A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.

Answers

Answer 1

Answer:

B is the better detergent

Step-by-step explanation:

If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.

Answer 2

The two laundry detergents B cleans better.

Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.

Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.

Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).

Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.

Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.

Hence, Out of the two laundry detergents, B cleans better.

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Related Questions

What is the solution to the equation/x+4+3/2x+8 = 0?
O x=-12
O x=4
O x= 4
O x= 12

Answers

4 because if you add 4 and 8 that would be 12

Select the correct answer.
Which equation is equivalent to the given equation?
-4(x-5)+8x=9x-3

Answers

Answer:

b, its the logical answer

Step-by-step explanation:

The value of the expression -4(x-5)+8x=9x-3 will be -5x = -23 The correct option is D.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is -4(x-5)+8x=9x-3. The solution to the expression is given below:-

-4(x-5)+8x=9x-3

-4x + 20 + 8x= 9x - 3

4x - 9x = -20 - 3

-5x = -23

Therefore, the value of the expression -4(x-5)+8x=9x-3 will be -5x = -23 The correct option is D.

To know more about an expression follow

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#SPJ2

Photo attached please help

Answers

Answer:

A

Step-by-step explanation:

conjugate means we flip the sign between the two terms.

the two terms here are 5 and √(x+4), with a minus sign in between. we flip the minus sign to a plus sign to find the conjugate.

A fits this

Help me out here pleaseeeeeee

Answers

Answer:

option C

Step-by-step explanation:

(6+3)= 9

9 × 4= 36

36-2= 34

hope it helps! please make me brainliest..

Thank you! Have a good day ahead!

Answer:

(6+3)*4-2

Step-by-step explanation:

(6+3)*4-2

9*4-2

36-2

34

PEMDAS

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?

Answers

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44     which is 7 years older than James

Kate = 35     which is 2 years younger than James

James = 37

josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?

get it right i will give you 100 points

Answers

Hey there! I'm happy to help!

Here's José's equation.

J=2a+15

And here is Nancy's.

N=3a+5

We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!

2a+15=3a+5

Subtract 15 from both sides.

2a=3a-10

Subtract 3a from both sides.

-a=-10

Divide both sides by -1.

a=10

Therefore, José and Nancy charge the same amount for 10 animals.

Have a wonderful day! :D

I need help with math please explain or show how to do t

Answers

Answer:

B  t = 9(5)

Step-by-step explanation:

for each mile the time increased by 9 minutes. So you can find the time in minutes by multiplying the number of miles by 9.

The snowy slopes ski resort kept track

Answers

What I don’t understand what do u mean
There is no context here.

Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.

Answers

Answer:

how bad do u need this answer 1 through 10

Which of the following are terms in this expression? Select all that apply.
2+8c+d+b

HELPPPPPP I HAVE 20 MINUTES LEFT

Answers

Answer:

2, 8, c, b, d

Step-by-step explanation:

Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.

If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets

Answers

Answer:

$63

Step-by-step explanation:

First, divide 28 by 4 to get 7

Now we know that one ticket cost $7.

Do 7 times 9 to get 63

9 tickets costs $63

9 movie tickets would cost $63.

Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.

May I have brainliest please? :)

Find the missing angles.

Answers

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

Evalute the root in the question below in the screenshot
(precalc)

Answers

Answer:

Graph attached

Step-by-step explanation:

jenkins-traub method for the complicate calculation

it has 1 real root: 1.5164

2 complex roots : neglected

what is the volume of the figure?

Answers

Answer:

944 cubic feet

Step-by-step explanation:

You need to take the area of the figure separately.

[tex]8*10*5=400[/tex]

[tex]17*8*4=544[/tex]

400 + 544 =944

What is the slope of the line that passes the points (6,-10) and (3,-13) write your answer in the simplest form

Answers

Answer:

1

Step-by-step explanation:

Big burgers restaurant just got a shipment of ground beef that was 384 oz they make one pound burgers how many burgers can they make with the shipment that they received

Answers

Depends how many ounces each burger is made with

There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14

Answers

Answer:

14:23

Step-by-step explanation:

14:23

Answer:

its 14-23

Step-by-step explanation:

here is the question and again if you were on the other question and u get it right then i will give brainilst on both

Answers

Answer:

[tex]3x^3-3y-3[/tex]

Step-by-step explanation:

[tex]3-3+x^{3}+6x^{3}-3y-3-4x^{3}=3x^3-3y-3[/tex]

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

Answers

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

Complete the equation so it has infinitely many solutions.

4x + 7 = 4(x + 3) –
i juss wanna give yall sum points yw
;)

Answers

Answer:

im not sure

Step-by-step explanation:

Answer:

Thx for the points the answer is also 5

Step-by-step explanation:

Help pleaseeeeeee I’m so lost

Answers

Answer:

yes no no yes

Step-by-step explanation:

1.)
a^2b^3
---------- <-----write in expanded form.
cd


2.)what is the exact solution to the equation 4^5x=3^x-2

Please show all work I've been struggling to understand these questions!!!! thank you so much <3

Answers

Answer:

1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

2.Exact solution x = -0.376

Step-by-step explanation:

Solution:

First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.

1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

Hence,

Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)

2) [tex]4^{5x} = 3^{x-2}[/tex]

Now, we have to find out the exact solution of the above equation:

In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.

So,

We are using logarithm to solve this equation.

Let's break this down:

[tex]4^{5x} = 3^{x-2}[/tex]

Taking log on both sides.

log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]  

[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]

Dividing both sides by log(4)

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

value of log(3) = 0.4771

value of log(4) = 0.6020

[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =

5x = (x-2)0.792

5x = 0.792x - 1.584

by rearranging the equation, we get:

0.792x - 5x = 1.584

x(0.792 - 5) = 1.584

x(-4.208) = 1.584

x = -1.584/4.208

x = -0.376

Exact solution x = -0.376

Which statements are true? Select MORE THAN ONE correct answer.

The absolute value of −9 is positive.

Since −9 is 9 units to the left of 0, ∣∣−9∣∣=−9 .

−9 ​ is farther to the right on the number line than ​ −10 ​, so ∣∣−9∣∣>|−10| .

The absolute value of −9 is equal to the absolute value of 9.

Answers

Statements 1 and 4 are correct. Let me know if you need more of an explanation. :)

Answer:

A and D.

Step-by-step explanation:

Totally blanking on how medians work

Answers

Answer: FC = 16

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

The three medians of this triangle are:

PFREQD

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

Consider the inequality x + 7 < 9. Select all the true statements.​

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9  equation

step 2

x + 7 < 9  subtract -7

x+7(-7)<9(-7)

answer

x<2

Please help me answer this :)
Explain your answer

Will give brainiest ! Oh

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because the points are going up by 10 :)

will give branliest
Simplify the follow expression

3x + 8y + 13x

Answers

the answer would be: 16x+8y
you just combine like terms

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.

Answers

P=70
d=25
Let’s name length y and width x
x+x+y+y=70
2x+2y=70
Now we need to write phytagoras theorem for the second equation. x^2+y^2=25^2
x^2+y^2=625
{2x+2y=70
{x^2+y^2=625

{x=35-y
{(35-y)^2+y^2=625

Now just solve it for y yourself❤️hope this helped

The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.

Answers

Answer:36

Step-by-step explanation:

You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)

The sum of seven and the quotient of a number x and eight.

Answers

7 + x/8 have a good day!
7+x/8 I hope this helps ........!!!!!!!!!! This was what I got
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