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Alexxandr [17]
3 years ago
11

PLEASE HELP! WILL MARK BRAINLIEST! 15 POINTS! The median of the list n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19 is 20.

What is the mean?
Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

21

Step-by-step explanation:

n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19

The median is the middle number

There are 10 numbers so the middle is between the 5th and 6th number

n, n + 2, n+3, n+5, n+7,       n+8, n+11, n+14, n+16, n+19

We average those two numbers

(n+7  + n+8)/2 = 20

(2n+15)  / 2 = 20

Multiply by 2

2n+15 = 40

Subtract 15

2n = 25

Divide by 2

n = 25/2

n = 12.5

We want to find the mean, which is add up all the numbers and divide by the number of numbers

(n+ n + 2+ n+3+ n+5+ n+7+ n+8+ n+11+ n+14+ n+16+ n+19)/10

(10n+85)/ 10

n+ 8.5

12.5 + 8.5 = 21

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Answer: m= -1/8

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6 0
2 years ago
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0
1 year ago
Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin
Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}

Multiply both the sides by x.

\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}

Again multiply both the sides by x

2x^{2} -2x-12 = 5x^{2} +18x

\implies 5x^{2} -2x^{2} +18x +2x +12 = 0

\implies 3x^{2} + 18x+2x + 12 = 0

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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