This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
Let number of senators = x, then:-
number of representatives = 5x - 25 so
x + 5x - 25 = 515
6x = 540
x = 90
number of reps = 515 - 90 = 425
so there are 90 senators and 425 representatives.
If the triangle was a right triangle, then you can use the Pythagorean theorem to find the lengths.
Answer: a) 2 b) 1.407
Step-by-step explanation:
Given : The probability that any particular diode will fail : p=0.01
The number of diodes in a circuit : n= 200
The number of diodes expected to fail will be :-
Hence, the number of diodes expected to fail =2
The standard deviation of the number that are expected to fail will be :-
[Rounded to three decimal places.]
Hence, the standard deviation of the number that are expected to fail= 1.407
If you shift a function to the left 4 units, the only thing you are doing to it is moving it. You are not changing its shape or its orientation. A simple example is the parabola y = x^2. The vertex is at the origin. When you shift it 4 units to the right, the new equation is y = (x+4)^2 which shows we have moved the parabola 4 units to the left. Nothing else changes about it.
