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:
1 apple= $0.4
Step-by-step explanation:
Let o=orange
Let a=apple
4o+5a=4
2o+3a=2.20
2o=2.20-3a
o=2.20-3a/2
Let's go balk to the the first equation
4o+5a=4
4(2.20-3a/2)+5a=4
4.4-6a+5a=4
4.4-a=4
-a=-0.4
a=0.4
Apple=$0.4
Answer:
need points
Step-by-step explanation:
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Answer:
the answer
Step-by-step explanation:
and solution are
above
Answer:
the other two dimensions are (x + 1) and (x - 6)
Step-by-step explanation:
Given;
Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12
factor of the function as height of the refrigerator, = x + 2
Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;
x² - 5x - 6
--------------------------------------
x + 2 √ x³ - 3x²- 16x - 12
- (x³ + 2x²)
------------------------------
-5x² - 16x - 12
- (-5x² - 10x)
-------------------------------
-6x - 12
- (-6x - 12)
--------------------------------------
0
Factorize the quotient ( x² - 5x - 6);
x² - 5x - 6 = x² + x -6x - 6
= x (x + 1) - 6( x + 1)
= (x + 1) (x - 6)
Thus, the other two dimensions are (x + 1) and (x - 6)
