40/16 = 24/x
16*24 = 384
x = 384 / 40
x =9.6
it cast a shadow 9.6 feet long
X1, y1 = (-5,-3)
x2, y2 = (-5, -6)
distance =√[(x2-x1)^2 + (y2-y1)^2]
=√[(-5 + (-5))^2 + (-6+(-3))^2]
= √(100+81)
=
Check the picture below.
as you recall from the previous exercise, x = 74°, now, using the "inscribed angle theorem" as you saw already, the green intercepted arc is 160°, so y = 160° - 74°.
as far as ∡z, well, we can just use the "inscribed quadrilateral conjecture".
For this case we have the following line:
x = 4
The first thing you should know is that the slope of the line is given by:
m = (y2-y1) / (x2-x1)
In this case:
x2 = x1
Thus,
The slope is:
m = (y2-y1) / (0)
m = infinity
Answer:
The slope of the line is:
m = infinity
The expected value be 2.37 for the given data.
<h3>What is expected value?</h3>
The expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.
E ( X ) = μ = ∑ x P ( x )
= 1(0.21)+2(0.38)+3(0.27)+4(0.11)+5(0.03)
= 2.37
Hence the expected value be 2.37 for the given data.
Learn more about expected value here:
brainly.com/question/13945225
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