Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section number 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is 2.
Find the the theoretical and experimental probabilities of winning, and compare the 2.
Theoretical Probability:_______
Experimental Probability:__________
Which is greater?:_______

Answer:

[tex]\displaystyle y = x^2 + 6x + 12[/tex]

Step-by-step explanation:

To begin with, to define the stretch factour [tex]\displaystyle [A],[/tex]from the standard quadratic equation of [tex]\displaystyle y = Ax^2 + Bx + C,[/tex]find the rate of change between the vertex of [tex]\displaystyle [-3, 3][/tex] and either [tex]\displaystyle [-4, 4][/tex]or [tex]\displaystyle [-2, 4].[/tex]It really does not matter which ordered pair you choose to pair with the vertex because one result will be negative, and the other result will be positive, so it is as though you are taking the absolute value of the rate of change, but not entirely. Anyhow, let us get to wourk:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-4 + 3}{2 - 3} \hookrightarrow \frac{-1}{-1} \\ \\ 1 = m[/tex]

OR

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-4 + 3}{4 - 3} \hookrightarrow \frac{-1}{1} \\ \\ -1 = m[/tex]

So, both oppocite rate of changes tell you that the stretch factour of this quadratic function is [tex]\displaystyle 1,[/tex]ESPECIALLY sinse the graph opens upward.

Now, to determine the quadratic equation for this graph, you need to write this in vertex form first. Remember to base the equation off the vertex:

[tex]\displaystyle y = A[x - h]^2 + k \\ \\ y = [x + 3]^2 + 3[/tex]

So, −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, and sinse the vertex [tex]\displaystyle [(h, k)][/tex]is at [tex]\displaystyle [-3, 3],[/tex]there MUST BE a plus sign inside those brackets. Anyway, let us continue:

[tex]\displaystyle y = [x + 3]^2 + 3 \hookrightarrow y = x^2 + 6x + 9 + 3 \\ \\ \boxed{y = x^2 + 6x + 12}[/tex]

You now have your quadratic equation.

I am delighted to assist you at any time.

Answer:

zqxwsecdvrfr

Step-by-step explanation:

Answer: 11.73 seconds

Step-by-step explanation:

To solve the question, we have to add the time used by Giselle, Sarah and Aliyah and then subtract from 41.37 seconds to determine the time used by Kelly. This will be:

= 41.37 - (9.36 + 9.71 + 10.57)

= 41.37 - 29.64

= 11.73 seconds

Kelly used 11.73 seconds

Answer:

width = let width be w

area = 140

length = 2w-6

Area of a rectangle = l*b

⇒ 2w-6*w=140

⇒ [tex]2w^2-6=140\\2w^2 = 146\\w^2 = 146/2\\w^2 = 73\\w = \sqrt{73}[/tex]

Answer:

10

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

All you have to do to figure this out is divide your 50 invitations by twenty stamps because there is 20 stamps in one booklet. 50 divided by 20=2.5

Answer:

3 books

Step-by-step explanation:

Assuming that you cannot buy a partial book of stamps, you would have to buy a surplus in order to obtain (at least) 50 stamps. That is because 50 is not a multiple of 20.

In theory you would need 2.5 books of stamps, but that half-book should be counted and rounded up to three. You wouldn't have sufficient stamps if you buy only 2 books.

Answer:

See below.

Step-by-step explanation:

We can represent Imani's weekly allowance with the variable a. The equation you can write is:

1/2a+4=12

2(1/2a+4)=2(12)

a+8=24

a=16

The Imani's weekly allowance value is $16.

To solve this problem using a two-step equation,  follow these steps:

Step 1: Let's represent Imani's weekly allowance with the variable "x."

Step 2: We know that Imani spent half of her allowance playing mini-golf, so the amount she spent is (1/2) × x. Additionally, she earned $4 by washing the car. Therefore, the equation becomes:

x - (1/2) × x + 4 = 12

To solve this equation, we need to combine like terms and isolate the variable "x":

(1/2) ×x = 12 - 4

(1/2) × x = 8

Next multiply both sides of the equation by 2 to eliminate the fraction:

2 × ((1/2) × x) = 2 × 8

x = 16

To know more about value here

https://brainly.com/question/30145972

#SPJ6

Answer:

20 hundreds of dollars or 2,000 dollars

Step-by-step explanation:

idrk i think this is right but corect be if im wrong

Answer:

(2,1)

Step-by-step explanation:

The point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To determine the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4), we can use the given coordinates as a reference.

Starting from (6, -4), a horizontal distance of 4 units means we will move 4 units to the right or left on the x-axis.

we move to the left.

