Answer:
Figure obtained - Cylinder
Surface area of the cylinder is 1224π square units.
Step-by-step explanation:
When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.
Surface area of the cylinder = 2πr(h + r)
By substituting r = 17 units and h = 19 units in the given formula,
Surface area = 2π(17)(17 + 19)
= (34)(36)π
= 1224π
Therefore, surface area of the cylinder is 1224π square units.
Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
The answer to this equation is A) 50 times larger
Answer:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
And we have:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.