An online dating service is trying to determine how to allocate funds for advertising. The manager decides to advertise on the radio and through internet ads. Previous experience with such advertising leads the dating service to expect f(r, n) = 0.8r2n responses when r ads are run on the radio and n internet ads are run. Check: f(10,30)=2400 Each ad on the radio costs $144, and each internet ad costs $72 and the dating service has budgeted $7344 for advertising, so the advertising constraint is g(r, n) = 144r+72n=7344 dollars. (a) Choose the system of equations that could be used to find the optimal number of responses subject to the advertising constraint. 1.6rn = 1442 1.6rn = 0 1.6rn + 144i = 0 1.6rn = i 0.82 = 721 O 0.812 = 0 0.82 + 721 = o O 0.82 = 2 144r + 72n = 7344 144r + 72n = 7344 144r + 72n = 7344 144r + 72n = 7344

Q: f ​P(E)=0.60​, ​P(E or ​F)=0.65​, and​ P(E and ​F)=0.10​, find​ P(F).

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Q: If ​P(E)=0.55​, ​P(E or ​F)=0.70​, and​ P(E and ​F)=0.20​, find​ P(F).

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A:

Q: You want to estimate how many fish there are in a small pond.  Let's suppose that you first capture…

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.