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3 years ago

12

Larin makes money during the summer by mowing lawns for $25 per lawn. She started summer vacation with 55 in her savings account

. Write an equation that can be used to determine the
amount of money, y, Larin will have after mowing x lawns.
Enter the equation in the box.

1 answer:

Mrac [35]3 years ago

4 0

Answer:55 + 25x = y

Step-by-step explanation:

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36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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3 years ago

If you have the average production function: APL=3L2 - 0.05L3, the function of marginal product of labour, MPL is

Sveta_85 [38]

Answer:

<h2>The marginal product of labor function or MPL= $9L^{2}-0.2L^{3}$ .</h2>

Step-by-step explanation:

The Average Production Function or APL is given as $APL=3L^{2}-0.05L^{3}$ where "L" represents the overall amount labor in the production process.
Therefore, the Total Production Function or TPL,in this case, would be $TPL=(3L^{2}-0.05L^{3})\times L$ = $TPL=3L^{3}-0.05L^{4}$
Hence,the Marginal Product of Labor, which is abbreviated as MPL will be= $\frac{dL}{dTPL}=(3\times 3L^{2})-(4\times 0.05L^{3})$ = $9L^{2}-0.2L^{3}$
Therefore,the marginal product of labor function or MPL= $9L^{2}-0.2L^{3}$

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3 years ago