<em>Answer:</em>
a
<em>Step-by-step explanation:</em>
lets substitute 5 into every equation. (using 5 every time won't work every time ofc)
ok so 5(x+6)=55 would simplify into <em>5x+30=55</em> which in this case would be <em>5(5)+30=55 </em>
and 25 plus 30 (obviously) = 55
so A is the right answer
Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have
Answer:
$425
Step-by-step explanation:
subtract 120 and 5 from his starting total to get how much he has after all his purchases. Then add 50 to that total to get your answer.
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
