Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Find the term that goes into both - in this case, it's 2.
Therefore, we divide both numbers by 2 to simplify.
4/2 = 2
6/2 = 3
So the simplified form is 2 : 3
Answer:
Step-by-step explanation:
Let
x ----> the length of the third side of triangle in Lauren's sculpture
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the Triangle inequality Theorem
1) 
Rewrite
2) 
therefore
The possible values of x are
Answer:
The value of x is <u>1</u><u>0</u><u>.</u>
Step-by-step explanation:
By question,
-4(x - 5) = 60
or,-4x + 20 = 60
or,-4x = 60 -20
or, -4x = 40
or, x =40/-4
Hence,x=10
Answer:
Step-by-step explanation:
It's not exactly true.
Suppose s = 4
It is a factor of 16. The greatest common factor between 4 and 16 is not 16. It would only be 4.
So the answer to the question is false.
