Write the expression in simplest form
2 answers:
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Answer:
7, 14, 19, 18, 4, 16, 5, 11, 11, 12
Explanation:
The standard deviation is a statistic that measures the spread of a dataset relative to its mean.
From the given options, find the range in each of them:
• Option 1: Range = 26-22=4
,• Option 2: Range=14-10=4
,• Option 3: Range=18-14=4
,• Option 4: Range = 25-21=4
,• Option 5: Range = 19-4=15
We see that the dataset in Option 5 has a far greater range and thus the dataset will have the biggest spread relative to its mean.
Option 5 has the largest standard deviation.
Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
- Two numbers that can be repeated chosen from a set of 10 numbers, thus, in total, there are
outcomes.
For a sum <u>no greater than 10</u>, we have that:
- 0 can be added with all the 10 numbers, as can 1.
- 2 can be added with 9 of them, bar 9.
- 3 can be added with 8 of them.
- 4 can be added with 7 of them.
- 5 can be added with 6 of them.
- 6 can be added with 5 numbers, 7 with 4, 8 with 3, and 9 with 2.
Hence, the number of desired outcomes is:
The probability is:
0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
A similar problem is given at brainly.com/question/25401798
For this case we have the following expression:
We apply distributive property:
We rewrite in equivalent form:
Answer: