Are you picky about the toilet paper you buy? James is! To investigate the absorbency power of his favorite

brand of toilet paper, he went to the store and randomly selected (and purchased) 18 single rolls. He then

poured 1/4 cup of water onto a hard surface and counted how many individual squares of toilet paper it took

to completely absorb the water. Here are the results from his 18 rolls:

29

29

20

24

25 29 21

27 28 21

24 27 25 24

25 26 22 23

(a) Is there convincing evidence at the a= 0. 05 significance level that this brand of toilet paper will

require less than 26 squares to absorb 1/4 cup of water?

(b) Referring to your conclusion, what type of error may have been made? Describe the error in the

context of this study.

Answers

Answer 1

There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.

What is a significance level?

A significance level simply means is the probability that an event has occured by chance.

In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.

A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.

Learn more about significance level on:

https://brainly.com/question/9163177


Related Questions

find the length of the segment with endpoints at (2, 7) and (8, -1)

Answers

Answer:

10

Step-by-step explanation:

→ Find the difference in x coordinates

8 - 2= 6

→ Find the difference in y coordinates

-1 - 7 = -8

→ Use Pythagoras

√6² + (-8)² = 10

Divide 2kg in
the ratio 5 : 3

Answers

Answer:

[tex] \frac{5}{4} kg \: \frac{3}{4} kg[/tex]

Step-by-step explanation:

Simplify 2kg

[tex] \frac{5}{4} kg[/tex]

,

[tex] \frac{3}{4} kg[/tex]

Find the area of the rectangle.

Answers

Answer:

10

Step-by-step explanation:

To find the area you multiply the length times the width. 5 x 2 = 10.

Answer:

b^7

Step-by-step explanation:

when you multiply numbers that have powers, you add them instead of multiplying.

I have pp how meany incehes is it ? A(5in B(100in C(50in D(10000in

Answers

Answer:

Non of the Above

Step-by-step explanation:

You are an Alpha male its atleast 2500ft

Help! I will give brainliest!!!

Answers

Answer:

[tex] r = 8.58~cm [/tex]

Step-by-step explanation:

[tex] S = \dfrac{n}{360^\circ}2\pi r [/tex]

[tex] 38.95~cm = \dfrac{260^\circ}{360^\circ}2\pi r [/tex]

[tex] 38.95~cm = 4.5378r [/tex]

[tex] r = 8.58~cm [/tex]

HELP ASAP MY SIS NEEDS HELP AGAIN

Answers

Answer:

$128.10

Step-by-step explanation: (8 * 16.95) - 7.50(135.6) - 7.50128.1

Hopefully this helps you if you don't mind clicking brainliest :)

Find the sum of 150+143+136+…+(-102)+(-109) arithmetic series

Answers

Answer:

779

Step-by-step explanation:

Given Arithmetic series is: 150+143+136+…+(-102)+(-109)

Here,

First term (a) = 150

Common difference (d) = 143 - 150 = - 7

[tex]n^{th}\: term:\:a_n = -109[/tex]

The formula for [tex]n^{th}\: term[/tex] of an arithmetic series is given as:

[tex]a_n = a +(n-1)d[/tex]

Plugging the values of a, d and [tex]a_n[/tex] in the above formula, we will find the number of terms that exist from 150 to (-109)

[tex]-109 = 150+(n-1)(-7)[/tex]

[tex]\implies\: -109 -150=(n-1)(-7)[/tex]

[tex]\implies\: -259=(n-1)(-7)[/tex]

[tex]\implies\: \frac{-259}{-7}=(n-1)[/tex]

[tex]\implies\: 37=n-1[/tex]

[tex]\implies\: 37+1=n[/tex]

[tex]\implies\: n=38[/tex]

Thus, there are total 38 terms in the given Arithmetic series.

