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ollegr [7]
2 years ago
11

A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent

of the products are faulty and will cost the company $200 each in customer service and repairs. If the company does not refund the customer when repairing the item, how much should the company charge to make a profit of $2.00 per item? $6.00 $6.19 $8.00 $8.25
Mathematics
2 answers:
Vitek1552 [10]2 years ago
7 0
<span>(x) - (0.03)(200) = 2.00 
Let x be the </span><span>company charge to make the profit 

solving for x gives 8$</span>
yawa3891 [41]2 years ago
3 0

Answer: $8.00


Step-by-step explanation:

Given: Percent of products which are faulty=3%=0.03

Cost of each faulty product =$200

Let x be the company charge to make the profit .

According to the question,



x-0.03\times200=2.00\\\Rightarrow\ x-6.00=2.00\\\Rightarrow\ x=2.00+6.00\\\Rightarrow\ x=$8.00


Hence, the company should charge $ 8.00 to make a profit of $2.00 per item.

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The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va
kow [346]

Answer:

16\ acres

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

k=\frac{y}{x}

substitute the values of x and y

k=\frac{551,520}{20}=\$27,576\ per\ acre

The linear equation is equal to

y=27,576x

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

441,216=27,576x

x=441,216/27,576

x=16\ acres

5 0
2 years ago
Read 2 more answers
Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
Orlov [11]

Using the uniform distribution, it is found that:

A,B) 0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

C) 20% of the time does Josh’s bag arrive in less than 22 minutes.

--------------------------

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

--------------------------

  • In the graph, we have that the distribution is uniform between 20 and 30 minutes, thus a = 20, b = 30

--------------------------

Itens a and b:

  • Above 27 minutes, thus:

P(X > 27) = \frac{30 - 27}{30 - 20} = 0.3

0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

--------------------------

Item c:

  • Less than 22 minutes, thus:

P(X < 2) = \frac{22 - 20}{30 - 20} = 0.2

0.2*100 = 20%

20% of the time does Josh’s bag arrive in less than 22 minutes.

A similar problem is given at brainly.com/question/15855314

6 0
1 year ago
A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f
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3.31 times 10 to the 26th power
5 0
2 years ago
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Kelly can read five pages of her fiction book or two pages of her history textbook in seven minutes. If Kelly wants to read thir
Liono4ka [1.6K]

So five pages of her fiction book in 7 minutes. And she must read thirty pages:

30/5 = 6.

6 * 7 = 42 minutes for the fiction book.

So 2 pages of her history book in seven minutes.

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15 * 7 = 105 minutes for the history textbook

Add:

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6 0
2 years ago
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Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t
Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0

The parameter of the exponential distribution is:

\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx

                 =0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

3 0
2 years ago
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