The actual length of a machine is 12.25cm , the measured length 12.2cm find the Absolute error .
1 answer:
Answer:
Absolute error is 0.05 cm.
Step-by-step explanation:
Given:
Actual length = 12.25 cm
Measured length = 12.2 cm
We need to find Absolute error.
Solution:
Now we can say that;
Absolute error is equal to measured length minus Actual actual.
framing in equation form we get;
Absolute error =
Hence Absolute error is 0.05 cm.
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Answer:
An equation in slope-intercept form of the line will be
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the points
- (-1, -1)
- (1, 0)
Finding the slope between (-1,-1) and (1,0)
substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept
Add 1/2 to both sides
substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation
Therefore, an equation in slope-intercept form of the line will be
Answer:
68% of the rates are expected to be betwen 0.718 and 0.762
95% of the rates are expected to be betwen 0.696 and 0.784
99.7% of the rates are expected to be betwen 0.674 and 0.806
Step-by-step explanation:
Check for conditions
For this case in order to use the normal distribution for this case or the 68-95-99.7% rule we need to satisfy 3 conditions:
a) Independence : we assume that the random sample of 400 students each student is independent from the other.
b) 10% condition: We assume that the sample size on this case 400 is less than 10% of the real population size.
c) np= 400*0.74= 296>10
n(1-p) = 400*(1-0.74)=104>10
So then we have all the conditions satisfied.
Solution to the problem
For this case we know that the distribution for the population proportion is given by:
So then:
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
68% of the rates are expected to be betwen 0.718 and 0.762
95% of the rates are expected to be betwen 0.696 and 0.784
99.7% of the rates are expected to be betwen 0.674 and 0.806