Steps:
1) Draw the circle and mark the center (A) and the given point (B)
2) Draw a line that passes through the center (A) and the given poiint (B).
3) Draw a perpendicular line to the segment AB.
The last line drawn is tangent to the circle at the given point.
Answer:
20![\pi](https://tex.z-dn.net/?f=%5Cpi)
Step-by-step explanation:
Circumference formula: ![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
Since the diameter is 20, the radius will be half of the diameter
r=d/2, where d=20
r=20/2=10
C=![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
C=2(10)![\pi](https://tex.z-dn.net/?f=%5Cpi)
C=20![\pi](https://tex.z-dn.net/?f=%5Cpi)
Answer:
a) 0.226
b) 0.613
c) Part(a)
d) Unusual event
Step-by-step explanation:
We are given the following in the question:
x: 0 1 2 3 4 5 6 7 8
P(x): 0.000 0.003 0.016 0.054 0.121 0.193 0.226 0.193 0.121
x: 9 10 11 12
P(x): 0.054 0.016 0.003 0.000
a) Probability of exactly 6 Mexican-Americans among 12 jurors.
![P(x = 6) = 0.226](https://tex.z-dn.net/?f=P%28x%20%3D%206%29%20%3D%200.226)
Thus, 0.226 is the probability of exactly 6 Mexican-Americans among 12 jurors
b) Probability of 6 or fewer Mexican-Americans among 12 jurors
![P(x \leq 6) \\=P(x = 0) + P(x = 1) + P(x =2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)\\= 0.000+0.003+ 0.016 +0.054 +0.121+ 0.193+ 0.226\\=0.613](https://tex.z-dn.net/?f=P%28x%20%5Cleq%206%29%20%5C%5C%3DP%28x%20%3D%200%29%20%2B%20P%28x%20%3D%201%29%20%2B%20P%28x%20%3D2%29%20%2B%20P%28x%20%3D%203%29%20%2B%20P%28x%20%3D%204%29%20%2B%20P%28x%20%3D%205%29%20%2B%20P%28x%20%3D%206%29%5C%5C%3D%200.000%2B0.003%2B%200.016%20%2B0.054%20%2B0.121%2B%200.193%2B%200.226%5C%5C%3D0.613)
Thus, 0.613 is the probability that 6 or fewer Mexican-Americans among 12 jurors.
c) The result from part (a), because it measures the probability of exactly 6
successes.
d) Unusual event
An event is said to be unusual if the probability of event is less than 0.5.
Since
![P(x = 6) = 0.226 < 0.5](https://tex.z-dn.net/?f=P%28x%20%3D%206%29%20%3D%200.226%20%3C%200.5)
Thus, it is an unusual event as the probability is less than 0.5
Answer:
D. y=40x + 50
y=35x + 75
Step-by-step explanation:
x is per hr
it's 40 and 35 dollars per hr
Answer:
X=4
Step-by-step explanation:
7x+4y=28
7x+4(0)=28
7x=28
X=4