Let the arc is ABC with angle 324 degree, to find the length of that arc follow the steps;
The circumference of the circle E is :C = 2 r π
C = 2 * 40 π = 80 π cm.
Also 324° / 360° = 0.9m Arc (ABC ) = 0.9 * 80 π = 72 π cm
There is also formula for calculating the measure of an arc:
m Arc = r π α / 180°
m Arc = 40 π * 324 / 180
= 40π * 1.8 = 72 π
Now we have to find the exact length ( π ≈ 3.14 )
m Arc ( ABC ) = 72 * 3.14 = 226.08 cm
Answer:
Expected pay winning $50= $0.585
Expected pay winning $25= $2.36
Expected pay for anything else= $-4.35
Expected returns=3.59
Expected value for one play= $(-1.41)
Do not play this game because you will lose $1.41
Step-by-step explanation:
Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013
Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118
Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869
Expected pay($50)= 0.013$(50-5)= $ 0.585
Expected pay($25)= 0.118(25-5)$ = $2.36
Expected pay for anything else= 0.869(0-5)$ =$(-4.347)
Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41
c) Do not play the game.
For the answer to the question above asking <span>how many years was his money invested? The for the answer above is simple, it is I = Prt
</span>1200 = 1000 * 0.08 * t
<span>1200 = 80t
the answer is 15 years.
I hope my answer helped you. Have a nice day!
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After 6 hours the amount of caffeine 40 mg. After another 6 hours the amount of caffeine is 20 mg. It takes 12 hours for the total amount of caffeine to drop down to 20 mg. the answer is 11 am -B. Hope this helps!
<span>The mean is a spot between two extremes, though one extreme is worse than the other. It is difficult to find one must have the right tools, and that's why virtue is rare. You don't just find it by wishing it. Aristotle makes the case that the mean is a very real concept which requires one to accurately evaluate both extremes and the range between then find the appropriate action or understanding, the median and aim/pattern actions in that direction. These chapters explain this concept.</span>
