Step-by-step answer:
We are looking at the coefficient of the 22nd term of (x+y)^25.
Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on, 22nd term is x^21y^4.
The twenty-second term of (x+y)^25 is given by the binomial theorem as
( 25!/(21!4!) ) x^21*y^4
=25*24*23*22/4! x^21y^4
= 12650 x^21 y^4
The coefficient required is therefore 12650, for a binomial with unit valued coefficients.
For other binomials, substitute the values for x and y and expand accordingly.
Question would have been more clearly stated if the actual binomial was given, as commented above.
Answer:
The probability that 5 chosen bagels of which exactly 3 are Asiago cheese = 0.3087 or 30.87%
Step-by-step explanation:
Given:
Total bagels brought to school = 10
Number of Asiago cheese bagels = 7
To find the probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese.
Solution:
Let probability of choosing an Asiago cheese bagel be the successful event.
Probability of choosing one Asiago cheese bagels =
Probability of success = 0.7
Probability of failure ( not choosing an Asiago cheese bagel) = 1 - Probability of success =
Using Bernoulli Trials
To calculate the binomial probability of obtaining exactly events in trials the formula used is:
⇒
where Probability of success
Probability of failure
Thus, probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese can be calculated as :
⇒
⇒
⇒
⇒
⇒ (Answer)
Answer:
y-2= - 1/11 (x-3)
Step-by-step explanation:
The slope is m=y2-y1/x2-x1=3-2/-8-3=1/-11=-1/11
Equation of a line is
y-y1=m(x-x1)
y-2= - 1/11 (x-3)
Answer:
no complex zeros.
Step-by-step explanation:
The given equation is
To find the zeros equate y=0.
We know that, if n>0, then
So,
It means zero or root of the given equation is 0 with multiplicity 5.
Therefore, the given equation have no complex zeros.
Answer:
401 shirts
Step-by-step explanation:
1203 divided by 3 equals to 401