This brings us to the x-coordinate of 6 - 4 = 2.

Next, a vertical distance of 5 units means we will move 5 units up or down on the y-axis. Since we want a positive vertical distance, we move up.

This brings us to the y-coordinate of -4 + 5 = 1.

Therefore, the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Answer:

In basic mathematics, Pi is used to find area and circumference of a circle. You might not use it yourself every day, but Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

p = [tex]\frac{q-7r}{9}[/tex]

Step-by-step explanation:

Given

9p + 7r = q ( subtract 7r from both sides )

9p = q - 7r ( isolate p by dividing both sides by 9 )

p = [tex]\frac{q-7r}{9}[/tex]

Answer: p = q - 7r   ÷    9

Answer:

1.76

Step-by-step explanation:

Meredith model of the division problem can be represented as a quotient

The division problem of the number line is y = 8x or y/8

From the complete question, we have the following parameters:

Represent the length of the number line with y, and the quotient with x.

So, the equation of the division problem is:

x = y/8

Rewrite as:

y = 8x

Hence, the division problem of the number line is y = 8x or x = y/8

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

three thousand one hundred and two

Step-by-step explanation:

Step-by-step explanation:

three point seven two five eight

brainiest please

Step-by-step explanation:

Factors of 8xy:   2    2    2   x   y

Factors of 10x2y:   5   2    2    x    y    

Factors of 12xy2:    2    2    2    3    x    y

Find the numbers or variables they all have in common.

x-3 + 2 < 10

x - 1 < 10 .... combine like terms

x-1+1 < 10+1 ... add 1 to both sides

x < 11  is the answer

If you need to graph it, then place an open circle at 11 on the number line. Shade to the left.

if x - 3 + 2 is less than 10 then you would solve this question like this,

x - 3 + 2 < 10

x -(3+3) + 2 < 10 + 3

x + 2 < 13

x +(2-2) < 13 - 2

x < 11

The length of an arc between two consecutive spokes is 5π/8 in.

The length of an arc L = rФ where

So, L = rФ

L = r × 2π/n

L = 2πr/n

Substituting the values of the variables into the equation, we have

L = 2πr/n

L = 2π × 2.5 in/8

L = 5π/8 in

So, the length of an arc between two consecutive spokes is 5π/8 in.

Learn more about  length of an arc here:

https://brainly.com/question/8402454

Answer:

Infinitely many solutions

Step-by-step explanation:

Infinitely many solutions because no matter what you put in for x the equations will always be true

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

Explanation

The diagonals of a rhombus are always perpendicular.

This leads to triangle ECB being a right triangle. The 90 degree angle at point E.

The other acute angles add to 90

C+B = 90

(5a+4) + (8a-5) = 90

13a-1 = 90

13a = 90+1

13a = 91

a = 91/13

a = 7

This value then leads to:

Note how 39+51 = 90 to confirm that C+B = 90 is correct. This confirms the correct 'a' value and final answer.

Answer:

C (third answer choice)

Step-by-step explanation:

This is because there is money left over after she buys 4 DVDs, so each DVD must be less than $12.50 each, otherwise she would have spent at least $50 on them which is not what is being said.

Answer:

C

Step-by-step explanation:

I took test on edge :)

Answer:

the boy can touch the ceiling (passive voice)

Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

7² + 10² = 49 + 100 = 149

since 149 ≠ 144 then the triangle is not right

Hey there!

In order to divide fractions, we should multiply the first fraction by the reciprocal of the second one.

let me clarify:

[tex]\bold{\displaystyle\frac{3}{5} :\frac{5}{8}}[/tex]

flop 5/8 over:

[tex]\bold{\displaystyle\frac{3}{5} :\frac{8}{5}}[/tex]

and now multiply

[tex]\bold{\displaystyle\frac{3}{5} *\frac{8}{5}}[/tex]

[tex]\bold{\displaystyle\frac{24}{25}}[/tex] (Answer)

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

c

Step-by-step explanation:

When it says 5(4+8)

It means

5 x 4 + 5 x 8

But you could also say that as

5(4) + 5(8)

Since

5 x 4 and 5(4) are the same

Hope this helped you

:-)

The investment that increase by a factor of 5 in 20 years, has a growth of 8.38% per year.

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Given that an investment increasing in value exponentially, to increase by a factor of 5 in 20 years. Hence:

Factor per year = [tex]5 ^\frac{`1}{20}=1.0838[/tex]

Growth per year = 1.0838 - 1 = 0.0838 = 8.38%

The investment that increase by a factor of 5 in 20 years, has a growth of 8.38% per year.

Find out more on exponential function at: https://brainly.com/question/12940982