Answer:
Step-by-step explanation:
Not a Function because : (-20, - 7) and (-20,- 10)
each element must associate with a single
-20 to associate two elements: -10; -7
Answer:
a) P(75 < x < 80 ) = 0.2088
b) The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 72
Given variance of the Population = 18 inches.
Standard deviation of the Population = √18 = 4.242
Let 'x' be the random variable in Normal distribution
a)
Given X₁ = 75

Given X₂= 80

The probability that average height of all humans between 75 and 80

= | A ( 1.885) - A( 0.70721|
= 0.4699 - 0.2611
= 0.2088
P(75 < x < 80 ) = 0.2088
b)
<u><em>Step(ii)</em></u>:-
Given X₁ = 65

The probability that average height of all humans less than 65
P( X < 65 ) = P( Z < - 1.650 )
= 1 - P( Z > 1.650)
= 1 - ( 0.5 + A (1.650))
= 0.5 - A( 1.65)
= 0.5 - 0.4505
= 0.0495
The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Answer:
-11/12 is the answer
Step-by-step explanation:
Answer:
Part A: A(m(t)) = π(81t²); Part B: 1017.36
Step by step explanation:
Part A:
To find A(m(t)), we substitute our value for m(t), 9t, in place of m:
A(m(t)) = πm² = π(9t)² = π(81t²)
A(m(t)) = π(81t²)
Part B:
Substitute 2 in for t:
A(m(2)) = π(81(2²)) = π(81(4)) = 3.14(324) = 1017.36