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sleet_krkn [62]
3 years ago
9

What is the radius of the circle whose equation is x2 + y2 = 8? 2 4 64

Mathematics
2 answers:
Naily [24]3 years ago
8 0

Answer:

The equation of circle of radius r whose centre is the origin (0, 0) ,

It is given by:    x^2+y^2 =r^2                    ......[1]

Given the equation: x^2+y^2 =8

To find the radius of the circle;

Compare the given equation with [1] we have;

r^2 = 8

Taking square root both sides we get;

r = \sqrt{8} = 2\sqrt{2} units

Therefore, the radius of the circle is, 2\sqrt{2} units

umka2103 [35]3 years ago
6 0
It would be
\sqrt{8}
Or
2\sqrt{2}
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Construct a​ 99% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A group of 1
Zarrin [17]

Answer:

99% confidence interval for the population​ mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population​ mean is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean age of selected students = 22.4 years

             s = sample standard deviation = 3.8 years

             n = sample of students = 19

             \mu = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.878 < t_1_8 < 2.878) = 0.99  {As the critical value of t at 18 degree of

                                                freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.878) = 0.99

P( -2.878 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.878 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X -2.878 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.878 \times {\frac{s}{\sqrt{n} } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X -2.878 \times {\frac{s}{\sqrt{n} } , \bar X +2.878 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 22.4 -2.878 \times {\frac{3.8}{\sqrt{19} } , 22.4 +2.878 \times {\frac{3.8}{\sqrt{19} } ]

                                                 = [19.891 , 24.909]

Therefore, 99% confidence interval for the population​ mean is [19.891 , 24.909].

6 0
3 years ago
I want to see if your are smart and tell me what the answer is <br><br>50-(14+12+2(5)+2(2)+3
Solnce55 [7]
The answer is 7. If you follow the order of PEMDAS this is an easy question.
7 0
2 years ago
HELP ME ASAP! BRAINLIEST UP FOR GRABS
natita [175]

Answer:

-5 ≤ x≤ 3

Step-by-step explanation:

The domain is the values for x

x starts and -5 and includes -5 since the circle is closed

and goes to 3 and  includes 3 since the circle is closed

-5 ≤ x≤ 3

8 0
3 years ago
Read 2 more answers
3x^2 + 4x = -8<br> solve using quadratic formula
Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

ax^{2} +bx +c = 0

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve  (Keep in mind that +/- is ± )

\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}

\frac{-4+/-\sqrt{16-96}}{6}

\frac{-4+/-\sqrt{-80}}{6}

^^^There is no real solution to this equation. You must have an imaginary solution

\frac{-4+/-i\sqrt{80}}{6}

Simplify

\frac{-2+/-2i \sqrt{5}}{3}

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
2 years ago
Please answer will mark as brainist!
lana66690 [7]

Answer:

b

Step-by-step explanation:

5 0
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