(05.05)Polygon ABCD has the following vertices: A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4) Calculate the area of the polygon.
1 answer:
The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
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Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean weight = 27.5 grams
= standard deviation = 1.1 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> = =
= <u>1.7</u>