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Answer: Choice A. (-2,0)</h3>
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Work Shown:
The center is (h,k) = (3,2) and the radius is r = 5
The standard circle equation (x-h)^2 + (y-k)^2 = r^2 turns into (x-3)^2+(y-2)^2 = 5^2 or (x-3)^2+(y-2)^2 = 25
The idea is to plug in each (x,y) point that is shown in the answer choices. Then simplify to see if you get a true equation or not. If you get a true equation, then that point is on the circle.
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Choice A
Plug in (x,y) = (-2,0)
(x-3)^2+(y-2)^2 = 25
(-2-3)^2+(0-2)^2 = 25
(-5)^2 + (-2)^2 = 25
25 + 4 = 25
29 = 25
We get a false equation, so we can stop here since we found the answer.
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I'll try out choice B to see if we get a true equation here or not.
(x-3)^2+(y-2)^2 = 25
(6-3)^2+(-2-2)^2 = 25 ... plug in (x,y) = (6,-2)
(3)^2 + (-4)^2 = 25
9 + 16 = 25
25 = 25
We get a true equation, so the point (6,-2) is on the circle. This means we can rule out choice B.
I'll let you try out the other two points. They should be on the circle, so you should get true equations after plugging in the coordinates. If you're still stuck, then let me know.
Answer: the probability that exactly 2 buyers would prefer red is 0.0320
Step-by-step explanation:
We would assume a binomial distribution for the color preferences of new car buyers. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 40% = 40/100 = 0.4
q = 1 - p = 1 - 0.4
q = 0.6
n = 14
x = r = 2
Therefore,
P(x = 2) = 14C2 × 0.4^2 × 0.6^(14 - 2)
P(x = 2) = 91 × 0.16 × 0.0022
P(x = 2) = 0.0320
If Rhonda has 140 points, you would want to subtract 30 from her score to get 110 and then divide by two to get mark’s score. Your final answer would be 55
Answer:
X=15
Step-by-step explanation: