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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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A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of
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Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

To learn more about Hypothesis testing, refer:

brainly.com/question/4232174

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