Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is
and the standard deviation is 
Calls to a customer service center last on average 2.8 minutes.
This means that 
75 calls each day.
This means that 
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Answer:
height of second rectangular prism is 5 meters
Step-by-step explanation:
Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)
equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139
Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
Answer:
The volume of the box is 41.21 inches cube.
Step-by-step explanation:
Given,
Width of the box
inches
inches
Length of the box
inches
inches
Height of the box
inches
inches
The box is in cuboid form.
The volume of cuboid is given by (length × breadth × height ).
So,
volume of the box is
×
×

= 
inches cube
The volume of the box is 41.21 inches cube.
Mean: so basically you add up all the numbers (5+12+1+5+7=30) and divide the sum (30) with how many numbers there are (5) so 30/5=6
mode: mode is numbers repeated, since there are two 5's it is the mode (you may also have multiple modes)