Answer:
Smallest of the three = 40
Step-by-step explanation:
Consecutive means: x+x+1+x+2 = 123 set X as the smallest number.
x+x+x+1+2=123
3x+3=123
3x= 120
x=40
It will take him 182 because when you divide 2175 by12 u get 181.25 and you have to add a day for the point .25
Answer:
The correct answer is - 3, 4, and 5.
Step-by-step explanation:
Given:
distance = 5 miles
time to cover 5 miles = 10 minutes
If his claim is true then,
additional Distance = 15 miles
total distance will be = 15+5 = 20 miles
additional time = 30 minutes
total time = 10+30 = 40 minutes
Solution:
The speed of the vehicle can be calculated by the formula:
V = d/t
where V is speed or velocity
d = distance
t = time
Putting the final or total values in formula =
V = 20/40
= 1/2 (5th statement is true)
In an hour where 60 minutes are there, 1/2 = 30 miles per hour.
Thus, 3rd and 4th statement are true.
Part A
Answers:
Mean = 5.7
Standard Deviation = 0.046
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The mean is given to us, which was 5.7, so there's no need to do any work there.
To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
So, we get s/sqrt(n) = 0.26/sqrt(32) = 0.0459619 which rounds to 0.046
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Part B
The 95% confidence interval is roughly (3.73, 7.67)
The margin of error expression is z*s/sqrt(n)
The interpretation is that if we generated 100 confidence intervals, then roughly 95% of them will have the mean between 3.73 and 7.67
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At 95% confidence, the critical value is z = 1.96 approximately
ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949
The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
L = 5.7-1.974949
L = 3.725051
L = 3.73
and
U = xbar+ME
U = 5.7+1.974949
U = 7.674949
U = 7.67
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Part C
Confidence interval is (5.99, 6.21)
Margin of Error expression is z*s/sqrt(n)
If we generate 100 intervals, then roughly 95 of them will have the mean between 5.99 and 6.21. We are 95% confident that the mean is between those values.
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At 95% confidence, the critical value is z = 1.96 approximately
ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*0.34/sqrt(34)
ME = 0.114286657
The margin of error is roughly 0.114286657
L = lower limit
L = xbar-ME
L = 6.1-0.114286657
L = 5.985713343
L = 5.99
U = upper limit
U = xbar+ME
U = 6.1+0.114286657
U = 6.214286657
U = 6.21
