Answer:
5! and 6p3
Step-by-step explanation:
5! = 5*4*3*2*1 = 120
6p3= n!/(n-r)!
where n = 6
and r = 3
6p3 = 6!/(6-3)!
= 6*5*4*3*2*1/3*2*1
= 120
Answer:
48
Step-by-step explanation:
multiply both sides by 4
12 times 4 is 48
Using translation concepts, the graph of f(x) is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
- Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
- Vertical compression by a factor of 2, due to the division by 2.
- Shift left of 4 units, as x -> x + 4.
- Shift up of 2 units, as y -> y + 2.
Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
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I believe it is C, there is a geometric law that states that the opposite angles across a line with both going into parallel lines will be the same angle. Rather confusing but a video online would likely explain it better than anyone could here.
Answer:
Minimum percentage = 88.89%
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 95 dB
Standard Deviation, σ = 8 dB
Chebyshev's rule:
- According to this rule atleast
percent of data lies within k standard deviation of mean.
We have to find the minimum percent of data lying within 3 standard deviations of the mean.
Putting values, we get,

Thus, minimum 88.895 of data lies within 3 standard deviations of the mean.