Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Answer:
- Keisha’s experimental probability is 1/50.
- When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
- Keisha will have more than 97% of the products working.
Step-by-step explanation:
These are three prediction that Keisha can make based on the report that said 6 of 300 clocks tested weren't working.
Base on that information, Keisha can calculate an experimental probability, dividing <em>clocks that don't work properly </em>by <em>the total amount of clocks</em><em>:</em>
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Therefore, the probability of success is 100% - 2% = 98%.
This means that Keisha has a probability of having 98% of all clocks functioning properly. So, she can make the prediction:<em> from 4000 clocks, 3920 will work. </em>Also, she can predict that she will actually have more than 97% working, because the experimental probability is higher than that.
Answer:
the answer would be 1.75 or 1 3/4
Step-by-step explanation:
Answer:
0.8 as a percent is 8%.
Step-by-step explanation: Please brainliest if correct!
Hola!
Total outcomes of a die are { 1, 2, 3, 4, 5 and 6} = 6
→ for first case:
Favourable outcomes {1, 3, 5} = 3
P (rolling an Odd number the first time) = 3/6 = 1/2
→ for second case:
Favourable outcomes {1, 2} = 2
P (rolling a number less than 3 the second time) = 2/6 = 1/3
Thus,
The probability of getting both these events :
P ( both events ) = 1/2 × 1/3 = 1/6
hope it helps!