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kakasveta [241]
3 years ago
10

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Substitution involves plugging the given values of the variables and the

parenthesis is a sign for multiplication (multiplied by).

<h3>The correct responses are as follows;</h3><h3 />
  • 7. 2·(x + 4) + 10 = <u>28</u>

  • 8. 3·(4·x) + 4 =<u> 64</u>

  • 9. 10·(x·y) = <u>300</u>

  • 10. 2·(x + y) = <u>22</u>

  • 11. 3·r × s + 4·x = <u>38</u>
  • 12. 2×q + 2×x + 2×t =  <u>20</u>

  • 13. 6×3×t + 6×4×s = <u>144</u>

  • 14. 10×(10×x) + 10×y = <u>560</u>

  • 15. x·x·y = <u>150</u>

  • 16. r·s·t = <u>24</u>

  • 17. r·s·t·x·y = <u>720</u>

  • 18. 6·(2·x + 3·y) = <u>168</u>

<h3>Methods by which the above responses are arrived at:</h3>

Given; q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

7. 2·(x + 4) + 10, by substituting x = 5, we have;

  • 2·(x + 4) + 10 = 2 × (5 + 4) + 10 = <u>28</u>

8. 3·(4·x) + 4

Substituting x = 5 gives;

  • 3·(4 × 5) + 4 = <u>64</u>

9. 10·(x·y)

Substituting x = 5, and y = 6 gives;

  • 10·(x·y) = 10 × (5 × 6) = <u>300</u>

10. 2·(x + y)

Substituting x = 5, and y = 6 gives;

  • 2·(x + y) = 2 × (5 + 6) =<u> 22</u>

11. 3·r·s + 4·x

Substituting r = 2, and s = 3, and x = 5, gives;

  • 3·r·s + 4·x = 3 × (2 × 3) + 4×(5) = <u>38</u>

12. 2·q + 2·x + 2×t  

Where, q = 1, x = 5, and t = 4, we get;

  • 2·q + 2·x + 2·t = 2 × 1 + 2 × (5 + 4) = <u>20</u>

13. 6·3·t + 6·4·s

Plugging in t = 4, and s = 3, we get;

  • 6·3·t + 6·4·s = 6 × (3×4 + 4×3) = <u>144</u>

14. 10·(10·x) + 10·y

x = 5, y = 6

  • 10·(10·x) + 10·y = 10 × (10×5) + 10 × 6 = <u>560</u>

15. x·x·y

x = 5, y = 6

Therefore;

  • x·x·y = 5 × (5 × 6) = <u>150</u>

16. r·s·t

r = 2, s = 3, t = 4

Therefore;

  • r·s·t = 2 × (3) × (4) = <u>24</u>

17. r·s·t·x·y

r = 2, s = 3, t = 4, x = 5, and y = 6

  • r·s·t·x·y = 2 × 3 × 4 × 5 × 6 = <u>720</u>

18. 6·(2·x + 3·y)

x = 5, y = 6

  • 6·(2·x + 3·y) = 6 × (2 × 5 + 3 × 6) =<u> 168</u>

<u />

<u />

<h3>Formatted Responses to the Questions;</h3>

Please find attached a representation of the above responses in the question format

Learn more about substitution property here:

brainly.com/question/11388301

brainly.com/question/11452422

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We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

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The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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