6 sin θ - 3 csc θ = 0
6 sin θ = 3 csc θ = 3/sin θ
6 sin^2 θ = 3
sin^2 θ = 3/6 = 1/2
sin θ = sqrt(1/2)
θ = arcsin(sqrt(1/2)) = 45 degrees.
θ = 45°
Answer:
0.13093
Step-by-step explanation:
Give. That :
Population mean = 40% = 0.4
Sample size (n) = 64
Probability that more than 30 have computer at home
Mean = np = 64 * 0.4 = 25.6
Standard deviation = sqrt(n*p*(1-p)) = 3.919
P(x > 30)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (30 - 25.6) / 3.919 = 1.1227353
p(Z < 1.122) = 0.13093 ( Z probability calculator)
Expanded form just means to expand the number out. To change this in to expanded form you just need to do the following:-
1.000 + 0.0 + 0.07 + 0.005 = 1.075.
Hope I helped ya!!
632=.60 x (it is important to convert the percentage to decimal by dividing by 100)
632/.60=x
x= 1053.33
x is your original price
the actual answer is 1053.3333(3 repeating) but since it is money you cut it off at 2 decimal points.