8(3x – 6) = 6(4x + 8)
2 answers:
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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: y=3x-7
Step-by-step explanation:
(2,2) and (-1,3) lie on the given line, so its slope is
Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.
Substituting into point slope form,
Answer:
First option is correct. The solution of the equation is x=1.
Step-by-step explanation:
The given equation is
The value of x, which satisfy the above equation is the solution of the given equation.
Put x=1 in the given equation.
Since left hand side is equal to right side, therefore first option is correct.
Put x=2 in the given equation.
Since left hand side is not equal to right side, therefore second option is correct.
Put x=4 in the given equation.
Since left hand side is not equal to right side, therefore third option is correct.
Put x=8 in the given equation.
Since left hand side is not equal to right side, therefore fourth option is correct.