find the center and radius

[tex]\text{Apply Pythagorean theorem,}\\\\~~~~x^2 = 6^2 +8^2\\\\\implies x = \sqrt{6^2 +8^2}\\\\\implies x = \sqrt{36 +64}\\\\\implies x =\sqrt{100}\\\\\implies x = 10~~ \text{units.}[/tex]

The random sample is that where every result (student for the case) has the same probability to be selected.

Then you cannot use any method that select one student with preference.

Two possible valid methods are:

- Write the number of each student in separate papers, put all the papers in a closed box and  blind choose 102 papers.

- Assign a number to each student of the school and use a method to generate 102 random numbers.

Answer:

10 maybe

Step-by-step explanation:

Answer:

The probability that the sum is 5 or lower for each dice when rolled is 25/36, since all numbers equal to or below 5 count. Since there are 5 numbers out 6 possible, 5/6 is the probability fo rolling 5 or lower for one. Multiply 5/6 by itself, since we are rolling twice 5/6 * 5/6 = 25/36 or about a 69.5% chance

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

Khan Academy

Answer:

12

Step-by-step explanation:

SUM/COUNT = formula

8+13+15/3

36/3

= 12

Answer:

x=26

Step-by-step explanation:

4x+4+4x-32=180

8x-28=180

8x=180+28

x=26

Answer:

For the book standing on the left you have a choice out of all

6

, for the next one you choose from the

5

left, and so on.

Explanation:

So the total number of arrangements you have:

6

×

5

×

4

×

3

×

2

×

1

=

720

Usually this is written as

6

!

, pronounced "6 factorial"

(factorial meaning the product of all whole numbers from

1

up to and including the one before the

!

)

Step-by-step explanation:

CORRECT ME IF IM WRONG

Answer:

$16

Step-by-step explanation:

You would just multuply the amount of time and the amount of money it costs.

Answer:

$1

Step-by-step explanation:

4 divided by 4 is 1 like the other person said. You can give them brainliest.

Hope It Helps

Answer:i think you are on the right track

Step-by-step explanation:

I am not very good at this,but i  think you have it right so far

Answer:

14.04

Step-by-step explanation:

Answer:

-2 > -9

or

-9 < -2

Step-by-step explanation:

-2 > -9

Inequalities represent values by comparing their size to other numbers.

Negative Numbers

While positive 9 might be larger than positive 2, remember that negative numbers work in the opposite way. -9 is more negative than -2, thus it is smaller. Another way to think about it is that -9 is further below 0 than -2.

Inequality Symbols

There are 2 main inequality symbol < (less than) and > (greater than). The symbol opens to the side of the larger number. Because we know that -2 is greater than -9, we can make the inequality -2 > -9.

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

[tex]\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x[/tex]

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

[tex]\rm y = \dfrac{2}{3} x + c[/tex]

Then this line also passes through a point (2, -3). Then the value of c will be

[tex]\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13[/tex]

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ4

Answer:

[tex]\boxed{k = \frac{L^2 + p}{4t}}[/tex]

General Formulas and Concepts:

Algebra I

Basic Equality Properties

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle L = \sqrt{4kt - p}[/tex]

Step 2: Solve for k
We can use equality properties to help us rewrite the equation to get k as our subject:

Let's first square both sides:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}[/tex]

Next, add p to both sides:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}[/tex]

Next, divide 4t by both sides:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}[/tex]

We can rewrite the new equation by swapping sides to obtain our final expression:

[tex]\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow \boxed{k = \frac{L^2 + p}{4t}}\end{aligned}[/tex]

∴ we have changed the subject of the formula.

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Learn more about Algebra I: https://brainly.com/question/27698547

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Topic: Algebra I

the diagram shows a regular dodecagon is the size of one interior angle

The length of the base of the parallelogram that has a height of 5 yards and an area of 150 square yards is 30 yards

The given parameters are:

Area = 150

Height = 5

The area of a parallelogram is:

Area = Base * Height

So, we have:

Base * 5 = 150

Divide both sides by 5

Base = 30

Hence, the length of the base of the parallelogram is 30 yards

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Check the picture below, so the parabola looks more or less like so.

the vertex is always half-way between the focus point and the directrix, and since the parabola is opening downwards, the "p" distance is negative.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=5\\ k=1\\ p=-1 \end{cases}\implies 4(-1)(y-1)~~ = ~~(x-5)^2\implies -4(y-1)=(x-5)^2 \\\\\\ y-1=-\cfrac{1}{4}(x-5)^2\implies y=-\cfrac{1}{4}(x-5)^2 + 1[/tex]

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=\stackrel{KL}{2}\\ \theta =\stackrel{\widehat{LM}}{\frac{14\pi }{9}} \end{cases}\implies A=\cfrac{ ~~ \left( \frac{14\pi }{9} \right)(2)^2 ~~ }{2}\implies A=\cfrac{28\pi }{9}[/tex]

Answer:  

If the two side planks are equal lengths then the answer is 26 1/3.

