2x+3
->
y=-2x+3
look at the inequalities to figure out if the area above or below is valid for each line (y<=... -> area below is valid->colored in the attached image)
the area in which all areas overlap is the solution space.
In bottles, usually the amount is .33l or 0.5l or 1l or 2l
Answer:
29500
Step-by-step explanation:
subtract the two numbers