Answer:
a) margin of error ME = 5.77
b) Margin of error becomes smaller
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
x+/-ME
Where margin of error ME = zr/√n
a)
Given that;
Mean = x
Standard deviation r = 25
Number of samples n = 72
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
ME = 1.96(25/√72)
ME = 1.96(2.946278254943)
ME = 5.774705379690
ME = 5.77
b)
For n = 89
ME = 1.96(25/√89)
ME = 1.96(2.649994700015)
ME = 5.193989612031
ME = 5.19
5.19 is smaller than 5.77 in a) above. So,
Margin of error becomes smaller
Answer:
x=-1 y= -5
Step-by-step explanation:
y = – x – 6
y = x – 4
Substitute into y = -x-6 into the second equation
y =x-4
-x-6 = x-4
Add x to each side
-x-6+x =x-4+x
-6 =2x-4
Add 4 to each side
-6+4 =2x-4+4
-2 = 2x
Divide by 2
-2/2 =2x/2
-1 = x
Now find y
y =-x-6
y = -(-1) -6
y =1-6
y = -5
You are correct. The answer is choice B.
The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.
Answer:
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Answer:c
Step-by-step explanation:
