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

Look at at pic attached! Pls hurry :( 21 points

Answers

Answer:

C option

Step-by-step explanation:

bcz root of 121 is 11. then 2/3 +11 will give you a rational number.

Answer:

2/7 + square root of 121 (the third one)

Step-by-step explanation:

a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)

the equation simplified a bit looks like this:

2/7 + 11/1

anddd so all the numbers are integers which means that expression is correct :3

HELP ME WITH MY MATH HOMEWORK 9 AND 10

Answers

Answer:

9. 34            10.  8  

Step-by-step explanation:

help meh pls! I will give brainleist if correct omgawd pls!

Answers

Answer:

5= (1/4)c

Step-by-step explanation:

Choose ALL answer choices equivalent to the ratio of snails to frogs?
A. 4:3
B: 3:4
C: 9:12
D: 12:9
E: 18:20
F: 27:36
And the picture shows that there are 4 frogs and 3 snails

Answers

Answers are A B and F I think if I’m wrong I’m really sorry

I need help on this with solutions please

Answers

Answer:

See answers below:

1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDE

a triangle has a base of 8 feet and a height of 6 feet. Ben says that the area of the triangle is 48 square feet. explain what Ben's mistake was. rhen show how to get the correct answers

Answers

in order to find the area of a triangle, you do base X height divided by two. Bens mistake was not dividing my two.

9 square root 3 divided by 3 square root 3

Answers

Answer:

[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]

3 is the right answer.

What is 12 divided by 2/5?
Show your work

Answers

12 • 5/2
Reduce numbers with GCF (2)
6 • 5
Multiply numbers
30
keep change flip.
12 x 5/2
60/2
=30

There are 7 cars in an amusement park ride. There are 42 people divided equally among the 7 cars. An equal number of people ride in each car. How many people ride in one car?

Answers

6 people ride in each car

Explanation:
42 divided by 7 is 6. This means 42 people divided amongst 7 cars.

Answer:

there will be 6 people per cart

Step-by-step explanation:

if u divide 42 the number of people by the number of carts u get 6 so 6 people per cart and

Write the ratio 21 wins to 9 losses as a faction in simplest form.​

Answers

Answer: 7/3

Step-by-step explanation:

Divide both by 3

21/ 3 = 7

9 / 3 = 3

You get 7/3. Hope that helps!

24 + 7 and 9 * ( 24 + 7 )

Answers

Answer:

1. 31

2. 279

Step-by-step explanation:

1. simple addition

2. simple multiplication

if Tyler had 16 cups of lemonade mix,​

Answers

Then he has 16 cups
Of lemonade mix and thats cool

Answer:

tyler really like lemonade.

Step-by-step explanation:

Help please asap thx

Answers

Answer:

2 and a half, but it wants it as a mixed fraction which would be 5/2

Step-by-step explanation:

i hope this helped :)

Answer:

5/2.................

First try was incorrect
Ethan sells balloons at the fair. He sells 1810 balloons in 10 hours on
Tuesday and 1086 balloons in 6 hours on Saturday.
What is the constant of proportionality that relates the total number of
balloons sold, y, to the number of hours selling balloons, x?
label optional
x f(x) VX X
X

(x) < > T

Answers

Answer: 6.55

Step-by-step explanation:

Rewrite the function by completing the square. f(x)=x^2−2x+17

Answers

Answer:

[tex]f(x) = {x}^{2} - 2x + 17 \\ completing \: squares \\ divide \: the \: sum \: by \: 2 \: and \: the \: result \: to \: the \: {x}^{2} and \: subtract \: it \: from \: the \: product \\ in \: this \: case. \: our \: sum \: is \: 2 \\ f(x) = ({x}^{2} \times \frac{2}{2} ) + (17 - \frac{2}{2} ) \\ f(x) = {(x + 1)}^{2} + (17 - 1) \\ f(x) = {(x + 1)}^{2} + 16[/tex]

A fertilized egg receives 50% of its chromosomes from sperm and 50% from the egg. Which process ensures that the sperm and egg contain only 50% of the chromosomes of an organism?

Answers

Answer:

           

Step-by-step explanation:

Answer:

U ଏହାକୁ ଡିକୋଡେଡ୍ କରିନାହିଁ ତୁମେ ଏତେ ଅଦ୍ଭୁତ ଏବଂ ମୂକ ଲୋଲୋଲ୍ |

Step-by-step explanation:

Convert 8% to a fraction/mixed number and a decimal. Select all that apply.

