A line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6. What is the value of B?

B = 2

Step-by-step explanation:

I used Desmos to get a visual representation to help.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Hope this helps!

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %