Answer:
Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

Answer:
y - 3 = (2/5)(x + 2)
Step-by-step explanation:
Start with the general point-slope form of the equation of a straight line:
y - k = m(x - h). Now substitute -2 for h and 3 for k, and also 2/5 for m:
y - 3 = (2/5)(x + 2)
Answer:
20 ounces
Step-by-step explanation:
the ratio for 10 ounces of pineapple juice to make 25 ounces of fruit punch is 2:5
so x:150
x = 20
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>
This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
brainly.com/question/231802
#SPJ1