Answer:
a) S = {1, 2, 3}
b) P(odd number) = 
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = 
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is 
. Then that of 3 is 
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = 
Prob(1) + Prob(3)
= 
= 
Answer: M= 14 or -14
Reason: When the absolute value symbol is around a number it turns it into it how far from 0 is it. And both 14 and -14 are 14 numbers away from 0
Hope this helps
Answer:
- C The range is the set of all real numbers greater than 0.
Step-by-step explanation:
We see that the function has positive range and no restriction of domain.
A The range is the set of all real numbers less than 0.
- Incorrect, positive values only
B The domain is the set of all real numbers greater than-4.
- Incorrect, the domain can get any value
C The range is the set of all real numbers greater than 0.
- Correct, the range is restricted to positive values
D The domain is the set of all real numbers less than-4.
- Incorrect, no restrictions
Answer:
c
Step-by-step explanation:
6-3x=2x
In order to solve these, you first want to get all the variables on one side. So, you add 3x to both sides.
6=x
The answer is x=6
Hope this helps!
