Answer:
$2,820
Step-by-step explanation:
In this question, we need to find how much profit the company made.
First, find how much revenue they made using the expression: 5x² + 2x - 80
Since we know they sold 1,000 videogame systems, plug in 1000 into x.
5(1000)² + 2(1000) - 80
Solve:
5(1000)² + 2(1000) - 80
5000000 + 2000 - 80
Revenue: $5,001,920
Since revenue is not the number for profit, we need to find how much it cost to make the 1000 videogame systems. Use the expression: 5x² – x + 100
Plug in 1000 to x.
Solve:
5(1000)² – 1000 + 100
5000000 – 1000 + 100
Cost to make: $4,999,100
Now, to find the profit, we would subtract the cost to make from the revenue. This is represented with the function: P(x) = R(x) - C(x)
P(x) = Profit
R(x) = Revenue
C(x) = Cost
Solve:
5,001,920 - 4,999,100 = $2,820
This means that the company made $2,820 in profit
7 1/3 - 3 2/3 = 3/23
7 1/3 = 22/3
3 2/3 = 11/3
22/3 - 11/3 = 11/3 = 3 2/3
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Answer:
The standard deviation of the age distribution is 6.2899 years.
Step-by-step explanation:
The formula to compute the standard deviation is:
The data provided is:
X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}
Compute the mean of the data as follows:
![=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B11%7D%5Ctimes%20%5B19%2B19%2B21%2B...%2B40%5D%5C%5C%5C%5C%3D%5Cfrac%7B299%7D%7B11%7D%5C%5C%5C%5C%3D27.182)
Compute the standard deviation as follows:
![=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B11-1%7D%5Ctimes%20%5B%2819-27.182%29%5E%7B2%7D%2B%2819-27.182%29%5E%7B2%7D%2B...%2B%2840-27.182%29%5E%7B2%7D%5D%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cfrac%7B395.6364%7D%7B10%7D%7D%5C%5C%5C%5C%3D6.28996%5C%5C%5C%5C%5Capprox%206.2899)
Thus, the standard deviation of the age distribution is 6.2899 years.
Answer:
x=7
Step-by-step explanation:
Solve.
7x-5x-3=x+4
Calculate like terms.
7x-5x=2x
Rearrange.
2x-3=x+4
Apply inverse addition.
2x-3+3=x+4+3
2x=x+7
Isolate 2x by subtraction.
2x-x=x-x+7
x=7
