What is the interquartile range?<br> (a) 18<br> (b) 35<br> (c) 57<br> (d) 68<br> (e) 75

Suppose that 10 people, including you and a friend, line up for a group picture. How many ways can the photographer rearrange th

slamgirl [31]

Answer:

483 840 ways

Step-by-step explanation:

Let you and your friend be A and B.

With three people always between you two,, we have

Case 1: AxxxBxxxxx

Case 2: xAxxxBxxxx

Case 3: xxAxxxBxxx

Case 4: xxxAxxxBxx

Case 5: xxxxAxxxBx

Case 6: xxxxxAxxxB

So there is 6 ways of arranging you two through the line and for each of the six cases,

If you two remained in your positions, the rest can be arranged in 8! ways

Also for each case, you two can interchange your positions in 2! ways

Therefore,

The photographer can rearranged the line keep three people between you an your friend in

8! * 2! * 6 = 483 840 ways

7 0

3 years ago

Use long division or synthetic division to find the quotient of 2x^3+x^2+1 / x+1

gogolik [260]

Answer:

The quotient is 2x^2 - x + 1.

Step-by-step explanation:

If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:

-1 / 2 1 0 1

-2 1 -1

----------------------

2 -1 1 0

The quotient is 2x^2 - x + 1. The coefficients were obtained through synthetic division.

7 0

2 years ago

Find the missing value of the direct variation (2,5) (5,y)

Karolina [17]

Answer:

The missing value y=12.5 and we have (5,12.5)

Step-by-step explanation:

The formula used for direct variation is:

$y\: \alpha \:x\\y=kx$

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

$y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5$

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

$y=kx\\y=2.5(5)\\y=12.5$

So, the missing value y=12.5 and we have (5,12.5)

7 0

2 years ago

Decompose the figure into regions that are closest to each

Korolek [52]

The image is decomposed as follows: H1 and H2. Where original graph is Hx.

<h3>Are the images (attached) valid decompositions of the original graph?</h3>

Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
H1 ∪ H2 = Hx
They have no edges in common.

Hence, {H1 , H2} are valid decomposition of G.

<h3>What is a Graph Decomposition?</h3>

A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx

See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.

Learn more about decomposition:
brainly.com/question/27883280
#SPJ1

7 0

1 year ago

1.221 x 1/100 =<br> answer with the product. Correct answer will be awarded with branliest

Vladimir79 [104]

Answer:

0.1221

Step-by-step explanation:

8 0

3 years ago

What is the interquartile range? (a) 18 (b) 35 (c) 57 (d) 68 (e) 75