The probability of profiting $5.2 million is 5% = 0.05
The probability of profiting $0.9 million is 50% = 0.5
The probability of breaking even, meaning no profit gain, is 45% = 0.45
Expected profit values of the CD is given by
(0.05×5.2) + (0.5×0.9) + (0.45×0) = 0.26+0.45+0 = 0.71 million
Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC; 
in triangle ΔFGH;
Segment 
= 14 Segment 
= 14
Segment 
= 27 Segment 
= 19
Segment 
= 19 Segment 
= 2·y + 5
∡A = 32° ∡G = 32°
∡A = ∠BAC which is the angle formed by segments = 14 and = 19
Therefore, segment = 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments = 14 and = 19
Therefore, segment = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴ = = 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Answer:
1/2
Step-by-step explanation:
if you look at a unit circle, sin(\pi/6) is 
so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2
Answer:
4.4 < 2.5 +x
She needs to crochet at least 1.9 more ft
Step-by-step explanation:
She wants the scarf to be at least 4.4 ft long
4.4< scarf
The scarf is 2.5 ft long now
She will crochet x more ft
4.4 < 2.5 +x
Subtract 2.5 from each side
4.4 -2.5 < 2.5+x-2.5
1.9 <x
She needs to crochet at least 1.9 more ft
