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Elena-2011 [213]
3 years ago
14

The length of a rectangular air filter is 33 inches less than twice the width. find the length and width of the filter if the ar

ea is 464464 square inches.
Mathematics
1 answer:
Karolina [17]3 years ago
8 0
L=2W-33, A=LW, and A=464464 so

464464=(2W-33)W

464464=2W^2-33W

2W^2-33W-464464=0

W=(33(+-)(3716801)^(1/2))/4

W=490.23in (approx)

L=2W-33=947.45in


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Hey there!

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It takes Janelle four hours to drive to New York. If New York is 240 miles from Boston, what is Janelle’s speed per hour?
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mph=miles/hours

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3 years ago
Leena loves peanut butter. today, she ate four tablespoons of it. if there are 6 mg of vitamin e in four tablespoons of peanut b
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<span>First, we need to know that the current recommended daily allowance of Vitamin E is 15 milligrams. If Leena ate four tablespoons of peanut butter, thus receiving only 6 milligrams, then we can determine the percentage by first dividing 100 into 15 parts (which gives us 6.66), and then multiply that answer by 6 (6 x 6.66), which gives us precisely 40. Thus, the answer is 40 percent.</span>
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3 years ago
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a norma
kotegsom [21]

Answer:

Test statistic = 3.1587

Step-by-step explanation:

We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).

Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.

So, Null Hypothesis, H_0 : \mu = 0.8 { claim of 0.8 A is not low}

Alternate Hypothesis, H_1 : \mu > 0.8 { claim of 0.8 A is too low}

Now, the test statistics used here will be;

           T.S. = \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 1.20 A

                 s = sample standard deviation = 0.42 A

                 n = sample size = 11 motors

So, Test statistics = \frac{1.20 - 0.8}{\frac{0.42}{\sqrt{11} } } ~ t_1_0

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At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .

Therefore, we conclude that Toy-lot claim of 0.8 A is too low.

8 0
4 years ago
Sales tax in Reagan County is 7.5% on all purchases. Calculate the sales tax on the following purchase totals (round answers to
Gre4nikov [31]

Answer:

  (a) $1.92

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Step-by-step explanation:

The tax is the product of the tax rate (7.5%) and the taxed amount.

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<h3>(a)</h3>

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<h3>(b)</h3>

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<h3>(c)</h3>

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It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.

7 0
2 years ago
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