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mojhsa [17]
2 years ago
12

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? P(8, 4)

Mathematics
1 answer:
Elodia [21]2 years ago
8 0
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2  and d^2=r^2=81 so

81=10^2+1^2

81=101  which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.  

Thus the point lies outside or on the exterior of the circle...
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5 0
3 years ago
HELP ME ASAP PLEASE!!!!
Wewaii [24]
-(1/2)p<-16

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6 0
3 years ago
Suppose that a recent poll found that 49​% of adults believe that the overall state of moral values is poor. Complete parts​ (a)
Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 250, p = 0.49

So

E(X) = np = 250*0.49 = 122.5

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9

The mean of X is 122.5 and the standard deviation is 7.9.

3 0
3 years ago
Please help i put pic of question
zzz [600]

Answer: [ -8, -5] or [1, 4]

Step-by-step explanation:

Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!

4 0
2 years ago
2xsquare+12x+19<br> Find the minimum value of f (x)
Arturiano [62]
Converting to vertex form is one way of doing this
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= 2(x + 3)^2 + 1

the minimum value is 1
5 0
3 years ago
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