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Agata [3.3K]
3 years ago
14

How many 5 letter “words” can you create using letters from the word SURVEY if no letter can be used more than once? (Note: the

“words” can be any arrangement of letters)
Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

720 words

Step-by-step explanation:

There are 6 letters in the word SURVEY and no repeat letters. There are 6 choices for the first letter, 5 for the second and so on until we have 2 choices for the last letter so the answer is 6 * 5 * 4 * 3 * 2 = 720.

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What is the solution to the following system?
leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]

Now I will shift rows to make my pivot point (top left) a 1 and so:

\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]

\frac{R_2}{9}=R_2


\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]


4R2+R1=R1 , -14R2+R3=R3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]


-\frac{9}{20}R_3=R_3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]


-\frac{4}{9}R_3+R_2=R2 , -\frac{7}{9}R_3+R_1=R_1


\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]


Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to".  Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0
3 years ago
1. Over the six months what was the average market price per share?
lozanna [386]
A) The average market price is (12 + 8 + 10 + 13 + 14 + 8) / 6 = $10.83

b) The total amount spent was: 12*8 + 8*12 + 10*10 + 13*7 + 14*7 + 8*12 = $577. The total number of shares was: 8 + 12 + 10 + 7 + 7 + 12 = 56. Therefore the average price per share was $577 / 56 shares = $10.30/share.
c) Since the cost per share in June was $12, and her average cost was $10.30, dollar-cost averaging worked in her favor since her average cost was lower.
6 0
3 years ago
Solve this please quickly
Volgvan

Answer:

1. m∠B=110°

2. 560 cm3

3. Numerical data

4. 2000 cm3

5. 50%

Step-by-step explanation:

1. The explanation of part 1 is given in the attachment.

2. Given dimensions : 10 cm, 8 cm, and 7 cm.

Let Length of cuboid =10 cm

breadth/width of cuboid  =8 cm

height of cuboid = 7cm

Volume of cuboid = length *width* height

=( 10 *8*7) cm3

=(560) cm3

3. Age, Birth date  and weight are the types/examples of "<u>Numerical Data"</u> because these all are describe in terms of numeric values.

4. 1 liter = 1000 cm3   or   1 cm3 = 0.001 liter

1.5 liters =(1.5*1000) cm3 = (15*100) =1500 cm3

1 dm3 =1000 cm3

0.35 dm3 = (0.35*1000) cm3 = (35*10) cm3 =350 cm3

Given expression: 1.5 litre + 0.35 dm3 + 150 cm3 = <u>               </u> cm3

1500 cm3 + 350 cm3 +150 cm3 = <u>2000</u> cm3

5. If A=(1/2)B, then B : A = <u>50</u> %

Ratio: B : A

B : (1/2) B

1: (1/2)

50 % (The value of A is half of the value of B)

Download docx
6 0
3 years ago
What is the sum of 2/5 and 2/4
Helga [31]
9/10....................................
5 0
3 years ago
I need to the anser to 4 times 6c
faltersainse [42]

Answer:

24c

Step-by-step explanation:

I see 4 times 6c, which is,

24c

Hope this helps!!

5 0
3 years ago
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