we could look at the picture with a bit less lines, check the picture below.
that simply means that those two blue angles are linear angles and therefore add up to 180°.
Answer:
<em>110°</em>
Step-by-step explanation:
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5
Hi Chandlermatos13,
To find the answer to your problem we would need to multiply. $500 x 4 would be $2,000.
Your answer is $2,000
Hope this helps
Cupkake~
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%