Answer:
P ( 1.2 < X < 2.1 ) = 0.3
Step-by-step explanation:
Given:
Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)
f(x) = 1 / (b - a)
Where a < x < b is the domain at which function is defined:
f(x) = 1 / (3) = 1 / 3
Where, X - U ( u , δ )
u = ( a + b ) / 2 = (0 +3) / 2 = 1.5
δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866
Hence,
X - U ( 1.5 , 0.866 )
There-fore calculating P ( 1.2 < X < 2.1 ):
Where, a = 1.2 and b = 2.1
P ( 1.2 < X < 2.1 ) = x / 3 |
P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3
Answer: P ( 1.2 < X < 2.1 ) = 0.3
The concept to answer this question can be bought from physics.
The Snell's law of refraction says that, the ration of sine of angle of incidence to the the sine of angle of refraction is constant for a given media.
This means;
(sinθ1)/(sinθ2) = k
Where θ1 = angle of incidence and
θ2 = angle of refraction
k = constant
(sinθ1)/(sinθ2) = k
sinθ2 = k/sinθ1
= k/sin25
= k/0.422618261
= 2.366k
The angle of refraction, θ2 = anti-sin(2.366k)
Answer:
Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7
So:
(x² - 7)² - 4x² + 28 = 5
(p)² - 4x² + 28 = 5 You can factor out -4 from (-4x² + 28)
p² - 4(x² - 7) = 5 Plug in p
p² - 4p = 5 Subtract 5
p² - 4p - 5 = 0 And, your correct answer is C.
Hope It Helps!~
ItsNobody~ ☆
Answer:
15.3
Step-by-step explanation:
because 15 is the number I think
