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siniylev [52]
3 years ago
6

True or false? A theorem is a statement that can be easily proved using a

Mathematics
1 answer:
dedylja [7]3 years ago
6 0
???why did you say the question and then answer it
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Michael boards an elevator at the 23rd floor. She travels up 14 floors, and then down 7 floors.
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Michael will end up on the 30th floor.
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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

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

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

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
2 years ago
The long side of a box is 6 inches. That is 3 times the length of the short side. How long is the short side? PLEASE HELP NEED A
Montano1993 [528]

Answer:

2 inches

Step-by-step explanation:

If the long side is 6 inches and it's 3x the length of the short side, then you need to divide the long side into 3 parts because the short side is 1/3 the length of the long side. This means that the short side is 2 inches.

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3 years ago
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It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth
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Answer:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

Step-by-step explanation:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

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2 years ago
PLEASE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU (will mark brainlest)
lions [1.4K]

Answer:

113.0973355

Step-by-step explanation:

using this formula: 2 π r^2 + 2 π r h

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