24 + x = 68 so 68-24=x.
68-24=44
Sarah's mother is 44
Answer:
P=22cm
Step-by-step explanation:
L=8cm
b=(x–5)cm
A=(3x)cm²
we know that:
P=2(l+b)
and that
A=lb= 8(x–5)=8x–40
we have been given the value of A which is 3x, substituting into the equation for Area
=> 3x=8x–40
rearranging
=> x=8
therefore the breadth is (x–5)=(8–5)=3cm
=> P=2(8+3)=2(11)=22cm
hence, the perimeter of the rectangle is 22cm.
Suppose order does not matter, then combinations will consist of 0 to 3 of the singleton colors, and 5 to 8 that are some combination of red, white or blue. This implies that we shall formulate the answer as the sum from k=0 to k=3 of:
N=(Number of ways to pick k of the single colors)*(number of ways to pick 8-k balls from red, white pr blue)
The first factor is C(3,k), let's call the second factor A(8-k), where A(n) is the number of combinations or red, white or blue when n balls are selected. Given that we want to express A(n) as a formula in terms of n, let's say there are r red balls in a combination (0≤r≤n). Then there are (n-r) balls that are either white or blue that have been left over. Thus, the number of white balls must be integer from 0 to (n-r), for the universe of (n-r+1) possibilities. Hence, the rest are blue in exactly one way, so A(n) is the sum over r=0 to n:
A(n)=∑(1+n-r)
A(n)=(n+1)(n+1)-n(n+1)2
=(n+1)(2n+2-n)/2
=(n+1)(n+2)/2
thus
A(5)=6*7/2=21
A(6)=7*8/2=28
A(7)=8*9/2=36
A(8)=9*10/2=45
The total will give:
N=C(3,0)*A(8)+C(3,1)*A(7)+C(3,2)*A(6)+C(3,3)*A(5)
N=1*45+3*36+3*28+1*21=258
The answer is 258
Answer: There you go, hope it helps!
Step-by-step explanation:
Okay,not sure if this is what you're looking for but hope this helps :)
When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables