ANSWER:
tan(30⁰)=√3/3
cos(30⁰)=√3/2
<h3>switch sides:</h3>
sin(x) /√3/2 =√3/3
<h3>multiply both sides by 3:</h3>
3·sin(x) /√3/2 =3·√3/3
<h3>simplify:</h3>
2√3 sin (x) =√3
<h3>divide both sides by 2√3:</h3>
2√3 sin (x) / 2√3 = √3 / 2√3
<h3>simplify: </h3>
<u><em>sin (x)= 1/2</em></u>
5/18+7/12
=10/36+21/36
=31/36
Answer:
The sample space of the game is: S = {1, 2, 3, 4, 5, 6}.
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
Consider a few example:
- Consider the experiment of tossing a coin. The sample space of this experiment consists of only two outcomes, i.e. Heads (H) and Tails (T).
- Consider the experiment of rolling a fair six-sided die. The sample space of this experiment consists of six outcomes, i.e. faces 1, 2, 3, 4, 5 and 6.
- Consider the experiment of selecting a card from a pack of 52 cards. The sample space of this experiment consists of 52 distinct outcomes.
The probability of all the outcomes in a sample space always sum up to 1.
Thus, fulfilling the condition of a valid sample space.
In this case, a game is played by spinning a pointer of a spinner with six equal-sized sections.
So, the pointer has 6 possible sections to land.
The pointer lands on any of the 6 sections with same probability, i.e. .
The sample space of the experiment is:
S = {1, 2, 3, 4, 5, 6}
Answer:
a. f(–3) = –5
Step-by-step explanation:
On a graph, point (x, y) can be also represented as function f (x) = y
it means that if f(x) has input value as x then its output value will be y.
Now given that in the problem that
The point (–3, –5) lies on the graph
it means that for function input value of of -3 has the out put value of -5
which can also be written as
f(-3) = -5
Hence the correct choice is a. f(–3) = –5.
Answer:
C 120
Step-by-step explanation: