Answer:
1.967 × 10⁻¹¹
Step-by-step explanation:
This is a conditional probability problem
Probability that a 12 year old leaf blower works for 5 more years = Probabilty that a leaf blower works for 17 years, given that it has worked for 12 years = P(17|12)
P(17|12) = P(17 n 12)/P(12)
P(17 n 12) = P(17)
Exponential random variable is given as
f(x) = λ e^(-λ.x)
λ = rate parameter = 5 years per blower
x = variable whose probability is required = 17
f(17) = 17 e^(-5×17)
f(17) = 17 e⁻⁸⁵ = 2.067 × 10⁻³⁶
f(12) = 12 e^(-5×12)
f(12) = 12 e⁻⁶⁰ = 1.051 × 10⁻²⁵
P(17|12) = (2.067 × 10⁻³⁶)/(1.051 × 10⁻²⁵)
P(17|12) = 1.967 × 10⁻¹¹
To write the equation of a line, we need 1) a point on the line 2) it's slope
For the point, we just substitute in the equation of the line intersecting it with x=3 (because they share this point)
Therefore, 2*3-3y=6 --> That gives y=0
Then the point is (x1,y1)=(3,0)
We already have the slope : m=2
Now we should use this relation for the required line equation
(y-y1) / (x-x1) = m
Then (y-0) / (x-3) = 2
Then y = 2*x - 6
And that is the required form
where 2 is the slope and -6 is the intercept
The 9 ounce toothpaste is a better deal.
I hope this helps you.
Answer:
Step-by-step explanation:
Equation:
Jalil says it is not possible to isolate x because x has a different unknown coefficient.
Victoria t. Victoria believes there is a solution
Solving the equation:
So, this shows x can be isolated .
Victoria was right .
It was not possible to isolate x if the coefficients of x would be same .
But in the given equation the coefficients of x are not same .
So, Victoria is right.
Answer: the answer is 0.6
Step-by-step explanation:
you divide 3 by 5