The graph shows the linear relationship between the height of a plant (in centimeters) and the time (in weeks) that the plant ha

By doing the necessary calculations, we can derive this probability through the following method: Step-by-step explanation: Let X be the random variable indicating the weights of a certain population; in this case, it follows a distribution described as: We are interested in determining this probability and can employ the z-score formula to achieve that.

Answer:

D. R(x) = 850x +9600

Detailed explanation:

Selling 10 additional machines increased revenue from $18100 to $26600, which reflects an increase of...

... $26,600 minus $18,100 equals $8,500

This indicates that revenue rose by $8500 divided by 10, which equals $850 per machine.

Only one option contains this value:

... D. R(x) = 850x+9600

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Verification

R(10) = 850·10 +9600 = 8500 +9600 = 18,100.... Correct

R(20) = 850·20 +9600 = 17000 +9600 = 26,600.... Correct

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Comments on choice selection

In multiple-choice scenarios, it's often not required to solve the entire problem accurately. Generally, it's enough to identify the single number that distinguishes the correct from the incorrect options.

In reality, problems are seldom multiple-choice. One must go through the process thoroughly and determine whether the answer is accurate.

Here, we delved deep enough to find the slope, representing the revenue gain when one unit increase in sales occurs. Different methods can determine the intercept. One such method is to identify the value that aligns revenue with one of the "x" values:

... R(10) = 850·10 +b = 18100

... b = 18100 -8500 = 9600

therefore...

... R(x) = 850x +9600

We can verify this answer by calculating R(20) as shown previously.

The expression in question is:

f(x) = x³ – 2x² – x + 2

To determine the roots, follow these steps:

1. Set the equation to zero:

0 = x³ – 2x² – x + 2

2. Factor the equation to get:

(x-2)(x-1)(x+1) = 0

3. The roots can be identified as follows:

x1 = -1
x2 = 1
x3 = 2

1 1/5 is the solution.

Answer How much of a 20% acid solution should be blended with 30 liters of a 50% acid solution in order to achieve a 40% solution.... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That totals 18 liters of pure acid, resulting in a final mixture of 45 liters which contains 0.45 pure acid=18 liters.

Step-by-step explanation: