3. A car and a bus are travelling towards each other. They are 510 km apart at 13 20 and they pass each other at 16 20. If the car is travelling at a
speed of 90 km/h, find the speed of the bus.

Let the speed of the bus be x,

Distance = speed × time

(90+x) (16:20 –13:20) = 510

=> 3(90+x) = 510

=> 270 + 3x = 510

=> 3x = 510–270

=> x = 240/3

=> x = 80

Thus, the speed of the bus is 80km/hr.

constants mean the stopped points or the points on a graph that nothing is changing, hope this

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