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AlladinOne [14]
3 years ago
9

A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjecte

d 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.
Mathematics
2 answers:
lina2011 [118]3 years ago
7 0

Answer:

b

Step-by-step explanation:

bc

sergiy2304 [10]3 years ago
4 0

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.

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The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po
sladkih [1.3K]

Answer:

\displaystyle C=\left(\frac{26}{9}, 2\right)

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

\displaystyle \frac{dy}{dx}=3x^2-3

Point A has an <em>x-</em>coordinate of -1. Hence, the slope of its tangent line is:

\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0

Find the <em>y-</em>coordinate of Point A using the original equation:

y(-1)=(-1)^3-3(-1)=2

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

y-2=0(x-(-1))

Simplify:

y=2

Point B has an <em>x-</em>coordinate of 4. Hence, the slope of its tangent line is:

\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45

Find the <em>y-</em>coordinate of Point B:

y(4)=(4)^3-3(4)=52

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

y-52=45(x-4)

Simplify:

y=45x-128

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for <em>x: </em>

2=45x-128

We acquire:

\displaystyle x=\frac{26}{9}

Since one of our equations is <em>y</em> = 2, the <em>y-</em>coordinate is 2.

Hence, Point C is:

\displaystyle C=\left(\frac{26}{9}, 2\right)

5 0
3 years ago
Read 2 more answers
Two physics students are doing a side competition during a game of bowling, seeing who can toss a ball with the larger momentum.
dem82 [27]

Answer:

she should beat a speed of  v₂ = 6.04 m/s in order to win the competition

Step-by-step explanation:

Since the momentum p is defined as

p = m*v

where

m= mass of the ball

v= velocity of the ball

denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler

p₂=p₁

therefore

m₁*v₁ = m₂*v₂

v₂ = v₁ * (m₁/m₂)

replacing values

v₂ = v₁ * (m₁/m₂) =8.6 m/s * (4.5 kg/6.4 kg ball) = 6.04 m/s

then since the momentum p = m*v increases with increasing v (at constant m)  , she should beat a speed of  v₂ = 6.04 m/s in order to win the competition

6 0
3 years ago
Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!​
ki77a [65]

Answer:

A and F

Step-by-step explanation:

first figure out the slope.

4-(-5)/2-(-3)= 9/5

slope: 9/5

y-y1=m(x-x1)

you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.

C, D, E all have negative slopes so it is wrong.

B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.

A & F fit the solution.

8 0
3 years ago
What is mythology and therefore why is it important?​
Mrrafil [7]

Answer:

mythology is important for both individualistic and collective reasons. On an individual level, mythology could teach moral or human truths, whereas on a collective level mythology could be used to keep people in touch with their origins. Mythological stories could then be used to teach children values such as hard work, diligence and obedience.

Step-by-step explanation:

6 0
3 years ago
Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as man
Kipish [7]
39393939/5555 = 7091.61 so each gets 7091 carrots.
There will be 3434 carrots left over
8 0
3 years ago
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