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3 years ago

The line plots show the number of hours two different age groups of teenagers spent online the previous week.

1 answer:

4 0

The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21. 34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
$\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4$

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
$\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95$

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Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the populatio

Paladinen [302]

The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.

<h3>What will the maximum population be 5 year from now?</h3>

Formula of arithmetic progression is given by,

⇒ aₙ = a + (n - 1)d

where aₙ = nth term, a = first term, d = common difference

Here in the question it is given that,

Five years ago, the population of a city was 49,000

Each year the zoning commission permits an increase of 580 in the population

We have to find out the maximum population in 5 year from now.

By using the formula of arithmetic progression we get,

aₙ = a + (n - 1)d,

here in the question,

a = 49,000,

n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5 ⇒ n = 11g

d = 580

Now we get,

⇒ aₙ = a + (n - 1)d

⇒ aₙ = 49000 + (11 - 1)580

⇒ aₙ = 49000 + (10)580

⇒ aₙ = 49000 + 5800

⇒ aₙ = 54,800

Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.

Learn more about arithmetic progression here:

brainly.com/question/16954227

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8 0

1 year ago

How can you find and use absolute value? I can find absolute value by...

Tamiku [17]

Answer:

Step-by-step explanation: Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

5 0

3 years ago

50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP

Tresset [83]

Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

<em>4b ) 4 children</em>

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

<em>Solution; Difference ⇒ $ 63.24</em>

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

<em>Solution; 4 children</em>

7 0

3 years ago

1. Evaluate the expression:<br> 4 – 3s2 + (s + t) for t = -2 and s = 5

den301095 [7]

Answer:The Answer is -23

Step-by-step explanation:

7 0

3 years ago

30 POINTS FOR THE GENUIS WHO CAN ANSWER THIS!!

bearhunter [10]

Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh Use this equation to find the area of each triangular base

A = 1/2(8)(6) Multiply

A = 1/2(48) Multiply

A = 12cm² Area of each triangular base

2) A = L x W Use this equation to find the area of the bottom rectangular face

A = 20 x 8 Multiply

A = 160 cm² Area of the bottom rectangular face

3) A = L x W Use this equation to find the area of the back rectangular face

A = 20 x 6 Multiply

A = 120 cm² Area of the back rectangular face

4) A = L x W Use this equation to find the area of the sloped rectangular face

A = 20 x 10 Multiply

A = 200 cm² Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200 Add

A = 504 cm² Total area of the triangular prism

6 0

3 years ago