Answer:
<em> (n - 1)/2</em>
Step-by-step explanation:
F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)
= (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)
(there are n terms of 1)
= n - (1 + 2 + 3 + ... + n)/n
= n - [n x (n + 1)/2]/n
= n - [n x (n + 1)]/[2 x n]
= n - (n+1)/2
= (2n - n - 1)/2
= (n - 1)/2
Hope this helps!
Find a common denominator, then add and simplify
The center of dilation <em>Y</em> is the point from which the other points expand or
contract away from or towards.
The true statement about A'Y' is; <u>Line A' Y' passes through the center of dilation</u>..
The given parameters are;
The scale factor of dilation of ΔXYZ = 3
The point of dilation = Point Y
Line YA is vertical (perpendicular) to the base XZ
In a dilation transformation, the extension or compression of the points
are relative to the center of dilation.
Following the dilation, the line AY is extended along AY to A' Y', therefore,
passing through the point <em>Y</em> which is the center of dilation.
<em />
The option that is true is therefore; Line A' Y' passes through the center of
dilation (which is written as <u>line A prime Y prime passes through the center </u>
<u>of dilation</u>)<u>.</u>
Learn more here:
brainly.com/question/19246734
The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.
V=HπR^2-3(4πr^3)/3
V=HπR^2-4πr^3 where H=height of can, R=radius of can, r=radius of ball
We are told H=7, R=1.5, and r=1.125 (2.25/2=d/2=r) so
V=7π1.5^2-4π1.125^3
V=15.75π-5.6953125π in^3
V≈31.58 in^3
Answer:
Probability of no one picking up a defective product = 571 / 1540
Step-by-step explanation:
Total number of items = 22
non-defective items = 22-3 = 19
Probability of all three picking up non-defective products
= 19/22 * 18/21 * 17/20
= 969/1540
Probability of at least one picking up a defective product
= 1 - 969/1540
= 571/1540
(=0.371, approx.)