X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation ​above as the equation of a circle in standard form , and identify the ​center and radius . ​ ​The center is at the point ( , ​ ) ​ The radius is

Answer:

B

Step-by-step explanation:

To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey.  The first scenario would only allow friends of the committee members to be selected,  but the second one would give a chance to all students.

Answer:

Mean: 9

Median: 9

Mode: 9

Variance: 9

Standard deviation: 9

Step-by-step explanation:

Answer:

pupil question:

3 6 1

3 have brothers

6 have both

1 has sisters

Step-by-step explanation:

3+6+1+2=12

Answer:

Step-by-step explanation:

X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2

Answer:

The simplest form should be (x + 7)^2 (squared)

Step-by-step explanation:

This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)

Answer:

4/32

Step-by-step explanation:

3/4*1/2=3/8

3/8*1/4=4/32

Answer:

3/32 inch^3

Step-by-step explanation:

Answer: The volume of the cube is 25 cubic centimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cube: side lenght^3

Replacing with the side length value and solving for V (volume)

V= 5^2 = 25 cm2

In conclusion, the volume of the cube is 25 cubic centimeters.

Feel free to ask for more if needed or if you did not understand something.

Answer:

125

Step-by-step explanation:

Look at Google:)❤

Answer:

Step-by-step explanation:

Nick's age = x years

Lina's age =3*x = 3x

After 6 years,

Lina's age = 3x + 6

Nick's age = x + 6

3x + 6 = 2*(x+6)

3x + 6 = 2*x + 2*6

3x + 6 = 2x + 12      {Subtract 6 form both sides}

3x +6 - 6 = 2x + 12 - 6

3x  = 2x + 6    {subtract 2x from both sides}

3x - 2x = 2x + 6 - 2x

x = 6

Nick's age = 6 years

Lina's age =3*6 = 18 years

Answer:

Lina is 18 and Nick is 6

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3

Answer:

8 hours

Step-by-step explanation:

HE has to pay $7 an hour.

8*7=56

He has a descount of $3, so

$56-$3=$53.

Which is the exat amount of money that Tony has.

Answer:

The answer is 46

Because he wants to spend less so you would do

7x7=49

He could only rent the boat for 7 hours because that would be less than 53$

Now you do 49-3=46

Because he had a discount

So the answer is 46

Step-by-step explanation:

Hope this helped!

We have been given a circle. We are asked to find the measure of arc MN.

We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:

[tex]\widehat{MN}+\widehat{NO}+\widehat{OL}+\widehat{LM}=360^{\circ}[/tex]

Upon substituting our given values, we will get:

[tex]\widehat{MN}+110^{\circ}+130^{\circ}+54^{\circ}=360^{\circ}[/tex]

[tex]\widehat{MN}+294^{\circ}=360^{\circ}[/tex]

[tex]\widehat{MN}+294^{\circ}-294^{\circ}=360^{\circ}-294^{\circ}[/tex]

[tex]\widehat{MN}=66^{\circ}[/tex]

Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.

Answer:

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

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

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this question, we have that:

[tex]n = 1200, p = 0.3[/tex]

So

[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]

The probability that less than 348 possess that characteristic is

Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a pvalue of 0.2148.

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

The population follows a normal distribution.

The probability that less than 348 possess that characteristic is 0.2248

The given parameters are:

[tex]\mathbf{n = 1200}[/tex]

[tex]\mathbf{p = 30\%}[/tex]

Start by calculating the mean:

[tex]\mathbf{\mu =np}[/tex]

[tex]\mathbf{\mu =1200 \times 30\%}[/tex]

[tex]\mathbf{\mu =360}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{252}}[/tex]

[tex]\mathbf{\sigma = 15.87}[/tex]

Calculate the z-score

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

Where:

x = 348

So, we have:

[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]

[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]

[tex]\mathbf{z = -0.7561}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]

From the z-table of probabilities, we have:

[tex]\mathbf{P(x < 348) = 0.2248}[/tex]

Hence, the probability that less than 348 possess that characteristic is 0.2248

Read more about probabilities at:

https://brainly.com/question/11234923

480 miles = 7 1/2 hours

y miles = 12 hours

(cross multiply)

answer: 1645.7 miles

Answer:

Africa = 54 countries

Asia = 53 countries

Eastern Europe = 23 countries

Western Europe = 29 countries

Latin America = 33 countries

Step-by-step explanation:

193 member states - Kiribati = 192 countries

Asia = Africa - 1

Eastern Europe = 0.5Africa - 4

Western Europe = 0.5Africa + 2

Latin America = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5(54) - 4 = 23

