The coordinate of point D will be ( -0.5, 0.25 ).
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What is coordinate geometry?</h3>
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.
The coordinates of point D will be:-
D = ( 1 / n ) C
D = ( 1 / n ) ( -2.5 , 1.25 )
D = ( 1 / 5 ) ( -2.5 , 1.25 )
D = ( -0.5 , 0.25 )
Therefore, the coordinate of point D will be ( -0.5, 0.25 ).
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Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
The supplement of 1/5 of a complete angle is 150degrees
So taking (0,-2) and (-3,-6) then it is -2-(-6)/0-(-3) or 4/3
