Clara= 30+45 (75)
Adam = 2x75 (150)
745+5+150=270min
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
Call the angles of depression D.
then tan(D)=20/30, or I
arctan(tan(D)) = arctan(⅔)
D=33.690. A is the answer
your calculator probably uses tan^-1 rather than arctan
Answer:
A ) The money which Andre pay for the bike is $ 67.30
B ) The money which Andre pay for the bike is $ 76.92
Step-by-step explanation:
Given as :
The wholesale cost or market price of the bike = m.p = $ 96.15
A ) The discount percentage = 30 %
Let The selling price of the bike after discount = s.p
Now ,
Discount % = 
or, 30 % = 1 - 
or,
= 1 - 
Or,
= 1 - 
or,
= 
Or,
= 
Or, s. p =
× 96.15
∴ s.p = $ 67.305
So, He will pay $ 67.30
Hence The money which Andre pay for the bike is $ 67.30 . Answer
B ) If the bike is discounted by 20 % , let The selling price = s.p'
So,
Discount % = 
or, 20 % = 1 - 
or,
= 1 - 
Or,
= 1 - 
or,
= 
Or,
= 
Or, s. p' =
× 96.15
∴ s.p' = $ 76.92
So, He will pay $ 76.92
Hence The money which Andre pay for the bike is $ 76.92 . Answer