Western Europe = 0.5(54) + 2 = 29

Latin America = 54 - 21 = 33

Africa is = 54 countries

Asia is = 53 countries

Eastern Europe is = 23 countries

Then, Western Europe is = 29 countries

After that, Latin America = 33 countries

Then, 193 member states - Kiribati = 192 countries

After that, Asia = Africa - 1

Now, Eastern Europe = 0.5Africa - 4

Western Europe is = 0.5Africa + 2

Latin America is = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5(54) - 4 = 23

Western Europe = 0.5(54) + 2 = 29

Therefore, Latin America = 54 - 21 = 33

Find more information Logical Data Grouping here:

https://brainly.com/question/22607492

Answer: [tex]x<\frac{2}{5}[/tex]

Step-by-step explanation:

[tex](2x+3)(4x-1)<8x^2+1[/tex]

Begin by multiplying parentheses.

[tex](2x*4x)+(2x*-1)+(3*4x)+(3*-1)<8x^2+1[/tex]

[tex](8x^2)+(-2x)+(12x)+(-3)<8x^2+1[/tex]

[tex]8x^2-2x+12x-3<8x^2+1[/tex]

Subtract [tex]8x^2[/tex]

[tex]8x^2-2x+12x-3+(-8x^2)<8x^2+1+ (-8x^2)[/tex]

[tex]-2x+12x-3<1[/tex]

Add 3

[tex]-2x+12x-3+3<1+3[/tex]

[tex]-2x+12x<4[/tex]

Combine like terms;

[tex]10x<4[/tex]

Divide by 10

[tex]x<\frac{4}{10}[/tex]

Simplify;

[tex]x<\frac{2}{5}[/tex]

Answer:

the answer is 30%

Step-by-step explanation:

24/80 = 0.3 or 30%

Answer:

We need more info

Step-by-step explanation:.

Answer: your answer is 11.2 plz rate fairly im only 14

Step-by-step explanation:

7x2= 14 ÷15 = 0.93x12= 11.2

Answer:

amar makes 8 dollars per hour

Step-by-step explanation:

to find the number of hours of work amar does you have to divide the total amount earned by the number of hours worked

64/8 = 8

every hour amar makes 8 dollars, $8 x 8 hours = $64

Answer:

B is the answer your looking for

Step-by-step explanation:

Answer:

(1,-2) edge2020

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

got it right on edge

Answer:

x = -69.87

Step-by-step explanation:

22.5 + x = -47.37

Subtract the 22.5 on both sides:

x = - 69.87

Answer:

(225/10)+x=-(4737/100)  

One solution was found :

                  x = -6987/100 = -69.870

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "47.37" was replaced by "(4737/100)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               (225/10)+x-(-(4737/100))=0  

Step by step solution :

Step  1  :

           4737

Simplify   ————

           100  

Equation at the end of step  1  :

  225                4737

 (——— +  x) -  (0 -  ————)  = 0  

  10                 100  

Step  2  :

           45

Simplify   ——

           2  

Equation at the end of step  2  :

  45          -4737

 (—— +  x) -  —————  = 0  

  2            100  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        x     x • 2

   x =  —  =  —————

        1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

45 + x • 2     2x + 45

——————————  =  ———————

    2             2    

Equation at the end of step  3  :

 (2x + 45)    -4737

 ————————— -  —————  = 0  

     2         100  

Step  4  :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       100  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 1 2 2

5 0 2 2

Product of all  

Prime Factors  2 100 100

     Least Common Multiple:

     100  

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 50

  Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (2x+45) • 50

  ——————————————————  =   ————————————

        L.C.M                 100      

  R. Mult. • R. Num.      -4737

  ——————————————————  =   —————

        L.C.M              100  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(2x+45) • 50 - (-4737)     100x + 6987

——————————————————————  =  ———————————

         100                   100    

Equation at the end of step  4  :

 100x + 6987

 ———————————  = 0  

     100    

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 100x+6987

 ————————— • 100 = 0 • 100

    100    

Now, on the left hand side, the  100  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  100x+6987  = 0

Solving a Single Variable Equation :

5.2      Solve  :    100x+6987 = 0  

Subtract  6987  from both sides of the equation :  

                     100x = -6987

Divide both sides of the equation by 100:

                    x = -6987/100 = -69.870

One solution was found :

                  x = -6987/100 = -69.870

Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

because it's true

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

Answer:

7

Step-by-step explanation: