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77julia77 [94]
2 years ago
10

X2+ y2 - 8x - 12y + 27 = 0 Center: Radius:

Mathematics
2 answers:
Rainbow [258]2 years ago
8 0

Answer:

Give George brainliest!

Step-by-step explanation:

Serhud [2]2 years ago
3 0

Answer:

Step-by-step explanation:

You have:

x^2+y^2-8x+27=0

Since the variable 'x' appears twice, I am going to choose to group together the terms as to create a 2nd degree trinomial:

(x^2-8x+27)+y^2=0

This allows us to complete the square and factor the trinomial:

(x^2-8x+16-16+27)+y^2=0

(x^2-8x+16)+11+y^2=0

(x-4)^2+y^2+11=0

(x-4)^2+(y-0)^2=-11

This is not a valid circle equation in the real plane. It has a complex radius of:

r=i\sqrt{11}

And is centered at the point:

(4,0)

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Andre drives a bike for 4 hours covering 160 km. Find the distance covered by him in 7 hours.
swat32

Answer:

I think is 280km :))))))

4 0
3 years ago
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Zachary has been trying to work on an essay for almost three hours, but he can't seem to focus for more than 15 or 20 minutes at
malfutka [58]
He should take breaks every 15 minutes and he should also eat a healthy snack and drink lots of water
4 0
3 years ago
The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X
nasty-shy [4]

Answer:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:

X \sim N(21.37,0.4)  

Where \mu=21.37 and \sigma=0.4

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We can find the probability required with the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}


And replacing we got:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

6 0
3 years ago
What is the range of this data set? {14, 25, 61, 18, 30, 32, 28, 45, 21} 47 28 7 I don't know.
kati45 [8]

The range of the dataset = 47

What is the range of a dataset?

The range of a set of data is the difference between the greatest number and least number

The given data set is:

{14, 25, 61, 18, 30, 32, 28, 45, 21}

The greatest number = 61

The least number = 14

The range of the dataset = Greatest Number - Least Number

The range of the dataset = 61  -  14

The range of the dataset = 47

Learn more on range of a distribution here: brainly.com/question/4679134

3 0
2 years ago
Read 2 more answers
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
velikii [3]
Check the picture below.

so, the maximum height is reached at the parabola's vertex, where x = how many seconds it took, y = how hight it went.

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
h = &{{ -16}}t^2&{{ +36}}t&{{ +10}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

\bf \left(-\cfrac{36^2}{2(-16)}~~,~~10-\cfrac{36^2}{4(-16)}  \right)\implies \left( \cfrac{1296}{32}~~,~~10+\cfrac{81}{4} \right)
\\\\\\
\left( \cfrac{81}{2}~~,~~\cfrac{121}{4} \right)\implies \left(\stackrel{\textit{how many seconds}}{40\frac{1}{2}}~~,~~\stackrel{\textit{how many feet up}}{30\frac{1}{4}}  \right)

5 0
3 years ago
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