Answer:
a. 9
b. 4/9 or 0.444
Step-by-step explanation:
R=red card={R1,R2,R3,R4,R5}
E=even card={R2,R4,P2,P4}
n(R)=5
n(E)=4
a.
There 5 red and 4 purple card so, the sample space would be
Sample space=S={R1,R2,R3,R4,R5,P1,P2,P3,P4}
number of elements in sample space=n(S)=9
So, the number of elements in the sample space are 9.
b.
P(E)=n(E)/n(S)
P(E)=4/9 or 0.444
Thus, the probability of an even numbered card is 0.444.
Answer:
Dimensions = 8 CM and 12 CM
length = 12 CM
width = 8 cm
perimeter = 2 ( length + width)
= 2( 12 + 8)
= 2 ( 20)
= 40 CM
ratio = 12/40
= 6/20
= 3/10
<h2>= 3 : 10 </h2>
Answer:
In a right pentagonal prism, the bases are pentagons and the lateral faces are rectangles. If we take a cross-section perpendicular to the base, this same cross-section will be parallel to the lateral faces. This means it will be the same shape as the lateral faces, which is a rectangle.
Step-by-step explanation:
Answer:
-9n-6
Step-by-step explanation:
Answer: x(t) = 5cm*cos(t*pi/2s)
Step-by-step explanation:
This is a sinusoidal equation, so we can write this as:
x(t) = A*cos(c*t + p) + B
where B is the axis around the movement, as the resting position is x = 0, we have B = 0
so x(t) = A*cos(c*t + p)
A is the amplitude of the oscilation, c is the frequency and p is a phase.
We know that when t = 0s, we have x(2s) = 5cm
if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1
then we must have that p = 0
x(0s) = A*cos(0) = 5cm
then we have A = 5cm
Now, when t = 2s, we have:
x(2s) = 5cm*cos(2s*c) = -5cm
then 2s*c is the minimum of the cos(x) function, this is:
cos(pi) = -1
then 2s*c = pi
c = pi/2s.
then our function is:
x(t) = 5cm*cos(t*pi/2s)