Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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Answer:
<h2>Yes</h2>
Step-by-step explanation:
He did set a record because 7/20 = 0.35. 11.35 < 11.4 seconds.
<em>PLEASE MARK BRAINLEST</em>
Answer:
Step-by-step explanation:
Probability of black pens = 3/14
Probability of white paper clips = 16/40
to find the probability of black pen and white paper clip we have to multiply these two probability.
3/14 x 16/40 = 48/560 = 8.6
Answer:
1:10pm
Step-by-step explanation:
1st, you add all the time needed to make the chili & cook it.
1 hour + 10 minutes + 1 hour + 40 minutes = 2 hours & 50 minutes.
Now you work backwards from 4:00pm.
You go back 2 hours & you would be at 2:00pm
Now you go back another 50 minutes & you would be at 1:10pm
To double check, you can add 2 hours & 50 minutes to 1:10pm & you would get 4:00pm
Let the numbers be x and y.
by the first statement of the question, we get , x + y = 30.,,..(1)
by the second satement, we get , x = y+ y => x=2y... (2)
from equation (2), let us put the value of x in equation (1),
x + y = 30
=> 2y + y = 30
=> 3y = 30
=> y =30/3
=> y = 10
and x=2y => x = 2*10 = 20
in short, the numbers are 10 and 20
