what does n equal in 4n − 2n = 4

Answers

Answer 1

Answer:

Step-by-step explanation:

4 = 2


Related Questions

Which equations are correct?

Select each correct answer.




−4b^4(5b^2+6)=−20b^8−24b^3

−5x^3(3x^3+2)=−15x^9−10x^3

−3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

Answers

Answer:

3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

are the correct equations.

Step-by-step explanation:

If you simply all these equations you will get following equations :

when bases are same and are in multiplication we add the exponents.

−4b^4(5b^2+6)=−20b^6−24b^4

−5x^3(3x^3+2)=−15x^6−10x^3

−3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

so equation 3 and 4 are correct.

PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!

Precalculus: Use Function Notation and Describe Graphs Project

Description
In this project you will use words and function notation to describe the connection between the transformation of a function’s graph and the affect on the function’s equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function
.
Requirements
You may submit a Word document, or Powerpoint file or pdf.

Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name “Parker Carla Use Function Notation and Describe Graphs Project.docx”)


Projects that are not named properly will be reset for you to resubmit your project.

Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.
Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.


What must be done to a function’s equation so that its graph is shifted vertically upward?
What must be done to a function’s equation so that its graph is shifted horizontally to the right
What must be done to a function’s equation so that its graph is stretched vertically?
Describe what the graph of looks like.
Explain how the Point-Slope equation, is a transformation of .

Answers

Answer:

esult in the project being reset and the student losing access to auto-progression.

Answer the fol

How to simplify the following expressions?
1. 6x-3y+8x-(-4y-3y)
2. 1+8a/4-3+2a

Answers

Answer with Step-by-step explanation:

1. 6x-3y+8x-(-4y-3y)

14x-3y+4y+3y

14x+4y

1+8a/4-3+2a

-2+2a-2a

-2a

Select the correct answer.
The graph of function fis shown
y +10
+5
5
10
-10
Which statement correctly describes the graph of 9() = (– 4);
A. Function g has the same horizontal asymptote as fand a vertical asymptote at 3 = 5.
ОВ. Function g has the same vertical asymptote as fand a horizontal asymptote at y = -2.
OC Function g has the same vertical and horizontal asymptotes as function f.
OD. Function g has a horizontal asymptote at y = -2 and a vertical asymptote at = 5.

Answers

Answer:

A

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

What is vertical asymptote?

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

here, we have,

We have to determine

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph;

The straight-line x=6 is a vertical asymptote of the graph of the function  if at least one of these conditions is true:

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

To know more about vertical asymptote, click the link given below.

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you earn $40 for washing 8 cars. How much do you earn for washing 4 cars

Answers

Answer:

$20

Step-by-step explanation:

Divide 40 by 8. Then multiply that answer by 4.

You divide 40 by 8 to see how much 1 car wash takes. Then multiply it by how many cars is in the question.

$240 Step-by-step explanation: 40 x 5 = 200 40 x 6 = 240 (basically just adding forty dollars)


please someone answer with an explanation if possible!

Answers

Answer:

download gauth math and scan it and will give u the answer

Answer:

C

Step-by-step explanation:

The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.

George bought 9 apples that cost 50 cents each. He paid with a five dollar bill. How much change did George receive?

Answers

Step-by-step explanation:

pls follow me this is my new.id

Answer:

He has 9 apples so we add .50 cents 9 times.

If we count this money-wise we would get 4.50, so if he paid with a $5 bill he would recieve 50 cents

Step-by-step explanation:

Seven more than twice a number is greater than negative nineteen. Find all numbers that make this statement true.
The answer is I (Type an inequality using x as the variable.)

Answers

Answer:

Hey there,

Let the unknown number be x

Here they say that ,

Seven more than twice a number,

2x + 7

Is greater than,

2x + 7 >

Negative 19,

2x + 7 > -19

Now solve for x

[tex]2x + 7 > - 19 \\ 2x > - 19 - 7 \\ 2x > - 26 \\ \frac{2x}{2} > \frac{ - 26}{2} \\ x > - 13[/tex]

So,

All the numbers which are greater than (-13) makes this statement true.

Examples

[tex]x = { - 12, - 11, - 10, - 9...} \\ [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

All numbers that makes, the statement "Seven more than twice a number is greater than negative nineteen" True, are the numbers greater than -13.

Let us denote the unknown number as "x",

The given statement can be translated into an inequality as follows:

7 + 2x > -19,

Now, to solve for "x," we separate the variable by subtracting 7 from both sides of the inequality,

We get,

2x > -26

Divide both sides by 2:

We have,

x > -13

Therefore, any number greater than -13 would make the statement "Seven more than twice a number is greater than negative nineteen" true.

In interval notation, this would be written as (-13, ∞), indicating all real numbers greater than -13.

