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vovangra [49]
3 years ago
13

Total profit P is defined as total revenue R -= total cost​ C, and is given by the function Upper P left parenthesis x right par

enthesis equals Upper R left parenthesis x right parenthesis minus Upper C left parenthesis x right parenthesis. Find the total profit​ P(x) when ​R(x)equals150.97 x minus 0.3 x squared and Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

Step-by-step explanation:

P(x) = R(x) - C(x)

Where,

P(x) = Total profit

R(x) = Total revenue

C(x) = Total cost

R(x)equals150.97 x minus 0.3 x squared

R(x) = 150.97x - 0.3x^2

Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.

C(x) = 4529.10 + 0.5x^2

P(x) = R(x) - C(x)

= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)

= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2

= 150.97x - 0.8x^2 - 4529.10

P(x) = -0.8x^2 + 150.97x - 4529.10

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Zigmanuir [339]

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

3 0
3 years ago
X^2 – 5x + 6 &lt; 0<br> what is the answer
Sophie [7]

Answer:

step 1: x2−5x+6<0

step2: (×-2) (+-3) =0

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7 0
3 years ago
What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

6 0
4 years ago
Pls help me someone
Lynna [10]
Y=-1/3x+4

x2-x1/ y2-y1
(0,4)(2,-2)
2-0/-2-4
1/-3

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3 0
3 years ago
Brainliest to first right, along with 5 stars, and a thanks, lol:)
vlada-n [284]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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