Answer:
The expected total amount of time in minutes 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 a normal variable:
For the sum of a sample of n values, the mean is of and the standard deviation is of
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?
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
The answer is 392.3 in standard form
Answer:
see attached
Step-by-step explanation:
You have done the hard part: finding the vertex.
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The leading coefficient is the coefficient of the x^2 term. It is +1, a positive number, so the parabola <em>opens upward</em>.
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The x-coordinate of the vertex for a parabola described by ...
f(x) = ax² +bx +c
is ...
x = -b/(2a)
For this parabola, a=1, b=6, c=2, and the x-coordinate of the vertex is ...
x = -6/(2(1)) = -3
The value of the function at that point is ...
f(-3) = (-3)² +6(-3) +2 = 9 -18 +2 = -7
The coordinates of the vertex are ...
(-3, -7)
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The axis of symmetry is the vertical line through the vertex. Its equation will be ...
x = -3
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Some points on the graph can be found by choosing x-values near the vertex value. They will be symmetrical about the axis of symmetry. When the leading coefficient is 1, the y-values will increase above the vertex point by the square of the x-distance from the vertex. The point at x= (-3 +2) will be at y = (-7 +(2²)), or (x, y) = (-1, -3). The symmetrical point is (-5, -3).
The functions and their matching properties are:
- y = (1/4)ˣ: y-intercept at (0,1); graph approaches 0 as x increases
- y = 2(1/2)ˣ: y-intercept at (0,2); graph approaches 0 as x increases
- y = 3ˣ: y-intercept at (0,1); graph approaches positive infinity as x increases
<h3>How to match the functions with their properties?</h3>
The functions are exponential functions;
Exponential functions are represented using:
y = abˣ
Where a represents the y-intercept.
Also, when b is less than 1, the graph would approach 0 as the x value increases, otherwise it approaches positive infinity.
This means that the graphs of y = (1/4)ˣ and y = 2(1/2)ˣ would approach 0 as the x value increases
Read more about functions at:
brainly.com/question/27846142
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