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juin [17]
3 years ago
7

A company sells its product for $59 per unit. Write an expression for the amount of money received (revenue R) from the sale of

x units of the product.
Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

R = 59x

Step-by-step explanation:

We are given the following in the question:

Cost per unit = $59

Let x units of product be sold.

We have to write an expression the amount of money received (revenue R) from the sale of x units of the product.

Revenue:

  • It is the total income  and is obtained by multiplying the quantity of goods sold by the unit price of the goods.

Revenue =

\text{Unit Cost}\times \text{Units sold}\\R = 59x

is the required expression of revenue.

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The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
ella [17]
The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2=   <u>Σ(x-mean)^2</u>
                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

 x      mean         x-mean        (x-mean)^2     
90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
<u>
</u>
6 0
4 years ago
Which number line shows the given inequality? <br><br> m &lt; 7.5
nekit [7.7K]
It's A because 7.5 is the starting point but it's not included so that point is circled.
7 0
3 years ago
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Use the quadratic formula to solve 5x^2+2x-3
Lisa [10]
Assuming it equals 0
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}

given
5x^2+2x-3=0
a=5
b=2
c=-3

x=\frac{-2+/- \sqrt{2^2-4(5)(-3)} }{2(5)}
x=\frac{-2+/- \sqrt{4+60} }{10}
x=\frac{-2+/- \sqrt{64} }{10}
x=\frac{-2+/- 8 }{10}
x=(-2+8)/10 or (-2-8)/10
x=6/10 or -10/10
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6 0
3 years ago
Solve the following system. x2 + y 2= 25 2x + y = 10 The solution set
anzhelika [568]

Answer: {(5,0), (3,4)}

Step-by-step explanation:

You can apply the Substitution method:

- Solve for y from the second equation.

- Substitute into the first equation and solve for x.

Then:

y=10-2x

x^2+y^2=25\\x^2+(10-2x)^2=25\\

(Remember that: (a\±b)^2=a^2\±2ab+b^2)

x^2+(10^2-2(10)(2x)+(2x)^2)=25\\x^2+100-40x+4x^2=25\\5x^2-40x+75=0\\x^2-8x+15=0\\(x-5)(x-3)=0\\\\x=5\\x=3

Substitute the values obtained into one of the original equation and solve for y:

2(5)+y=10\\10+y=10\\y=0\\\\2(3)+y=10\\6+y=10\\y=4

The solution set is: {(5,0), (3,4)}

8 0
3 years ago
A boat travels 30 miles due North and then turns and travels 40 miles due
Elan Coil [88]

Answer:

50 miles

Step-by-step explanation:

This represents a 3-4-5 right triangle, where 3-4-5 is the ratio. Multiply those numbers by 10 to get 30-40-50. 30 and 40 are already in the problem, so 50 is the answer.

5 0
2 years ago
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