Which of the following is the equation of the line that is perpendicular to y=-4x-5 and goes through the point (-2, 3)? Question 14 options: y=-4x-5 y=-1/4x+5/2 y=1/4x+7/2 y=4x+11

The equation of the perpendicular line to y=-4*x-5 is

Step-by-step explanation:

Perpendicular lines are two or more lines that intersect at an angle of 90 degrees. Being  y = m * x + b the equation of a line, two lines, with a slope other than zero, are orthogonal or perpenducillary if and only if the product of their slopes is -1. In other words, if two lines are perpendicular, they have their slopes reversed and sign changed.

In this case, with y = -4x-5 the slope will be -4. So the slope of the perpendicular line will be . Then the equation of the perpendicular line will be:

To find the value of b, you know the value of the point (-2,3). So x = -2 and y = 3. Replacing in the equation of the perpendicular line, you have:

Solving, you get:

The equation of the perpendicular line to y=-4*x-5 is

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

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step-by-step explanation: