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.
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.
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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Where is the blue dot on the number line? -6.5 ?
Answer:
-6.8 is the answer.
Step-by-step explanation:
It seems as if those ticks each represent 0.1. So go 0.3 down from -6.5!
Hope this helped! Have a great day!
Ramona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?
Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?
Solution:[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]
[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]
[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]
[tex] = \frac{58 + 13.92}{3} [/tex]
[tex] = \frac{71.92}{3} [/tex]
[tex] = 23.97[/tex]
Answer:Each of them did spend $23.97
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PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND
Answer:
hate to break it to ya but their is no question-
Step-by-step explanation:
A what you need help with
Step-by-step explanation:
What is the slope to this?
Answer:
hozlatie
Step-by-step explanation:
Solve. 3k -4 > 60 – k
Answer:
[tex]3k - 4 > 60 - k \\ = 3k + k > 60 + 4 \\ = 4k > 64 \\ = k > \frac{64}{4} \\ = k > 16[/tex]
Answer:
k > 16
Step-by-step explanation:
Solve it like an equation solving for k
Move the -4 to the other side by adding it to both sides.
3k -4 plus 4 > 60 plus 4 - k
You get 3k > 64 - k
now move the k from the right to the left by adding both sides by k
3k plus k > 64 - k plus k
You get 4k > 64
Now divide both sides by 4 so you get k alone on one side to solve for the inequality
4k/4 > 64/4
k > 16
Is a 39 Celsius body temperature higher than normal 98 Fahrenheit??
Yes or No
Answer:
Yes.
Step-by-step explanation:
According to medical science, a body temperature considered normal (that is, below fever) in degrees Fahrenheit is 98ºF, while its equivalent in degrees Celsius is 36.6ºC. Therefore, a body temperature of 39ºC is higher than 98ºF, being equivalent to 102.2ºF.
This is verified by applying the conversion formula from Celcius to Fahrenheit:
(39 x 9/5) + 32 = X
39 x 1.8 + 32 = X
70.2 + 32 = X
102.2 = X
Tony can type at a constant rate of 110 words every 2 minutes.
Write an equation for the number of words, W, Tony can type in T minutes.
Answer:
W = 55T
Step-by-step explanation:
He types 110 / 2 = 55 words every minute. Thus, W = 55T
Help Please!!! And can you explain how you got the answer?
Answer:
x=25
y= 64.5
Step-by-step explanation:
When lines are parallel, 2x=2(the number)
But, 2 isn't an angle. However, 50degrees is congruent to 2 since they are verticle angles.
2x=50
x=25
When lines are parallel, 2y+1=1(the number)
But, 1 doesn't have a verticle angle. However, 180-50 would be equal to 1
180-50=2y+1
130=2y+1
129=2y
y= 64.5
What separates the terms in this algebraic expression?
x + 3
HELPP MEEE
Answer:
I believe its the + symbol that separates it?
G**gle confirmed it I was right!!
what is 14/100 as decimal need answers asap!!!
Answer:
0.14 is the answer as it is out of 100
Step-by-step explanation:
14/100
/100 as a decimal= 0.00
14/100 = 0.14
What is the measure of angle L?
What is the length of JL?
What is the length of KL?
Please help
Answer:
53
Step-by-step explanation:
[tex]K+J+L = 180\\90 + 37 + L = 180\\L = 53[/tex]
Please help it says im wrong im giving brainliest
Answer:
ohh
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.
1/5=3/15
HTH :)
Find the arc length of the semicircle. 8
Answer:
π×8² =
201.0619298297
arc length formular = π ×r²
Integers are __________ whole numbers
A. Always
B. Sometimes
C. Always positive
D. Always negative
Paige was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start of round 3 she was at -700 points. During the round she answered eight 400 point questions correct and she answered nine 600 points questions incorrect. What was her score at the end of the round?
Answer:
7900 points
Step-by-step explanation:
Answer:
-2900 points
Step-by-step explanation:
8*400=3200
-700+3200=2500 points
9*600=5400
2500-5400= -2900 points
Math took my sis phone to see if this works pls help!
Answer:
8+3*25, 83,2^3+3*5^2, are all equivalent
Step-by-step explanation:
What is 3 fourths times one half
Answer: 0.375
Step-by-step explanation:
15x+98=105 What is the value of x and please show your work. :)
Answer:
15x+98=105
-98 -98
15x=7
/15 /15
x=7/15
Step-by-step explanation:
x=7/15
find all the real and complex zeros of f(x)=x^3-7x^2+4x-28
Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
An auditorium has 962 seats. There are 37 rows, each with the same number of seats. How many seats are in each row?
Answer:
26 seats in each row.
Step-by-step explanation:
The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?
Answer:
7
Step-by-step explanation:
Area of the value of area
Researchers often enter a lot of data into statistical software programs. The probability of making zero to two errors per 1,000 keystrokes is 0.51, and the probability of making three to five errors per 1,000 keystrokes is 0.25. Find the probabilities (per 1,000 keystrokes) associated with each of the following.
at most 2 errors:
at least 3 errors:
at most 5 errors:
more than 5 errors:
Answer:
at least 3
Step-by-step explanation:
Write 3/5 as a percent. Remember it has to be out of 100 so first make an equivalent fraction with 100 as your bottom number and then you can make it into a percent. Here’s an example: 9/10 = 90/100 = 90%
Answer:
60%
Step-by-step explanation:
3÷5 =
0.6
0.6×100
=60%
the discount price of a hat is $24. whats the regular price
What is the opportunity cost of buying a $.75 soda every school day for three years
Answer:
$405
Step-by-step explanation:
Can sum one help pls I don’t understand
Where is the picture I don't see it
What is n2+5 If n=5?
Is that cube or n just multiply to 2?
Answer:
15
Step-by-step explanation:
n is 5 so 5 times 2 equals 10 and plus 5 it equal 15
Clare subscribes to an online music streaming service
for a yearly fee of $96. Starting next month, there will
be a 12% increase in the fee.
The ad for another music streaming service is shown
below. Should Clare switch? Explain.
Answer:
She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.
Step-by-step explanation:
Cost now+increase$=new cost
(Part=percent*whole)
Increase=percent increase*cost now
i=12%*$96
i=0.12*96=$11.52
$96+11.52=107.52
Service two⬇️
8.72*12=$105
Yes Clare should switch to service 2 because; cheaper it costs only $105 which is lesser than $107.52
How to Calculate Yearly Fee?
To find the new cost, we will use the expression;
New Cost = Present Cost + increase
However,
Increase = percentage increase * present cost
Increase = 12% * $96
Increase = 0.12 * 96
Increase = $11.52
Thus;
New Cost = $96 + 11.52
New Cost = $107.52
For Service two;
We are told that digital streaming costs $8.75 per month. Thus;
Cost = 8.75 * 12
Cost = $105
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Over Fall break, Tory read 5 times as many pages as her brother and sister combined. Tory read 1840 pages and her brother read 200 pages. How many pages did her sister read? Write an equation and solve for the number of pages her sister read.
Answer
368
Step-by-step explanation:
1840÷5=368
Answer:
170,
Step-by-step explanation:
my explanation is commented on the other persons answer