Less than 3 is about 10.75% and greater than 13 is about 6.18%.
To find these percents, you need to find the z-score for each value. Then, use your table to find the correct percent. Be sure to find the side above 13 when you use your chart.
For less than 3:
(3 - 7.45) / 3.6 = -1.24 = The percent below this is 0.1075
For greater than 13:
(13 - 7.45) / 3.6 = 1.54 = The percent above this is 0.0618
Since sample size is > 40, we use the z-score
in calculating for the confidence interval.
The formula is given as:
Confidence Interval = X ± z * σ / sqrt (n)
Where,
X = mean = $50,340
z = z-score which is taken from standard distribution
tables at 90% confidence interval = 1.645
σ
= standard deviation = $10,780
n = sample size = 45
Substituting to the equation:
Confidence Interval = 50,340 ± 1.645 * 10,780 / sqrt (45)
Confidence Interval = 50,340 ± 1,607
Confidence Interval = $48,733 to $51,947
<span>Therefore the salary range of the personnel is $48,733 to $51,947.</span>
Answer: .5
Step-by-step explanation:
1/5 = 20%
5/25=20%
.5= 50%
Hope this helps!
Answer:
f(-3) = -9.
Step-by-step explanation:
The equation of the curve in vertex form is:
f(x) = a(x + 3)^2 - 9 a is positive as the parabola opens up.
It passes through the point (1.5, 4), so
4 = a(1.5 + 3)^2 - 9
20.25a = 13
a = 13/20.25
a = 0.6420.
So the equation of the graph is
0.6420(x + 3)^2 - 9.
f(-3) = 0.6420(-3 + 3)^2 - 9
= 0.642*0 - 9.
= -9.
The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3
<h3>What is the graph of the parent function (y)?</h3>
The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.
From the given information,
- The domain for the
is at x ≥ 0, - The range is the set of values that the dependent variable for which the function is defined. f(x) ≥ 0.
In the second question:

Multiply by LCM
Solve c - (c - 3) = 3: True for all c
c ≠ 0, c ≠ 3
Therefore, we can conclude that since the equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3
Learn more about the graph of a function here:
brainly.com/question/3939432
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