A. C(13, 10) = 13! = 13·12·11 = 13 · 2 · 11 = 286.C(13, 10) = 13! = 13·12·11 = 13 · 2 · 11 = 286.
B. P(13,10)= 13! =13! =13·12·11·10·9·8·7·6·5·4.
(13−10)! 3!
C. f there is exactly one woman chosen, this is possible in C(10, 9)C(3, 1) =
10! 3!
9!1! 1!2!
10! 3!
8!2! 2!1!
10! 3!
7!3! 3!0!
= 10 · 3 = 30 ways; two women chosen — in C(10,8)C(3,2) =
= 45·3 = 135 ways; three women chosen — in C(10, 7)C(3, 3) =
= 10·9·8 ·1 = 120 ways. Altogether there are 30+135+120 = 285
1·2·3
<span>possible choices.</span><span>
</span>
Let u = x.lnx, , w= x and t = lnx; w' =1 ; t' = 1/x
f(x) = e^(x.lnx) ; f(u) = e^(u); f'(u) = u'.e^(u)
let' find the derivative u' of u
u = w.t
u'= w't + t'w; u' = lnx + x/x = lnx+1
u' = x+1 and f'(u) = ln(x+1).e^(xlnx)
finally the derivative of f(x) =ln(x+1).e^(x.lnx) + 2x
So tripple of 3/4 is 3/4 times 3/1=9/4=2 and 1/4
she has 1 and 5/8
compare 1 and 5/8 and 2 and 1/4
convert 1/4 to 2/8
she has 1 and 5/8 but she needs 2 and 2/8
1=8/8
1 and 5/8 and needs 1 and 10/8
1 and 5/8+x=1 and 10/8
subtract 1
5/8+x=10/8
subtrarct 5/8
x=5/8
she must borrow 5/8 cups from neighbor
183891 is the answer but you have to subtract it
A) 150% of the original price is the increased price.
B) 66.66% of the increased price is the original price.
<u>Step-by-step explanation:</u>
Original price = $300
Increased price= $450
A) the increased price = 450
Percent of the increased price = (450/300) 100
= 150%
150% of the original price is the increased price.
B) percent of the original price= (300/450) 100
= 66.66%
66.66% of the increased price is the original price.
