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Ratling [72]
3 years ago
15

Solve each system by elimination

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

x = -3

y = -5

Step-by-step explanation:

1.-   y - 3x =4

2.-   y - x = -2

_________

1 - 2 = -2x = 6

2x = -6

x = -3

_________

going back to 1

y - 3(-3) = 4

y + 9 = 4

y = 4 - 9

y = -5

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Answer:

The lower bound for a 90% confidence interval is 0.2033.

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.

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In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

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So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

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\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

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3 years ago
Ignatz repeatedly rolls a fair $6$-sided die. What is the probability that he rolls his first $5$ before he rolls his second (no
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