X. 1. 2. 3. 4. 5. 6 are all the possible events when rolling a die. If it is a fair die then the probability of rolling any number is 1/6. So the probability of rolling at most a two is p(1)+ p(2)= 2/6 or 1/3
27
This is because 18* of 23 is 4.14 which rounds to 4, and 23 + 4 = 27.
T=time
d=st
r=train speed
p=plane speed
<span>160=rt
</span><span>720=pt
speed of plan is 20kmph less than 5 times speed of train
p=5r-20
we notice that 160 times 4.5=720
times first equaton by 4.5
720=4.5rt
720=pt
set equal
4.5rt=pt
divide both sides by t
4.5r=p
sub </span><span>p=5r-20 for p
4.5r=5r-20
minus 4.5r from both sides
0=0.5r-20
add 20 to both sides
20=0.5r
times 2 both sides
40=r
sub back</span><span>
p=5r-20
p=5(40)-20
p=200-20
p=180
plane is 180kmph
train is 40kmph
</span>
We can use the points (1, 4) and (4, 9) to solve.
Slope formula: y2-y1/x2-x1
= 9-4/4-1
= 5/3 or 1 2/3
Best of Luck!
