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victus00 [196]
2 years ago
13

How does one go about completing this?

Mathematics
1 answer:
natali 33 [55]2 years ago
4 0

Answer:

  • 100°

Step-by-step explanation:

∠AEC ≅ ∠BED as vertically opposite angles

  • m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords

<u>Substitute values and solve for x:</u>

  • 4x = 1/2(120 + 2x)
  • 4x = 60 + x
  • 3x = 60
  • x = 20

<u>Find the measure of AEC:</u>

  • m∠AEC = 4*20 = 80°

<u>AED and AEC form a linear pair hence supplementary:</u>

  • m∠AED = 180° - m∠AEC<u> </u>

<u>Find the measure of ∠AED:</u>

  • m∠AED = 180° - 80° = 100°
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The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .
Misha Larkins [42]

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z = z-score,

x = Sample score,

\mu = Mean,

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z=\frac{21.97-22}{0.016}

z=\frac{-0.03}{0.016}

z=-0.1875

Let us find z-score of data point 22.03.

z=\frac{22.03-22}{0.016}

z=\frac{0.03}{0.016}

z=0.1875

Using probability formula P(a, we will get:

P(-0.1875

P(-0.1875  

P(-0.1875

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

6 0
3 years ago
Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.
hjlf
Given that o<span>ne Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of </span>"Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

<span>Roman has a date with Malou is True
</span>
<span>Jeff is sleeping is True
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<span>Hadji is eating is True

Thus, the truth value of "True" or "True" or "True" is True.

Therefore, the truth value of "</span><span>Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.



Part B:

</span>The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

<span>Jeff is sleeping is True
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<span>Hadji is not eating is False

Thus, the truth value of "True" or "False" is True.</span>

Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.



Part C:

The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

<span>Jeff is sleeping is True
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<span>Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

Thus, the truth value of ("True" and "True") or "False" is True.
</span>
Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
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3 years ago
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Answer:

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