Total 36 outcomes are possible on rolling two dices simultaneously
A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment
A dice has 6 possibilities (1,2,3,4,5,6) , thus two when dices thrown together will have 36 outcomes in it's sample space. It's sample space is shown in picture attached below.
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Answer:
w = 12
Step-by-step explanation:
-5 + w/3 = -1
w/3 = 4 (Add 5 to both sides)
w = 12 (Multiply 3 by both sides)
Answer:
u = -2, -3/5
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Finding roots
Step-by-step explanation:
<u>Step 1: Define equation</u>
5u² + 6 = -13u
<u>Step 2: Solve for </u><em><u>u</u></em>
- Rewrite: 5u² + 13u + 6 = 0
- Factor: (u + 2)(5u + 3) = 0
- Find roots: u = -2, -3/5
Answer:
Adult Tickets: 173
Student Tickets: 43
Explanation:
- To solve this problem, you'll need to set up a system of equations.
- Assume a = # of adult tickets sold
- Assume s = # of student tickets sold
2: a + s = 216; 1: 10.25a+ 8s= 2117.25
2: <<As the total number of tickets sold from both sides is equal to 216>>
1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>
- Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.
- In this case, I'll elimnate a.
a + s = 216
10.25a + 8s = 2117.25
- In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).
-10.25a -10.25s = -2214
10.25a + 8s = 2117.25
- a cancels, and now you solve accordingly.
-2.25s/-2.25 = -96.75/-2.25
s = 43
- You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.
a + 43 = 216
- 43 -43
a = 173
Answer:
y = 2x - 20
Step-by-step explanation:
Simplfy 2 (x-1)
y + 18= 2x - 2
move all terms contain "y" to the left side
y = 2x - 20