Answer: Even is not unusual.
Step-by-step explanation:
Given:
P = 0.10
n = 1200
x = 132
1. Sample of proportion ( ˆp ) = x/n
= 132/1200
= 0.11
2. Z = ˆp - p / √p ( 1 - p )/ n
= 0.11 - 0.10 / √0.10 ( 1 - 0.10 ) / 132
= 0.01 / 0.02611
= 0.3829
3. Probability
P ( ≥ 132 ) = P( Z > 1.50 ) = 1 - P( Z > 1.50 )
= 1 - 0.9332
= 0.0668
The probability is higher than (0.05). Which makes the event unusual, therefore there is no enough evidence which suggest that the number of Americans who are afraid to fly has increased.
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
At those two x-intercepts, I know that x=2 and x=-2.
to get this, I know that there are two factors set to 0.
x+2=0 and x-2=0
so, if you multiply (x+2)(x-2)=y
then you will have standard form
x^2+2x-2x-4=y
y=x^2-4
Answer:
a = 2
b = 3
c = -5
Step-by-step explanation:
We are given Algebraic expression:
5-3x = 2x²
We rewrite it in standard form
2x² + 3x - 5
Algebraic form :
ax² + bx + c
Hence, the values of a, b, c is given below:
a = 2
b = 3
c = -5
Answer:
1/2x^2
Step-by-step explanation:
f(x)=x^2 so g(x)=1/2x^2
if g(x)=x(x) then the answer is 1/2x^2
use desmos to help u select the correct graph
