We have more data values than associated probabilities....???
We have the form
y = A cos [ Bt]
Period = [ 2 pi ] / B
Period = [ 2pi] / [ pi/2] = [ 2pi] * [ 2/pi] = 4
Frequency = 1/ Period = 1 / 4
Not totally sure if this is the only answer....but.....
Swinging pendulum
If the point is on the x axis, let it be (m, 0)
So ....using the distance formula (squared) we have that
(m - 0)^2 + (0 - 4)^2 = ( m + 2)^2 + ( 0 - 0)^2 simplify
m^2 + 16 = m^2 + 4m + 4
16 = 4m + 4
4m = 12
m = 3
So...the point is (3, 0)
[sinx ] [ sin x + 1 ] = 0
Set both factors to 0 and solve
sin x = 0......this happens at ± pi * n
sin x + 1 = 0 subtract 1 from both sides
sin x = -1 ......this happens at 3pi/2 ± 2pi *n
So....last answer
This is the intersection of the tangent graph with the line y = -1
So
tan x = -1
Number of Athletic Shoes = 16 + 20 + 8 + 5 = 49
Number of Boys Athletic Shoes = 8
P( Boys Athletic Shoe given an Athletic Shoe) = 8 / 49 ≈ 16.3%
Using the distance formula
5 = √[ ( 4 - 1)^2 + ( a - 2)^2 ] square both sides
25 =(4 - 1)^2 + (a - 2)^2
25 = 3^2 + (a - 2)^2
25 = 9 + (a - 2)^2 subtract 9 from both sides
16 = (a - 2)^2 take both roots
±√16 = a - 2
± 4 = a - 2
So either
a - 2 = 4 ⇒ a = 6
Or
a - 2 = - 4 ⇒ a = -2
Here's the first two
Heights of men = continuous......all the rest are discrete
12P5 = 95040
Answer here : https://web2.0calc.com/questions/3d-geometry-please-help