Answer:
0.15651
Step-by-step explanation:
This can be approximated using a Poisson distribution formula.
The Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to x)
where λ = mean of distribution = 20 red bags of skittles (20% of 100 bags of skittles means 20 red bags of skittles)
x = variable whose probability is required = less than 16 red bags of skittles
P(X < x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to (x-1))
P(X < 16) = Σ (e^-λ)(λˣ)/x! (Summation From x=0 to x=15)
P(X < 16) = P(X=0) + P(X=1) + P(X=2) +......+ P(X=15)
Solving this,
P(X < 16) = 0.15651
1) Graphing- If you graph the numbers you will easily be able to identify the answer.
2) Substitute- Substitute numbers in for x or y until they're equal on both sides.
EX: 2x+2=10
Substitute numbers in until you get a number that makes it equal on both sides
x= 4
3) Elimination- Eliminate numbers from both sides until they're equal.
Hope this helped! :)
If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
Answer:
m=-1/3
Step-by-step explanation:
The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!