An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared
2 answers:
Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: and
If the given quadratic expression is of the form ,
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
The given expression is
Comparing it with the standard form of quadratic expression , we get: a = 7, b = -3, c = -4
ac = -28
-28 = -2 times 14
-28 = -7 times 4 (-7 + 4 = -3 = b)
Thus,
Thus, we get:
Thus, The factors of given expression are: and
Learn more about factor of quadratic equation here:
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We should first calculate the average number of checks he wrote per day. To do that, divide 169 by 365 (the number of days in a year) and you get (rounded) 0.463. This will be λ in our Poisson distribution. Our formula is
. We want to evaluate this formula for X≥1, so first we must evaluate our case at k=0.
To find P(X≥1), we find 1-P(X<1). Since the author cannot write a negative number of checks, this means we are finding 1-P(X=0). Therefore we have 1-0.3706=0.6294.
There is a 63% chance that the author will write a check on any given day in the year.<em />
To find P(X≥1), we find 1-P(X<1). Since the author cannot write a negative number of checks, this means we are finding 1-P(X=0). Therefore we have 1-0.3706=0.6294.
There is a 63% chance that the author will write a check on any given day in the year.<em />