Let's make an example
This number is in standard notation
The easy explanation is to make this number look like this: x * 10^n
x cannot be greater than or equal to 10. n can be any whole number, including 0.
Now, let's try putting 20,000 into scientific notation!
We must make it so that x is less than 10, let's try making x=2
Now, what value of n will make 2*10^n = 20000?
Let's put in 4
Since 20000=20000 is a true statement, we know that 2*10^4 is the scientific notation.
( If this is confusing, n equals the amount of times you move the decimal point until you make a number less than 10.
Move the point 2 times and you end up with 1.00
Hope this helped!
(i) What is the probability that a randomly chosen employee prefers vegetarian meal and took lunch?
Let's get our ratio set up:
Plug that into the calculator
237/1200 = 0.1975
So, part (i) has an answer of 0.1975
(ii) What is the probability that a randomly chosen employee took dinner or prefers non-vegetarian meal?
In this, someone that chooses dinner AND chooses non-vegetarian meals are included.
First, let's add 206+200+191+182
206+200+191+182 = 779
So, our ratio will be 779/1200
Let's plug that into our calculator
779/1200 = 0.6491666666666667
Shorten that to 4 decimals and you get 0.6492
So, the answer for (ii) is 0.6492
(iii) What is the probability that a randomly chosen employee took breakfast given that he or she prefers vegetarian meal?
In this, anyone who chooses a non-vegetarian meal is NOT included.
First, add 184+237+182
184+237+182 = 603
This will be the denominator of the ratio
The amount of people who chose breakfast is 184 people.
So, the ratio is 184/603
Plug this into the calculator.
184/603 = 0.3051409618573798
Shorten it to 4 decimal points and it becomes 0.3051
So, the answer to (iii) is 0.3051
I hope this helped!