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Answer: Sample B as it has the smaller sample (choice #4)</h3>
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Explanation:
Recall that the margin of error (MOE) is defined as
MOE = z*s/sqrt(n)
The sample size n is located in the denominator, meaning that as n gets bigger, the MOE gets smaller. The same happens in reverse: as n gets smaller, the MOE gets bigger.
Put another way, a small sample size means we have more error because small samples mean they are less representative of the population at large. The bigger a sample is, the better estimate we will have of the parameter.
We are told that "sample A had a larger sample size" indicating that sample A has a more narrow confidence interval.
Therefore, sample B would have a wider confidence interval.
This is true regardless of what the confidence level is set at.
Answer:
False
Step-by-step explanation:
6*2= 12
So to get common denominators, you would need to divide 5/12 by 2 OF multiply 2/6 by 2
For the sake of ease just multiply 2/6 by 2, this will equal 4/12 NOT 5/12
Hope this helps! :)
Answer:
I don't know if I understand
Answer:
5) 2.444444444444444444444444
Step-by-step explanation:
Answer:
(22/5, 11/5)
Step-by-step explanation:
Gandalf starts walking in the vector v = 4i + 2j, the slope of it must be 2/4 = 1/2.
So, calling the turn point (x,y) it must be in that vector, and the start point (2,1) must also be in this line, so:
slope = Δy/Δx
1/2 = (y - 1)/(x - 2)
2y - 2 = x - 2
2y = x
y = x/2
The line that makes a right angle with another is called perpendicular, and it has its slopes equal to the opposite of the inverse of the slope of the other line, so:
slope = - 2
The point (x,y) also pertences to it, such as the point (3,5), so:
-2 = (y - 5)/(x - 3)
y - 5 = -2x +6
y = -2x + 11
So, the turn point is the point where these two lines meet:
x/2 = -2x + 11
x = -4x + 22
5x = 22
x = 22/5
y = (22/5)/2
y = 22/10 = 11/5
So, the point that he makes the turn is (22/5, 11/5).
