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irga5000 [103]
3 years ago
9

List all the ways to select two members from S with repetition. The order in which the members are selected is not important. Fo

r example, DD is allowed and BA is the same selection as AB.
S = (K,L,M,N,P)
Identify the list of all the ways to select two members from S, allowing for repetition.
Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

9514 1404 393

Answer:

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

Step-by-step explanation:

Instead of starting with adjacent letters in the list, we start with the same letter. There are 15 possible pairs.

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

__

<em>Additional comment</em>

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

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Geometry math question no Guessing and Please show work
MAXImum [283]

If the point P(x, y) partitions the segment AB in the ratio 1 : 1, then the point P is midpoint of segment AB.

The formula of a midpoint of segment:

A(x_A;\ y_A),\ B(x_B,\ y_B)\\\\P_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)

We have:

A(13,\ 1)\to x_A=13,\ y_A=1\\B(-5,\ -3)\to x_B=-5,\ y_B-3\\\\P\left(\dfrac{13+(-5)}{2};\ \dfrac{1+(-3)}{2}\right)\to P\left(\dfrac{8}{2};\ \dfrac{-2}{2}\right)\to P(4,\ -1)

Answer: C. (4, -1)

3 0
3 years ago
Alyssa scored x goals during the soccer game yesterday. Today she scored 3 times as many goals. She scored a total of 4 goals du
damaskus [11]

Answer:

Alyssa had scored 3 goals today.

Step-by-step explanation:

Given:

Number of goals scored yesterday = x

Total number of goals scored in 2 games = 4

We need to find the number of goals scored today.

Solution:

Now Given:

Today she scored 3 times as many goals than yesterday.

So we can say that;

Number of goals scored today = 3x

Now we know that;

Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.

framing in equation form we get;

x+3x=4\\\\4x=4

Dividing both side by 4 we get;

\frac{4x}{4} =\frac{4}{4}\\\\x=1

Number of goals scored yesterday = 1

Number of goals scored today = 3x = 3\times1 =3

Hence Alyssa had scored 3 goals today.

6 0
3 years ago
Express the vector (4,-6) in terms of the standard unit vectors i and j
Aliun [14]
Four, -6 in terms of standard unit factors I NJ makes no sense
8 0
3 years ago
4 times the sum of a number and 15 is at least 120.let x represent the number. find the possible values for x​
Serga [27]

Answer:

Step-by-step explanation:

4(x+15)>_120

4x+60>_120

-60. -60

4x>_60

— —

4 4

X>_12

3 0
3 years ago
Solution for x=5-y and x+y=15
zimovet [89]
It might be no solution:

steps-

x=5-y
x+y=15

substitute the x(which is the top problem) into the second one.

(5-y)+y=15

cancel it out

(5-y)+y=15
-5. -5

a negative plus a positive is gonna equal 0

-y+y=15-5

0=10

that is no solution..
7 0
3 years ago
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