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.

Answers

Answer 1

Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

At the null hypothesis, we test if the proportion is of 40%, that is:

[tex]H_0: p = 0.4[/tex]

At the alternative hypothesis, we test if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

In which:

X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:

[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]

With n as the sample size.

In this problem:

0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:

[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]

The value of the test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

[tex]Z = \frac{1 - 0.4}{0.283}[/tex]

[tex]Z = 2.12[/tex]

The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.

Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.

The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

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Related Questions

True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies

Answers

True I think but I hope you get right

Answer:

true

Step-by-step explanation:

England claimed the colonies, so they ruled over them.

x-5<2 or x-5>7
The solutions to the compound iniquity are _ or _.

Answers

Answer:

from your DVR to record the points you like

Step-by-step explanation:

because I only want the points

khan acdemy vdieo on Compound inequalities:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compund-inequalities

question 10. please i didnt listen to the lecture please help

Answers

Answer:

I wrote the answers in the screenshot

5. Write an equation in point-slope form for the line through the given point with the given slope.

Answers

Answer:

C. y+3= -1/4(x-8)

Step-by-step explanation:

The slope-intercept form:

m - slope

b - y-intercept

We have the slope  

and point (8, -3). Substitute:

       add 2 to both sides

Answer:

The point-slope form:

Substitute:

ANSWER: y+3= -1/4(x-8)

Formule una propiedad algebraica basica del sistema de numeros reales para justificar cada uno de los siguientes enunciados, donde Y y Z representan numeros reales. a) (y + 2)z+3=(yz+2z)+3 b) (4+7)y=y(4+7) C) (1+4)+3=4+(1+3)

Answers

Answer:

Nose :>

Step-by-step explanation:

.

The algebraic properties that can be applied in this case are: distributive property, commutative property, associative property.

What properties can we apply in this situation?a) Distributive Property: (y + 2)z + 3 = yz + 2z + 3. The distributive property establishes that multiplication is distributed over addition or subtraction, allowing us to simplify the original expression by adding the product of y and z to 2z and then adding 3.b) Commutative property: 4y + 7y = y(4 + 7). The Commutative Property of Multiplication states that the order of the factors does not affect the result. Here, 4y and 7y can be rearranged as y(4) and y(7) respectively, keeping the same result.c) Associative Property: (1 + 4) + 3 = 4 + (1 + 3). The Associative Property of Addition states that numbers can be grouped in different ways without changing the sum total. Both sides of the equation group the numbers the same way.

Note: The question is in Spanish. Here is the question in English:

Formulate a basic algebraic property of the real number system to justify each of the following statements, where Y and Z represent real numbers. a) (y + 2)z + 3 = (yz + 2z) + 3

b) (4 + 7)y = y (4 + 7)

c) (1 + 4) + 3 = 4 + (1 + 3)

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The following ratio table has a mistake. Select the value that does not create an equivalent ratio. Ratio Table 1 2 3 6 5 10 10 12​

Answers

Answer:

10 and 12

Step-by-step explanation:

10 and 12

if I divide 3 and 6 by 3 I get 1/2

if I divide 5 and 10 by 5 I get 1/2

1/2 is the first one listed

I cannot reduce 10/12 and get 1/2, I get 5/6

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.


1. What scale factor is being used to make the image?

A scale factor of

2. How tall is the actual book?

inches

Answers

Answer: 6, 18

Step-by-step explanation:

a. actual width/scaled width = 9/1.5 = 6

b. scaled width*scale factor = 3*6 = 18

Write the equation in slope-intercept form.
6x – 3y = -18

Answers

Answer:

y = 2X + 6

Step-by-step explanation:

6x +18 = 3y

y = 6/3x + 18/3

Find each product -1(9)

Answers

Answer:

-9

Step-by-step explanation:

-1×9. that is how it is

What is the probability

Answers

The answer is yes but not if so

Use the zeros and the labeled point to write the quadratic function
represented by the graph.
у
Х
-5
5
(3-6)
- 10

Answers

Answer:

y = 2x2 - 10x + 12

Step-by-step explanation:

The quadratic function represented by the graph is y= 2x² - 10x + 12.

What is the quadratic function represented by the graph?

The task's requirements dictate that the quadratic function represented by the graph be identified.

As the roots of the quadratic function are p and q, the quadratic function can be described as y = a (x - p) (x - q), where a is a constant.

