Given that the two angles are congruent, the numerical value of x is 12.
<h3>What is the numerical value of x?</h3>
Given the figure in the image.
Note that; corresponding angles are congruent if the transversal intersects two parallel lines
Hence,
( 8x - 4 ) = 92
We solve for x
8x - 4 = 92
8x = 92 + 4
8x = 96
x = 96/8
x = 12
Given that the two angles are congruent, the numerical value of x is 12.
Learn more about corresponding angles here: brainly.com/question/12521848
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The GCF for 45 and 60 is 15
Let X be the number of lightning strikes in a year at the top of particular mountain.
X follows Poisson distribution with mean μ = 3.8
We have to find here the probability that in randomly selected year the number of lightning strikes is 0
The Poisson probability is given by,
P(X=k) = ![\frac{e^{-mean} mean^{x}}{x!}](https://tex.z-dn.net/?f=%20%5Cfrac%7Be%5E%7B-mean%7D%20mean%5E%7Bx%7D%7D%7Bx%21%7D%20%20%20%20)
Here we have X=0, mean =3.8
Hence probability that X=0 is given by
P(X=0) = ![\frac{e^{-3.8} 3.8^{0}}{0!}](https://tex.z-dn.net/?f=%20%5Cfrac%7Be%5E%7B-3.8%7D%203.8%5E%7B0%7D%7D%7B0%21%7D%20%20%20%20)
P(X=0) = ![\frac{0.02237 * 1}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.02237%20%2A%201%7D%7B1%7D%20%20)
P(X=0) = 0.0224
The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224
To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear
the second vendor: $4.32/12 = $0.36/ear
The first vendor with the bag of 8 ears is the better deal!