Learn more about Inequality here

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I need help with those problems

Answers

Answer:

for the first one it's 36

for the second its 13

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Option D

[tex]a1(r) {}^{n - 1} [/tex]Putting values:

[tex]2(3) {}^{4 - 1} [/tex][tex]2(3) {}^{3} [/tex][tex]2 \times 27[/tex][tex] = 54[/tex]Hence, Proved.

Answer:

[tex]54[/tex]

Answer D is correct

Step-by-step explanation:

[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?

Answers

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]

what new realization do you have about finding the nth term of the arithmetic sequence and finding the arithmetic means how would you use this in making decision ​

Answers

Step-by-step explanation:

Arithmetic Sequnce in our daily life

The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.

Sample real life problem:

1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?

In this situation, I would use the arithmetic sequence formula which is:

an = a1 + (n - 1)d

an is the nth term

a1 is the first term

n is the term position

d is the common difference

Lets subsitute:

an = P300 + (30 - 1)P2

an = P358

I should earn P348 at the end of 30 days

no linksWhich value completes the equation?


56

,

000

÷


Choose...

= 800

Answers

Answer:

800

Step-by-step explanation:

divide 5 and 8

The lovin' lemon company sells a 4-gallon jug of lemonade for $24. The sweet and sour company sells an eight pack of 1-quart bottles of lemonade for $16.00 . which company has a higher unit price? explain our answer

Answers

Answer:

the lovin lemon

Step-by-step explanation:

there are 4 quarts in a gallon so 4 times 16 is 64 for just one gallon so the answer would be the lovin lemon is cheaper

Need some help on this question please provide evidence on how you came up with the answer aswell.

Answers

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

The square root of 75 is closet to wich is not following

Answers

The answer is b. 9 .

Answer:

B.) 9

Step-by-step explanation:

The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9

You roll a six-sided die. Find the probability of each of the following scenarios
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number
---
(a) P(6 or number > 3) = 0.500 (Round to three decimal places as needed)
(b) P(1 or 2 or 3 or 4 or 6) =
(Round to three decimal places as needed.)

Answers

Answer:

a) [tex]1/2[/tex]

b) [tex]5/6[/tex]

c) [tex]2/3[/tex]

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]

what is 100 X 694 / 8460 + A =???

Answers

zmxjdjsjdhnsjduxjdjd

A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she dropped 23.5 feet how many feet has she been below sea level if she was 89.2 feet below sea level after she dropped

Answers

Answer:

65.7 ft.

Step-by-step explanation:

at first, let's say she was x fts. below sea level.

over the next 10 minutes she drops 23.5 ft.

that is her height below sea level then becomes

(x + 23.5) ft.

and it's given that she dropped to 89.2 ft. below sea level.

x + 23.5 = 89.2

x = 89.2 - 23.5

x = 65.7 ft.

and x was the height she's been below sea level.

Therefore ,she's been 65.7 ft. below sea level.

Answer:

65.7

Step-by-step explanation:

We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.

I need help I don’t understand

Answers

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

___o_o___

2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

___o_o___

3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

___o_o___

4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

___o_o___

5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

___o_o___

6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

___o_o___

7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

___o_o__

8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

___o_o___

9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

___o_o___

10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

___o_o___

Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

___o_o____

Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Hey ! Can anyone help me with this question please ? Thank you

Answers

Answer:

7

Step-by-step explanation:

4x-13 = x + 8

3x = 21

x = 7

enjoy

NO LINKS OR ASSESSMENT!!!

Part 2: Graph the image of the figure using the transformation given. Don't forget to prime marks on your new image.

4. Reflection across the y-axis​

Answers

Answer:

F' = (2 , -4)

G' = (-1 , -3)

H' = (4 , 0)

I' = (5 , -2)

Step-by-step explanation:

To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:

(x , y) → (-x , y)

Using this will give the points of F', G', H', and I'.

To find the new points, plug in the values into the formula:

F → F' = (-2 , -4) → (2 , -4)

G → G' = (1 , -3) → (-1 , -3)

H → H' = (-4 , 0) → (4 , 0)

I → I' = (-5 , -2) → (5 , -2)

To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.

A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)

centimeters, and (8.1g – 9.3f) centimeters. Which expression represents the

perimeter, in centimeters, of the triangle?

Answers

Answer: 9.3d−g-10.4f

Step-by-step explanation:

Evaluate the expression. −3(−15−2(−9))2 What is the value of the expression? Enter your answer in the box.

Answers

-3(-15-2(-9))2= -3(-15+18)2= -3(3)2= (-9)2= -18

please mark this answer as brainlist

The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ −3[−15 − 2(−9)]²

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ −3[−15 − 2(−9)]²

⇒ −3[−15 + 18]²

⇒ −3[3]²

⇒ −3 × 9

⇒ −27

The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.

