Answer:
680 games
Step-by-step explanation:
Suppose that 681 tennis players want to play an elimination tournament.
1st round:
One of 681 players, chosen at random, sits out that round and 680 players play. There will be 340 winners plus one player which sits - 341 players for the next round and 340 games
2nd round:
There will be 170 winners plus one player which sits - 171 players for the next round and 170 games
3rd round:
There will be 85 winners plus one player which sits - 86 players for the next round and 85 games
4th round:
There will be 43 winners - 43 players for the next round and 43 games
5th round:
There will be 21 winners plus one player which sits - 22 players for the next round and 21 games
6th round:
There will be 11 winners - 11 players for the next round and 11 games
7th round:
There will be 5 winners plus one player which sits - 6 players for the next round and 5 games
8th round:
There will be 3 winners - 3 players for the next round and 3 games
9th round:
There will be 1 winner plus one player which sits - 2 players for the next round and 1 game
10th round - final:
1 champion and 1 game.
In total,
340 + 170 + 85 + 43 + 21 + 11 + 5 + 3 + 1 + 1 = 680 games
Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m
The function in slope intercept form is equal to
we have
-----> the point (0,4) is the y-intercept
substitute
step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m
The function in slope intercept form is equal to
we have
-----> the point (0,4) is the y-intercept
substitute
step 3
Find the value of k
we have
-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k
You know that 3 times 2 is 6 so 30'times 20 equals 60
The value of the probability is 3/14
<h3>How to solve the probability?</h3>
The given parameters are:
P(A) = 4/7
P(B | A) = 3/8
The probability of events A and B occurring is calculated using:
P(A and B) = P(B | A) * P(A)
So, we have:
P(A and B) = 3/8 * 4/7
Evaluate the product
P(A and B) = 3/14
Hence, the value of the probability is 3/14
Read more about probability at:
brainly.com/question/25870256
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Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less
<u>
Solution:</u>
Given that
Maximum amount Jim can spend to rent a boat = $34
Rental cost of boat for 1 hour = $6
Also Jim has a discount coupon for $8 off.
Need to determine possible number of hours Jim could rent a boat.
Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"
Cost of renting boat for 1 hour = 6
So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t
Also Maximum amount Jim can spend to rent a boat = $34
As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44
So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat
=> 6t ≤ 44
On solving above equality for "t" we get ,

Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.