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xeze [42]
3 years ago
7

A linear revenue function is R = 12x. (Assume R is measured in dollars.) what is the slope? What is the revenue received from se

lling one more item if 50 are currently being sold?
Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

Now,

The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

\frac{\textup{dR}}{\textup{dx}}= \frac{\textup{d(12x)}}{\textup{dx}}

or

slope = 12

Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function

therefore,

R = 12 × 1 = 12 dollars

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Does the following table show a proportional relationship between the variables x and y? x 5/6 25/6 125/6 y 2 10 50
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3 0
3 years ago
A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti
zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, \mu=18

and standard deviation, \sigma=2.6

The z-score, for any arbitrary life span of  x year, is given by

z=\frac{x-\mu}{\sigma}

By using the given values, we have

z=\frac{x-18}{2.6} \cdots(i)

The z-score for x=24, by using equation (i), is

z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

5 0
2 years ago
Read 2 more answers
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