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Lorico [155]
3 years ago
5

What is the fourth term of (x + y)8

Mathematics
2 answers:
ivanzaharov [21]3 years ago
6 0
(x+y)^{2}
The fourth term is;
x^{5} (y )^{3}
=x^{5}  y^{3}
From table of binomial coefficients;
=56x^{5}  y^{3}
OLga [1]3 years ago
5 0

Answer:  The required forth term of the given expansion is 56x^5y^3.

Step-by-step explanation:  We are given to find the fourth term of the following binomial expansion :

E=(x+y)^8.

We know that

in the binomial expansion of the expression (a+b)^n, the r-th term is given by

T_r=^nC_{r-1}a^{n-r+1}b^{r-1}.

Therefore, the fourth term of the given binomial expansion will be

T_4\\\\\\=^8C_{4-1}x^{8-4+1}y^{4-1}\\\\\\=\dfrac{8!}{3!(8-3)!}x^5y^3\\\\\\=\dfrac{8\times7\times6\times5!}{3\times2\times1\times5!}x^5y^3\\\\\\=56x^5y^3.

Thus, the required forth term of the given binomial expansion is 56x^5y^3.

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Step-by-step explanation:

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In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu
Sindrei [870]

The probability that all of them will be defective is 0.0000759375

<em><u>Explanation</u></em>

The general <u>Binomial Probability</u> formula is....

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Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375

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7 0
4 years ago
The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produce
ohaa [14]

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

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To find the amount that the Consolidated Brick Company produced, solve for c:

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Step-by-step explanation:

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