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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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Answer:

The probability of event <em>A</em> is \frac{7}{11}.

The probability of event <em>B</em> is \frac{6}{11}.

Step-by-step explanation:

The sample space of rolling a fair six-sided dice is as follows:

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

      (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

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      (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

      (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

      (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Now consider the experiment of the computing the sum of the two rolls as follows:

X = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Number of total outcomes, <em>N</em> = 11.

The probability of an event <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The event <em>A</em> is defined as the sum is greater than 5.

The sample space of <em>A</em> is:

A = {6, 7, 8, 9, 10, 11, 12}

n (A) = 7

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}=\frac{7}{11}

Thus, the probability of event <em>A</em> is \frac{7}{11}.

The event <em>B</em> is defined as the sum is an even number.

The sample space of <em>B</em> is:

B = {2, 4, 6, 8, 10, 12}

n (B) = 6

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}=\frac{6}{11}

Thus, the probability of event <em>B</em> is \frac{6}{11}.

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"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is

D= 510 km. Option B. This is further explained below.

<h3>What is Kepler Orbit?</h3>

Generally, In the study of astrodynamics, an ellipse of the satellite is often referred to as a Kepler Orbit

The function of the elliptical orbit is

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the p-value for the unstandardized coefficient, R-square, Beta (i.e. standardized regression coefficient) using Excel with this given data?

Overall: 3.4, 2.9, 2.6, 3.8, 3.0, 2.5, 3.9, 4.3, 3.8, 3.4, 2.8, 2.9, 4.1, 2.7, 3.9, 4.1, 4.2, 3.1, 4.1, 3.6, 4.3, 4.0, 2.1, 3.8, 2.7, 4.4, 3.1, 3.6, 3.9, 2.9, 3.7, 2.8, 3.3, 3.7, 4.2, 2.9, 3.9, 3.5, 3.8, 4.0, 3.1, 4.2, 2.9, 3.9, 3.5, 3.8, 4.0, 3.1, 4.2, 3.0, 4.8, 3.0, 4.4, 4.4, 3.4, 4.0, 3.5

Teach: 3.8, 2.8, 2.2, 3.5, 3.2, 2.7, 4.1, 4.2, 3.7, 3.7, 3.3, 3.3, 4.1, 3.1, 2.9, 4.5, 4.3, 3.7, 4.2, 4.0, 3.7, 4.0 2.9, 4.0, 3.3, 4.4, 3.4, 3.8, 3.7, 3.1, 3.8, 3.2, 3.5, 3.8, 4.4, 3.7, 4.00, 3.4, 3.2, 3.8, 3.7, 4.3, 3.4, 4.0 3.1, 4.5, 4.8, 3.4, 4.2, 3.4

Exam: 3.8, 3.2, 1.9, 3.5, 2.8, 3.8, 3.8, 4.1, 3.6, 3.6, 3.5, 3.3, 3.6, 3.8, 3.8, 4.2, 4.1, 4.0, 4.3, 4.2, 4.0, 4.1, 2.7, 4.4, 4.4, 4.3, 3.6, 4.1, 4.2, 3.6, 4.4, 3.4, 3.2, 3.7, 4.3, 4.1, 3.7, 4.0, 3.6, 4.0, 3.7, 4.2, 4.2, 4.1, 3.2, 4.5, 4.3, 3.6, 4.00, 3.9

Knowledge: 4.5, 3.8, 3.9, 4.1, 3.5, 4.2, 4.5, 4.7, 4.1, 4.1, 3.9, 3.9, 4.0, 4.1, 4.5, 4.5, 4.5, 4.5, 4.7, 4.0, 4.5, 4.6, 3.7, 4.1, 3.6, 4.4, 3.3, 3.8, 4.2, 3.8, 4.0, 3.1, 4.4, 4.3, 5.00 4.2, 4.5, 4.5, 4.7, 4.3, 4.00, 4.2, 3.8, 4.9, 3.7, 4.6, 4.3, 3.5, 4.4, 4.4

Grade: 3.5, 3.2, 2.8, 3.3,

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