slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
Answer:
17.
Step-by-step explanation:
one dash is equal to 2. so just go by twos
Answer:
Answer 1: <u>$6,289</u>
Answer 2: <u>$198</u>
Step-by-step explanation:
1-
a(10)=10,000(1+.05)^10
=16,288.95 =16,288-10,000=<u>$6,289</u>
2-
A(t)=pe^rt=a(10)=10,000e^(.05)(10)=16,487-10,000=6487
6487-6289=<u>$198</u>
1 cup of oil would equal up to 8 fluid ounces
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%
