Answer:
A. 77 kilometers per hour
Step-by-step explanation:
Speeds of vehicles are normally calculated in kilometers per hour, meters per hour is too small the measurement and millimeters is even smaller.
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
Answer:
2/3
Step-by-step explanation:
First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.
Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.
Finally, you simplify the fraction. 20/30=2/3.
Answer:
Option A. <A and <B are complementary angles
Option D. 
Step-by-step explanation:
we know that
If ABC is a right triangle
then
------> by complementary angles
and
Remember that
so
Answer:
8
Step-by-step explanation:
Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4
That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.
So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).
8 and 8 certainly exceed 4.
