Answer:
.66 cu. meters
Step-by-step explanation:
volume for cone is V=1/3 x TT x r^2 x height
TT (pi) is 3.14
radius is 1/2 of diameter (1/2 x 1.5 = .75 )
height is 1.5 x radius (1.5 x .75 = 1.125)
V= 1/3 x 3.14 x .75^2 x 1.125
V= .66 cu. meters
It says decreasing so you have to turn it into a percent (.06%) and then sub tract that from 1. After that you put that into an equation.
Length of circular track is:
L = 2*r*pi
He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi
To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds
v = L'/t = 3*r*pi/2*105
v = r* pi/70
If we take that r = 1
answer
Answer:

Step-by-step explanation:
Given: 76,45,64,80,92
Required: Determine the standard deviation
We start by calculating the mean

Where x-> 76,45,64,80,92 and n = 5



Subtract Mean (71.4) from each of the given data

Determine the absolute value of the above result

Square Individual Result

Calculate the mean of the above result to give the variance


Hence, Variance = 255.298
Standard Deviation is calculated by 



Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.