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Vesna [10]
3 years ago
7

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t.
x ²+ 4x + y ²− 6y = −4
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
Get into form
(x-h)²+(y-k)²=r²
center is (h,k) and radius is r

complete the square for each
(x²+4x)+(y²-6y)=-4
take 1/2 of each linear coefienet and square it
4/2=2, 2²=4
-6/2=-3, (-3)²=9
add that to both sides
(x²+4x)+4+(y²-6y)+9=-4+4+9
(x²+4x+4)+(y²-6y+9)=9
complete the squares
(x+2)²+(y-3)²=3²
(x-(-2))²+(y-3)²=3²

the center is (-2,3) and radius is 3
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ABC stock sold for $64.50 four days later the same stock sold for $47.10 what is the average change per day?
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g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate
bixtya [17]

Answer:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=25, p=0.85)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

7 0
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100 POINTS!!! PLEASE SHOW YOUR WORK. I WANT TO UNDERSTAND IT
Paraphin [41]

Answer:

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