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Answer:
-2c^3 - 4c^2 + 1
Discussion:
(-7c^3 + 5c^2 + 1) + (5c^3 - 9c^2) = => combine like terms
(-7c^3 + 5c^3) + (5c^2 - 9c^2) + 1 =
-2c^3 - 4c^2 + 1
Thank you,
MrB
Answer:
m= 4.8 months
Step-by-step explanation:
by taking x as the money the International Business Club has at any time of the year,250.5 for their initial money, 35 as the money they spend every month and m being the month that have passed since the beginning of the school year; it all can be related to the following equation:
x= 250.5 - (35*m)
And doing the same thing with the money from the Future Agricultural Leaders Club, associating their money to the variable y, the equation would be:
y=300 - (45.25*m)
as it is wanted to know at what month does both clubs have the same amount of money, x and y, must be the same, so:
250.5 - (35*m) =300 - (45.25*m)
this equation can be solved by putting both terms that are related to m on the same side of the equality, and those who aren’t related on the other side:
(45.25*m) - (35*m)= 300 -250.5
then, on the first side of the equation, m can be taken out as common factor:
(45.35-35)*m=49,5
and solving for m:
m=
m=4.8
Answer:
HOPE YOU LIKE IT:)
Step-by-step explanation:
Poisson Distribution
There are two main characteristics of a Poisson experiment.
The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.
The Poisson distribution may be used to approximate the binomial if the probability of success is “small” (such as 0.01) and the number of trials is “large” (such as 1,000). You will verify the relationship in the homework exercises. n is the number of trials, and p is the probability of a “success.”
The random variable X = the number of occurrences in the interval of interest.
The average number of loaves of bread put on a shelf in a bakery in a half-hour period is 12. Of interest is the number of loaves of bread put on the shelf in five minutes. The time interval of interest is five minutes. What is the probability that the number of loaves, selected randomly, put on the shelf in five minutes is three?
- Let X = the number of loaves of bread put on the shelf in five minutes. If the average number of loaves put on the shelf in 30 minutes (half-hour) is 12, then the average number of loaves put on the shelf in five minutes is \left(\frac{5}{30}\right)(12) = 2 loaves of bread.
The probability question asks you to find P(x = 3)
Answer:
A polynomial is prime if it can not be factored into polynomials of lower degree also with integer coefficients.
For example, the first option:
x^3 + b*x^2 can be rewritten as:
(x - 0)*(x^2 + b*x)
So it is not prime.
The second option:
x^2 -4x - 12
Because here we can factor this into:
(x + 2)*(x - 6) = x^2 - 6x + 2*x - 12 = x^2 - 4x - 12
Now, the third option is a two variable polynomial, here the degree is equal to the sum of the degrees of both variables.
x^4 + 8*x*y^3
(x - 0)*(x^3 + 8*y^3)
So each side has a lower degree than the original polynomial, then it is not prime.
4th option:
x^2 - b^3
This can be written as:
(x + b^(3/2))*(x - b^(3/2))
Now, here we have a problem.
If for example, b = 1, this would not be a prime.
because 1^(3/2) = 1.
But if b^(3/2) is not an integer, then we can not factorize the initial polynomial into lower degree polynomials with only integer coefficients, then we can not be 100% sure that this is not a prime polynomial, then this is the correct option.
Given that lines a and b are parallel to each other and t is the transversal, we can only use the interior complimentary and angles, exterior complimentary angles to prove that they are congruent. This is because they are the main properties of the parallel lines.