A student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.16666....what fraction can
2 answers:
Answer:
Step-by-step explanation:
0.16666 can be written as
write the numerator and denominator as the product of their prime numbers
and divide the common numbers. Thus, it can be further reduced to
The gravity of moon is about times the gravity of the Earth due to which the weight of the astronauts on the moon can be found by multiplying by the decimal 0.16666.. or
.
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Answer:
(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:
<u>Stem</u> <u> Leaf </u>
0 2 2 2 3 3 4 5 7
1 0 2 3 5 5 8
2 0 3 5
3 0 3
4 0 5 7
5 0 5 6 9
6 0 0 0 5
(b) Relative frequency distribution.
Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.
Length of life Absolute Frequency Relative Frequency % Relative Freq.
0.2 3 0.1 10
0.3 2 0.07 7
0.4 1 0.03 3
0.5 1 0.03 3
0.7 1 0.03 3
1.0 1 0.03 3
1.2 1 0.03 3
1.3 1 0.03 3
1.5 2 0.07 7
1.8 1 0.03 3
2.0 1 0.03 3
2.3 1 0.03 3
2.5 1 0.03 3
3.0 1 0.03 3
3.3 1 0.03 3
4.0 1 0.03 3
4.5 1 0.03 3
4.7 1 0.03 3
5.0 1 0.03 3
5.5 1 0.03 3
5.6 1 0.03 3
5.9 1 0.03 3
6.0 3 0.10 10
6.5 1 0.03 3
Total 30
(c)
To calculate the sample mean we need to sum all number, which results: 83.9. Then, we divide this result to the total 30, which result: 2.80.
The sample range is the difference between the highest and the lowest value: 6.5 - 0.2 = 6.3.
The sample standard deviation is calculated trough the following process:
Step 1: Subtract the mean from each number.
Step 2: Square each result.
Step 3: Add the squared deviations.
Step 4: Divide the sum by one less the total.
Step 5: Take the square root, and there you have it.
Doing this steps, the result is 2.22.
This last process is attached:
