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
Answer:
x = 14
Step-by-step explanation:
4x - 4 + 4x - 4 + x = 118
9x - 8 = 118
9x = 126
x = 14
Answer: B
Step by Step
5y + 6 = -3X
5y = -3X - 6
Y = -3/5X -6/5
Perpedicular is the flip of your slope so -3/5 becomes 5/3X
Answer:1/9
Step-by-step explanation:
Simplified:
1/3 x 1/3
1/9
Answer:
i think so
Step-by-step explanation: