Answer:
p percent of the observations are less than the value and (100 - p) percent are more than this value.
Step-by-step explanation:
Given : The pth percentile is a value such that approximately
Solution :
Definition : A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls
So, The pth percentile means p percentage of observations in a group of observations falls bellow the value
So, (100-p) percentage of observations in a group of observations falls above the value
So, Option a is true
Hence p percent of the observations are less than the value and (100 - p) percent are more than this value.
Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
U subtract 4x by 5x and then you add 3 by -21 and the answer is x=18
Answer:
Choice 4.
Step-by-step explanation:
f(g(x))
Replace g(x) with x^2+8 since g(x)=x^2+8.
f(g(x))
f(x^2+8)
Replace old input,x, in f with new input, (x^2+8).
f(g(x))
f(x^2+8)
2(x^2+8)+5
Distribute:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
Combine like terms:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
2x^2+21
Step-by-step explanation:
m<AEC= 180-152= 28°
m<CEB= 180-28=152°
m<FEC= 90+28=118°