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inna [77]
3 years ago
12

Where must the fulcrum be located if a 300-pound weight and a 450-pound

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:

9 foot.

Step-by-step explanation:

From the question given, we were told that a 300-pound weight and a 450-pound weight are placed on each end of a 15-foot bar.

The diagram illustrating the question can be seen on the attached photo.

Weight 1 (W1) = 300 pound

Weight 2 (W2) = 450 pound.

Distance to which the fulcrum must be placed in order to balance (d1) = x

Distance from the other side of the bar (d2) = 15 – x

W1d1 = W2d2

300 × x = 450 (15 – x)

Clear bracket

300x = 6750 – 450x

Collect like terms

300x + 450x = 6750

750x = 6750

Divide both side by the coefficient of x i.e 750

x = 6750/750

x = 9 foot.

Therefore, the fulcrum must be placed at 9 foot in order to balance the bar.

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Answer:

There is enough evidence not to reject the claim.

Step-by-step explanation:

H0: The population proportion of Americans in favor of cigarette outlawing is 0.23.

Ha: The population proportion of Americans in favor of cigarette outlawing is not 0.23.

Critical value approach

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n is number of Americans sampled = 200

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The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

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For a two-tailed test, the region of no rejection of H0 lies between -1.96 and 1.96

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Answer:

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Step-by-step explanation:

Part a) Create a linear equation

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we know that

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