Answer:
Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies
Step-by-step explanation:
Probability of having a pattern in rare subspecies 
Percentage of rare subspecies = 1 % = 0.01
Probability of a beetle with pattern belonging to rare subspecies is
Answer:
since it says implied it would be D. assumed
Step-by-step explanation:
Hey there!
To find the value of an angle in a triangle, you need to add the 3 angles. You have angles with 55 degrees, 65 degrees, and x degrees. Put this into an equation. The equation would be 55+65+x=180. Simplify to get 120+x=180. You need to isolate x, so subtract 120 from both sides to get x=60. So the value of x is 60 degrees.
I hope this helps!
Answer:
2,250 + 95n
Step-by-step explanation:
Cost of a food booth = 100 + 2n
Cost of 10 food booth = 10(100 + 2n)
= 1,000 + 20n
Cost of a game booth = 50 + 3n
Cost of 25 game booth = 25(50 + 3n)
= 1,250 + 75n
Total amount earned by the company = Cost of 10 food booth + Cost of 25 game booth
= (1,000 + 20n) + (1,250 + 75n)
= 1,000 + 20n + 1,250 + 75n
= 1,000 + 1,250 + 20n + 75n
= 2,250 + 95n
Total amount earned by the company = 2,250 + 95n
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
