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kifflom [539]
3 years ago
5

In a local basketball league championship total 198 games were played, where each team played exactly three games with all the o

ther teams. How many teams participated in this championship?
Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

  12

Step-by-step explanation:

When n teams play each other once, the total number of games is n(n-1)/2. Since each team played every other one 3 times, the relationship between number of teams (n) and number of games is ...

  3(n(n-1)/2) = 198

  n(n-1) = 132 = 12·11 . . . . . . multiply by 2/3 and factor

  n = 12 . . . . . . n = -11 is also an extraneous solution to this quadratic equation

12 teams participated in this championship.

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What domain, range, median, and mode?
omeli [17]
I don't know domain but range is the smallest number and largest number, median is the middle number when the numbers are ordered from least to greatest, and the mode is the most common or reoccuring variable in a set of numbers.
6 0
3 years ago
Write a linear function f with the values f(0)=−3 and f(7)=11.
kotegsom [21]

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

8 0
3 years ago
Solve the system by graphing <br> y = -3/4x + 6 <br> y = 2x - 5
jonny [76]

Answer:

X= 4. Y = 3.

Step-by-step explanation:

If you have a graphing calculator, put the first equation into Y1. And second equation into Y2. Then, find the intersection of the two equations. That's how you find your answer.

4 0
3 years ago
With a short time remaining in the​ day, a delivery driver has time to make deliveries at 4 locations among the 7 locations rema
omeli [17]

Answer:

35 different routes

Step-by-step explanation:

The problem of how many different routes are possible if a driver wants to make deliveries at 4 locations among 7 locations is a combination problem.

Combination problems are usually selection problems, of all or part of a set of options, without considering the order in which options are selected.

The number of combinations of n objects taken r at a time is: ⁿCᵣ

So, the number of ways the driver can make deliveries at 4 locations out of 7 locations of given by

⁷C₄ = 35 different ways.

Hence, 35 different routes are possible to make deliveries at 4 locations out of 7 locations.

Hope this Helps!!!

3 0
3 years ago
If the probability that a person will die in the next year is 613/100,00 What is the
Helen [10]

Answer:

D 99.387%

Step-by-step explanation:

100,000 - 613 = 99,387

99387 / 100,000 is the chance

8 0
3 years ago
Read 2 more answers
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