Which equation represent a line parralel to y=4x+1 and passes through (1,7)?

y=4x+3

Step-by-step explanation:

3 plus 4 is 7, 0 plus 1 is 1, so yeah, same slope and y-intercept is in a spot so the next point on the line is (1,7)

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 1 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

To find c substitute (1, 7 ) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of parallel line

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