Now,

Sum of n terms of an arithmetic series is given by the formula: [tex]S_n=\frac{n}{2}(a +a_n)[/tex],

Plugging in the values, we find:

[tex]S_{38}=\frac{38}{2}[150 +(-109)][/tex]

[tex]\implies S_{38}=\frac{38}{2}[150 +(-109)][/tex]

[tex]\implies S_{38}=19[150 -109][/tex]

[tex]\implies S_{38}=19[41][/tex]

[tex]\implies S_{38}=779[/tex]

If u(x) = x5 – x4 x2 and v(x) = –x2, which expression is equivalent to (startfraction u over v endfraction) (x)? x3 – x2 –x3 x2 –x3 x2 – 1 x3 – x2 1

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that can represent u/v is -x³+x²-1.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression which can represent the u/v can be found in the following manner,

[tex]\dfrac {u}{v} = \dfrac{x^5-x^4+x^2}{-x^2}\\\\\dfrac {u}{v} = \dfrac{x^2(x^3-x^2+1)}{-x^2}\\\\\dfrac {u}{v} = \dfrac{(x^3-x^2+1)}{-1}\\\\\dfrac {u}{v} = -x^3+x^2-1[/tex]

Thus, the expression that can represent u/v is -x³+x²-1.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

C

Step-by-step explanation:

Crispin is packing his photography equipment for a trip around the world. Since he will be visiting many different climates and environments, he has to think carefully about what and how he packs. Do research online to find different products that will help you answer these questions:

What are some types of equipment he will need?
What will he need to protect, maintain, and clean his photography equipment?

Answers

Answer:

wait in comments.................

Answer:

From wheelie bags and hard shell cases, to duffel bags, backpacks, hybrid packs, and day backs, there is a huge amount of choices when it comes to travel luggage Step-by-step explanation:

While studying abroad, Donna wants to make 3 batches of her mother's enchilada recipe to feed her classmates. The recipe calls for 22 oz of cheese for each
batch. The local market sells cheese by the gram. Howmany grams of cheese should Donna buy?
Use 1 oz = 28 g and do not round any computations.

Answers

Answer:

1848 grams of cheese.

Step-by-step explanation:

1 oz = 28 g.

28 x 22 = 616 g

616 g x 3 = 1848 g

Donna should buy 1848 grams of cheese.

Answer each question about the following arithmetic series: 12 18 24 30 . . . 198 what is the explicit rule for the arithmetic sequence on which the series is based? an = (n – 1)

Answers

Answer:

12 6

then 32

and 3360

Step-by-step explanation:

The explicit formula is an= 12+ (n-1)6.

What is Arithmetic  progression?

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given:

12 18 24 30 . . . 198

a=12

d= 6

So, an= a + (n- 1)d

an= 12+ (n-1)6

Hence, the explicit formula is an= 12+ (n-1)6.

Learn more about tis concept here:

https://brainly.com/question/16001001

#SPJ2

help pls !! ♡
6. In the diagram of circle O, tangent PB is drawn as is secant PAC. We wish to prove the Secant/Tangent Length Theorem, i.e. PA·PC = PB2. (a) Explain why APAB is similar to APBC (i.e. explain which two angles pairs must be congruent and why). O® A P B (6) Set up a proportion involving PA, PB, and PC based on the similar triangles and rewrite it in product form. Draw the two similar triangles separately and in the same orientation to help. COMMON CORE GEOMETRY, UNIT #8 - CIRCLE GEOMETRY - LESSON #8 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018​

Answers

The lines PC and PB are the secant and the tangent lines of the circle, while the proportion involving PA, PB, and PC is PA * PC = PB²

Why the triangles are similar triangles?

The triangles are given as:

Δ PAB and Δ PBC

Both triangles have a common point at P.

This means that:

∠P ≅ ∠P --- reflexive property of congruent angles

Also, the angles at C and B are congruent:

This is represented as:

∠B ≅ ∠C

Both triangles have a common side length PB.

Hence, the triangles are similar by ASA similarity theorem

The proportion involving PA, PB, and PC

The similarity theorem in (a) is the ASA similarity theorem.

This means that:

PA : PB = PB : PC

Express as fraction

[tex]\frac{PA}{PB} = \frac{PB}{PC}[/tex]

Cross multiply the expressions

PA * PC = PB * PB

Evaluate the product

PA * PC = PB²

Hence, the proportion involving PA, PB, and PC is PA * PC = PB²

Read more about secant and tangent lines at:

https://brainly.com/question/14962681

#SPJ1

How many solutions are there for the system of equations shown on the graph?
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
15 POINTS !!!!!

