Answer:
100% chance of this happening.
Step-by-step explanation:
The chances of this happening = 100% because all the numbers are greater than 0.
Answer:
5
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The translation rule
(x, y ) → (x + 3, y - 2 )
Means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
A(- 4, 1 ) → A'(- 4 + 3, 1 - 2 ) → A'(- 1, - 1 )
B(1, 1 ) → B'(1 + 3, 1 - 2 ) → B'(4, - 1 )
C(1, - 2 ) → C'(1 + 3, - 2 - 2 ) → C'(4, - 4 )
D(- 4, - 2 ) → D'(- 4 + 3, - 2 - 2 ) → D'(- 1, - 4 )
We assume the probability on each side is equally probable with probability 1/5.
sum=4 has outcomes:{1,4; 2,3; 3,2; 4,1} 4 possible outcomes
sum=8 has outcomes:{3,5; 4,4; 5,3} 3 possible outcomes.
Total possible outcomes = 5*5=25
there probability of rolling a sum of 4 or 8, by the law of addition, equals
4/25+3/25=7/25
Note: a regular (i.e. fully symmetric) five-sided solid does not exist, so there has to be asymmetry among the probabilities of the five possible outcomes. In addition, it does not have a "top" face, so that makes rolling a five-sided solid a little more difficult to visualize.
Answer:
(x - 1)(x + 1)(x² + 1)
Step-by-step explanation:
Step 1: Factor Difference of Squares
(x² - 1)(x² + 1)
Step 2: Factor Difference of Squares for non-complex binomial root
(x - 1)(x + 1)(x² + 1)
And we have our answer!
