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3 years ago

5x + 2y = -5 X + 3y = 1

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Answer:

(-17/13, 10/13)

Step-by-step explanation:

Next time, please include more info regarding what you're supposed to do. I will assume that the instructions said "solve this system of linear equations using elimination by addition and subtraction."

Multiply all three terms of the second equation by -5. Then the system looks like:

5x + 2y = -5

-5X + -15y = -5

Next, combine these two equations:

5x + 2y = -5

-5X + -15y = -5

----------------------

-13y = -10

Dividing both sides by -13 yields y = 10/13.

Substituing 10/13 for y in the second equation, we get:

x + 3(10/13) = 1

Multiplying all three terms by 13 eliminates fractions:

13x + 30 = 13, or 13x = -17. Then x = -17/13, and the solution is

(-17/13, 10/13)

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Step-by-step explanation:

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Complete Question

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Find their respective z-scores.

Who had the more convincing victory?

A. Roger had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The mean of the current year is $\mu_c = 186.32 \ minutes$

The standard deviation is $\sigma_c = 0.305 \ minutes$

The time taken by the winning car for the current year is $x = 185.85 \ minutes$

The mean of the previous year is $\mu_p = 110.7 \ minutes$

The standard deviation the previous year is $\sigma_p = 0.115 \ minutes$

The time taken by the winning car for the previous year is $y = 110.48 \ minutes$

Generally the z-score for current year is mathematically evaluated as

$z_c = \frac{x- \mu_c}{\sigma_c }$

=> $z_c = \frac{ 185.85- 186.32}{0.305 }$

=> $z_c = -1.536$

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$z_p = \frac{y- \mu_p}{\sigma_p }$

=> $z_p = \frac{ 110.48-110.7}{0.115 }$

=> $z_p = -1.913$

From the value obtained we see that $z_p < z_c$ , Hence Karen had a more convincing victory because of the lower z -score.

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Answer:

Step-by-step explanation:

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