Answer: 0.49
Step-by-step explanation:
The mean= E[x]=1/l= 7.5 min
l=1/7.5 =10/75=2/15
The exponential distribution's probability density function is looking like that:
F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)
P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49
Answer: $75 + $65w ≥ $635
Step-by-step explanation:
$635 is your goal and how much money you should earn
$75 is your already saved money
$65 is how much you're going to save every week
Ask yourself, how many weeks do you have to save money before you reach your goal of $635. Since we don't know this value, it's a variable, w.
Y = (-2x +2)^2 +8
(-2x^2 +4) +8
-2x^2 +12
147 =20x+47
147 is less than or equal to 20 multiplied by the number of hours she works (x) plus 47 the amount of money she already has
The LCD is 42 because that is the least number that they both are factors of.
Hope this helps :)