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asambeis [7]
3 years ago
14

A corporation produces mini-widgets. The variable expenses are $1.24 per mini-widget, and the fixed expenses are $142,900. Repre

sent the total expense as a function of quantity produced, q.
Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

e=142,900+1.24q, where:

e are the total expenses

q is the quantity produced.

Step-by-step explanation:

With the information provided, you can say that the total expense would be equal to the result of adding up the fixed expenses plus the variable expenses. These variable expenses would be equal to the expenses per mini-widgets for the quantity produced, which you can express as:

e=142,900+1.24q, where:

e is the total expense

q is the quantity produced.

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kakasveta [241]
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4 years ago
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katen-ka-za [31]
First, let’s break this down. What exactly are we looking at here? Well, Daisy measured the heights of 20 plants (in cm). The table, under Frequency, shows the # of plants that fit within a certain height range, shown on the left under Height of Plants (h).

Now, it says to take the midpoints of each group to figure out an estimate of the mean height. To find the mean, you add up all the totals and divide it by the # of items. So, let’s go through each row.

Midpoint of 0-10 is 5, and Frequency is 1, so that gives us 5.
Midpoint of 10-20 is 15, Frequency is 4, and 15x4=60.
We continue this with the other rows by finding the midpoint & multiplying the midpoint by the frequency (if the frequency is greater than 1). This gives us the numbers:

175 (25x7)
70 (35x2)
135 (45x3)
165 (55x3)

Now, we add these all together.
5+60+175+70+135+165=610

Finally, we divide 610 by the # of items (remember, there are 20 plants so we divide by 20) and 610/20 is 30.5.


FINAL ANSWER:

Thus, if I calculated correctly (which I hope I did lol), our estimate for the mean height of a plant is 30.5 cm!
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