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
Take the equations and solve them. they should lead up to degrees. Then add those degrees together and subtract that answer by 360 degrees and that should be your answer.
Hope this helps
Answer:
B. The change in the total amount if money for every one additional ride she goes on
Step-by-step explanation:
Given,
y = 26 + 1.5x, where,
y = total amount of money Eva will spend
x = number of rides Eva rides on
Thus,
Set price of admission into the amusement park = $26
Price per ride = $1.5
Therefore, the 1.5 I'm the equation can be said to be "the change in the total amount if money for every one additional ride she goes on".
Answer:
(c).
Step-by-step explanation:
h(t) = - 16 t² + 80 t
Coordinates of the vertex are:
<em>t</em> = - 
= 
= <em>2.5 sec. </em>
<em>h</em> = - 16(2.5)² + 80(2.5) = - 100 + 200 = <em>100 ft</em>.
Answer:
x=10
Step-by-step explanation:
So, we got our equation:
We'll multiply both sides by 2 to get rid of that fraction.
x+4=14
Then, we just subtract 4 from both sides.
x=10
