Aaron rides his bike at a constant rate of 10 miles per hour. Which table represents y, the number of miles Aaron rides his bike
in x hours?
Number of hours, x Number of miles, y
0.5 10
1 10
1.5 10
2 10
2.5 10
Number of hours, x Number of miles, y
0.5 10
1 20
1.5 30
2 40
2.5 50
Number of hours, x Number of miles, y
0.5 5
1 10
1.5 15
2 20
2.5 25
Number of hours, x Number of miles, y
0.5 10.5
1 11
1.5 11.5
2 12
2.5 12.5
Number of hours, x Number of miles, y
0.5 10
1 10
1.5 10
2 10
2.5 10
Number of hours, x Number of miles, y
0.5 10
1 20
1.5 30
2 40
2.5 50
Number of hours, x Number of miles, y
0.5 5
1 10
1.5 15
2 20
2.5 25
Number of hours, x Number of miles, y
0.5 10.5
1 11
1.5 11.5
2 12
2.5 12.5
2 answers:
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Answer:
The probability of the sample mean foot length less than 23 cm is 0.120
Step-by-step explanation:
* Lets explain the information in the problem
- The eighth-graders asked to measure the length of their right foot at
the beginning of the school year, as part of a science project
- The foot length is approximately Normally distributed, with a mean of
23.4 cm
∴ μ = 23.4 cm
- The standard deviation of 1.7
∴ σ = 1.7 cm
- 25 eighth-graders from this population are randomly selected
∴ n = 25
- To find the probability of the sample mean foot length less than 23
∴ The sample mean x = 23, find the standard deviation σx
- The rule to find σx is σx = σ/√n
∵ σ = 1.7 and n = 25
∴ σx = 1.7/√25 = 1.7/5 = 0.34
- Now lets find the z-score using the rule z-score = (x - μ)/σx
∵ x = 23 , μ = 23.4 , σx = 0.34
∴ z-score = (23 - 23.4)/0.34 = -1.17647 ≅ -1.18
- Use the table of the normal distribution to find P(x < 23)
- We will search in the raw of -1.1 and look to the column of 0.08
∴ P(X < 23) = 0.119 ≅ 0.120
* The probability of the sample mean foot length less than 23 cm is 0.120