Answers

Answer:

D

Step-by-step explanation:

D because they are on the same line and that would make them infinite

9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm

Answers

Area of the prism

= (4x3)/2 x 5

= 30 cm^3

do the earth moves around the sun ...................... or do you think the sun moves around the earth

Answers

Answer:

earth moves around the sun...duh we have science to prove it......

Step-by-step explanation:

Answer: the earth moves around the sun

Step-by-step explanation:

The most direct observational evidence for Earth's orbital motion is the apparent shift of nearby stars after six months, as the Earth moves from one side of its orbit to the other. Because of the large distance to even the nearest start, this parallax shift is too small to been seen without a telescope.

The line of best fit to model the data in the table is y = 5.2x – 0.4. a 2-column table with 5 rows. the first column is labeled x with entries 1, 2, 3, 4, 5. the second column is labeled y with entries 8, 13, 18, 23, 24. what is the residual for 5? –1.6 –0.6 0.6 1.6

Answers

From the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6

How to find the residual value for a given input output pair?

Suppose the given input output pair be (x,y) (actual data point)

Then suppose the prediction be y' from the line of best fit for that input x.

Then the residual value will be calculated for that point as:

Residual value = Actual value - Predicted value

Residual = y - y'

Here, we're given the data as:

         x                         y

         1                          8

         2                        13

         3                        18

         4                        23

         5                        24

The line of best fit for this data is [tex]y= 5.2x -0.4[/tex]

For x = 5, the real corresponding y value is 24, and the predicted value is:

[tex]5.2(5) -0.4 = 25.6[/tex]

Thus, the residual for x=5 is: y - y' = 24 - 25.6 = -1.6

Thus, from the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6

Learn more about residual here:

https://brainly.com/question/3870996

Answer:

The answer is A: -1.6

Step-by-step explanation:

Doing the assignment on edge rn and got the question right

PLS ANSWER ASAP
There are 567 calories in nine ounces of a certain ice cream. How many calories are there in three pounds?

Answers

Before we start, we gotta acknowledge that one pound is 16 oz.

Okay, so to solve this we need to make a ratio. We know there are 567 calories for every 9 oz. That'll look like 567/9. And to compare this to pounds we have to convert those three pounds to ounces by multiplying: 3*16 = 48. So now we can grab that ratio and use cross multiplication to find the answer:

567/9 = x/48

9x = 567*48

9x = 27216

x = 3024

So there are 3024 calories in three pounds of the ice cream.

There are 3024 calories in a certain type of ice cream.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know one pound is equal to 16 ounces.

So, 9 ounces is equal to 9/16 pounds.

Given, There are 567 calories in nine ounces of certain ice cream.

So, There are 567 calories in (9/16) pounds of certain ice cream.

Or, (567)/(9/16).

= 567×(16/9).

= 1008 calories in one pound.

Therefore, There is 1008×3 = 3024 calories in 3 pounds of ice cream.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Would the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry? Explain.

Answers

Answer: Yes

Step-by-step explanation:

If a triangle was inscribed onto the surface of a sphere, the sum of its interior angles will not add up 180 degrees. This is actually a method in differential geometry to see if a surface is flat or curved; see if the angles up to 180 degrees. Now, it depends on how large the triangle is. If we were to draw a triangle on the surface of the earth with lets say a piece of chalk, the angles will appear to add up to 180 degrees. The larger amount of surface that the triangle covers, the larger deviation you will get from 180 degrees.

why do we need to xompute for the circumference?

Answers

Finding the circumference of an object is important in the following scenarios: Whether you want to buy a bra, trousers, or sweater, you need to know the distance around your waist or chest.

You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars. What is the difference between the largest and smallest weight of oranges in kilograms you can buy, if oranges cost 5 dollars/kg.

