Answer:
The probability of drivers who are not intoxicated is P(I¯) and is given as 0.99411.
Step-by-step explanation:
As the event is indicated as I for the drivers who are intoxicated, the value of I¯ is for the drivers who are not intoxicated. Its value is calculated as follows
P(I¯)=1-P(I)
P(I¯)=1-0.00589
P(I¯)=0.99411
So the probability of drivers who are not intoxicated is P(I¯) and is given as 0.99411.
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as 
, where 
and 
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at 
.
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
9514 1404 393
Answer:
D. 105 ft²
Step-by-step explanation:
The total surface area is the sum of the base area and the triangular face areas.
Area of base:
A = s²
A = (7 ft)² = 49 ft²
Area of 4 triangles:
A = 4(1/2)bh
A = 2(7 ft)(4 ft) = 56 ft²
Total surface area:
base area + triangle area = 49 ft² +56 ft² = 105 ft²
Answer:
67 units^2
Step-by-step explanation:
The surface area of the prism is found by
SA = 2 ( lw+lh + wh)
= 2 ( 5*1.5+ 4*1.5 + 5*4)
= 2 ( 7.5+6+20)
= 2 (33.5)
= 67
answer for this question is 4 x^ 3 Y ^4 root x
