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3 years ago

How many three letter arrangements can be made from the letters of COMPLEXITY?*

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

720 arrangements

Step-by-step explanation:

We have three spaces that we want to fill with any letter from "complexity":

__ __ __

For the first space, we have 10 letters to choose from (there are 10 letters in the word "complexity"). For the second space, since we have already used up one letter for the first space, we have 9 letters remaining to choose from. Similarly, we only have 8 letters remaining to choose from for the last space.

Now, we multiply them all together: 10 * 9 * 8 = 720 arrangements.

Note that we multiply instead of add. This is because for any letter we place in space 1, it can be paired with any of the 9 letters for space 2 and any of the 8 letters for space 3.

Hope this helps!

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Alexandra has $15 to buy drinks for her friends at the baseball game. Soda

EleoNora [17]

Answer:

Step-by-step explanation:

write an equation for the costs:

if x is the number of sodas

and y is the number of waters

2.75x + 2y <= 15

(<= is less than or equal to)

if we substitute 3 for y

we get 2.75x + 2(3) <= 15

2.75x + 6 <= 15

2.75x <= 9

9 / 2.75 = 3.2727

however, you cannot buy part of a soda

so, round to 3

you also cannot buy negative sodas

so, the answer is C

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3 years ago

Find the distance between the points.<br> (r, s) and (0, 0)

zhenek [66]

Answer: $\sqrt{r^2+s^2$

=====================================================

Reason:

Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.

Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.

The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.

Check out the diagram below.

We then apply the pythagorean theorem to say $r^2+s^2 = h^2$ where h is the hypotenuse. Solving for h gets us $h = \sqrt{r^2+s^2}$ . We only focus on the positive square root since a negative hypotenuse makes no sense.

Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.

Therefore, the distance from (r,s) to (0,0) is $\sqrt{r^2+s^2}$

As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.

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2 years ago

Name two intersecting line segments that are not perpendicular.

liubo4ka [24]

I don't see anything, but any line that doensnt have the right angle sign is not perpendicular.

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3 years ago

I need help!!!!!!!!!?

ycow [4]

Is it radius or circumference?

5 0

3 years ago

A survey was conducted among 1000 people. Of these 595 are Democrats, 595 wear glasses and 550 like ice-cream; 395 of them are D

GREYUIT [131]

The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.

We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.

let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.

So,

D=595, G=595 AND I=550

Now D∩G=395

D∩I=350

G∩I=400

so D∩G∩I=250

Formula will be :

D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)

=595+595+550-(395+350+400)+250

=845

845 are either democrats or wear glasses as well as like ice cream.

So 1000-845=155

Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)

=595-(395+300)+250

=845-695

=150 people.

Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

Learn more about sets at brainly.com/question/2166579

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4 0

1 year ago