Answer:
The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder. Also r=d/2 , where d is the diameter of the cylinder. Therefore the volume becomes one-fourth of the initial volume. ... The new volume is 730 mL.
Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)
Step-by-step explanation:
Since we have given that
n = 75
mean = 1014 hours
Standard deviation = 25 hours
At 95% two sided , z = 1.96
So, confidence interval would be

(b) Construct a 95% lower confidence bound on the mean life.
z = 1.65
So, confidence interval would be

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)
see the attached figure to better understand the problem
we know that
The Area of the composite figure is equal to the sum of Area 1, Area 2 and Area 3
The Area 1 is a triangle
The Area 2 is a rectangle
The Area 3 is equal a semicircle
therefore
<u>the answer is the option</u>
a triangle, a rectangle, and a semicircle
To factor the given function, find a term that is divisible by both terms. For this problem, the factor would be 2, since 2x^2 and -18 are both divisible by 2.
2(x^2 - 9)
You could further factor out x^2 - 9 because it is factorable by (x - 3) and (x + 3). Thus, it would be
2(x -3)(x+3)