C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84
this equals = 3 4/40 =☆ 3 1/10☆
Number 3.) The answer to this one is x=-14
That is because when a line is undefined it goes as x = (whatever number it is on)
Currency Ln. is undefined and you have to find a line parallel so that's why it's x = -14
Number 4.)
So it says that the new street will be parallel to Market Blvd. meaning that they will have the same slope
Find the slope of Market Blvd.
Rise/Run
the slope is negative as it goes down from left to right
it goes down 7 and over 1
slope = -7
and it will pass through the point (-1, 5)
to find the y-intercept we plug in the points to y = mx + b
5 = -7(-1) + b
5 = 7 + b
subtract 7 from both sides
-2 = b
Plug all the info into the slope intercept we get:
y = -7x -2
So your answer is G
Number 5.)
If a line is parallel to another line, that means they have the same slope
So here you just need to find the slope of the line named "Bear Street"
Slope is the change in y over the change in x
or the rise/run
The rise is 1
and the run is 7
it is a positive slant as the line goes up from left to right
so the slope is
1/7
Or D.) 1/7
Hope this helps :)
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
Step-by-step explanation:
oh come on ! you can see that with common sense : it is 2)
while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.
and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).
as I keep saying : never trust a statistic you have not falsified yourself ...
