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3 years ago

The table shows the prices of 8 different treadmills at a sporting goods

Mathematics

1 answer:

irakobra [83]3 years ago

6 0

Answer:

mean: $837.50; median: $810; mode: $810; range: $645

Step-by-step explanation:

Discounted prices are given as:

$640, $810, $755, $810, $1175, $900, $1080, $530

a. Mean = Sum of the Number of Term ÷ Total number of Terms

Total number of term = 8

Mean = ($640 + $810 + $755 + $810 + $1175 + $900 + $1080 + $530) ÷ 8

Mean = $837.50

b) Median.

$640, $810, $755, $810, $1175, $900, $1080, $530

The first step is to rearrange the discounted prices =

$530, $640, $755, $810, $810, $900, $1080, $1175

Second step is to find the number in the middle

$530, $640, $755, )$810, $810, ($900, $1080, $1175

= ($810 + $810) ÷ 2

= $1920 ÷ 2

= $810

Median = $810

c) Mode

This is calculated as the prices that occurs the most or more than once amongst the Discounted prices.

Discounted prices = $530, $640, $755, $810, $810, $900, $1080, $1175

Price that occurs more than once = $810.

Mode = $810

d. Range

This is calculate as the Highest Discounted price - Lowest Discounted price.

Highest Discounted price = $1175

Lowest Discounted price =$530

Range = $1175 - $530

= $645

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The correct answer is:    [A]: " x + 2y = -11 " .
________________________________________________
Explanation:
_________________________________________________
First, we narrow down to choices:

         [A]: "x + 2y = -11 ; and: [D]: "2x + y = -10 " ;

since these are the only answer choices that the point "(-3, -4) pass through.

Now, write these in "slope-intercept form" (a.k.a. "point-slope form"); that is:

y = mx + b ;

and see which one has the slope of "(-1/2)" (i.e. "m = -1/2") ;
_____________________________________________________
Start with Answer choice [A]: "x + 2y = -11 " ;

                                               ↔ 2y + x = -11 ;

                                            Subtract "x" from each side:
                                                    2y + x − x = -11 − x ;

                                            to get: 2y = -11 − x ;

                                               ↔   2y = -11 + (-x) ;

                                               ↔   2y = -x + (-11) ;

                                               ↔   2y = -1x − 11 ;
______________________________________________
Divide EACH SIDE of the equation by "2" ;
______________________________________________
                                            2y / 2 = (-1x − 11) / 2 ;

                                           to get:   y = (-1/2)x − (11/2).

So: Answer choice: [A]: should be the correct answer .
______________________________________________
Let us try Answer choice: [D] ; just to rule out this possible answer:

                                                   " 2x + y = -10 " ;

                                               ↔ y + 2x = -10 ;

                                    Subtract "2x" from EACH SIDE of the equation ;

                                                    y + 2x − 2x = -10 − 2x ;

                                                               y = -10 − 2x ;

                                                         ↔ y = -10 + (-2x) ;

                                                         ↔ y = -2x + (-10) ;

                                                         ↔ y = -2x − 10 ;

                         The slope of: Answer choice [D]: is "-2" ; NOT "(-1/2)".

So; we confirm that: Answer choice: [D]: is INCORRECT.
_________________________________________________________
So the correct answer is: Answer choice: [A]: " x + 2y = -11 " .
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