Answers

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

Solve the follwing please:

Answers

[tex]\dfrac{(-9-11)/(-4)}{-7^2+(11 \times 2^2)}\\\\=\dfrac{(-20)/(-4)}{-49+44}\\\\=\dfrac{5}{-5}\\\\=-1[/tex]

Solve the following:

Answers

-5²+10² / (2×(-5)×3)+3³

= -25+100 / (2×(-5)×3)+27

=-25+100 / -30+27

= 75/3

=25

i don't get it

-5/6x-3>1

Answers

Answer: [tex]x < -\frac{24}{5}[/tex]

Step-by-step explanation:

You have:

[tex]-\frac{5}{6} x-3 > 1[/tex]

Add 3 to both sides to get:

[tex]-\frac{5}{6} x > 4[/tex]

Multiply both sides by 6 to get:

[tex]-{5} x > 24[/tex]

Divide both sides by -5. When you divide an inequality by a negative number, you must switch the signs. Therefore:

[tex]x < -\frac{24}{5}[/tex]

Answer:

The equation is saying multiply or add negative 5/6 to x, then subtract by positive 3 which makes the number go upwards, but not making it positive, and lastly, the equation is saying the result will be greater than 1.

One of the values for x is 5, because...

[tex]-\frac{5}{6} * 5 = -4\frac{1}{6} - 3 = 7\frac{1}{6} > 1[/tex]

With that information, the statement is now complete and true. If you make 5 or anything more than 5 the value for x, the statement will still be true.

Note that I just used 5 as one of the solutions. There are many more than that.

How would I solve this?

Answers

Answer:

second one

s/(2πh) = r

Step-by-step explanation:

You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.

s=2πrh

Since they are all multiplied with r, you divide them all on both sides to send them to other side.

s/(2πh) = 2πrh/ (2πh)

cancel out right side and it leaves r alone.

s/(2πh) = r

I NEED HELP PLSSSSSS I HAVE NO TIME LEFT

Answers

Answer:

D

Step-by-step explanation:

The ratio of the width to the height would be 18:2, which simplifies to 9:1.

A person standing at the edge of a cliff 48 feet tall throws a ball up and just off the cliff with an initial upward velocity of 8 feet per second. What is the maximum height of the ball? When will the ball hit the ground?



The ball will be at its highest at ___


feet.



The ball will hit the ground at t =___


second(s)

Answers

Check the picture below.

since the cliff is 48 feet tall, thus that its initial height.

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&8\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&48\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+8t+48[/tex]

well, as you can see in the picture, its maximum is at its vertex, so

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+48} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(-16)}~~~~ ,~~~~ 48-\cfrac{ (8)^2}{4(-16)}\right)\implies \left(\cfrac{1}{4}~~,~~48-\cfrac{64}{-64} \right)[/tex]

[tex]\left( \frac{1}{4}~~,~~48+1 \right)\implies \stackrel{\textit{the ball is at highest}}{\left(\frac{1}{4}~~,~~\stackrel{\downarrow }{49} \right)}[/tex]

well, it hits the ground when y = 0.

[tex]\stackrel{h(t)}{0}=-16t^2+8t+48\implies 0=8(-2t^2+t+6)\implies 2t^2-t-6=0 \\\\\\ (2t+3)(t-2)=0\implies t= \begin{cases} -\frac{3}{2}\\\\ 2~~\textit{\large \checkmark} \end{cases}[/tex]

notice, we didn't use the negative value, since "t" must be greater than 0.

NO BOTS!! What’s The Answer of this math image?

Answers

Answer:

In part B the answer is 71.

Step-by-step explanation:

In the 3 lines the 2 uppermost and downer most lines look like they make up a 90 degree angle.. since the first one is 19 all we have to do is 90 - 19 which equals 71. Sorry I do not know the answer to part A :(

trigonometric angles without a calculator

Answers

[tex]~~~~~~~\cos x = \dfrac{ \text{Base}}{\text{Hypotenuse}}\\ \\\\\implies \cos x= \dfrac{9}{18}\\\\\\\implies \cos x = \dfrac 12\\\\\\\implies x= \cos^{-1} \left( \dfrac 12\right)\\ \\ \\\implies x = 60^{\circ}[/tex]

Which fraction is the smallest?
A. 1/10
B. 1/4
C. 2/5
D. 2/9

Answers

1/10

Biggest number and smallest

Answer:

1/10 is smallest. With fractions, as the bottom number(denominator) gets bigger, the fraction is actually getting smaller.

Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirt, including $3.99 shipping was $77.49 each shirt cost 12.25 there was no sales tax on this purchase. which equation could be used to find?

