X2 – 3xy – 5xy – 7y2 + 4x2 + 8y2

SIMPLIFY THE EQUATION

The simplification of the equation x² – 3xy – 5xy – 7y² + 4x² + 8y² is y² + 5x² - 8xy

Given:

x² – 3xy – 5xy – 7y² + 4x² + 8y²

collect like terms

x² + 4x² - 7y² + 8y² - 3xy - 5xy

5x² + y² - 8xy

Also written as

y² + 5x² - 8xy

Therefore, the simplification of the equation x² – 3xy – 5xy – 7y² + 4x² + 8y² is

y² + 5x² - 8xy

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=5x^2−8xy+y^2

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Step-by-step explanation:

2−3xy−5xy−7y2+4x2+8y2

=x2+−3xy+−5xy+−7y2+4x2+8y2

Combine Like Terms:

=x2+−3xy+−5xy+−7y2+4x2+8y2

=(x2+4x2)+(−3xy+−5xy)+(−7y2+8y2)

=5x2+−8xy+y2

=5x2−8xy+y2

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step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560