Answer:
The probability is 
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function
with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is

We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)
so
ST²=RT*QT
RT=7 in
QT=23+7-----> 30 in
ST²=7*30-----> 210
ST=√210-----> 14.49 in
the answer is
RT=14.49 in
Answer :
(a) Amount paid after using the coupon = $b - $5 = $(b-5)
(b) Amount paid = $23.45 - $5 = $(23.45-5) = $18.45
Amount paid = $54.83- $5 = $(54.83-5) = $49.83
Step-by-step explanation :
As we are given that:
Amount of coupon = $5
If amount of total bill = $b
Now we have to calculate the amount paid after using the coupon.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid after using the coupon = $b - $5 = $(b-5)
Now we have to calculate the amount paid if bill was $23.45.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid = $23.45 - $5 = $(23.45-5) = $18.45
Now we have to calculate the amount paid if bill was $54.83.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid = $54.83- $5 = $(54.83-5) = $49.83
Very simple, we don’t know the units on the graph but I can tell you it will be linear until when it breaks the rule and goes .2 grams one year
Answer:
4,845
Step-by-step explanation:
Hope this helps:)