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Tanya [424]
3 years ago
12

A manufacturer of household washing machines wants to determine the effectiveness of the type of detergent used (three brands –

A, B, and C) and the length of time for the washing cycle (18, 20, and 22 minutes). The manufacturer prepared 18 standard household laundry loads (having equal amounts of dirt and the same total weight) to conduct the study. The manufacturer randomly assigned two loads to each type of detergent, time combination. The researcher recorded the amount of dirt removed. Use a 5% significance level, for all hypothesis tests and confidence intervals. What is the alternative hypothesis for testing the interaction?
Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

Two-Factor ANOVA with replication

Step-by-step explanation:

Types of detergent used ( A,B,C ) = 3

Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins

number of laundry loads = 18

significance level = 5%

The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0
3 years ago
Why is the answer for letter b 9?
gulaghasi [49]

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).

Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.

For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.

7 0
2 years ago
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What is the missing angle measurement in the polygon shown below?
Zinaida [17]

Answer:

155 degrees

Step-by-step explanation:

Every 4 angled shape will equal 360

45+130+30+x=360

205+x=360

155=360

6 0
2 years ago
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Need help with this question, if you don’t know it don’t answer it please
Lerok [7]

Answer:

54

Step-by-step explanation:

9 x 3 x 2 = 54

7 0
3 years ago
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A tree farm is building a greenhouse. Use the diagram to find the volume of the<br> greenhouse
attashe74 [19]

Answer:

What diagram?

Step-by-step explanation:

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3 years ago
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