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
We can say that:
8x = -2ax
8 = -2a
a = -4
22y = - 2by
22 = -2b
b = -11
37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10
With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10
P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0
In order to answer, I would first need to know Jana's speed, not that she biked at a constant rate.
Answer:
The answer is B.
Step-by-step explanation:
The original graph of y = x^2 has a vertex at (0,0)
The formula for graph translations is y = (x-#)^2+#
The number inside the parentheses is a horizontal translation.
So, we are given y = (x-(-3))^2+#
The vertex of the graph moves 3 points left, since the number is negative (-3).
The number at the end of the equation is a vertical translation.
So, we are given y = (x+3)^2+4
The vertex of the graph moves 4 points up, since the number is positive (4).
The new vertex is at (-3,4)
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
÷ 
= · 
= -27
2. Divide both sides by 2:
2(x - 9) = -27
(x - 9) = 
3. Add 9 to both sides:
x = 
(or 4.5 if you need it in decimal form)
hope this helps!
