How do you find theoretical probability?

(If you don’t mind, please add in some random numbers to help explain ;^; )

Answer:

Approximately 7.16 in

Step-by-step explanation:

Hi there!

Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius

Plug in the given area 161 in.²

[tex]161=\pi r^2[/tex]

Divide both sides by π to isolate r²

[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]

Take the square root of both sides to isolate r

[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]

Therefore, the radius of the circle is approximately 7.16 in.

I hope this helps!

Answer:

r = 7

y = -2

Step-by-step explanation:

9r + 2y = 59 (Multiply this by 5)

2r + 5y = 4   (Multiply this by -2)

45r + 10y = 295

-4r - 10y = -8

41r = 287

r = 7

2r + 5y = 4

2(7) + 5y = 4

14 + 5y = 4

5y = 4 - 14

5y = -10

y = -2

Answer:

5x=17+33

5x=50

x=10

Have a great day!

Answer:

182

Step-by-step explanation:

-5(-33)+17

165+17

=182

We need to determine the equation of the circle graphed in the attachment. Firstly we know the Standard equation of a Circle as ,

[tex]\sf\implies (x-h)^2+(y-k)^2 = r^2[/tex]

Let's find out the radius . As ,

[tex]\sf\implies r = \sqrt{ ( 6-4)^2+(2+2)^2} \\\\ \sf\implies r =\sqrt{ 2^2 + 4^2}\\\\\sf\implies r = \sqrt{ 4 + 16 }\\\\\sf\implies \red{r =\sqrt{20}}[/tex]

Substituting the respective values :-

[tex]\implies ( x - 4 )^2 + \{y - (-2)\}^2 = (\sqrt{20})^2 \\\\\sf\implies ( x - 4 )^2 + \{y + 2 \}^2 = 20 \\\\\sf\implies x^2+16-8x + y^2+4+4y = 20 \\\\\sf\implies \red{x^2+ y^2 - 8x + 4y = 0 }[/tex]

[tex]\boxed{\pink{\tt Equation \to x^2+ y^2 - 8x + 4y = 0 }}[/tex]

Answer:

y- intercept = - 1

Step-by-step explanation:

To find the y- intercept , let x = 0 in the equation and evaluate for y

y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1

y- intercept = - 1 or (0, - 1) in coordinate form

Answer:

Plug x=0 into the equation and solve the resulting equation

The y-intercept:

3x^2 + 2x - 1

3(0)^2 + 2x(0)- 1

0+0-1

-1

y=−1 is intercept for y  

(0,−1)

Step-by-step explanation:

Answer:

First box-time

Second box-distance

Third box-correlation

Step-by-step explanation:

Horizontal is along the bottom.

Vertical in going up.

Correlation shows the relation between the horizontal and vertical axis.

Answer:

1. x = 10

2. x = 9

Step-by-step explanation:

131231231212312312312312312312312313131231231231231312312312

123123211231312132

Answer:  Refer to the screenshot below

I've filled in the boxes with the proper answers

====================================================

Explanation for problem 1

In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n

On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.

For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.

------------------------------------

Explanation for problem 2

The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.

We use the distributive rule on line 1

For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.

For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.

The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.

Answer:

y = 12

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 4 when x = 6, then

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

When x = 2 , then

y = [tex]\frac{24}{2}[/tex] = 12

Answer:

No

Step-by-step explanation:

Technically, if you didn't turn anything in then no. If it is truly 80% of your final grade then not turning anything in would drop your grade to an F immediately. Although for a single project to be worth 80% of the entire year's grade seems off. Usually, finals and projects are a large percentage, but are more around the 25% range and not 80%. Otherwise, a student could not do anything the entire year and simply do the project and still pass with a B. That is why the grading system is not usually designed like this.

