Answer:
16/81
Step-by-step explanation:

=> 
=> -16/-81
=> 16/81
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These two triangles are not congruent
Answer:
the chance that the population mean will either be less than $1,500 or above $2,100 is 10%
Step-by-step explanation:
We are 90% confident that the true population mean willl be between $1,500 and $2,100
This means that there is a 90% probability that the true population mean will be between $1,500 and $2,100.
So 100-90 = 10% probability that it is outside of this interval, that is, either be less than $1,500 or above $2,100.
So the correct answer is:
the chance that the population mean will either be less than $1,500 or above $2,100 is 10%
Answer:
The actual stage is 42 feet long
Step-by-step explanation:
Step 1
Determine the conversion factor as shown;
1 inch in the drawing represents 3 feet in the actual drawing
To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).
Step 2
Convert 14 inches in the drawing to the actual measurement of the stage as follows;
Actual stage length=drawing length×conversion factor
where;
drawing length=14 inches
conversion factor=3
replacing;
Actual stage length=(14×3)=42 feet
The actual stage is 42 feet long