My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended.

Detailed explanation:

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Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.

The angle C calculates to 180-53-17=110°

Thus, we have 27/sin53=b/sin17=c/sin110

This leads to b=27sin17/sin53, c=27sin110/sin53

The perimeter is defined as a+b+c, so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units (rounded to the nearest hundredth of a unit)

Answer:

Step-by-step explanation:

To establish independence between two events, we must understand the concept of independence:

Events are deemed independent if , which means that the occurrence of one does not influence the probability of the other event.

In this situation, the only selection that aligns with the independence criterion is . Other options do not comply with the independent events definition.

Response: Yes, it is

Detailed explanation:

Since the average scores of both sets of students vary, evaluating the mean score in relation to their class will clarify which class supports or contradicts the professor's research

Response:

m(n) = 60000

Amount = 60000/n

Step-by-step breakdown:

Provided

Budget = 60000

Solving part (a) as a function mn

To achieve this, simply substitute m(n) for the budget amount.

This results in;

m(n) = 60000

Solving part (b) for the amount each committee is allocated.

Given that the budget will be evenly split.

Amount = m(n)/n

Replace m(n) with 60000

Amount = 60000/n