6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?
1 answer:
Answer:
9 labours
Step-by-step explanation:
In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.
In indirect proportion, if one quantity increases, the other decreases and vice versa.
As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.
6 labours => 12 days
x labours => 8 days
Since its an inverse proprotion, multiply 6 with 12, and x with 8.
8x = 6 × 12
x =
∴ x = <u>9 labours</u>
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Answer:
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.
To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Proof -
By the given information, we get the stohastic matrix
As we know that,
The matrix is a Markov chain
Let
The initial state vector be
we choose this initial vector because given that If the animal chooses food #1 on an initial trial.
Now,
∴ we get
Now,
∴ we get
∴ we get
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Answer:
The percentage that a new car is expected to have a sticker price of between $31,600 and $40,600 is 81.86%.
Step-by-step explanation:
The random variable <em>X</em> is defined as the value of new cars at a local dealership.
The mean of the random variable <em>X</em> is, <em>μ</em> = $34,600 and the standard deviation is, <em>σ</em> = $3,000.
The random variable <em>X</em> is normally distributed.
Compute the probability that a new car is expected to have a sticker price of between $31,600 and $40,600 as follows:
The percentage is, 0.8186 × 100 = 81.86%.
Thus, the percentage that a new car is expected to have a sticker price of between $31,600 and $40,600 is 81.86%.