About 750 different permutations
Answer:
Fourth degree polynomial (aka: quartic)
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Work Shown:
There isnt much work to show here because we can use the fundamental theorem of algebra. The fundamental theorem of algebra states that the number of roots is directly equal to the degree. So if we have 4 roots, then the degree is 4. This is assuming that there are no complex or imaginary roots.
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If you want to show more work, then you would effectively expand out the polynomial
(x-m)(x-n)(x-p)(x-q)
where
m = 4, n = 2, p = sqrt(2), q = -sqrt(2)
are the four roots in question
(x-m)(x-n)(x-p)(x-q)
(x-4)(x-2)(x-sqrt(2))(x-(-sqrt(2)))
(x-4)(x-2)(x-sqrt(2))(x+sqrt(2))
(x^2-6x+8)(x^2 - 2)
(x^2-2)(x^2-6x+8)
x^2(x^2-6x+8) - 2(x^2-6x+8)
x^4-6x^3+8x^2 - 2x^2 + 12x - 16
x^4 - 6x^3 + 6x^2 + 12x - 16
We end up with a 4th degree polynomial since the largest exponent is 4.
Answer:
B. 3x+1
Step-by-step explanation:
(3x+3)+(2x+1)+(4x+2)=9x+6
(12x+7)-(9x+6)=3x+1
Answer:
a. Z-test of a population mean.
Step-by-step explanation:
The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.
Population mean or proportion?
Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.
Answer:
Step-by-step explanation:
In order to determine if James and Paco earn different amounts of money per hour, you must find how much money they make in one hour.
James:
James makes $35.40 in 3 hours. So, in 1 hour, he would make 35.40/3 = 11.8.
James makes $11.80 an hour.
Therefore, his equation would be d = 11.8h
Paco:
Paco makes $24.00 in 2 hours. So, in 1 hour, he would make 24/2 = 12.
Paco makes $12.00 an hour.
Therefore, his equation would be d = 12h
Hence, Paco and James make different amounts of money. Paco makes 20 cents, or $0.20, more than James.
