algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in p
icture
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Answer:
AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49 meters
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <u><em>this must be a concave pentagon.</em></u>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: c² = 110² + 50² c=√14600 AE = 120.830 m
DE: c² = 100² + 110² c = √22100 DE = 148.661 m
Add those lengths and the remaining sides of the 140m × 150m rectangle to calculate the perimeter.
280+150+120.83+148.66= 699.49
Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
<h3>What is the Poisson distribution?</h3>In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
Item a:
10 hours, 2 calls per hour, hence the mean is given by:
.
The probability is P(X = 20), hence:
Item b:
1 hour, hence the mean is given by:
The probability is P(X = 0), hence:
Item c:
The probability is:
More can be learned about the Poisson distribution at brainly.com/question/13971530
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