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4 years ago

Find the standard form polynomial that represents this product. (6 - y - 4y^2)(-5 + 7y^2)

Mathematics

1 answer:

Tema [17]4 years ago

5 0

Answer:

-28y^4 - 7y^3 + 62y^2 + 5y - 30

Step-by-step explanation:

Opening the parenthesis and simplifying by combining like terms:

(6 - y - 4y^2)(-5 + 7y^2) =
6(-5) +6(7y^2) - y(-5) -y(7y^2) -4y^2(-5) -4y^2(7y^2) =
-30 + 42y^2 + 5y - 7y^3 +20y^2 -28y^4 =
-28y^4 - 7y^3 + 62y^2 + 5y - 30

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and are independent Gaussian (Normal) random Variables. has mean 13.9 and variance 5.2; has mean 6.9 and variance 3.8. . (a) Cal

omeli [17]

This question is incomplete, the complete question is;

X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)

Answer:

P( W> 10) is 0.1587

Step-by-step explanation:

Given that;

X ⇒ N( 13.9, 5.2 )

Y ⇒ N( 6.9, 3.8 )

W = X - Y

Therefore

E(W) = E(X) - E(Y)

= 13.9 - 6.9 = 7

Var(W) = Var(X) + Var(Y) -2COV(X.Y)

[ COV(X,Y) = 0 because they are independent]

Var(W) = 5.2 + 3.8 + 0

= 9

Therefore

W ⇒ N( 7, 9 )

P( W > 10 )

= 1 - P( W ≤ 10 )

= 1 - P( W-7 /3 ≤ 10-7 /3 )

= 1 - P( Z ≤ 1 ) [ Z = W-7 / 3 ⇒ N(0, 1) ]

from Standard normal distribution table, P( Z ≤ 1 ) = 0.8413

1 - P( Z ≤ 1 ) = 1 - 0.8413 = 0.1587

Therefore P( W> 10) is 0.1587

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3 years ago

Given that point U is the circumcenter of triangle XVZ, which segments are congruent?

Evgen [1.6K]

By definition, when we say congruent, this means that the segment or sides have exactly the same length or identical. Based on the given figure above given that point U is the circumcenter of triangle XVZ, the segments that are segment UW, segment UY, and segment UA. Also segment UV and segment UZ. Hope this answer helps.

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3 years ago

Read 2 more answers

How many solutions exist for the given equation? 12×+1=3(4×+1)-2

Ipatiy [6.2K]

Answer:

infinite Solutions

Step-by-step explanation:

12x+1 = 12x+3-2

12+1 = 12x+1

The equation is same on both sides, so x can be anything.

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