Answer:
-2
Step-by-step explanation:
Answer:
A) 12/37
B) 12/46
C) 25/54
D) 29/100
Step-by-step explanation:
Let event A = small-business owner selected economy,
event B = small-business owner selected finding qualified workers,
Thus, probabilities;
P(A)=46/100
P(B)=37/100
P(A∩B)=12/100
A) P(A ∩ B)/P(B) = (12/100)/(37/100) = 12/37
B) P(A∩B)/P(A) = (12/100)/(46/100)= 12/46
C) P(B∩A')= P(B) − P(A∩B) =
37/100 - 12/100 =25/100
P(B∩A')/P(A') =
(25/100)/(1-46/100) = 25/54
D) Using inclusion-exclusion principle;
P(A∪B) = P(A)+P(B)−P(A∩B)=
46/100 + 37/100 - 12/100 = 71/100
Hence, the probability that the owner believes neither that the economy is a challenge for growth nor that finding qualified workers is a challenge for growth is;
P( A' ∩ B') = 1 − P(A∪B)= 1− (71/100)= 29/100
Answer:B = 18, A = B + 23 = 18+23 = 41.
Step-by-step explanation:Last year . . .
A = 2B + 5 (1)
The number . . .
A = B + 23. (2)
Equations (1) and (2) have the same left sides --- hence, their right sides are equal :
2B + 5 = B + 23.
It implies
2B - B = 23 - 5
B = 18.
ANSWER. B = 18, A = B + 23 = 18+23 = 41.
Answer:
V-9%= Vehicles Left V- 0.09= Vehicles Left
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°