Answer:
y = 2x - 3/4
Step-by-step explanation:
Adapt the slope-intercept form: y = mx + b.
Making the indicated substitutions, we get
y = 2x - 3/4
Answer:
0.36427
Step-by-step explanation:
Mean = λ = 18 messages per hour
P(X = x) = (e^-λ)(λ⁻ˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)
But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)
P(15 < X < 20) = P(X < 20) - P(X ≤ 15)
These probabilities will be evaluated using a cumulative frequency calculator.
P(X < 20) = 0.65092
P(X ≤ 15) = poissoncdf(18, 15) = 0.28665
P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.
You can use the Poisson distribution calculator here
https://stattrek.com/online-calculator/poisson.aspx
Answer:
No
Step-by-step explanation:
For x and y to have a proportional relationship, then
the ratio of k = 
must be equal for all points
(2, 5) → k = 
= 2.5
(3, 7.5) → k = 
= 2.5
(5, 12.5) → k = 
= 2.5
(18, 8) → k = 
= 2.25 ≠ 2.5
k is not equal for all values , hence no proportional relationship exists
Yes because the 7% tax is only $1.26 so the total is $19.26
