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Crank
2 years ago
12

The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.How many quarters would have to be stacked to reach 575

ft, the height of the Washington Monument?How much would this stack weigh?How much money would this stack contain?How much money would this stack contain?The US National Debt Clock showed the outstanding public debt to be $11,687,233,914,811.11 on August 19, 2009. How many stacks like the one described would be necessary to pay off this debt?
Mathematics
1 answer:
slava [35]2 years ago
7 0
575 ft = 575 · 304.8 = 175,260 mm
Number of the coins ( quarters ) in this stack:
175,260 : 1.55 = 113,071
The weight of this stack:
113,071 · 5.67 g = 651,288.26 g = 651.28896 kg
It contains:
113,071 · $0.25 = $28,267.75
$11,687,233,914,811.11 : $28,267.75 = 413,447,618.4 stacks like one described would be necessary to pay US debt.
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2 years ago
A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl
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There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

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C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

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\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3

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the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

H_0 :  The quarterly growth rate in the number of contracts is not  significantly different from 0% (? = 0.05)

H_a:  The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the   t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

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The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

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