Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:
In decimal form, it can be written as:
In percentage form, it can be written as:
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are 
and 
respectively.
Answer:
The tip would be approximately $2.33. The total amount of money that should be left on the bill is $17.73.
Step-by-step explanation:
To determine the tip: 15.50 times 0.15 = 2.325 ≈ 2.33
To determine the total: 15.50 plus 2.33
Step-by-step explanation:
The answer is 0.8 as a fraction is 4/5
Answer:
(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}
(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.
for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.
The frelation 
is not a function because:
When x = 1, y = +1 and y = -1.
(c) The set of data provided can be represented by the equation of a line of the form y = mx + b
The slope is:
m = 2
b = 5 - 2*3
b = -1
Then, the function is:
y = 2x-1
You can substitute any of the points shown in the equation and check that equality is satisfied, for example:
(11 , 21)
y = 2 (11) -1
y = 22-1
y = 21. The equation is satisfied. The same goes for the rest of the values.
Answer:
±
2
√
2
+
2
Step-by-step explanation:
