We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Answer: 69
Step-by-step explanation:
Let the original employee be x , this means that
116% of x = 80
= 80
116x = 8000
divide through by 116
x = 8000/116
x = 68.96551724
Since we are dealing with employees , therefore x ≈ 69
This means that there were 69 employees originally
0.8+2.4= 10.4F it increased 10.4f from 6am to 3am
240 is the answer
Step-by-step explanation:
3x4=12
12x20=240
Answer:
a.H0: μ =530mL vs. Ha: μ > 530mL
Step-by-step explanation:
-A hypothesis test will be used to provide evidence that the median is more or equal to the stated median value.
#In a normally distributed population, the mean=mode=median:

-The null hypothesis states that the median is equal to the stated value:

-The alternative hypothesis provides evidence that the median value is greater than the stated value:

Hence, the correct hypotheses are H0: μ =530mL vs. Ha: μ > 530mL