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makkiz [27]
3 years ago
13

Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given i

n the table. What is the relationship between the two variables? Number of Players on the Team Time Taken to Complete Game (in minutes) 1 32 2 26 3 20 4 14 5 8 A. positive linear association B. exponential relationship C. negative linear association D. no relationship
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

  • C. negative linear association

Step-by-step explanation:

<u>We have ordered pairs:</u>

  • (1, 32), (2, 26), (3, 20), (4, 14), (5, 8)

<u>Looking at the sequence of y-values:</u>

  • 32, 26, 20, 14, 8

We see it is the arithmetic progression with common difference of -6.

It means the function representing this relationship is linear.

Correct option is C.

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Planes A and B intersect in line s. If point Vis a point on line s, then it lies on:
Trava [24]

Answer:

Option C.

Step-by-step explanation:

It is given that planes A and B intersect in line s.

It means, all points lie on the line s must be lie on both plane A and B because s is the line of intersection of both plane A and B.

It is given that V is a point on line s.

Since, the point V lies on line s, therefore it is also lies on both plane A and B.

Hence, the correct option is C.

7 0
3 years ago
(GIVING BRAINLIEST!!)
melomori [17]

Answer:

your answer is gonna be "A" if you want to type 1/14 into the calculator.

8 0
3 years ago
Read 2 more answers
The product of 5 and the cube of a number increased by the difference of 6 and x
Kobotan [32]

Answer:

A = (5 x Z³) + (6 - X)

Step-by-step explanation:

given the information provided, this is the equation you're looking for

8 0
3 years ago
--/: Lesson Quiz<br> Why is subtracting an expression similar to distributing a -1?
o-na [289]

Answer:

You increase each term inside the parentheses by -1 in order to subtract each term, since the subtraction is the additive inverse

3 0
2 years ago
4. A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean
Ede4ka [16]

Adding 2 to each value of the random variable X makes a new random variable X+2. Its mean would be

E[X+2]=E[X]+E[2]=E[X]+2

since expectation is linear, and the expected value of a constant is that constant. E[X] is the mean of X, so the new mean would be

E[X+2]=10+2=12

The variance of a random variable X is

V[X]=E[X^2]-E[X]^2

so the variance of X+2 would be

V[X+2]=E[(X+2)^2]-E[X+2]^2

We already know E[X+2]=12, so simplifying above, we get

V[X+2]=E[X^2+4X+4]-12^2

V[X+2]=E[X^2]+4E[X]+4-12^2

V[X+2]=(V[X]+E[X]^2)+4E[X]-140

Standard deviation is the square root of variance, so V[X]=3^2=9.

\implies V[X+2]=(9+10^2)+4(10)-140=9

so the standard deviation remains unchanged at 3.

NB: More generally, the variance of aX+b for a,b\in\mathbb R is

V[aX+b]=a^2V[X]+b^2V[1]

but the variance of a constant is 0. In this case, a=1, so we're left with V[X+2]=V[X], as expected.

5 0
3 years ago
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