Final answer:
The equation to solve the number of messages sent by Christine, Bob, and Abdul does not match the provided options, indicating an error in the question details or options. Additionally, the text message statistics indicate an average rate of 1.7292 messages per hour for a user.
thus, the correct option is A).
Step-by-step explanation:
How Many Messages Did Each Person Send?
To find out how many messages Christine, Bob, and Abdul sent, we need to first set up an equation based on the information given:
- Christine sent 7 fewer messages than Bob.
- Abdul sent 2 times as many messages as Bob.
- Together, they sent a total of 81 messages.
Let's represent the number of messages Bob sent as B. Then Christine sent B - 7 messages, and Abdul sent 2B messages. The total number of messages sent by all three is thus B + (B - 7) + 2B = 81. Solving this equation:
- B + B - 7 + 2B = 81
- 4B - 7 = 81
- 4B = 81 + 7
- 4B = 88
- B = 22
Bob sent 22 messages, Christine sent 22 - 7 = 15 messages, and Abdul sent 2 * 22 = 44 messages. However, these numbers do not match any of the options given in the question, which suggests there might be an error in the question or in the options provided.
Text Message Statistics
The given supplementary information suggests that a text message user receives or sends an average of 41.5 text messages per day. To find out how many this is per hour, we divide by 24 (the number of hours in a day):
41.5 messages/day ÷ 24 hours/day ≈ 1.7292 messages/hour
Since this is an average, calculating the probability that a user sends or receives exactly two messages in any given hour or more than two would require knowledge of the distribution of messages sent per hour, which is not provided. Therefore, we cannot determine the probabilities without additional information.
The complete question is: content loaded
Christine, Bob, and Abdul sent a total of 81 text messages during the weekend. Christine sent 7 fewer messages than Bob. Abdul sent 2 times as many messages as Bob. How many messages did they each send?
a) Christine: 22, Bob: 29, Abdul: 30
b) Christine: 21, Bob: 28, Abdul: 32
c) Christine: 20, Bob: 27, Abdul: 34
d) Christine: 19, Bob: 26, Abdul: 36 is: