Answer:
The answer would be D
Step-by-step explanation:
This is a piecewise function, meaning that it is split into two parts. The right side is an exponential and that part is greater than one, the left side is a line less than or equal to one. The only equation that matches the criteria for that is D.
Answer:
u = 4.604 , s = 2.903
u' = 23.025 , s' = 6.49
Step-by-step explanation:
Solution:
- We will use the distribution to calculate mean and standard deviation of random variable X.
- Mean = u = E ( X ) = Sum ( X*p(x) )
u = 1*0.229 + 2*0.113 + 3*0.114 + 4*0.076 + 5*0.052 + 6*0.027 + 7*0.031 + 8*0.358.
u = 4.604
- Standard deviation s = sqrt ( Var ( X ) = sqrt ( E ( X^2) + [E(X)]^2
s = sqrt [ 1*0.229 + 4*0.113 + 9*0.114 + 16*0.076 + 25*0.052 + 36*0.027 + 49*0.031 + 64*0.358 - 4.604^2 ]
s = sqrt ( 8.429184 )
s = 2.903
- We will use properties of E ( X ) and Var ( X ) as follows:
- Mean = u' = E (Rate*X) = Rate*E(X) = $5*u =
u' = $5*4.605
u' = 23.025
- standard deviation = s' = sqrt (Var (Rate*X) ) = sqrt(Rate)*sqrt(Var(X)) = sqrt($5)*s =
s' = sqrt($5)*2.903
u' = 6.49
Answer:
Smart phone sales since 1990:- linear function
Half life of a pesticide :- exponential function
Step-by-step explanation:
Linear function can be applicable in almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit, therefore smart phone sales since 1990 can be model with linear function
Exponential functions can be applicable in social, scientific, or personal finance situations such as population growth, radioactive decay and half life, therefore half life of pesticide can be model with exponential function.
Answer:
x = 4
y = 1
Step-by-step explanation:
use one equation to solve for one variable.
y = 5 - x
Now plug the value of y in the other equation
x - (5-x) = 3
x+x= 3+5
2x=8
x=4
Now use the value of x to find the value of y on the first equation
y = 5 - x
y = 5 - 4
y = 1
