Answer:
Computed mean = 51.6
Actual mean > computed mean
Step-by-step explanation:
Low temp. - - Freq(f) - - midpoint(x) - - fx
40−44 - - - - - 2 - - - - - - - 42 - - - - - - 84
45−49 - - - - - 7 - - - - - - - 47 - - - - - - 329
50−54 - - - - - 9 - - - - - - - 52 - - - - - - 468
55−59 - - - - - 5 - - - - - - - 57 - - - - - - 285
60−64 - - - - - 2 - - - - - - - 62 - - - - - - 124
Mean (m) = Σ(fx) / Σ(f)
Σ(fx) = 84 + 329 + 468 + 285 + 124 = 1290
Σ(f) = 2 + 7 + 9 + 5 + 2 = 25
Mean (m) = 1290 / 25
Computed mean (m) = 51.6
Actual mean = 56.6
Actual mean > computed mean
56.6 > 51.6
Answer:
m = 2500b
Step-by-step explanation:
As instructed,
let b = number of boxes sold
let m = total money made.
The total money made, is a function of the number of boxes sold.
Let me break this down:
There are 100 pencils in a box;
if they sold only one box, they will get 100 X $25 = $2500;
if they sold two boxes, they will get 200 X $25 = $5000;
if they sold three boxes, they will get 300 X $25 = $7500;
Following the trend, we can deduce that money made, m = (number of boxes sold X 100 ) X $25
representing this using the variables we were given, we have
m = 100b X 25
hence
m = 2500b
We can model the function between a and b as a linear function of negative slope because it is a short interval and the change is not very significant.
We have then that the average rate of change in that interval is:
m = (f (a) - f (b)) / (a-b)
Substituting the values:
m = (34.25 - 26) / (2.5-3.6)
m = -7.5
Negative, because the function decreases in that interval.
Answer:
a reasonable estimate of the average rate of change of the height of the rocket, in meters per second, between a and b seconds is:
m = -7.5 m / s
Answer:
The numbers slowly decrease by 4 so we can determine that the 40th sequence is -70.
Step-by-step explanation:
Sum of 2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so
x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4
the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=

for x²-4x+16=0
x=

x=

x=

x=

x=

x=

the roots are
x=-4 and 2+2i√3 and 2-2i√3