Solve 8n + 20 < 6n + 24
2 answers:
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The questions are illustrations of probability and the usage of two-way tables
<h3>The survey of 1000 Argyle student</h3>To do this, we make use of the following representations:
- x represent owning a cell phone (x' is its complement).
- y represent owning a PS5 (y' is its complement).
So, the given parameters are:
Total = 1000
x = 781
x and y = 133
x' and y' = 192
Using the above data values, we have:
y = Total - x
x and y' = x - x and y
x' and y = y - x' and y'
This gives
y = 1000 - 781 = 219
x and y' = 781 - 133 = 648
x' and y = 219 - 192 = 27
See attachment for the complete table.
<h3>The probability of cats</h3><u>Probability that cats prefer flying</u>
This is calculated as:
P = Flying/Total
So, we have:
P = 20/100 = 1/5
<u>Probability that a selected cat is an alley cat</u>
This is calculated as:
P = Alley Cat/Total
So, we have:
P = 41/100
<u>Probability that a selected alley cat prefers invisibility</u>
This is calculated as:
P = Alley Cat and Invisible/Alley Cat
So, we have:
P = 21/41
<u>Probability that a selected home cat prefers invisibility</u>
This is calculated as:
P = Home Cat and Invisible/Home Cat
So, we have:
P = 22/59
<h3>Ice cream flavors</h3><u>Probability of Peanut Butter Crunch</u>
The given parameters are:
Peanut Butter Crunch = 1
Flavors = 52
This probability is then calculated as:
P = Peanut Butter Crunch/Total
So, we have:
P = 1/52
<u>Theoretical probability of Cotton Candy</u>
In this case, we have:
Cotton Candy = 1
Flavors = 5
This probability is then calculated as:
P = Cotton Candy/Flavors
So, we have:
P = 1/5
<u>Experimental probability of Mango</u>
In this case, we use the table results i.e.
Mango = 1
Friends = 15
This probability is then calculated as:
P = Mango/Friends
So, we have:
P = 1/15
Hence, the experimental probability of Mango is 1/15
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