Answer:
a there is a 1 in 108 chance that he will roll three vowels
b there is a 1 in 216 chance that he will roll the word dip
Step-by-step explanation:
a there is a 2/6 chance of rolling a vowel on the first die, and a 1/6 chance of rolling a vowel on the 2nd and 3rd dice. Multiply these together and you have 1/108.
b there is a 1/6 chance of rolling the letter D on the first die, 1/6 chance of rolling I on the second, and 1/6 chance of rolling P on the third. Multiply these together and you have 1/216.
Answer:The value of the expression increases as r decreases.
Step-by-step explanation:
To find : What happens to the value of the expression as r decreases?
Given Expression: 80-2r
We check for different value of r as decreasing order,
r 80-2r
5 80-10=70
4 80-8=72
3 80-6=74
2 80-4=76
1 80-2=78
As r decreases the value of expression increases.
Therefore, the value of the expression increases as r decreases.
Hope this helps!
If you add it will be 807,683.5
if you multiply it will be 1.82083248E+25
if you divide it will be 1.98800285E−15
Answer:
Matrix multiplication is not commutative.
Step-by-step explanation:
Matrix multiplication is not commutative which means that the result of A*B is not equal to the result of B*A which suggests that the order does matter in matrix multiplication.
AB ≠ BA
Real-world Example:
We can model a set of equations that will represent the number of games won by each team.
Let x represents team Brazil and y represents team Spain.
2x + 3y = 12
6x + 8y = 34
In the matrix form
When we solve this matrix we get x = 3 and and y = 2
Which means that Brazil has won 3 games and Spain has won 2 games.
Now if you change the order of these variables then you wont get the correct results and this is exactly why matrix multiplication is not commutative because the order is important in matrix multiplication.