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
Based on the given statements, the valid argument is that D. <span>It cannot be concluded that Beth drew a triangle with an angle measure of 90°.
We known that she drew a triangle, but we don't know what triangle - so A and B are incorrect. Also C, because we know that she drew a polygon, because a triangle is a polygon. </span>
Answer:
1/7
Step-by-step explanation:
There is a 1/7 chance because out of all 7 letters and times you could have chosen a different letter, you chose x which occurs once in the problem.
Hope this helps!
Cube: Area cubed
Rectangular Prism: A=(wl+hl+hw)
