Answer:
The value of is equal to 
Step-by-step explanation:
we know that
-----> by alternate exterior angles
solve for k


I think the answer is 0.20 - 0.12 = 0.08
Answer:
a) 3.6
b) 1.897
c)0.0273
d) 0.9727
Step-by-step explanation:
Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.
a)
The mean of a Poisson random variable X is μ.
mean=E(X)=μ=3.6.
b)
The standard deviation of a Poisson random variable X is √μ.
standard deviation=S.D(X)=√μ=√3.6=1.897.
c)
The probability for Poisson random variable X can be calculated as
P(X=x)=(e^-μ)(μ^x)/x!
where x=0,1,2,3,...
So,
P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!
P(no case of rabies)=P(X=0)=0.0273.
d)
P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)
P(at least one case of rabies)=1-0.0273=0.9727
Answer:
The answer is the third equation. A = 250*(1 +0.016)^(0.75)
Step-by-step explanation:
Since Javier deposited $250 into an account with annual interest rate, then as the years passes his account will grow in the manner shown below:
account(0) = 250
account(1) = account(0)*(1 + 1.6/100) = account(0)*(1 + 0.016) = account(0)*1.016
account(2) = account(1)*1.016 = account(0)*1.016*1.016 = account(0)*(1.016)²
account(3) = account(2)*1.016 = account(0)*(1.016)²*1.016 = account(0)*(1.016)³
account(n) = account(0)*(1.016)^n
Where n is the number of years, account(0) is the initial amount. In this case only 9 months have passed, so we need to convert this value to years, dividing it by 12, which is 9/12 = 0.75. The initial amount was 250, so the equation is:
A = 250*(1.016)^(0.75)
The answer is the third equation.
Answer:
the y intercept is -1
Step-by-step explanation:
Because is the 2 is connected to x it means 1 is where y intercept started and x can not connect to y