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Genrish500
8 days ago
12

There are 13 teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they

all play without any team playing more than one game a day
Mathematics
1 answer:
Leona [4.1K]8 days ago
6 0
For team one, they have to compete against 12 different teams, which amounts to 12 days of play.

Team two, which has already played team one, will only need to participate in 11 more days.

Team three has already faced teams one and two, leaving them with 10 additional days.

Continuing this pattern results in a total of 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78 days.

Alternatively, you can calculate the number of unique matches as 13*12 / 2! = 78.

Another way is by calculating combinations of 13 taken 2 at a time: 13C2 = 13! / [(2!)(11!)] = 13*12*11! /(2!*11!)= 13*12/2 = 78.
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Fill in the blanks. a. A​ relative-frequency distribution is to a variable as a​ __________ distribution is to a random variable
AnnZ [3877]

Answer:

a. A relative-frequency distribution relates to a variable just as a _____probability_____ distribution relates to a random variable. b. A relative-frequency histogram pertains to a variable similarly to how a _____probability_____ histogram pertains to a random variable.

Step-by-step explanation:

Probability, a mathematical concept, involves numerical assessments of how likely a certain event may occur, indicating the validity of its occurrence. The range for the probability of any event is typically between 0 and 1,

with 0 signifying impossibility and 1 indicating certainty of occurrence.

4 0
12 days ago
Which of the following functions is graphed below?
Svet_ta [4321]

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; please refer to the attached document for the full details.

In the attached graph,

The parent function is defined as an absolute value function,

f(x) = |x|

When this graph is moved four units to the left, the translation rule becomes,

f(x) → f(x + 4)

Consequently, the new function following this translation is,

g(x) = f(x + 4) = |x + 4|

Now, with the graph shifted down by two units, the translated function becomes,

h(x) = g(x) - 2

h(x) = |x + 4| - 2

When reformulated as an equation, the graph can be represented by

⇒ y = |x + 4| - 2

Thus, Option (B) is the correct answer.

8 0
14 days ago
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
zzz [4022]
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years

An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years

I hope this is helpful:-)
7 0
4 days ago
Read 2 more answers
You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi
PIT_PIT [3919]

Answer:

The cabin is located 567 yards away.

Step-by-step solution:

The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.

Apply the tangent function:

Opposite side length: 220 yards

Adjacent side length: x (distance to cabin)

tan(21.2°) = opposite / adjacent

tan(21.2°) = 220 yards / x

Multiply both sides by x:

x × tan(21.2°) = 220 yards

Isolate x:

x = 220 yards / tan(21.2°)

x = 220 / 0.388

x = 567 yards

Hence, the cabin is 567 yards away.

6 0
14 days ago
What is the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales rev
Inessa [3907]

Answer: 0.46

Step-by-step explanation:

B&B Motors' mini trucks yield 0.59; all four companies combined yield 0.39; mini trucks yield 0.13. Hence, 0.59 - 0.13 equals 0.46.

3 0
2 days ago
Read 2 more answers
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