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12345 [234]
3 years ago
13

Please I need help solving this 36a +32

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0
The answer is 36.5 if i’m wrong i’m sorry i’m pretty sure it’s right
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What is the simplified form of the expression?
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Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business sta
emmasim [6.3K]

Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business started. You also calculate that each luxury bean bag chair will cost you $50 to produce

1. write an equation for the total cost to manufacture n luxury bean bag chairs.  

you decide to sell the luxury bean bag chairs for 62.50 each (revenue is the total money coming in from sales.)  

2. write an equation for the total revenue  made from selling n luxury bean bag chairs.  

3. solve the system of equations algebraically

Answer:

Step-by-step explanation:

From the given question;

1.

Let assume that c1 to be the cost  and n to be the number of bean bags produced.

amount used to start the business = $4000

thus;

The equation for the total cost to manufacture n luxury bean bag chairs is:

c₁ = 50 n + 4000

2.

Let c₂ be the total revenue made from selling ; then since 62.50 revenue is generated from each bag n sold

therefore ;

c₂ = 62.50 n

3.

c₁ = c₂

50 n + 4000 =  62.50 n

4000 = 62.50 n - 50 n

4000 = 12.50 n

n = 4000/12.50

n = 320

We can infer that in order to start making profit from the amount used tot start the business, you must have sold 320 bean bags.

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3 years ago
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Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum
Nimfa-mama [501]

Answer:

The percentile for William is 76.97.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scors of a population, and for this case we know the distribution for X is given by:

X \sim N(25.2,6.5)  

Where \mu=25.2 and \sigma=6.5

2) Solution to the problem

We are interested in find the percentile for the score of 30 obtained by William. The best way to solve this problem is using the z score formula given by:

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

And z follows a normal standard distribution. We can find the z scor for the score X=30 like this:

z=\frac{30-25.2}{6.5}=0.738

And now we can find the probability using excel or a table, on this way:

P(Z

And that means the 76.97 percentile since we have on the left of the score of 30, 0.7697 of the area on the left and 0.2303 of the area on the right.

So then the percentile for William is 76.97.

6 0
3 years ago
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