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Andru [333]
4 years ago
7

List P contains m numbers; list Q contains n numbers. If the two lists are combined to produce list R, containing m + n numbers,

is the median of list R greater than the median of list P? (1) The smallest number in list Q is greater than the largest number in list P. (2) m = n
Mathematics
1 answer:
Anarel [89]4 years ago
5 0

Answer: YES

Step-by-step explanation:

We need to write out the expressions

P= {m}

Q= {n}

R= {m+n}

If 2m=n then we can say;

P= {½n} Q= {n} & R= {³/²n}

It is obvious that the smaller number in Q is greater than the largest number in P

We can make some assumptions.

Let n= (x,y,z)

Consequently,

P={½x,½y,½z} Q={x,y,z} and R= {1.5x,1.5y,1.5z}

Therefore the median will be the middle element,

Median of P= ½y

Median of Q = y

Median of R = 1.5y

And 1.5y>1.5y

Then we can agree that the median of R is greater than the median of both P and Q

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slamgirl [31]
Find all the number in the set that are less than -7.

The 'bigger' the negative number seems, the smaller it is.

So -15, -10.5, and -7.2 are all less than -7.
4 0
4 years ago
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in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classro
Oliga [24]

Answer:

  3

Step-by-step explanation:

Those wearing a shirt of another color are ...

  1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8

of the total number of students in the classroom

  (1/8)×(24 students) = 3 students . . . . wearing another color

_____

<em>Alternate solution</em>

With the given information, you know ...

  (5/8)(24) = 15 . . . students wear blue

  (1/4)(24) = 6 . . . . students wear white

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6 0
3 years ago
Find the product .-2 [7 -4 0]
Makovka662 [10]
It says find the product, so that means multiplication
-2[7 -4 0] = [-14 8 0]                                           solving: [-14 8 0] [-3 0 5]
                                                                           [42+0+70     -24+0+40   0+0+0]  
  [-14 8 0] * [-3 0 5] = [112 0 -30]                           = [112  16  0]
                                                                          [112  16  0]*[6  2  1]
[112 0 -30]* [6 2 1] = [1008 114 0]                  [672+224+112    96+32+16   +0]
                                                                          =[1008  114  0].

4 0
3 years ago
Which graph is the solution to the inequality –3x − 6 &gt; 9?
Sati [7]

Answer:

See attachment

Step-by-step explanation:

First solve this like a normal equation:

-3x - 6 > 9

Add 6 to both sides:

-3x > 9 + 6

-3x > 15

Divide by -3 and remember to switch the inequality sign:

x < 15/(-3)

x < -5

Think about the graph of x = -5. It's a vertical line crossing the y-axis at x = -5. Now, we have x is less than -5. That means all the values less than -5 should be viable solutions. So, shade the part of the graph to the left of the vertical line.

Also, since we have x < -5 and not x ≤ -5, the line should be dotted.

See graph attached.

<em>~ an aesthetics lover</em>

5 0
3 years ago
Instructions for a blanket call for 36 yards of yarn. A skein of yarn has 6 feet in in. How many skeins of yarn do you need?
Aloiza [94]
For this case the first thing you should know is the following unit conversion:
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 N = 18
 Answer:
 
You need 18 skeins of yarn
5 0
3 years ago
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