For the answer to the question above the probability of exactly x successes is
P(X=x)=b(x;n,p) = (nCx)(p^x)((1-p)^(n-x))
where nCx is number of combinations of n things taken x at a time, and "^" means exponentiation.
n = 10
p = 0.2
P(X=7) = 10C7*(0.2^7)*(0.8^3) = 0.00079
P(X=8) = 10C8*(0.2^8)*(0.8^2) = 0.00007
P(X=9) = 10C9*(0.2^9)*(0.8^1) = 0.00000
P(X=10) = 10C10*(0.2^10)*(0.8^0) = 0.00000
.00079 + .00007 + 0 + 0 = .00086 = .0009 rounded
Answer: D. 15
Step-by-step explanation:
Given : The revenue each season from tickets at the theme part is represented by 
.
The cost to pay the employees each season is represented by 
.
From the given graph , we can see that at 4th season, the profit = 15
Hence, the estimated profit after four seasons. =15
The equation
P(t) = 1405233 * (1 - 0.011)^(t)
models the population at t years after 2010. Then, when P(t) = 1,200,000, we have
1200000 = 1405233 * (0.989)^t
(0.989)^t = 1200000/1405233
t = log(1200000/1405233)/log(0.989)
t = 14.27 years
This means 14.27 years after 2010. Therefore, the answer to this question is 2024.
Answer:
x can take any value and are viable in this situation if and only if it is a positive number
Step-by-step explanation:
We know that the area of a rectangle is given by:
A = x * y
So if we replace we have:
12 ≤ x * y ≤ 36
We divide by y, and we have:
12 / y ≤ x ≤ 36 / y
Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:
12 ≤ x ≤ 36
In the event that y is equal to 2:
12/2 ≤ x ≤ 36/2
6 ≤ x ≤ 18
Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.
Answer:
Step-by-step explanation:
6 - (2 - 4x)
sophia : 6 + 2 + 4x
sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.
ursula : 6 - (-2x)
ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x
a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x
