Answer: a) 0.25, b) 0.78, c) 0.71
Step-by-step explanation:
Since we have given that
Number of employees in marketing = 4
Number of employees in management = 7
We need to hire committee of 3 people.
a) Find the probability that the committee has exactly 2 employees from marketing.
So, Probability becomes

b) Find the probability that the committee has at least one employee from marketing.

c) Find the probability that the committee has at most one employee from management.

Hence, a) 0.25, b) 0.78, c) 0.71
Answer:
Step-by-step explanation:
A car traveled at a constant speed as shown in the graph.
Distance traveled is on the y-axis and duration of travel on the x-axis.
Point A(3.5, 210) shows,
Distance traveled = 210 miles
Time to travel = 3.5 hours
So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.
Slope of the line = speed of the car = 
= 
= 60 mph
Now we will find the speed of the car at another point B(1, 60).
If the speed of car is same as the point B as of point A, point B will lie on the graph.
Speed of the car at B(1, 60) = 
= 
= 60 mph
Hence, we can say that point B(1, 60) lies on the graph.
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer: The length of segments between this point and the vertices of greater base are
and 18.
Step-by-step explanation:
Let ABCD is the trapezoid, ( shown in below diagram)
In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7
Let P is the point where The extended legs meet,
So, according to the question, we have to find out : AP and BP
In Δ APB and Δ DPC,
∠ DPC ≅ ∠APB ( reflexive)
∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)
And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)
Therefore, By AAA similarity postulate,

Let, DP =x
⇒ 
⇒ 33 +11x = 18x
⇒ x = 33/7= 
Thus, PD= 
But, AP= PD + DA
AP= 
Now, let PC =y,
⇒ 
⇒ 77 + 11y = 18y
⇒ y = 77/7 = 11
Thus, PC= 11
But, PB= PC + CB
PB= 11+7 = 18