I can't figure out this one please help!!
1 answer:
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<h3>☀️ <u>Solution</u><u>:</u></h3>
Supplementary angles are those angles which add upto 180°. They may or may not be linear pair.
We have,
- Two consecutive odd angles.
- They are supplementary
Let,
- One of the angles be x
- Then, other angle will be x + 2°
Then,
➝ x + x + 2° = 180°
➝ 2x + 2° = 180°
➝ 2x = 178°
➝ x = 89°
Other angle = x + 2° = 91°
Answer - 89° and 91°
⚘ Hence, solved !!
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The probability that a randomly selected x-value from the distribution will be in the interval:
- P(35 < x < 45) = 0.6827 and,
- P(30 < x < 40) = 0.47725
The probability of a normal distribution can be determined from the symmetrical curve between 1 to 100%.
From the information given:
- Mean = 40
- Standard deviation = 5
To determine the probability that a randomly selected x-value is in the given interval:
- P(35<x<45)
- P(30<x<40)
Using normal distribution table:
P(35 < x < 45) = 0.8414 - 0.1587
P(35 < x < 45) = 0.6827
Using normal distribution table:
P(30 < x < 40) = 0.5 - 0.02275
P(30 < x < 40) = 0.47725
Learn more about the probability of a normal distribution here:
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