Answer: The displacement is -4 ft.
Step-by-step explanation:
The velocity is:
v(t) = 2t - 5ft/s
If we want to find the displacement between t = 0s and t = 4s, we need to find the difference between the position at t = 0s and at t= 4s
The equation for the position is obtained by integrating over time:
P(t) = (2t^2)/2 - 5*t + c
where c is the initial position, then we have:
P(t) = t^2 - 5t
P(4) - P(0) = 4*4 - 5*4 - 0 = 16 - 20 = -4
The total displacement is -4 feet
We can draw a square with given side many ways. Square means the sides are equal in length. The diagonals are equal and bisect each other in mutually perpendicular.One method is first we draw a line segment equal to AB. The end points are marked as A and B. From these points draw a perpendicular, using scale or compass mark the points on this perpendicular equal to AB. these points be C and D. Join these point C and D get CD. Now the square is ready. ABCD is the square.
Answer: 38.2
Step-by-step explanation:
Answer:
68.11% probability that the firm involved is firm B
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Cost overrun
Event B: Agency B used.
A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15.
This means that 
From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively.
This means that 
Probability of cost overrun.
Firm A is used 40% of the time, with 1% of these having cost overrun. B is used 45%, with 14% of these having cost overruns. C is used 15% of the time, with 17% of these having cost overruns.
So

What is the probability that the firm involved is firm B

68.11% probability that the firm involved is firm B
Distribuitive property...