-13/24 because u have to multiply to get the same denominator which would end up being -15/24 and 2/24 add that to get -13/24
<span>-31=-6z-4z
Subtract 4z from -6z
-31=-10z
Divide both sides by -10
Final Answer: 3.1 or 3 1/10</span>
The distance formula is the square root of (X2 - X1)^2 + (y2 - y1)^2. Let D = y and c = x. Plug in the numbers now. Your equation is now the square root of ( -3 - (-5)) ^2 + (-2 - (-4))^2. Now complete it, your answer is 2.82...
Answer: first answer choice (1/3) (p+45)
Step-by-step explanation:
to do this, factor out 1/3 from each element
so divide 1/3 p by 1/3 and 15 by 1/3
(1/3 p) / (1/3 ) = p
15 / (1/3) = 15 * 3 = 45
now put 1/3 outside of the parentheses
(1/3) (p+45)
Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:
N = 8, k = 5, n = 3, x = 3.
Hence the probability is given by:


0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
#SPJ1