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Decimal - 0.008

Simplifed fraction -- 2/25

Answer:

[tex]8\% = \frac{2}{25} in \: fraction \\ 8\% = \frac{8}{100} = 0.08 \: in \: decimal[/tex]

If the ratio of green to yellow marbles is 2:3, what percent of the marbles are yellow?

Answers

Answer:

60 yellow marbles

Write 25 x 10in standard form.

Answers

Answer:

Step-by-step explanation:

25 x 10=250

standard form is 2.5 x 10²

Need help with this one.

Answers

Answer:

1. 120

2. 2600

Step-by-step explanation:

6% of 2000 = 120

2000+120(5)

2000+600

=2600

Kelsea and Landon are playing in a park standing 100 feet away from each other. They both see a bird flying above them. The angles of elevation from each person to the bird are shown. How high is the bird from the ground? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

use an ASA triangle  with law of sine

since we know that 180 = 20 +45 + C   .. solve for C = 115°

now use  law of sines    c/ sin(C) = b/sin(B) .. and solve for b

Sin(20)*100/sin(115) = b

b = 37.73774 ft

that's the hypotenuse of the 45 triangle

SOH CAH TOA   to remember how trig functions fit

use b*Cos(45) = adj

26.6846 = adj

The bird is 26.7 ft. from the ground

6) A right triangle its rotated about an axis that passes through its height as shown. Which type of object will be formed by its rotation? Describe in words or draw a picture
object will be formed by its rotation? Describe in words or draw a picture.

Answers

Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

Pls help with math ASAP

Answers

125.6


Area of a circle = πr^2
Area of circle 1 = 3.14 × 11 × 11
=379.94cm^2
Area of circle 2= 3.14 × 9 ×9
=254.64cm^2
Area of a shaded region
=379.94cm^2 - 254.64cm^2
=125.60cm^2

Which is the percent for 1.67

Answers

The percent is 167% have a good day

Answer:

167%

i thank that is the anserr.

Step-by-step explanation:

State University has no honors English course but instead places all freshman scoring at least 60 on a proficiency exam (mean=50, standard deviation=10) into an advanced composition course. If the scores are normally distributed and there are 2,500 entering freshman, how many will be put into the advanced course?

Answers

Answer:

that put into the advanced course is 396.75

Step-by-step explanation:

The computation of that put into the advanced course is shown below:

P(X>60)

= P((X - mean) ÷ s > (60 - 50) ÷ 10)

= P (Z > 1)

= 0.1587

It could be checked by the standard normal table

Now that put into the advance course is

= 2,500 × 0.1587

= 396.75

Hence, that put into the advanced course is 396.75

A homeowner uses GGG hours of natural gas heat and PPP hours of heat from a pellet stove to heat her house one month, with a total of 575757 therms of output. How many therms per hour does the pellet stove output

Answers

Answer:

0.0792therms/hour

Step-by-step explanation:

Given

Total output per month = 57 therm of output

Required

Total output of the pellet stove in one hour

Since 1month = 24×30 = 720hours

Hence:

57therms = 720hours

x therm = 1hour

Cross multiply

720×x = 57

x = 57/720

x = 0.0792 therms/hr

Hence the pellet stove use 0.0792therms/hour

Graph the function.


f(x)=−1/5x+4


Use the Line tool and select two points to graph.

Answers

Answer:

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Step-by-step explanation:

We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]

So,  we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)

what is lcm for 30,42

Answers

Answer:

[tex]210[/tex]

Step-by-step explanation:

30: 30, 60, 90, 120, 150, 180, 210

42: 42, 84, 126, 168, 210

Answer:

210

;-;

Based on the table, which function represents the same relationship? The x column has 0, 1, 2, 3. The y column has 0.0625, 0.25, 1, and 4.
Answer
A g(x) = (0.25)
B g(x) = 256(0.25)
C92) = 0.0625(4)"
D g(x) = 0.5(4)"

Answers

The answer is c. I hope u get it right

Answer: C 92) = 0.0625(4)

Step-by-step explanation:

it iz

3 1/2 x 1 1/3
Please explain how to get the answer

Answers

Answer: 77/3 or 25.67

Step-by-step explanation:

3 1/2 * 11/3

3 * 2+1=7

7/3 * 11/3

7 * 11= 77

3 stays the same

77/3 or 25.67

Answer:

4 2/3

Step-by-step explanation:

You need to turn the fractions into improper fractions

To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same

3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2

1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3

Then multiply both numerator by each other and do the same for the denominators

7×4 = 28

2×3 = 6

28/6

Then simply it

28/6 = 4 2/3

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