As a result, since the roots are 2 and 3, we obtain;

y = a (x - 2) (x -3) (x -3)

So, we must substitute the values defined by the provided point, (1, 4), as shown below in order to find the value of the constant, a.

4 = a (1 -2) (1 -3)

4 = a(-1) (-2)

4 = 2a

a = 2.

So, the required equation is y = 2 (x - 2) (x - 3).

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SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!

Answers

Answer:

C

Step-by-step explanation:

To write the equation of line when slope and one point is given

[tex]y2 - y1 = m(x2 - x1)[/tex]

here m = 3/4

(x1,y1) = 3,-2

Substitute all the values in Formula

[tex]y + 2 = \frac{3}{4} (x - 3) \\ y + 2 = \frac{3}{4} x - \frac{9}{4} \\ y = \frac{3}{4} x - \frac{9}{4} - 2 \\ = \frac{3}{4} x - \frac{17}{4} \\ 4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]

multiply by 4 on both sides

[tex]4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]

(First correct answers get brainliest or a lot of points)
0.5 divided by -0.667 times 0.75 minus 0.8
Good luck!

Answers

Answer:

I believe that it is −1.3622188906

7:

A: write and solve an equation that can be used to find the value of x:

B: write and solve and equation that can be used to find the value of y

Answers

Answer:

The Answer is A

Step-by-step explanation:

Hope it helps!

Answer:

The anwser is A. In a way, It's just youre job to try and find out what A stands for, so, that means it is up to you to find the answer, and not us.

Step-by-step explanation:

HELP PLZ HELP FAST THIS IS DUE

Answers

Answer:

False

Step-by-step explanation:

The angles are different degrees

Answer: false

Step-by-step explanation: dont really have an explenantion

A Child’s Growth and Prosperity
When a new baby enters this world, pediatricians will monitor the baby’s growth in many areas. Weight, head circumference, length, and body mass index are just a few of the measurements collected as newborns progress through childhood. Parents of newborns are not only concerned with their child’s measurements, but they typically consider their child’s medical and financial needs, too.



As you complete the task, keep these questions in mind: How can you use linear functions to describe and analyze measurements associated with babies’ growth? How can you use functions to calculate college savings and to determine how much medicine to administer?
Directions:
Complete each of the following tasks, reading the directions carefully as you go.
You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations.

Answers

Answer:

a) 0.75 inch/month

b) y-20 = 0.75(x-4)

c) 17 inches

d) 44

a) 0.8 inch/month

b) yes

c) y = 0.8x + 18.8

d) 18.8 inches

Step-by-step explanation:

a) (21.5-20)/(6-4) = 1.5/2

= 0.75 inch/month

If this is correct, 2 months after the 6th month (month 8), it should be

21.5 + 2(0.75) = 23

Which it is

b) y-y1 = m(x-x1)

Where y is the length, x is the months, m is the slope and (x1,y1) is a known point

At x = 4, y = 20

y-20 = 0.75(x-4)

Or

y = 0.75x + c

20 = 0.75(4) + c

c = 20 - 3 = 17

y = 0.75x + 17

c) at birth, 4 months before month 4

So, 20 - 0.75(4) = 17

Which is also the y-intercept

d) y = 0.75(36) + 17

y = 27 + 4 = 44 inches

Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches

a) slope = (30-22)/(14-4)

= 0.8 inch/month

b) 0.8 > 0.75, so yes

c) When x = 4, y = 22

y-22 = 0.8(x - 4)

y - 22 = 0.8x - 3.2

y = 0.8x + 18.8

y-intercept is 18.8

d) at birth, x = 0.

Length was 18.8 inches

Step-by-step explanation:

Solve 48-5i=-4x+10yi

Answers

Answer:

Step-by-step explanation:

Suppose we decide to solve for y first.  y will then be in terms of x AND a real and an imaginary term:

48-5i=-4x+10yi

The goal here is to solve for y.  Adding 4x to both sides yields

48 - 5i + 4x = 10yi

and then we divide both sides by 10i to isolate the variable y:

48 - 5i + 4x

----------------- = y                 This result is "y in terms of the constant 48, the

      10i                               imaginary terms 5i and 10i, and the expression 4x.

We solve the original equation for x in a similar manner:

48-5i=-4x+10yi becomes 48 - 5i - 10yi = -4x, so that:

      -(48 - 5i - 10yi)

x = ------------------------

                 4

Next time, please specify which variable (x or y) you're solving for.  Thank you.

