A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

Answer:

The hourly rate for lectures is $7.33

Step-by-step explanation:

* Let's break down how to tackle the problem.

- For the level 3 course, examination hours are priced at double that of workshop hours.

- Workshop hours cost twice the rate of lecture hours.

- The total includes examination, workshop, and lecture hours.

- Examination lasts 3 hours, workshops 24 hours, and lectures 12 hours.

* Let’s denote the cost of lecture hours as $x per hour.

∴ The lectures cost $x per hour.

∵ Workshop charge is twice that of lectures

∴ Workshop hours cost 2(x) = 2x per hour.

∵ Examination fees are double that of workshop hours

∵ The workshop cost is 2x

∴ Examination fees are 2(2x) = 4x per hour.

- Combining costs for level 3 gives us the total of lecture, workshop, and examination hours.

∵ 12 hours for lectures

∵ 24 hours for workshops

∵ 3 hours for examinations

∵ Thus the total cost for level 3 = 12(x) + 24(2x) + 3(4x).

∴ Total cost for level 3 = 12x + 48x + 12x.

∵ Therefore, total cost = $528.

∴ 12x + 48x + 12x = 528.

∴ 72x = 528; hence we divide both sides by 72.

∴ x = 7.33.

∵ x represents the cost of lecture hours per hour.

∴ Therefore, the hourly price for lectures is $7.33.

Answer:

8 servings

Step-by-step explanation:

At a ratio of 15:1, for each serving that uses 75 grams of rice, it will need 75/15 = 5 grams of spice. With David having 40 grams of spice, he can prepare ...

40 g/(5 g/serving) = 8 servings

Answer:

Step-by-step explanation:

We start with the fact that

The formula for simple interest is represented by

where:

I denotes the Final Interest Value

P indicates the Principal amount to be invested

r specifies the interest rate

t refers to the Number of Time Periods

For this scenario, we have

We can substitute these values into the formula mentioned above

Next, we solve for t

Convert to a percentage format

Answer: D) randomized comparative design

Step-by-step explanation:

A randomized comparative design involves comparing two or more treatments and is characterized by an experiment intended to highlight differences between two groups or populations subjected to distinct conditions or treatments. In the scenario described, pre-existing data was juxtaposed with information collected after the alcohol dangers course.