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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The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
Which model represents 2.36 divided by 4?
Answer:
[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]
River otters drink about 5 times as much water as a bald eagle drinks in a day.
How much water can a river otter drink in three days?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
A river otter drinks liters in three days.
Answer:
80
Step-by-step explanation:
You have to multiply .16 times 5, and that gets your answer, 80!
what is 6 to the 8th power simplified??
hurry help me!!
Answer:
[tex]6^{8}[/tex]
Step-by-step explanation:
Di ako sure sa sagot ko.
(I'm not sure with my answer)
i dont smoke cause nobody want the smoke
Answer:
Points Yay Woop Woop
Step-by-step explanation:
Pointsssssss
the discount price of a hat is $24. whats the regular price
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answer:
oof
Step-by-step explanation:
Blouse
The Alphabet
What is the slope to this?
Answer:
hozlatie
Step-by-step explanation:
Instructions: Find the angle measures given the figure is a rhombus.
Please Help!
Answer:
30
Step-by-step explanation:
since this is rhombus 1 2 3 4 must be equal
|NP|=|MN|
so 180-120=60
60/2=30
Answer: All four angles (angle1,2,3,4) are 30 degrees each
===========================================================
Explanation:
A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).
Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.
This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.
Let's find the missing angle
M+N+P = 180 ... angles of a triangle add to 180
M+120+M = 180 ... plug in N = 120, replace P with M
2M+120 = 180
2M = 180-120 ... subtracting 120 from both sides
2M = 60
M = 60/2 .... dividing both sides by 2
M = 30
So N is also 30 degrees
------------------------
We've found that both angle 1 and angle 3 are 30 degrees each.
Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.
Therefore, we can say
angle 1 = angle 4 = 30 degrees
angle 2 = angle 3 = 30 degrees
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
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
Simplify.
8m+4n+7m−2n
17mn
m + 2n
15m + 2n
15m + 6n
Answer:
use math(way)
Step-by-step explanation:
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that exactly 10 buyers would prefer green
Answer:
[tex]P(X=10) = 0.1222[/tex]
Step-by-step explanation:
Represent Green with G
So,
[tex]G = 50\%[/tex]
Required
Determine the probability that 10 out of 16 prefer green
This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.
[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]
In this case:
[tex]n = 16[/tex] -- number of people
[tex]x = 10[/tex] -- those that prefer green
So, the expression becomes:
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]
Substitute 50% for G (Express as decimal)
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]
Apply law of indices
[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]
Solve 16C10
[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]
[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.00001525878[/tex]
[tex]P(X=10) = 0.12219231024[/tex]
[tex]P(X=10) = 0.1222[/tex]
Hence, the required probability is 0.1222
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 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
What is the opportunity cost of buying a $.75 soda every school day for three years
Answer:
$405
Step-by-step explanation:
find the slope. thank
Step-by-step explanation:
7. The two coordinates are (0, 4) and (1, -4).
To find the slope you would need to use the formula [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
[tex]y_{2}[/tex] = (-4), [tex]y_{1}[/tex] = 4
[tex]x_{2}[/tex] = 1, [tex]x_{1}[/tex] = 0
[tex]\frac{(-4)-4}{1-0}[/tex] = [tex]\frac{-8}{1}[/tex] = -8
8. The coordinates, (1, 4) and (0, -2)
(-2) -4 / 0 -1 = -6 / -1 = 6
Sorry for not formatting 8
9. The coordinates (-1, 3) and (4, -1)
(-1) - 3/ 4 - (-1) = -4/ 5
10. The coordinates (1, -1) and (2, -2)
(-2)- (-1) / 2 -1 = -1 / 1 = -1
Hope this helps!!!
3 (x-2)
4x + 8
3x
What’s the expression for the perimeter of the figures shown? (I NEED HELP ASAP)
Answer:
1.3x -6 => 3x = 6 => x = 2
2.4x = -8 => x= -2
3.3x => if 3x = 0 ..x is> 0 too
but if 3x= 1 ..x is 1/3
i h○pe it helps u ...:)
Gabriel lives and works in Michigan, which has a flat state income tax of
4.25%. If his annual salary is $69,255 and he gets paid once a month, how
much is withheld from his gross income for state income tax each pay
period?
Answer:4,050
Step-by-step explanation:
Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.
In the month of Nov Pharoah company inc wrote checks in the amount of$10310. In dec checks in the amount of $ 11785 were written. In Nov $8580 of these checks were presented to the bank for payment, and $10770 in dec
What is the amount of outstanding checks at the end of Nov and at the end of Dec.
Answer:
the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively
Step-by-step explanation:
The computation of the amount of outstanding checks at the closing of Nov and dec is as follows
Particulars November December
Written checks $10,310 $11,785
Less:
Presented checks -$8,580 -$10,770
Outsanding checks $1,730 $1,015
Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively
please please please please
Which of the following terms correctly describe the object below?
Check all that apply.
tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by
Answer:
The answert is "$0.007 / bottle".
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]\to R(x) =7.5x^{0.7}[/tex]
The average income:
[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]
The change rate on the average revenue:
[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]
when 81 bottles were produced , then the rate of change in average revenue
[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]
The average income is decreasing at rate = $0.007 / bottle
If f(x) = 9x -2 and g(x) =-2x?, what is the value of f(4) - 9(4)?
f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,
f(4)- g(4) = 34+8= 42
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answer:
[tex]\displaystyle x = \frac{216}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 6(2x - 2) = 19(x - 12)[/tex]Distribute: [tex]\displaystyle 12x - 12 = 19x - 228[/tex]Isolate x terms: [tex]\displaystyle -12 = 7x - 228[/tex]Isolate x term: [tex]\displaystyle 216 = 7x[/tex]Isolate x: [tex]\displaystyle \frac{216}{7} = x[/tex]Rewrite: [tex]\displaystyle x = \frac{216}{7}[/tex]Answer:
[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]
30.857 is the right answer.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
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 :)
pls help asap no trolls
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
Find the arc length of the semicircle. 8
Answer:
π×8² =
201.0619298297
arc length formular = π ×r²