Freeman High School's drill team will be attending the national competition and needs to raise $1,600. To raise money for the trip, the girls are selling tickets to a luncheon. Tickets are $8 for students and $10 for adults. The equation 8x+10y=1600, where x represents the number of student tickets sold and y represents the number of adult tickets sold, can be used to represent this situation. The graph of this equation is shown below.

Answers

The equation that can be used to represent this situation is 8x + 10y = 1600

Let x represent the number of student tickets sold and y represents the number of adult tickets sold.

Since students ticket cost $8 and adult tickets cost $10, and the total ticket sold was $1600, hence this can be represented by the equation:

8x + 10y = 1600

Therefore the graph of the above equation is attached

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1.8331 to nearest hundred

Answers

Answer:

1.83 because hundredth would be in the second place after the period

Step-by-step explanation:

Find the length of AB to the nearest hundredth

Answers

Answer:

The required length of AB is 7.28 units.

Step-by-step explanation:

3. Show that x = –1 and y = 3 satisfy the linear equation 2x + 3y = 7.


4. Write three solutions for the equation 2x + 3y = 8.​

Answers

Step-by-step explanation:

2x+3y=7

solution

2-1+3+3

1+6

7 ans

If u guys help
Me this should be easy depending on who’s doing it ok what are the answers to this u guys have to figure it out This is 3rd grade homework I trying to help my friend and he doesn’t know what the rest are can u help please asap

Name
wrap
sign
wrote
gnaws
wring
knee
wreath
knit
knife
knight
knock
write
gnome
wrists
wreck
A. Write the spelling words that match the clues below.
1. street marker
S
4. a sharp tool
ínite
MA
2. tap on a door
5. cover a gift with paper
3. a ring of plants used for
decoration
B. Write the spelling word that best completes each sentence.
6. The doctor checked both her
after she fell.
P
7. He
a letter to the mayor about the park.
8. I am learning to
a wool scarf.
9. A beaver
trees into logs.
10. My friend likes to
silly poems about animals.
11. My little sisters
my room when they come in.
12. My story is about a brave
- who fights dragons.
13. I scraped my left
when I fell off my bike.
14. A
is small and usually wears a pointed hat.
15. We will
out the wet towels.

Answers

Answer: look at explanation

Step-by-step explanation:

number 3. wreath

number 8. knit

number 9. gnaws

number 10. write

number 11. wreck

number 12: knight

number 14: gnome

number 15: wring

Which type of tax is income tax?​

Answers

Answer:

B.) Progressive

Step-by-step explanation:

Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.

It would be B progressive

Write 125 as a power of 5.

Answers

Answer: The answer would be 5^3

Step-by-step explanation:

5 x 5 x 5= 125

984 X 225
Jsnsjjsjsjwjsjsjsjsjsjjajsjsjandnncndis

Answers

221400 Use a calculator to find this answer.

Answer:

984 × 225 = 221400

Step-by-step explanation:

2.57 mi/hr= how many m/min? Simplify your answer, round to the nearest tenth. Thanks.

Answers

Answer is 68.9 m/min.

Step-by-step explanation :-

Let's convert the units. To do this, we need to cancel the original units to get the units we want. We achieve this the following way :-

[tex]2.57 \frac{mi}{hr} \times \frac{1069.34 \: m}{1 \: mi} \times \frac{1 \: hr}{60 \: min} [/tex]

[tex] =>68.9 \: \frac{m}{min} [/tex]

Therefore, 2.57 mi/hr is the same as 68.9 m/min .

✍️ By Benjemin ☺️

Lynette wanted to run one mile in eight minutes. To be on pace to reach
her goal, how far will she need to run in 2 minutes? ?
3

Answers

Answer:

0.25 miles

Step-by-step explanation:

assuming that she keeps a constant Velocity/ speed,

find the speed she intends to run with, ie total distance/time

[tex]\frac{1}{8} miles \: per \: minute[/tex]

find the distance she travels in two minutes, ie speed multiplied by time.

[tex] \frac{1}{8} \times 2 = \frac{1}{4 } = 0.25[/tex]

Slope
Find the slope for each line

Answers

Answer:

3. -3/2

4. 3/2

5. 5/3

6. 7/3

7. -6/2 or -3

8. 7/3

Step-by-step explanation:

Rise over run. (∆Y/∆X)

Answer:

3. -3/2

4. 3/2

5. 5/3

6. 7/3

7. -6/2 or -3

8. 7/3

Step-by-step explanation:

count up then over sideway y/x

3x + (2 + x) + 5 x 2 as a product of two factors

Answers

Answer:

4x+12

I think that's it............

