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Fittoniya [83]
3 years ago
14

Two lines intersect in a plane in form for angles what are the angles formed fathers intersect is a 53° angle what are the measu

res of the other three angles explain your answer
Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

53°, 127°, 127°

Step-by-step explanation:

<u>Two intersecting lines form two pairs of angles:</u>

  • Pair of vertical angles. They are opposite to each other and are equal
  • Pair of adjacent angles which are supplementary angles and their sum is  180°

<u>So if one of the angles is measured 53°, then the other angles are:</u>

  • 53°- vertical angle with the first one
  • 180° - 53° = 127°
  • 180° - 53° = 127°
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Answer:

99% confidence interval for the population​ mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population​ mean is given by;

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where, \bar X = sample mean age of selected students = 22.4 years

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P(-2.878 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.878) = 0.99

P( -2.878 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.878 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X -2.878 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.878 \times {\frac{s}{\sqrt{n} } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X -2.878 \times {\frac{s}{\sqrt{n} } , \bar X +2.878 \times {\frac{s}{\sqrt{n} } ]

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Therefore, 99% confidence interval for the population​ mean is [19.891 , 24.909].

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3 years ago
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