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Lostsunrise [7]
3 years ago
11

2x − 5y = 16 3x + 2y = 5 can you also explain how you did it. Thanks :)

Mathematics
2 answers:
Reptile [31]3 years ago
6 0

Answer:

x=3

y=-2

Step-by-step explanation:

2x - 5y = 16

3x + 2y = 5

Solve for x in the first equation.

2x - 5y = 16

2x = 16 + 5y

x = (16 + 5y)/2

x = 8 + 5/2y

Put x as 8 + 5/2y in the second equation and solve for y.

3(8+5/2y) + 2y = 5

24+15/2y + 2y = 5

24 + 19/2y = 5

19/2y = 5-24

19/2y = -19

y = -2

Put y as -2 in the first equation and solve for x.

2x - 5(-2) = 16

2x +10 = 16

2x = 16-10

2x = 6

x = 3

earnstyle [38]3 years ago
3 0

Answer:

Step-by-step explanation:

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Answer:

Please see below :)

Step-by-step explanation:

Integers - Whole numbers (no fractions or decimals!)

11 to 111

12, 14, 16, 18, 20

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42, 44, 46, 48, 50

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6 0
3 years ago
A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. D
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Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

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s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

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Answer:

B. The width of the confidence interval would be smaller.

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By reducing the confidence level from 99% to 95%, the student assumes that there is more uncertainty about the new confidence interval than the previous one. That, being said, since the results aren't as certain, the confidence interval is widened towards a central average point because the new interval isn't as accurate.

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