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
<span>Using LAW OF SINES Round to the nearest tenth.
Find BC: triangle is laying on it's side with the point to the right point(A).
B to C= 61 degrees
C to A= 23 cm
A to B= 12 degrees
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If I interpret this correctly:
Angle A = 61º
Angle C = 12º
--> B = 103º
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Side b = 23 cm
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BC is side a, opposite angle A
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23/sin(103) = a/sin(61)
a = 23*sin(61)/sin(103)
a =~ 20.6 cm
Hope this helped :)</span>
Answer:
x = 91
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, that is
∠ A + ∠ C = 180, thus
x + 89 = 180 ( subtract 89 from both sides )
x = 91
Answer:
500/6 min if I'm correct
Step-by-step explanation:
52 is your answer
Hope this helps