More about the value of the expression link is given below.

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I really need help getting these answers please​

Answers

Answer:

[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]

Are 6/9 and2/3 proportion

Answers

Answer:

yes, they are proportional

Step-by-step explanation:

6/9 is just three time as big as 2/3 but they are basically the same fraction

Answer:

Step-by-step explanation:

yes, it is proportional

6/9 = 2/3

18 = 18

Write the word namefor the decimal 31.903

Answers

Thirty-one and 903 thousandths

5(t-9) +12t=20

3(6m-17),m=5

Answers

Answers: 67 and 39

Solving:
5(t - 9) + 12
5(20 - 9) + 12
100 - 45 + 12
55 + 12
67

3(6m - 17)
3(6*5 - 17)
3(30 - 17)
90 - 51
39

2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)

Answers

Answer: (7,5)

Explanation:
4 + 3 = 7 (x value)
0 + 5 = 5 (y value)

The coordinates of the image point will be P''(7, 5).

What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right

Given is to translate P(4, 0) right by 3 units and up by 5 units.

Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)

Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)

Therefore, the coordinates of the image point will be P''(7, 5).

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Find the area of the figure.

Answers

Answer:

24 units^2

Step-by-step explanation:

bc=6

ab=8

area of a triangle: b*l/2

6*8/2=24

Answer: Area of the figure = 24

Concept:

Here, we need to know how to find the area of a triangle.

Area (triangle) = (1/2) · b · h

b = base

h = height

Solve:

Given coordinates on the graph

A (-5, 5)

B (-5. -3)

C (1, -3)

To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value

A (-5, 5)

B (-5, -3)

5 - (-3) = 5 + 3 = 8

To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value

B (-5, -3)

C (1, -3)

1 - (-5) = 1 + 5 = 6

Given expression

A = (1/2) · b · h

Substitute values into the expression

A = (1/2) · (6) · (8)

Simplify by multiplication

A = (1/2) · (48)

[tex]\boxed{A =24}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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How many fluid ounces of iced tea are in the pitcher? Which of the following phrases identifies the cashier who is farthest away?A este cajeroB. esos cajerosC. aquel cajeroD. esta cajeraWhich of the following phrases identifies the closest entrance?Esta entrada Esa entrada Aquellas entradas Esas entradas No me gustan aquellos calcetines vivos How would you say that you prefer dark ones? Prefiero los claros Prefiero los vivios prefiero los oscuros Prefiero los apretadosIf somone asks De qu est hecho? What information is the person asking to know? How much something costsWhat something is made of How the person looks If something is on sale When does the carnaval ponceo take place? The week before Christmas The week before Easter The week before Ash Wednesday The week before summer solstice Qu escribiste? LetterStoryNoteListWith which country does the Dominican Republic share an island CubaPuerto Rico HaitiJamaica What is common and expected of shoppers looking for good deals in the markets of Santo Domingo Negotiating prices Paying in cash Buying religious relicsGoing to the mallWhat is the name of the Caribbeans largest shopping mall? Los Haitises Viejo San Juan Plaza las amricas Mercado modeloEllos____ la television AyerMirMirasteis MirMiraron How would you identify the exit that is closest nor farthest from you?Esta salida Esa salidaAquellos salida Esas salidas Which of the following is not found in San Juan? Plaza las amricas Mauseo de las amricas San felipe del morro Mercado modeloHow do you say it is made of cotton in Spanish Esta hecho de cuero Esta hecho de seda Esta hecho de LanaEsta hecho de algodonHow do you say gift certificate in SpanishLa tarjeta de creditoEl cheque personal El cupon de regalo El cheque de viajeroWhich country trails only the US in terms of the number of baseball players that play in the majuro leagues? Dominican Republic Puerto rico HaitiCuba What is one meaning of the term nuyorican Someone of puerto rican descent born outside of Puerto RicoA native puerto rican Someone of Dominican descent born outside of the Dominican Republic All Puerto Ricans who live in the US What can ecotourists at los haitises national park? Answer with a paragraph or close to one.Currently Puerto Rico is a common wealth what are three options for the future political status of Puerto Rico? Whoever can tell me this fastest will be marked brainliest! 15 is 37 1/2 of what number? How did enlightenment ideas influence Thomas Jefferson Consider the line with equation y=-2x + 2.Can you write the equation of a line throughpoint (3,-4) that is perpendicular to the given line? he recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion. Can anyone answer with an explanation? Final ReviewWhich of the following is not a type of discrimination?A. RacialB. GenderC. ReligiousD. Supervisor/EmployeeSubmit Every day Ahmet buys a scratch-off lottery ticket with a 40%, percent chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40%, percent as always versus the alternative that the chance is somehow greater.