Laura’s birthday party has three different colored tables: pink, purple, and green. The pink table has 8 seats. The purple table has 10 seats, and the green table has 8 seats. Laura will assign seats as her friends arrive at her party. What is the probability that the first guest at the party will be placed at the pink table?

Answer:

32

Step-by-step explanation:

First, let's find angle 6 as we will need that to find angle 8.

angle 6 = 180 - 122 = 58(straight line angles equal to 180)

now sum of angles in a triangle = 180

so angle 8 = 180 - 90 - 58

                  = 32

Hope it helps:)

Answer:

32°

Step-by-step explanation:

We know that the exterior angle of the triangle is equal to the sum of the interior opposite angles.

Therefore,

< 1 + < 8 = 122°

Also, given that,

<1 = 90°

So,

< 1 + < 8 = 122°

90° + < 8 = 122

< 8 = 32°

Answer:

Reducing 420/630

420/630 = (?)

420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*

= 2/3

420/630 = 2/3

The simplest form of 420/630 is 2/3

2/3 is the lowest term of 420/630.

Prime FACTORING:
This should help for visuals for 420:
420

| \  

210   2

| \  

105   2

| \  

35   3

| \  

7   5

This should help for visuals for 630:

630

| \  

315   2

| \  

105   3

| \  

35   3

| \  

7   5

Answer:

153.86

Step-by-step explanation:

The area of a circle is π[tex]r^2[/tex].

Since the radius of that circle, and we are using 3.14 for π, we get:

[tex]3.14 * 7^2 = 153.86[/tex]

Answer:

Technically you should get :153.94

But for your answer choice its the 2nd one.

Step-by-step explanation:

area=πr^2

Which means that you would plug in 7 for r.

Which means it would look like this: area=π7^2

Next you would square 7 which comes out to 49

Lastly multiply 49 time π (3.14)

Answer:

[tex]\sqrt{22.25}[/tex]

Step-by-step explanation:

4 ^ 2  is 16

2.5 ^ 2 is 6.25

16 + 6.25 is 22.25

The square root of 22.25 is undefined so...

[tex]\sqrt{22.25}[/tex]

Answer:

SAS

Step-by-step explanation:

The sides are equal on the same side

the angles are also equal

and the other sides too

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

Work Shown:

m/n = 5

m = 5n

m^2 - 25n^2 = (m)^2 - (5n)^2

m^2 - 25n^2 = (m-5n)(m+5n)

m^2 - 25n^2 = (5n-5n)(5n+5n)

m^2 - 25n^2 = (0n)(10n)

m^2 - 25n^2 = (0)(10n)

m^2 - 25n^2 = 0

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

Another approach:

m/n = 5

m = 5n

m^2 = (5n)^2

m^2 = 25n^2

m^2 - 25n^2 = 0

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

Consider the example that m = 10 and n = 2.

We can see that m/n = 10/2 = 5

Furthermore,

m^2 - 25n^2 = 10^2 - 25*2^2 = 100 - 100 = 0

I'll let you try out other examples.

Answer:

24.85

Step-by-step explanation:

17.75/5 = 3.55

3.55 x 7 = 24.85 :)

Have an awesome day!

Please rate and mark brainliest!

Answer:

The data is more spread out so their is a greater variability in the data.

Step-by-step explanation:

The Mean absolute deviation is large, then the data is more spread out  and there is greater variability in the data.

Mean absolute deviation is "collected data set is the average of absolute deviations from the center point of the data set".

According to the question,

Formula for Mean absolute deviation = summation of ( absolute value of   xₙ - x⁻ divided by number of data values),     where ' xₙ' is the input data values and 'x⁻ ' is mean of the given data values .

When the mean absolute deviation is large number then the data spread out more and the variability is greater in data.

Hence, the Mean absolute deviation is large then there is greater variability in the data.

Learn more about Mean absolute deviation  here

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A supervisor finds the mean number of miles that the employees in a department live from work is 24. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

[tex]z = \dfrac{x-\mu }{s}\\[/tex]

x = 29

s = 3.6

z = 1.5

Then the mean will be

[tex]1.5 = \dfrac{29 - \mu }{3.6}\\\\\mu = 29 - 5.4\\\\\mu = 23.6 \approx 24[/tex]

More about the z-score link is given below.

https://brainly.com/question/15016913

Answer:

17

Step-by-step explanation:

85/5=17

Answer:

See below ↓↓↓

Step-by-step explanation:

Part A

Total length = Side 1 + Side 2

Part B

Length of 3rd side = Perimeter - [Side 1 + Side 2]

Part C

Yes, as the resulting polynomial has a finite value we can conclude that polynomials are closed under addition and subtraction.

Part A: The total length of the two sides of the triangle is [tex]5x^2+7x-4[/tex]. This is obtained by adding the given two sides.

