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timofeeve [1]
2 years ago
8

Mark which expressions are equivalent to 8 –2(5x –3). Explain or show work to justify your decision.

Mathematics
1 answer:
pickupchik [31]2 years ago
5 0

Answer:

Explanation:                                      Equivalent:

6 x 5x, 6 x -3                                        30x - 18

Combine like terms,  (8 + 6) (10x)       10x - 14

8 - (-6) (10x)                                           10x - 14      

8 -(-6) (-10x)                                          -10x - 14      

(2 x -5x = -10x) (2 x 7 = 14)                    2(-5x + 7)                                          

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Step-by-step explanation:

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3 years ago
The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
Free_Kalibri [48]

Answer:

1191.4 ; 34.5

Step-by-step explanation:

Given the data:

29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

The sample variance and standard deviation can be obtained thus :

Σ(X - m)² / (n - 1)

Where, m = mean of the sample

n = sample size

The standard deviation equals, sqrt(variance )

Using a calculator:

The variance, σ² ;

Mean = Σx / n = 1681 / 20 = 84.05

(x -m)^2

[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19

22636.95 / 19

= 1191.4184 = 1191.42

Standard deviation = sqrt( Variance)

Standard deviation = sqrt(1191.4184)

Standard deviation = 34.516929 = 34.52

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3 years ago
How do you write 4/5 as a percentage?<br><br><br> lol i know this is simple but im so... help
adoni [48]

Answer:

85%

Step-by-step explanation:

6 0
3 years ago
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