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Taya2010 [7]
1 year ago
12

The weight Wkg of a metal bar varies jointly

Mathematics
1 answer:
maria [59]1 year ago
6 0

Answer:

d = \sqrt{\frac{216W}{35L} }

Step-by-step explanation:

Given that W varies jointly as L and d² then the equation relating them is

W = kLd² ← k is the constant of variation

To find k use the condition W = 140 when d = 4 and L = 54, thus

140 = k × 54 × 4² = 864k ( divide both sides by 864 )

\frac{140}{864} = k , that is

k = \frac{35}{216}

W = \frac{35}{216} Ld² ← equation of variation

Multiply both sides by 216

216W = 35Ld² ( divide both sides by 35L )

\frac{216W}{35L} = d² ( take the square root of both sides )

d = \sqrt{\frac{216W}{35L} }

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1 year ago
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Which score has a higher relative position, a score of 271.2 on a test for which = 240 and , or a score of 63.6 on a test for wh
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Answer:

The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.

Step-by-step explanation:

Standardized score, z = (x - xbar)/s

xbar = mean, s = standard deviation.

For the first test, x = 271.2, xbar = 240, s = 24

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z = (63.6 - 60)/6 = 0.6

The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.

Hope this Helps!!!

3 0
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Rylee took out a loan for $3600 at 13% interest, compounded annually. If she makes yearly payments of $460, will she ever pay of
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Given that Rylee took out a loan for $3600 at 13% interest.

Where interest is compounded annually.


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Monthly payment = 460


So Amount to be paid after 1 year = 4068-460 = 3608


New due amount $3608 is more than the loan amount $3600

Which means loan will always remain due for his entire life.


Hence Rylee will never be able to pay off the loan.

Interest must be less than the monthly payment in order to pay off the loan.

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Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visi
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Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

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