The equation between two points is given as:
Plugging the values of the points given we have:
Therefore the equation in standar form is:
Answer:
The solution for x is
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
The first part is already how we want, so ok.
Now, we need to know that the ln and the exponential are inverse functions. This means that, for example, .
So, applying ln to both sides
Answer:
P(X ≥ 2) = 0.90842
Step-by-step explanation:
This is a Poisson distribution problem
And Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = average arrival rate = 4 customers per hour
x = variable whose probability is required = at least 2. P(X ≥ 2)
P(X ≥ 2) = 1 - P(X < 2)
P(X < 2) = P(X=0) + P(X=1)
P(X=0) = (e⁻⁴)(4⁰)/0!
P(X=0) = 0.01832
P(X=1) = (e⁻⁴)(4¹)/1!
P(X=1) = 0.07326
P(X < 2) = P(X=0) + P(X=1) = 0.01832 + 0.07326 = 0.09158
P(X ≥ 2) = 1 - P(X < 2) = 1 - 0.09158 = 0.90842
Hope this Helps!!!
7y+5-8y+6
Group like terms
7y-8y+5+6
-y+11
or 11-y
For the fifteen days,
1, 2, 4, 8, 16, 32, .........
Doubling continues until after the 15th day. But since counting started after 1 penny is given, so n for the sequence would have to be = 16.
This sequence is a GP common ratio = 4/2 = 2/1 = 2
Sum of nth term of GP = a(r^n - 1) / (r -1)
where a = 1st term = 1,
n = 16, r = 2
Sum = 1*(2^16 - 1) /( 2 -1)
= (2^16 - 1) /( 1)
= (2^16 - 1) = 65536 - 1 = 65535
Money in 15 days = 65 536 pennies.