Answer:12a
Step-by-step explanation:
The income elasticity for the household is -1.05.
<h3>What is the income elasticity?</h3>
Income elasticity measures how quantity demanded changes when there is a change in the income of a person / household
Income elasticity = percentage change in quantity demanded / percentage change in income
- percentage change in income = (3000 / 2500) - 1 = 0.2 = 20%
- percentage change in quantity demanded =( 150 /190) - 1 = -0.21 = -21%
Income elasticity = -21% / 20 = -1.05
To learn more about income elasticity, please check: brainly.com/question/15313354
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Answer:
160π/3 units² ≈ 167.55 units²
Step-by-step explanation:
The appropriate area formula is ...
A = (1/2)r²θ
Filling in the numbers, you have ...
A = (1/2)(8²)(5π/3) = 160π/3 ≈ 167.55 . . . . square units
Answer:
a) 0.1353
b) 0.3679
Step-by-step explanation:
Let's start by defining the random variable T.
T : ''The time (in hours) required to repair a machine''
T ~ exp (λ)
T ~ exp (1)
The probability density function for the exponential distribution is
(In the equation I replaced λ = L)

With L > 0 and x ≥ 0
In this exercise λ = 1 ⇒

For a)





For b)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur


