Solution :
Given the Joint Probability distribution is :
Y|X 0 1 2 3 P(y)
0 k 0.03 0.03 0.03 k+0.09
1 0.01 0.02 0.04 0.04 0.11
2 0.01 0.01 0.05 0.72 0.79
P(x) k+0.02 0.06 0.12 0.79 k+0.99
Since we know,
⇒ k + 0.99 = 1
⇒ k = 1 - 0.99
⇒ k = 0.01
Therefore, the value of k is 0.01
Answer:
You would need 23 inches to build it
<h3>First expression:</h3>
Factor 44 out of 44r+352.
44(r+8)
<h3>
Second expression:</h3>
Factor −16 out of 448−16b+112c.
−16(b−7c−28)
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Answer:
Step-by-step explanation:
Please refer to the image attached.
Here we have a circle with unit radius. At some angle Ф the radius = 1 , and it is the hypotenuse (shown by green line in the image attached) of the ΔPQR thus formed. As our angle Ф increases, the hypotenuse gets closer to the positive y axis and at 90°, it overlap the y axis. Hypotenuse (H) and Opposite site (O) becomes same and Adjacent (A) becomes 0.
As our angle move further and reaches 180, the Hypotenuse and adjacent becomes same and overlap negative x axis. As we move further at 270 i.e , the hypotenuse and opposite side overlap on y axis and Adjacent side become 0. However the opposite side becomes negative here .
Our sine ratio says
Hence we have our
Now
Adjacent as we discussed is 0 at
Answer:Point Form:
(2,0)
Equation Form:
x=2,y=0
Step-by-step explanation:Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.