Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
(How to find) Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.
(How to solve) Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal
(How to experiment) Experimental probability is the results of an experiment, let's say for the sake of an example marbles in a bag. Experimental probability would be drawing marbles out of the bag and recording the results. Theoretical probability is calculating the probability of it happening, not actually going out and experimenting.
(Example) The theoretical probability of an event occurring is an "expected" probability based upon knowledge of the situation. It is the number of favorable outcomes to the number of possible outcomes. Example: Find the probability of rolling a 6 on a fair die.
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Answer:
1/10
Step-by-step explanation:
Percent spent on cable TV = 10%
Percent means "per hundred".
So, we can write 10% as,
10/100
= 1/10
So the family spent 1/10 of their total budget on cable TV.
Answer:
7.1 meters
Step-by-step explanation:
Use the pythagorean theory:
10 would be the hypotenuse
7 would be one of the legs
and x (or whatever variable you'd like) would be the other leg.
7^2+x^2=10^2
49+x^2=100
subtract 49 from both sides
x^2=51
take the square root on both sides
x is approximately 7.1
