Answer:
mean (μ) = 4.25
Step-by-step explanation:
Let p = probability of a defective computer components =
let q = probability of a non-defective computer components =
Given random sample n = 25
we will find mean value in binomial distribution
The mean of binomial distribution = np
here 'n' is sample size and 'p' is defective components
mean (μ) = 25 X 0.17 = 4.25
<u>Conclusion</u>:-
mean (μ) = 4.25
Answer:
0.3114
Option d is right
Step-by-step explanation:
Let X be the time spent on a treadmill in the health club
Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes
Also given that X is normal
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
round off to two decimals tog et
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31
Hence option d is right
The area of the composite figure is 264 square centimeters, if a composite figure comprised of a square, trapezoid and a rectangle.
Step-by-step explanation:
The given is,
Dimensions of square has length of 10 cm
Trapezoid has base lengths of 8 cm and 14 cm
The length of the trapezoid is 4 cm
Rectangle has side length of 20 cm and 6 cm
Step:1
Area of composite figure = Area of square + Area of Trapezoid
+ Area of rectangle.......................(1)
Step:2
Formula for area of square,
where, a - side of length = 10 cm
Area of square, = 100 Square centimeter
Step:3
Formula for area of Trapezoid,
=
.......................................(2)
Where, a - 8 cm
b - 14 cm
h - 4 cm
From equation (2)
=
=
= 44
Area of Trapezoid, = 44 square centimeters
Step:4
Formula for area of rectangle,
......................................(3)
Where, l = 20 cm
b = 6 cm
Equation (3) becomes,
= 120
Area of rectangle, = 120 square centimeters
Step:5
From Equation (1),
= 100 + 44 + 120
= 264 square centimeters
Result:
The area of the composite figure is 264 square centimeters, if a composite figure comprised of a square, trapezoid and a rectangle.
We can use the law of cosines as follows:
We can rewrite this equation as