Georgina wants to have shirts made for her basketball team's tournament. The tables show the costs, in dollars, of buying differ

Answer:

1/6 ton of fish is provided during the night feeding.

Step-by-step explanation:

The fish consumed in the morning is tons, and the amount of fish served in the afternoon is greater than in the morning. This means

Let’s represent the quantity of fish given at night as , and if the total fish fed throughout the day equals , we have

By summing the numerators on the left side, we derive:

and subtracting from both sides allows us to isolate

Since , we derive

The common denominator for the fractions is 6; hence, we write the equation in the form

and simplifying the numerators results in:

which indicates the amount of tons fed during the night feeding.

The price for 3 sandwiches amounts to $18. Since the cost, c, of a ham sandwich directly correlates with the quantity, n, and is told that c equals $54 for 9 sandwiches, the cost per sandwich is $6. Multiplying $6 by 3 gives a total of $18.

A) The independent variable in this scenario is the quantity of books purchased. C) The overall cost for the year hinges on the number of books obtained. E) The output of this function is the total yearly cost.

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The score and corresponding probabilities are shown in the following table:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Let us define

X = Miguel's score on the Water Hole

The expected value of the variable X can be represented as:

where

represents the different possible outcomes of X

denotes the associated probabilities

Accordingly, the expected value of Miguel's score is calculated as follows:

2)

Here, we will again consider:

X = Miguel's score on the Water Hole

In this case:

- For a successful long hit, the expected value of X is

- Conversely, if the long hit isn't successful, the expected value of X becomes

We also know that the likelihood of succeeding with a long hit is

Consequently, the chance of failure in a long hit is

Thus, the expected value of X when opting for the long hit strategy is:

In the first part of this question, we calculated the expected value using the short hit strategy, yielding:

Given that the expected value for X is smaller (which is better) when utilizing the short hit option, we can conclude that this approach is superior.

20*117.98 + 20*124.32 = $4846.00 

<span>$4846.00*1.02 = $4942.92 </span>

<span>40*128.48 = $5139.20 </span>

<span>0.02*5139.20 = $102.78 </span>

<span>$5139.20 - $102.78 = $5036.42 </span>

<span>$5036.42 - $4942.92 = $93.50, 
Thus, the result is (B)</span>