Answer:
The correct answer is option D. 69°
Step-by-step explanation:
Points to remember
1). The sum of angles in a linear pair is 180°
2). In a triangle sum of two angles are equal to the exterior angle of third angle
From the figure we can see a triangle in which two exterior angles area given.
<u>To find the value of n</u>
from figure we get,
n = (interior angle of 131° + interior angle of 160°)
interior angle of 131° = 180 - 131 = 49°
interior angle of 160° = 180 - 160 = 20°
n = 49° + 20° = 69°
Therefore the correct answer is option D. 69°
Answer:
π
Step-by-step explanation:
Formula for the circumference of a circle
2r(π)
Area of a circle
πr²
2r(π)=x
x/2(π)=r
π(x/2(π))²=Area
π(x²/4(π)²)=Area
(x²/4(π))=Area
(15π)²÷4π=Area
π
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:
3 hundredths or .03
Step-by-step explanation: