Answer:
4,3
Step-by-step explanation:
1 plus 3 equals 4.
-3 plus 6 equals 3.
Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse
base=2 feet
hypotenuse(ladder)=13 ft
We need to find the altitude,
By applying pythagoras theorem,
base square+altitude square=hypotenuse square
Take altitude as x
2 square+x square=13 square
4+x square=169
x square=169-4
x square=165
x= root of 165
x=12.8 feet(approx.)
J, K, and L are collinear
J is between K and L
LK = KJ + LJ
LK = 9x + 7
KJ = 2x - 3
LJ = 4x - 8
9x + 7 = (2x - 3) + (4x - 8)
9x + 7 = (2x + 4x) + (-3 - 8)
9x + 7 = 6x + -11
9x + 7 = 6x - 11
9x + 7 - 7 = 6x - 11 - 7
9x = 6x - 18
9x - 6x = 6x - 6x - 18
3x = -18
x = -6
∴ The value of x is -6
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
B because it’s the only one that doesn’t double in value
