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notsponge [240]
3 years ago
5

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 6 seconds, he is 2430 meters from her. Then at 12

seconds he is 2160 meters from her.
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

2700.

Step-by-step explanation:

The total distance would be 2700.

Distance traveled between in 6th second and 12th second is 2430-2160=270 meter. That means Superman covered 270 meter in 6 seconds.

So, now if he is moving at the same speed, he should cover the same distance in first 6 seconds which is 270 meter.

Suppose the whole distance is X when time is 0, and after flying for 6 seconds he now is 2430 meter away. It means that he must have covered the distance of X-2430=270.

Finding for X, we gets the full initial distance, when time was 0.

The simple trick is, once we get the distance he has covered in 6 seconds, we can form the equation like subtracting the whole distance- remaining distance equals to covered distance.

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Answer:

The 90% confidence interval for pis (0.7342, 0.8658).

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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For this problem, we have that:

100 rats mothers, 80 went right. So n = 100, \pi = \frac{80}{100} = 0.8

90% confidence level

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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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.8658

The 90% confidence interval for pis (0.7342, 0.8658).

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