Answer: OPTION C.
Step-by-step explanation:
It is essential to consider the following:
Dilation:
- A transformation where the image retains the same shape as the original but differs in size.
- Dilation maintains the order of points.
- Measurements of angles remain unchanged.
Translation:
- A transformation that keeps the image identical in size and shape to the original.
- Translation preserves the ordering of points.
- The angle measurements do not change.
Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:
Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.
To determine how many 3/64 gallon servings can be filled from a total of 2/3 gallon of punch, perform the division of 2/3 by 3/64. The outcome is not a whole number, but this method illustrates the solution. Vinny's total is 2/3 of a gallon of punch, with each guest receiving a measure of 3/64 gallon, which tells us how many can be accommodated by performing<span> (2/3) / (3/64).</span>
Answer:
The number of standard deviations above the mean is
Step-by-step explanation:
The question indicates that:
The average weight of the corn ears from each farm is 
The standard deviation for the corn ears from Iowa is 
The standard deviation for the corn ears from Ohio is

A randomly chosen ear of corn from Iowa weighs x = 1.39 pounds
The standardized score is z = 1.645
The weight of a randomly chosen ear of corn from Ohio measures 
In general, the standardized score of corn weight from Iowa can be mathematically defined as:

=>
=>
=>
Conversely, the standardized score of corn weight from Ohio is expressed as:

=>
=>
=>
A positive value indicates this quantity represents the number of standard deviations above the mean.