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The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em><em> is </em><em>.</em>
- <em>The parent function </em><em> is vertically compressed by 9, then shifted down by 5 units to get </em><em />
<em />
Given
<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is:
<u />
<u>The parent function</u>
We have:
First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:
So, we have:
Next, the function is shifted down by 5 units.
So, we have:
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Answer:
7 miles
Step-by-step explanation:
45 - 17 = 28 miles
28 : 4 = 7 miles
Answer:
0.2322 or 23.22 %
Step-by-step explanation:
We have to solve and find the area out of these limits
μ + 0,3 = 210 + 0,3 ⇒ 210,3 and
μ - 0,3 = 210 - 0,3 ⇒ 209.7
z(l) = ( x - 210 ) / (2.8/√84) ⇒ z(l) = - (0.3 * 9,17)/ 2.8
z (l) = - 1.195
We need to interpole from z table
1.19 ⇒ 0.1170
1.20 ⇒ 0.1151
Δ ⇒ 0.01 ⇒ 0.0019
And between our point 1,195 and 1,19 the difference is 0.005
then 0.01 ⇒ 0.0019
0.005 ⇒ ?? (x)
we find x = 0.00095
to get the area for poin z (l) - 1.195 up to final left tail is from z table
0,1170 - 0.00095 = 0.1161
And by symmetry to the right is the same
So 0.1161 * 2 = 0.2322
We find the area out of the above indicated limits the area we were looking for. This is the probability of finding shafts over and below the population mean and 0.3 inches
Step-by-step explanation:
Z=22
180-120=60
2x+16=60
2x=44
Z=22