Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 10 adult smartphone user
1 answer:
The probability that at least 5 of them use their smartphones in meetings or classes will be 0.34.
<h3>What is probability?</h3>Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The number of combinations of 5 out of 10:
The Success factor is:
57% = 0.57
The failure factor is:
(100 - 57)%= 43%= 0.43
So the Probability will be :
0.57⁵ x 0.43⁵ x 252 ≈ 0.34
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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.