Answer:
<em>1.3%</em>
When entered into a calculator, 12/890 (the chance of a given calculator being defective) = 0.01348...
As a percent this is 100*0.01348% = 1.348%, and to the nearest tenth, 1.3%
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:
192
Step-by-step explanation:
The area of the cereal box = 8 x 3 x 10 = 240
Therefore, if 100% of the box is filled with
cereal, the amount of cereal in the box
will be 240.
now, 80% is x
80/100 = x/240
cross multiplying,
100x = 80×240
100x = 19 200
dividing both sides by 100
x = 192
