Answer:
25th percentile = 202
80th percentile = 285
Step-by-step explanation:
Rearranging the values in increasing order
164
171
175
202
217
226
231
241
257
261
269
273
285
296
311
N = total number of variables = 15.
25th percentile = [(N + 1)/4]th variable = (15 + 1)/4 = 4th variable.
So, the 25th percentile = 4th variable = 202.
80th percentile = 0.8(N + 1) th variable = 0.8 × (15 + 1) = 12.8th variable = 13th variable = 285
Answer:
The correct option is 1.
Step-by-step explanation:
The given function is

It is an absolute function. The transformation of function is defined as

Where, a is horizontal shift and b is vertical shift.
If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.
If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.
If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.
The required function is


Therefore the correct option is 1.
The ordered pair is included in the solution set to the following system is (0,2)
<h3>Set of inequalities</h3>
Given the set of inequalities
y > x2 + 1
y < x2 – x + 1
Equate both expressions to have:
x^2 + 1 = x^2 - x +1
1 = -x + 1
x = 0
Substitute x = 0 into any of the function
y = x^2 + 1
y = 1
This shows that the ordered pair is included in the solution set to the following system is (0,2)
Learn more on inequality here: brainly.com/question/24372553
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