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Otrada [13]
3 years ago
15

Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the soluti

on to the system of equations and explains why?
Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Solution: (2,8)

Using the elimination method set up the system of equations like:

y = x + 6

y = 3x + 2

Eliminate the x-variable by multiplying the top equation by -3

-3y = -3x -18

y = 3x + 2

Combine terms:

-2y = -16

-y = -8

y = 8

Plug in 8 to one of the first equations for y

8 = 3x + 2

6 = 3x

x = 2

Solution: (2,8)

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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

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The upper limit of this interval is:

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The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
Melania has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. her office job pay
bulgar [2K]
Lets x = # of hours Melania  works at <span>office clerk
and y = </span># of hours Melania  works as a <span>cashier

x + y = 38 so x = 38 - y
13x + 9.25y = 434

substitute </span> x = 38 - y into 13x + 9.25y = 434

13x + 9.25y = 434
13(38 - y) + 9.25y = 434
494 - 13y + 9.25y = 434
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                          y = 16
x = 38 - y so x = 38 - 16 = 22

answer
Melania  works at office clerk = 22 hours
Melania  works as a cashier = 16 hours
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