Answers

Answer:

12.25s + 3.99 = 77.49 would be your equation used to find the amount of shirts purchased.

When we solve the equation, we get 6 which is the quantity of shirts Gartland purchased.

Step-by-step explanation:

We know the shirts were 12.25 but we didnt know how much she pruchased leaving our shirts (s) unknown.

We added 3.99  for shipping and our total cost was 77.49

We do 12.25s + 3.99 (shipping) = 77.40 total cost

Other Questions
Liam O'Kelly is 20 years old and is thinking about buying a term life insurance policy with his wife as the beneficiary. The quoted annual premium for Liam is $ per thousand dollars of insurance coverage. Because Liam wants a $ policy (which is 2. 5 times his annual salary), the annual premium would be $, with the first payment due immediately (i. E. , at age 21). A friend of Liam's suggests that the $ annual premium should be deposited in a good mutual fund rather than in the insurance policy. "If the mutual fund earns % per year, you can become a millionaire by the time you retire at age 65," the friend advises. LOADING. Click the icon to view the interest and annuity table for discrete compounding when i% per year. A. Is the friend's statement really true? The future value of annual premiums deposited in a good mutual fund is $ nothing. (Round to the nearest dollar. ) In a triangle, a base and a corresponding height are in the ratio 3:2. The area is 108 in^2. Find the base and the corresponding height. You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form. A client who experienced a myocardial infarction 2 weeks ago reports awakening early, loss of appetite, difficulty sitting still or concentrating, and loss of interest in personal hobbies. What mental health disorder do these manifestations represent how did Europe feel about peace in general before the first world War? 45 POINTS!!!! HELPA Ferris wheel at an amusement park is modeled by (x 80)^2 + (y 80)^2 = 5,625, where the measurements are in feet. A slingshot attraction is modeled by y = 3x^2 + 72x 280. Which attraction reaches a greater height, and what does it represent in terms of the context?A.The slingshot reaches a greater height at 280 feet, which is the vertex of the parabola.B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.C. The slingshot reaches a greater height at 152 feet, which is the vertex of the parabola.D. The Ferris wheel reaches a greater height at 150 feet, which is the highest point on the circle. Look at A Bar at the Folies-Bergre by douard Manet. This painting belongsto which artistic movement?A. RomanticismB. RealismC. NeoclassicismD. Impressionism Write a balanced chemical equation for the following reactions:1) Calcium hydroxide+ Carbon dioxide Calcium carbonate + water Which question best represents the main idea in woolf analyzes in a room of one's own? Between what two whole numbers does your answer lie in 30/8? How does the value of the 8 in 589,310 compare to the value of 8 in 598,301?Options: It is 8 times as much, It is 10 times as much, It is 80 times as much, It is 100 times as much. In To Kill a Mockingbird, what did Heck Tate say happened? How were aristocratic women of Ancient Egypt portrayed in the art of the Old Kingdom, Middle Kingdom, and New Kingdom I can only manage to get 3/4 and i know i got the answer right so can someone please help me? Calling all Biblical & Religious people!! (Not trying to sound rude)Can somebody please help me with these questions? Thanks!!Ruth's son was the father of _______, who became the father of _____ in the bibleA very important person would be born from this line. Name this personWhat was the reason the daughter in law gave Naomi that she was going to stay with her in the bible? complete this sentence48% of __is 12.12= 0.48xww=? explain how to identify the points under compression and tension A corner of a rectangle is cut, creating a trapezoid. a right trapezoid is shown. the angles are 90 degrees, 90 degrees, 45 degrees, and x. what is the value of x? 105o 115o 125o 135o 1) Which statement from the text does NOT reflect upon the theme of the Pharaoh's stature as a ruler ofEgypt?esA) For the King of Egypt is a very great man indeed; in fact, his people look upon him,and he looks upon himself, as something more than a man.B) Ever since there have been Kings in the country, and that is a very long time now, Eliminatethe reigning monarch has been looked upon as a kind of god manifest in the flesh.He calls himself "Son of the Sun", in the temples you will see pictures of hischildhood, where great goddesses dandle the young god upon their kneesD) At present "the good god" is Ramses II. A right angle forms a square corner, like the shown below. Draw two angles that are open less than the right angle. Solve this Problem any way you choose