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san4es73 [151]
2 years ago
8

A company sells widgets. The amount of profit, y, made by the

Mathematics
1 answer:
vfiekz [6]2 years ago
4 0

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the  company, is related to the selling price of each widget, x, by the given  equation as follows :

y = -4x^2 + 183x- 1247 ...(1)

We need to find out the maximum amount of profit  the company can make.

For maximum profit put dy/dx = 0

So,

\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87

Put x = 22.87 in equation (1). So,

y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06

So, the maximum profit is 846.06 units.

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2 years ago
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Another one please help
n200080 [17]
-- The area of the long skinny piece on top is (6 x 33) = 198

-- The length of the dotted line between the top and bottom pieces is (33-21) = 12

-- The area of the bottom  piece is (12 x 15) = 180

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3 years ago
Identify whether each question is a statistical question and the reason why or why not.
madam [21]

1. The question about the weight of the football team players is statistical because it requires data collection to answer it and the data is variable.

2. The question about the height of Ben's mother is <u>non-statistical</u> because it does not require data collection to answer and the data is not variable, since it is one data point.

<h3>What is a statistical question?</h3>

A statistical question can be answered by collecting data and for which data will vary.

Questions answered with a single data point are <u>not statistical</u> because there is no data variability to answer them.

A statistical question can be determined by the following criteria:

  • Provides useful data about a group of people.
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  • The data collected explains a situation or reality.

Thus, the question about the weight of the players asks a statistical question, unlike the height of Ben's mother.

Learn more about statistical questions at brainly.com/question/12150562

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2 years ago
27 students in all 4:5 packed lunch. how many students packed lunch
bonufazy [111]
\bf \stackrel{total}{27}\qquad 4:5\qquad \cfrac{4}{5}\implies \cfrac{4\cdot \frac{27}{4+5}}{5\cdot \frac{27}{4+5}}\implies \cfrac{4\cdot 3}{5\cdot 3}\implies \cfrac{\stackrel{packed~lunch}{12}}{\stackrel{did~not~pack~lunch}{15}}
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3 years ago
√324 + 6 √64<br><br>what is the answer to this question.​
kaheart [24]

Answer:

66

Step-by-step explanation:

\sqrt{324} + 6 \sqrt{64}\\\\=\sqrt{18^2} +6 \sqrt{8^2}\\\\=18+6(8)\\\\=18+48\\\\=66

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