Answer:
Step-by-step explanation:
Given that :
Number of teams = 14
Each team plays every other team twice ;
Using the combination formula :
nCr = n! ÷ (n-r)! r!
14C2 = 14! ÷ (14 - 2)! 2!
14C2 = 14! ÷ (12)! 2!
14C2 = (14 * 13) ÷ 2 * 1
14C2 = 182 / 2
14C2 = 91
Hence, since they are going to be playing each other twice :
2(14C2)
2 * 91 = 182games
Answer:
The fraction that represents the decimal 0.12 is 3/25
Step-by-step explanation:
step 1: find the place value of the last digit in 0.12
Since they are 2 digits in 0.12 the place value of last digit is the 100 th, therefore 0.12 is the same as 12/100
step 2: simplify 12/100 by dividing both the denominator and numerator by 4
that is <u>1</u><em><u>2 divide by 4 = 3 and 100 divide by 4 =25</u></em>
therefore the fraction = 3/25
Answer:
y=−2x−2
Step-by-step explanation:
i hope it helps
have a good day ^_^
Answers:
- A) Ray QS or Ray QR
- B) Line segment QS or SQ
- C) Plane QSR
- D) Line QS or RQ
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Explanation:
Part A)
When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.
The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.
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Part B)
A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).
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Part C)
When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.
So that's how we get the name "Plane QSR". The order of the letters doesn't matter.
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Part D)
To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.
- Line QR
- Line QS
- Line RQ
- Line RS
- Line SQ
- Line SR
Answer:
0.5
Step-by-step explanation:
Let D be the event of selecting a marble with dots.
Let P be the event of selecting a purple marble.
The probability of selecting a marble with dots, P(D)=0.2
The probability of selecting a marble that is both purple and has dots, 
We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)
By the definition of conditional probability:
The probability of selecting a purple marble given that the marble has dots on it is 0.5.