Part B: The length of the third side is [tex]5x^3-x^2-8x+1[/tex]. This is obtained by subtracting the sum of two sides from the perimeter of the triangle.

Part C: Yes, the Part A and Part B answers show that the polynomials are closed under addition and subtraction. This is because the expressions have like terms.

Given that, a triangle has two sides of length [tex]3x^2-2x-1[/tex] and [tex]9x+2x^2-3[/tex]

The perimeter of the triangle is [tex]5x^3+4x^2-x-3[/tex]

Part A:

To find the total length of two sides, adding the two side

⇒ [tex](3x^2-2x-1)+9x+2x^2-3\\[/tex]

⇒ [tex]5x^2+7x-4[/tex]

(adding the like terms w.r.t their sign)

Part B:

To find the length of the third side, subtract the sum of two sides from the perimeter.

⇒ [tex](5x^3+4x^2-x-3)-(5x^2+7x-4)[/tex]

⇒ [tex]5x^3-x^2-8x+1[/tex]

Part C:

From Part A and Part B, it is proved that the polynomials undergo addition and subtraction. Hence, it is justified.

Therefore, Part A, Part B, and Part C were obtained.

Learn more about polynomials here:

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Answer:

4 and 2/3 is the answer

Step-by-step explanation:

14/3= 4 and 2/3

Answer:

Step-by-step explanation:

hello :

this is  the arithmetic -sequence because : 8-5=5-5=3 (comon dif)

An =A1+(n-1)r   calculate......... (A1=2   and  r=3   and  n=41) continu...

Answer:

122

Step-by-step explanation:

Answer:

1,044

Step-by-step explanation:

14 x 46 = 644

16 x 25 = 400

644 + 400 = 1,044

Answer:

15 miles

Use the Pythagoras theorem

Answer: 15

Step-by-step explanation:

Let's start by stating what we are given

The perimeter is 36

One side length is 12

And the other given side is 9

Finally we have an unknown side x

The value of all the sides added together is the perimeter.

So add all the sides

12+9+x=36

21+x=36

Subtract both sides by 21

21-21+x=36-21

x=15

Answer: 21 ft

Step-by-step explanation:

Answer: D

Step-by-step explanation:

There are two pairs of congruent angles.

The two triangles FGH and  JKL are similar to each other by Angle-Angle property. Hence, option D is correct.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

In the given figure we can see that the two triangles FGH and  JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.

Hence, option D is correct.

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Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:

A. No, 0. 60 is not contained in the interval.

B. Yes, all the interval values are greater than 0.60.

C. No, all the interval values are greater than 0.60.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).

Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:

A. No, 0. 60 is not contained in the interval.

B. Yes, all the interval values are greater than 0.60.

C. No, all the interval values are greater than 0.60.

More can be learned about confidence intervals at https://brainly.com/question/25890103

Answer:

the top one on the right

Step-by-step explanation:

i used desmos graphing calculator

Answer:

A. 18.94

Step-by-step explanation:

57.79 (Original Price) - 38.85 (Sale Price) = 18.94 (Difference)

LCM = 8

[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]

Finding the LCM is useful to compare the size of 2 different fractions.

LCM

First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.

Comparing

Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.

The area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).

From the complete question, the area of the shaded region 1 will be:

= Area of regular hexagon - Area of regular pentagon

The shaded region 2 will be:

= Area of a square - Area of equilateral triangle

Therefore, the area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).

Learn more about triangles on:

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Answer:

Step-by-step explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) = [tex]\frac{f(b)-f(a)}{b-a}[/tex] ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 = [tex]\frac{44+1}{5}[/tex]

2c + 4 = 9 ⇒ c = [tex]\frac{5}{2}[/tex] (D).

Answer:

C) (2, -9) is a solution to the equation.

Step-by-step explanation:

To find if both or one point is the solution to the equation, substitute the x and y-values of both points into the equation to find which one makes a true and correct statement (the answer).

For (2, -9):

[tex]\sf5x - \frac{y}{3} = 13\\\\5(2) - \frac{-9}{3} = 13\\\\10-(-3)=13\\\\10+3=13\\\\ \boxed{13=13}\\\\\ \textsf{This is a true statement}\\\textsf{This means that (2, -9) is a solution to 5x - y/3 = 13}[/tex]

For (3, -6);

[tex]\sf5x - \frac{y}{3} = 13\\\\5(3) - \frac{-6}{3} = 13\\\\15-(-2)=13\\\\15+2=13\\\\ \boxed{17=13}\\\\\ \textsf{This is not a true statement}\\\textsf{This means that (3, -6) is not a solutions to 5x - y/3 = 13}[/tex]

Therefore, the correct answer is C

Hope this helps!

Step-by-step explanation:

Slope= 7-7/-3-4

0/-7

0

y-7 = 0(x-4)

y-7= 0