Men’s heights are normally distributed with a mean of 71.8 inches and a standard deviation of 3.4 inches. A social organization
1 answer:
You might be interested in
Answer:
6.667 ft/s
Step-by-step explanation:
Given
Height of street light = 15ft
Height of man = 6ft
Speed away from pole = 4ft/s
Let x represents the distance between the man and the pole, and Let y represents the distance between the tip of the man's shadow to the pole.
This forms a similar triangle (see attachment below).
From similar triangles, we have
(y - x)/6 = y/15 ----- Solve equation
15(y - x) = 6 * y
15y - 15x = 6y ---- Collect Like Terms
15y - 6y = 15x
9y = 15x --- divide through by 9
y = 15x/9
y = 5x/3 ---- differentiate with respect to time, t
dy/dt = 5/3 dx/dt
dx/dt represents rate of change of distance per time = 4ft/s
while dy/dt represents rate of movement of his shadow tips
dy/dt = 5/3 * 4
dy/dt = 20/3 = 6.667 ft/s
Expand the right side:
Notice that 98 = 2 * 7 * 7, so we have and
.
Then
and
Answer:
It is VERY important to use the attached formula.
Years = ln (Total / Principal) / rate
Years = ln (6,000 / 2,000) / rate
Years = ln (3) / rate
Years = 1.0986122887 / .015
Years = 73.24 years
This takes a LONG time because the interest rate is extremely low.
Step-by-step explanation:
