The probability of winning is 0.44 .
<u>Step-by-step explanation:</u>
Here it's given that , You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. More precisely :
Now, we choose a random opponent and we need to find probability of winning which is possible as :
<u>1. player chosen from type1</u>
<u>2. player chosen from type2</u>
<u>3. player chosen from type3</u>
Combining all cases we get :
⇒ 
⇒ 
⇒ 
∴ The probability of winning is 0.44 .
From the second equation ,we can know that y=3.25x+0.75
plug it into the first equation
-4.5x-2(3.25x+0.75)=-12.5
-4.5x-6.5x-1.5=-12.5
-11x=-11
x=1
plug it back into the second equation, y=3.25x+0.75=4
the answer would be (1,4)
Answer:
Step-by-step explanation:
the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.
50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.
Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.
this is the formula that can help with any percentage math problem:
The percentage of something ÷ 100% = the number you are looking for ÷ the total
in our case:
40÷100 = x (because it is the unknown term)÷60
from here you cross multiple getting
2400÷100x
which equals
24
now we have to add Vicky's and Iverson's voter
24 + 30= 54
60-54=6
6 students did not participate
Your answer just going to be 0.5x
Answer:
I think it’s 819 because 819-718=121s
Step-by-step explanation: