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Igoryamba
15 days ago
15

Cual es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de 1140

Mathematics
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Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
AnnZ [12381]

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.

6 0
2 months ago
Read 2 more answers
Vinny is serving punch to guests at a party. He has 2/3 of a gallon of punch, and he pours 3/64 of a gallon into each guest's cu
PIT_PIT [12445]
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>
7 0
2 months ago
Read 2 more answers
A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn w
Zina [12379]

Answer:

The number of standard deviations above the mean is z_o   = 1.4607

Step-by-step explanation:

The question indicates that:

   The average weight of the corn ears from each farm is \mu=1.26

   The standard deviation for the corn ears from Iowa is \sigma_1

   The standard deviation for the corn ears from Ohio is

     \sigma_2= 0.01 + \sigma_1

     

  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  x_1 =  1.39\ pound

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

        z  =  \frac{ 1.39 -  1.26 }{\sigma_1 }

=>     1.645 =  \frac{ 1.39 -  1.26 }{\sigma_1 }  

=>      \sigma_1 =  \frac{ 1.39 -  1.26 }{ 1.64 5}  

=>      \sigma_1  =   0.0790  

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

         z_o  =  \frac{ 1.39 -  1.26 }{\sigma_2 }

=>     z_o=  \frac{ 1.39 -  1.26 }{0.01 + \sigma_1 }  

=>      z_o =  \frac{ 1.39 -  1.26 }{  0.089}  

=>      z_o   = 1.4607

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

4 0
3 months ago
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