5x>/ 45
at least means it can be 45 and up
So it becomes greater than or equal to
Answer:
mMKL = 115°
Step-by-step explanation:
Using the property of intersecting chords in a circle, we have that one angle in the intersecting point is the average of the arcs intercepted by the angle and its vertical angle.
So, to find the measure of the angle MKL, we have:
mMKL = (1/2) * (mML + mNU)
mMKL = (1/2) * (155 + 75)
mMKL = (1/2) * (230)
mMKL = 115°
The equation of the line through (0, 1) and (<em>c</em>, 0) is
<em>y</em> - 0 = (0 - 1)/(<em>c</em> - 0) (<em>x</em> - <em>c</em>) ==> <em>y</em> = 1 - <em>x</em>/<em>c</em>
Let <em>L</em> denote the given lamina,
<em>L</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ <em>c</em> and 0 ≤ <em>y</em> ≤ 1 - <em>x</em>/<em>c</em>}
Then the center of mass of <em>L</em> is the point with coordinates given by
where is the first moment of <em>L</em> about the <em>x</em>-axis, is the first moment about the <em>y</em>-axis, and <em>m</em> is the mass of <em>L</em>. We only care about the <em>y</em>-coordinate, of course.
Let <em>ρ</em> be the mass density of <em>L</em>. Then <em>L</em> has a mass of
Now we compute the first moment about the <em>y</em>-axis:
Then
but this clearly isn't independent of <em>c</em> ...
Maybe the <em>x</em>-coordinate was intended? Because we would have had
and we get
So we have v(w) = 2w - 1
Now we make the following change: w ---> w +3.
So we change every "w" into a "w+3" as follows:
v(w) = 2w - 1 --------> v(w+3) = 2*(w+3) - 1
Let's solve this.
2*(w+3) - 1
2*w + 2*3 - 1
2w + 6 - 1
2w + 5
So
v(w+3) = 2w + 5
Answer:
(a) The value of P (X = 2) is 0.3571.
(b) The value of P (X ≤ 1) is 0.5952.
Step-by-step explanation:
A Hypergeometric distribution is used to describe the probability distribution of <em>x</em> successes in <em>n</em> random draws from a population of size <em>N </em>that contains exactly <em>r</em> items that are considered as success. In this distribution each draw results in either a success or a failure.
The probability mass function of Hypergeometric distribution is:
Given:
N = 9
r = 3
n = 4
(a)
Compute the value of P (X = 2) as follows:
Thus, the value of P (X = 2) is 0.3571.
(b)
Compute the value of P (X ≤ 1) as follows:
P (X ≤ 1) = P (X = 0) + P (X = 1)
Thus, the value of P (X ≤ 1) is 0.5952.