Help pleaseeeees x+1/6=3x/10

Answers

Answer:

X=1/174

Step-by-step explanation:

Answer:

x = -5/21

Step-by-step explanation:

The common denominator between all the terms in this equation is 30. Multiply everything by 30.

[x+1/6=3x/10]  * 30

30x + 5 = 9x   subtract 9x on both sides

21x+5 = 0  subtract 5 on both sides

21x = -5   divide 21 on both sides

x = -5/21

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And for lack of one of those ships, his hopes were ruined!A squat, brawny figure in shapeless space-jacket came to Kenniston's side. It was Holk Or, the Jovian who had been waiting for him."What luck?" asked the Jovian in a rumbling whisper."It's hopeless," Kenniston answered heavily. "There isn't a small cruiser to be had at any price. The meteor-miners buy up all small ships here.""The devil!" muttered Holk Or, dismayed. "What are we going to do? Go on to Earth and get a cruiser there?""We can't do that," Kenniston answered. "You know we've got to get back to that asteroid within two weeks. We've got to get a ship here."Desperation made Kenniston's voice taut. His lean, hard face was bleak with knowledge of disastrous failure.The big Jovian scratched his head. In the shifting moonlight his battered green face expressed ignorant perplexity as he stared across the busy spaceport."That shiny little cruiser there would be just the thing," Holk Or muttered, looking at the gleaming, torpedo-shaped craft nearby. "It would hold all the stuff we've got to take; and with robot controls we two could run it.""We haven't a chance to get that craft," Kenniston told him. "I found out that it's under charter to a bunch of rich Earth youngsters who came out here in it for a pleasure cruise. A girl named Loring, heiress to Loring Radium, is the head of the party."The Jovian swore. "Just the ship we need, and a lot of spoiled kids are using it for thrill-hunting!"Kenniston had an idea. "It might be," he said slowly, "that they're tired of the cruise by this time and would sell us the craft. I think I'll go up to the Terra Hotel and see this Loring girl.""Sure, let's try it anyway," Holk Or agreed.With the Jovian clumping along beside him, Kenniston made his way from the spaceport across the ancient Martian city.Read the following line from the text:"We can't do that," Kenniston answered. "You know we've got to get back to that asteroid within two weeks. We've got to get a ship here."What can be inferred about Kenniston from this line? A. He has already been to the asteroid.B. He has not already been on an asteroid.C. Holk Or is his only friend.D. Holk Or is not very helpful in these matters. Approximately how much greater, in grams is 191520 than 146640 Helppppppp pleasssssssss 21. A fisherman catches two sturgeons. The smaller of the two has a measured length of 93.46 cm (two dec- imal places and four significant figures), and the larg- er fish has a measured length of 135.3 cm (one deci- mal place and four significant figures). What is the total length of the two fish? the nucleic acid sequence in mrna is determined by Those anyone knows how to rewrite these fill it out please ok guys solve the eequation show all your work g + 5 = 7 1/5 Bettina was sick for several weeks, and her slow recovery has made her realize that she is not as healthy as she thought she was. She has never been fond of exercise and is intimidated at the thought of going to a gym. Walking seems manageable, and there are some hills in her neighborhood. But she knows that is not aerobic exercise. Is this a good place to start?OPTIONS:A. No, walking is neither aerobic nor anaerobic exercise.B. No, exercise that is not aerobic never does much good.C. Yes, but she will not have any health benefits unless she escalates it.D. Yes, she can slowly improve her capacity and move to aerobic exercise later. Mention the importance of constitution side length of a cube with a volume of 614cm At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items thateach cost the same amount, but each was $1.50 less than the items that Beast Boy bought. Both Beast Boyand Cyborg paid the same amount of money. What was the individual cost of each person's items?(a) Write an equation. Let x represent the cost of one of Beast Boy's items.(b) Solve the equation. Show your work.(c) Check your solution. Show your work.(d) What was the individual cost of each person's items? State the solution in complete sentences. Choose the best response Write the equation of the line passing through the points (2,-5) and (7,-3). why is it important that a patient receives the correct blood type and rh factor during a blood transfusion? put 5.04, 5.069, 5.4, and 5.64