Angle D = ABC arc / 2

x + 100 = ABC arc / 2

ABC arc = 2 × ( x + 100 )

ABC arc = 2x + 200 ( ♡ )

_________________________________

Angle B = ADC arc / 2

3x = ADC arc / 2

ADC arc = 2 × 3x

ADC arc = 6x ( ☆ )

_________________________________

ABC arc + ADC arc = 360

( ♡ ) , ( ☆ ) :

( 2x + 200 ) + ( 6x ) = 360

8x + 200 = 360

8x = 360 - 200

8x = 160

x = 160/8

x = 20

____________________________

Thus :

Angle A = 5(20) - 3 = 97 degrees

Angle B = 3(20) = 60 degrees

Angle D = 20 + 100 = 120 degrees

____________________________

Sum of the interior angles of any four-sides figures are equal 360 degrees ,

Thus :

Angle A+Angle B+Angle C+Angle D = 360

97 + 60 + Angle C + 120 = 360

Angle C + 120 + 157 = 360

Angle C + 277 = 360

Angle C = 360 - 270 - 7

Angle C = 90 - 7

Angle C = 83 degrees

Answer:

5/8

that's mah answer tht is correct

Answer:

The range is {7, 11, 15, 19}

Step-by-step explanation:

Substitute the domain values in the formula

2x + 1

2(3) + 1 = 7

2(5) + 1 = 11

2(7) + 1 = 15

2(9) + 1 = 19

Answer:

76

Step-by-step explanation:

so the sequence(pattern) is it increases by 5

there are 2 ways to solve this promblem

one count on your toes and hands by 5 starting at one until u get to 10 fingers and 5 toes. soon the promblems will get harder and you cant do that

other way multiply 5 by 15 and add it to 1

t( 15 ) = t( 1 ) + [ 14 × ( Constant value ) ]

________________________________

t( 1 ) = 1

&

Constant value = t( 2 ) - t( 1 ) = t( 3 ) - t( 2 )

Constant value = 6 - 1

Constant value = 5

________________________________

Thus :

t ( 15 ) = 1 + [ 14 × 5 ]

t( 15 ) = 1 + 70

t( 15 ) = 71

Answer:

56.549 cm   (choice 1)

Step-by-step explanation:

If the area of the square if 36 cm, then each side is 6 cm.

That means the diameter for each semi circle is also 6 cm.

Formula for a semi circle is 1/2(πr²)

We need the radius, which is half the diameter. So the radius is 6÷2= 3

Now plug in to the formula.

A= 1/2(π3²)

A= 14.137 (nearest hundredths)

Now multiply that by 4, because there are 4 semi circles

4(14.137)= 56.549 cm (nearest hundredths)

Answer: 42

Step-by-step explanation:

Given

An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]

One case will hold [tex]38[/tex] Umbrellas

Number of cases required to hold all the Umbrellas are

[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]

Thus, 42 packs are required to hold all the Umbrellas

Answer:

1036

Step-by-step explanation:

Answer:

1036

Step-by-step explanation:

298 + 738 = ?

→ 298 + 738

→ 1036

Answer:

v = pi r² h

Step-by-step explanation:

thats the answer

Answer:

.15 meters

Step-by-step explanation:

answer is B

Step-by-step explanation:

150 mm is 0.15 metres

Answer:

35th term = 209

Step-by-step explanation:

The sequence is 5+6...+6

So since 5 is the first term, we add 34 times 6 in order to find the 35th term

5 + 34*6 = 209

Answer:

y = 2x + 3

Step-by-step explanation:

The slope can be found by taking two points, for instance: (0,3) and (3,9) which lie on the graph.  Find the slope between the two, remember rise over run:

(9-3)/(3-0) = 6/3 = 2

The y-intercept is (0,3)

So b in the y= mx + b equation is 3.

m is the slope, so it is 2.

y = 2x + 3

Answer:

18.57 centimeters

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1 is the formula

-2-(-1)/-6-(-8) = -1/2

Hope this helps.

Hi there!

[tex]\large\boxed{-n^2 + 4n}[/tex]

Begin by evaluating f - g:

4n - 5 - (n² - 5)

Simplify:

4n - 5 - n² + 5  = 4n - n²

Or it can be written as -n² + 4n to match the first answer choice.

Answer:

2

Step-by-step explanation:

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  

where p and q are the two diagonals  

Volume of a pyramid = 1/3 x ( length base x height)

Answer:

Border City is 1488 Miles

Step-by-step explanation:

Do 248*6