Answer:12+17(x)<6
Step-by-step explanation:
Answer:
Something like this
Step-by-step explanation:
distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32
slope = 2/-6 = -1/3
distance (-1,-4) to (0, -4.63)
√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18
6.32 - 1.18 = 5.14
1.18 : 5.14
Use this 3 following steps:
1)At first, we should find the roots :
3x+8=0 => x=-8/3
x-4=0 => x=4
2)Using a chart for the limits:
photo
3)choose your solution:
[-8/3,-4)==> Sentence 3 is correct
Answer:
a) 0.96
b) 0.016
c) 0.018
d) 0.982
e) x = 2
Step-by-step explanation:
We are given with the Probability density function f(x)= 2/x^3 where x > 1.
<em>Firstly we will calculate the general probability that of P(a < X < b) </em>
P(a < X < b) =
=
=
{ Because
}
=
=
=
=
a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }
Comparing with general probability we get,
P(1 < X < 5) =
=
= 0.96 .
b) P(X > 8) = P(8 < X < ∞) = 1/
- 1/∞ = 1/64 - 0 = 0.016
c) P(6 < X < 10) =
=
= 0.018 .
d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)
=
+ (1/
- 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982
e) We have to find x such that P(X < x) = 0.75 ;
⇒ P(1 < X < x) = 0.75
⇒
= 0.75
⇒
= 1 - 0.75 = 0.25
⇒
=
⇒
= 4 ⇒ x =
Therefore, value of x such that P(X < x) = 0.75 is 2.
Answer:
C
Step-by-step explanation:
f is neither even nor odd