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scZoUnD [109]
2 years ago
5

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Mathematics
2 answers:
Anna007 [38]2 years ago
6 0

Answer:

<u>Given data:</u>

  • 4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

<u>Put the data in the ascending order:</u>

  • 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8

<u>Mean, the average:</u>

  • (1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5

<u>Median, average of middle two numbers:</u>

  • 3

<u>Mode, the most repeated number:</u>

  • 2 (repeated 5 times)

Mean is normally the best measure of central tendency, same applies to this data.

Blababa [14]2 years ago
3 0

Answer: Mean=  6

               Mode= 2

               Median =3

Step-by-step explanation:

I knows it

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Match the following items.
Novosadov [1.4K]

The Matchup are:

1. 1/3(24+15)=1/3•24+1/3•15 -  distributive property

2. 101+(29+417) = (101+29) + 417 -  associative property of addition.

3. (-14)+81 = 81 + (-14) - commutative property of addition.

4. -72 +0=-72 - additive identity.

5. 13/17•17/13=1 -multiplicative inverse.

<h3>What is a distributive property?</h3>

The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.

Hence, The Matchup are:

1. 1/3(24+15)=1/3•24+1/3•15 -  distributive property

2. 101+(29+417) = (101+29) + 417 -  associative property of addition.

3. (-14)+81 = 81 + (-14) - commutative property of addition.

4. -72 +0=-72 - additive identity.

5. 13/17•17/13=1 -multiplicative inverse.

Learn more about distributive property from

brainly.com/question/2807928

#SPJ1

6 0
2 years ago
What is the product of (3a + 2)(4a2 - 2a + 9)?
natka813 [3]

Answer:

12a³+2a²+23a+18

Step-by-step explanation:

(3a+2)(4a²-2a+9)=

12a³-6a²+27a+8a²-4a+18=

12a³+2a²+23a+18

If you need more explanation, reply to this answer.

4 0
3 years ago
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat
NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

    35x = -0.05(x² - 800x + 160000) + 9492

    35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

    35x = -0.05x² +40x - 8000 + 9492

    35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492}  }{2X0.05}   = \frac{5 +/- \sqrt{25 + 298.4}  }{0.1} =  \frac{5 +/- \sqrt{323.4}  }{0.1}\\=  \frac{5 +/- 17.983 }{0.1}\\=  \frac{5 - 17.983 }{0.1}  or  \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or  \frac{22.983 }{0.1}\\= -129.83 or 229.83

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0
3 years ago
Read 2 more answers
Simplify: 4b^5 + 10b^5
Veronika [31]

Answer:

14 b^5

Step-by-step explanation:

you can do all mathmatical operations to same variables with same power

3 0
3 years ago
Read 2 more answers
Find the square root of 196 with process.​
blsea [12.9K]

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

  • 2² × 7²

Prime factors of 196 in pairs:

  • (2 × 2) × (7 × 7)

Now square root of 196:

  • √196 = √(2 × 2) × (7 × 7)
  • √196 = √(2 × 7)²
  • √196 = (2 × 7)
  • = 14

Thus, The square root of 196 is 14

<u>-TheUnknownScientist</u><u> 72</u>

3 0
3 years ago
Read 2 more answers
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