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: 6/625 gallons of water wa splashed out of the pool
Step-by-step explanation:
Total number of gallons of water in the pool was 10 1/2. Converting to improper fraction, it becomes
21/2 gallons.
Jake and his friend splashed g gallons of water out of the pool. There are 7 7/8 gallons still left in the pool. Converting 7 7/8 to improper fraction, it becomes
63/8 gallons
This means that
g + 63/8 = 21/2
g = 21/2 - 63/8 = (84 - 63)/8
g = 21/8 = 2.625 gallons
Step-by-step explanation:
5B+4F= $30.76
×3
15B+12F= $92.28
----------------------------
8B+6F= $48.28
×2
16B+12F= $96.56
----------------------------
Cost of one burger:
$97.56-$92.28= $4.28 (final ans)
Cost of one fries:
$30.76-5($4.28)= $9.36 (for 5 fries)
$9.36÷5= $1.87 (final ans)
Answer:
perform cross multiplication:
