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.
Answer:
Expiration Date: 1/17/2017
Expiration Time: 4:00am
Preparation Date: 12/3/2016
Preparation Time: 4:00am
Initial Usage Date: 12/7/2016
Detailed Breakdown:
An illustrative depiction of the question has been provided in an image format for clarity.
From the information given, it is noted that her store order arrived on 12/3/2016 at 4am, confirming that both the prep date and time are 12/3/2016 and 4am respectively. The product has a printed expiration date of 1/17/2017, logically indicating that its expiration time is also 4am, in line with the prep time; adding 24 hours leads us back to the same time on the expiration date. Furthermore, we were informed that she utilized the product on 12/7/2016, which marks the initial use date. Based on this information, we can summarize as follows:
Expiration Date: 1/17/2017
Expiration Time: 4:00am
Preparation Date: 12/3/2016
Preparation Time: 4:00am
Initial Usage Date: 12/7/2016
Answer:
Approximately 59 stacked cups.
Step-by-step explanation:
We have the following measurements:
Height of one cup = 12.5 cm,
Height of two cups stacked = 14 cm,
Height of three cups stacked = 15.5 cm,
...and so on.
This situation can be described by an arithmetic sequence,
12.5, 14, 15.5,....
The first term is defined as a = 12.5,
with a common difference of d = 1.5 cm.
Thus, the height of x stacked cups is given by
As per the problem,
h(x) = 200
⇒ 1.5x + 11 = 200
⇒ 1.5x = 189
⇒ x = 59.3333333333 ≈ 59.
Therefore, you will need approximately 59 stacked cups.