Solve by completing the square. x2+6x−6=0

For this case we must solve the following equation by completing squares:

We add 6 to both sides of the equation:

We divide the middle term by 2, and square it:

And we add it to both sides of the equation:

We rewrite the left part of the equation:

We apply root to both sides:

We have two solutions:

Step-by-step explanation:

We have the following equation

To use the method of completing squares you must take the coefficient of x and divide it by 2 and square the result.

Now add 9 on both sides of equality

Factor the term in parentheses

Add 6 on both sides of the equation

Take square root on both sides of the equation

Subtract 3 from both sides of the equation.

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

(1,4)

step-by-step explanation: