Expand the expression -11(30 – 2d) using the Distributive Property.
2 answers:
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Answer:
Step-by-step explanation:
The confidence interval estimate for the population mean is given by :-
, where
is the sample mean and ME is the margin of error.
Given : Sample mean:
The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution :
Now, the confidence interval estimate for the population mean will be :-
Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
