I NEED HELP REALLY BAD
5.
Directions: Select all the correct answers.
Nancy is studying constellations in science class. Two things are strongly supported by all random samples of the number of stars in a constellation. Most constellations have from three to seven stars in them, and very few constellations have more than nine stars in them.
Which of the following could be random samples of the number of stars in a constellation?
5, 6, 14, 3, 11, 2, 12, 9, 10, 9, 3, 2, 8, 11, 2
12, 6, 5, 3, 14, 4, 10, 7, 6, 11, 3, 5, 4, 11, 3
2, 7, 3, 7, 9, 3, 10, 3, 6, 5, 3, 7, 2, 5, 8
2, 6, 8, 3, 7, 9, 4, 9, 8, 7, 3, 2, 8, 11, 3
14, 6, 5, 3, 7, 2, 4, 9, 6, 7, 3, 6, 5, 11, 3
2, 7, 3, 7, 9, 3, 10, 3, 6, 5, 3, 7, 2, 5, 8
14, 6, 5, 3, 7, 2, 4, 9, 6, 7, 3, 6, 5, 11, 3
Hmm, let me analyze these options.
The first option seems to have a great variety of numbers, including a random 14 and 11. This constellation must be quite the star-studded event!
The second option also has a decent mix, with a range of numbers from 3 to 14. It definitely seems like a possibility.
The third option seems to have a consistent pattern of 3's, 5's, and 7's. It's like a constellation with some favorites!
The fourth option has a similar pattern to the third one, with some larger numbers thrown in. Looks like a constellation that likes to mix it up a bit!
Lastly, the fifth option has a repetitive pattern of 3, 5, 6, and 7. It's like a beat that never ends!
So, based on Nancy's observations, I would say that options 2, 3, and 4 could potentially be random samples of the number of stars in a constellation. But remember, even the stars can have a sense of humor sometimes!
To determine which of the given options could be random samples of the number of stars in a constellation, we need to consider the given information that most constellations have from three to seven stars, and very few constellations have more than nine stars.
Let's analyze each option given:
1) 5, 6, 14, 3, 11, 2, 12, 9, 10, 9, 3, 2, 8, 11, 2
This option includes numbers like 14 and 12, which are more than nine, so it does not meet the requirement. Also, it includes numbers like 2 and 3, which are within the range, so it partially meets the requirement.
2) 12, 6, 5, 3, 14, 4, 10, 7, 6, 11, 3, 5, 4, 11, 3
Similar to the previous option, this option includes the number 14, which exceeds the limit of stars in a constellation. Additionally, it includes numbers like 3, 4, 5, 6, and 7, which are within the range of three to seven stars.
3) 2, 7, 3, 7, 9, 3, 10, 3, 6, 5, 3, 7, 2, 5, 8
In this option, the numbers 9 and 10 exceed the limit of stars in a constellation. However, it does include numbers like 2, 3, 5, 6, and 7, which fall within the range.
4) 2, 6, 8, 3, 7, 9, 4, 9, 8, 7, 3, 2, 8, 11, 3
This option includes the numbers 9 and 11, which are over the limit. It also includes numbers like 2, 3, 4, 6, 7, and 8, which are within the range.
5) 14, 6, 5, 3, 7, 2, 4, 9, 6, 7, 3, 6, 5, 11, 3
Once again, the number 14 exceeds the limit of stars in a constellation. However, it does include the numbers 2, 3, 4, 5, 6, 7, 9, and 11 that fall within the range.
Based on the given information, the second option (12, 6, 5, 3, 14, 4, 10, 7, 6, 11, 3, 5, 4, 11, 3) and the fourth option (2, 6, 8, 3, 7, 9, 4, 9, 8, 7, 3, 2, 8, 11, 3) could be random samples of the number of stars in a constellation.