Answer:

[tex]P(5)=\frac{1}{6}[/tex]

Step-by-step explanation:

Since the number 5 appears once on a 6-sided die, then [tex]P(5)=\frac{1}{6}[/tex]

Answer:

5 weeks

needs 75 more $$$

Step-by-step explanation:

To find x, first find y.

In a triangle, all the angles add up to 180. So we can create the equation:

45+55+y=180
100+y=180
y=80

Since x and y are vertical angles, that mean they are equal so that means angle x is also 80.

Answer:

31200000

Step-by-step explanation:

Jeez who gave you this question?

{0}

The range of a function is the set of y-values within a function.

Finding the Range

As stated above, the range is all of the y-values. To find the y-values remember that in a coordinate pair the second point is the y-value. So, look at the second value of each pair. For all 4 points, the y-value is 0. This means that the range is 0.

Range Notation

Now that we know the range, we need to use the correct notation. When writing domain or range, make sure that the values are listed in order from least to greatest. Additionally, even if y-values repeat in the coordinate pairs, only state them once in the range. In this case, there is only 1 unique value, so the range should only have 1 value. Finally, the range is surrounded by braces. Therefore, the range should be written as {0}.

Answer:

A

Step-by-step explanation:

Answer:

It is 2/27

Step-by-step explanation:

Took the test.

Answer:

$980

Step-by-step explanation:

Regular hours- 40 per week

Regular wage- $10/hour

Regular Pay- (40 hours + 40 hours) × $10.00/hour = $800

First week: 43 hours = 40 hours regular + 3 hours overtime

Second week: 49 hours = 40 hours regular + 9 hours overtime

Overtime hours- 3 hours + 9 hours = 12 hours

Overtime wage- $10/hour × 1.5 = $15/hour

Overtime Pay- 12 hours × $15/hour = $180

Gross Pay-​ $800 + $180 = $980

Reason:

Plug in w = 16 and compute.

D = 4w + 30

D = 4(16) + 30

D = 64 + 30

D = 94

This says at week 16, Jose will have $94 in his piggy bank.

Answer:

Simplify (0%)

.

O A. 6

O B.

01

6

O C. 64

O D. 616

Step-by-step explanation:

Answer:

Kaylaa   do you use  desmos graphing calculator?  it's an online graphsing tool and would make this very easy for you. Maybe you are not allowed to use a calculator?

Step-by-step explanation:

with out  a calculator it's a long math process,  1st because each of the equations are equal to  Y,  we can set each of them equal to each other. like this

[tex]\sqrt{x-8}[/tex] + 3  =  - [tex](x-5)^{2}[/tex] + 18

[tex]\sqrt{x-8}[/tex]     =  - [tex](x-5)^{2}[/tex]  +18 -3

[tex]\sqrt{x-8}[/tex]   =    - [tex](x-5)^{2}[/tex]  + 15

[tex]\sqrt{x-8}[/tex]   = -[ (x-5)*(x-5) ] + 15

[tex]\sqrt{x-8}[/tex]  = -[ [tex]x^{2}[/tex] - 10x + 25] +15

[tex]\sqrt{x-8}[/tex]  = -[tex]x^{2}[/tex] + 10x -25 +15

 [tex]\sqrt{x-8}[/tex] = -[tex]x^{2}[/tex] + 10x -10

-  [tex]\sqrt{x-8}[/tex]  = [tex]x^{2}[/tex] - 10x +10

(-  [tex]\sqrt{x-8}[/tex])^2  = (  [tex]x^{2}[/tex]- 10x +10)^2

this turns into a 4 order polynomial.   I used a solver to find x

x = 8.75884....  approx

so the question asks what is the point at the nearest 1000th,  which is 8.759  

then they ask what is the point at the nearest 100th, which is  

8.76

I'm attaching the graph, if it helps  :P

Answer:

Perimeter = [tex]16\sqrt{5}[/tex]

Area = [tex]80[/tex]

Step-by-step explanation:

To find the perimeter of the square, you can use the square perimeter formula, [tex]P=4a[/tex], where [tex]a[/tex] is equal to the length of one side:

[tex]P=4a[/tex]

[tex]P=4(4\sqrt{5})[/tex]

[tex]P=16\sqrt{5}[/tex]

Then, to find the area of the square, you can use the square area formula, [tex]A=a^2[/tex], where [tex]a[/tex] is equal to the length of one side:

[tex]A=a^2[/tex]

[tex]A=(4\sqrt{5})^2[/tex]

[tex]A=80[/tex]

Therefore, the perimeter of the square is [tex]16\sqrt{5}[/tex] millimeters and the area of the square is [tex]80[/tex] square millimeters.

I hope this helps!