Answer:

Step-by-step explanation:
Given



Required
Determine P(Gray and Blue)
Using probability formula;

Calculating P(Gray)



Calculating P(Gray)



Substitute these values on the given formula



You can calculate polygon area with only apothem OR side length.
apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 *
<span>
<span>
<span>
3.4641
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.677056
</span>
</span>
</span>
square yards
side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.1231488698
</span>
</span>
</span>
square yards
If apothem and side length were given with more precision, the answers would be closer.
Source:
http://www.1728.org/polygon.htm
Answer:
does not exist
Step-by-step explanation:
According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.
Applying the divergence test here:
lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4
This is not 0, so the series does not converge, meaning the sum does not exist.
Answer:
1/6 of the third workers time
Step-by-step explanation:
one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time
Let x be the third workers time
Let the completed job time = 1
Time taken for 3 workers to complete the job = 1

now we solve for x
LCD = 2*3 = 6
We multiply the whole equation by 6

3 + 2 +6x = 6
5 + 6x = 6
subtract 5 on both sides
6x = 1
divide both sides by 6

Answer:
all real numbers greater than or equal to -1
Step-by-step explanation: