Intro paragraph for the book 13 and the story in the book if you kiss a boy
2 answers:
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The probability that the sample mean would differ from the population mean by less than 655 miles in a sample of 79 tires if the manager is correct is = 0.9805.
<h3>What is the calculation for the above?</h3>
P ( < 655) ≡ P [ |(
- μ)/√(σ²/n) | <655/√(6,220,036/ 79)]
= P (| Z | < 3.55)
= P - 3.55 < Z < 3.55) Using the z -score table
= 0.9998 - 0.0193
= 0.9805
Learn more about sample mean at:
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<h2>Right answer: I and II only </h2>
If we already have the formula to find how temperature measured in degrees Fahrenheit, relates to a temperature in degres Celsius:
(1)
We can know the formula to find how temperature measured in degrees Celsius, relates to a temperature in degres Fahrenheit, only by isolating F:
(2)
Having both formulas, let’s begin:
I) If we want to prove that a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius:
Beginning with :
This means:
Now we are going to increase 1 degree Farenheit. In other words, we are going to use :
This means:
Calculating the difference between and
:
>>>>This is equal to 5/9 degree Celsius, hence is correct
II) If we want to prove that a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit:
Beginning with :
This means:
Now we are going to increase 1 degree Celsius. In other words, we are going to use :
This means:
Calculating the difference between and
:
>>>>This is a proof of the statement, hence is also correct.
III) If we want to prove that a temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius:
Beginning with :
This means:
Now we are going to add :
And use this value in the Celsius formula:
This means:
In other words: An increase in 5/9 degree Fahrenheit is equivalent to a temperature increase of 1.30 degree Celsius, <u>not 1 degree Celsius</u>.
Therefore this statement is incorrect.