Rebecca of Mass 50 Kg and Robert of Mass 60

question 62

Multiple Choice

Rebecca of mass 50 kg and Robert of mass 60 kg are initially at rest on a frictionless frozen lake.Robert throws a book of mass 0.50 kg at Rebecca with 20 m/s relative to the ice.Rebecca catches the book.Assuming the book is traveling horizontally,their final speeds are

• A)V_Reb = 12.0 m/s,V_Rob = 17.0 m/s.
• B)V_Reb = 1.51 m/s,V_Rob = 4.17 m/s.
• C)V_Reb = 0.20 m/s,V_Rob = 0.17 m/s.
• D)V_Reb = 0.12 m/s,V_Rob = 6.17 m/s.

Grasp the concept of independence between two variables and how it's determined using probability distributions.

Compute expected values (E) for specific random variables given their probability distributions.

Understand and calculate the variance (V) and standard deviation of random variables and how they reflect the data's spread.

Know how to calculate and interpret the covariance and correlation between two variables, indicating their relationship.

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Definitions:

Marketing Loan Program

A federal farm subsidy under which certain farmers can receive a loan (on a per-unit-of-output basis) to plant a crop and then, depending on the harvest price of the crop, either pay back the loan with interest or keep the loan proceeds while forfeiting their harvested crop to the lender.

Food, Conservation, and Energy Act

A comprehensive U.S. law enacted periodically that covers a wide range of agricultural and food programs, including farm subsidies, nutrition assistance, and land conservation efforts.

Crop Price

The amount of money that farmers receive for the agricultural products they produce, which can vary based on supply and demand.

Loan Price

The total cost associated with borrowing money, which includes the interest rate and any other fees or charges.