Answer:
0.111
Step-by-step explanation:
It is given that a manufacturing company found out that the intrastate contracts having a low bid which are distributed between and of dollars.
Therefore, the probability that a low bid on the shipping contract is in excess of is given by :
P(x ≥ 30) = 1 - P(X ≤ 30)
= 0.111
Answer:
m∠ABG = 20 degrees
m∠BCA = 22 degrees
m∠BAC = 118 degrees
m∠BAG = 59 degrees
DG = 4
BE = 12.4
BG = 11.7
GC = 20.4
Step-by-step explanation:
The given parameters are;
m∠CBG = 20°, m∠BCG = 11°
The incenter of a triangle is the point where the three bisectors of ΔABC meets
m∠ABG = m∠CBG = 20° by definition of angle bisector
m∠ABG = 20°
m∠ACG = m∠BCG = 11° by definition of angle bisector
m∠BCA = m∠ACG + m∠BCG = 11° + 11° = 22°
m∠ABC = m∠ABG + m∠CBG = 20° + 20° = 40°
m∠BAC = 180° - (m∠BCA+m∠ABC) = 180° - (40° + 22°) = 118°
m∠BAG = m∠CAG by definition of angle bisector
m∠BAC = 118° = m∠BAG + m∠CAG = m∠BAG + m∠BAG = 2 × m∠BAG
2 × mBAG = 118°
m∠BAG = 118°/2 = 59°
m∠BAG = 59°
Given that "G" is the incenter of the triangle ABC, we have;
GF = GE = DG = The radius of the incircle of the triangle = 4
Therefore, by Pythagoras' theorem, we have;
BG = √(11² + 4²) = √137 ≈ 11.7
BE = √((BG)² + 4²) = √(137 + 4²) = √153 ≈ 12.4
GC = √(20² + 4²) = √416= 4·√26 ≈ 20.4
The correct answer is 18696 ft/hour
The answer is All of these
Answer:
n = 5, n = -7/2
Step-by-step explanation:
2n + 5 = l
n - 4 = w
A = l × w = 15
(2n + 5)(n-4) = 15
2n^2 - 8n + 5n - 20 = 15
2n^2 -3n - 35 = 0
(2n + 7)(n - 5) = 0
2n + 7 = 0 or n - 5 = 0
n = -7/2 or n = 5