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Bad White [126]
3 years ago
13

Triangle DEF is a right triangle, and mD is 32. What is mF? A. 32 B. 45 C. 58 D. 68

Mathematics
2 answers:
drek231 [11]3 years ago
5 0

Answer:

C. 58

Step-by-step explanation:

Right angle = 90 degrees

90 + 32 = 122

180 - 122 = 58 degrees for m∠F

Maru [420]3 years ago
5 0
The correct answer is C
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  • The lower limit is 0.5.
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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.
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A similar problem is given at brainly.com/question/16807970

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sleet_krkn [62]

Answer:

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Step-by-step explanation:

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Then combine like terms

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18x              21

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Answer:

28.25

Step-by-step explanation:

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