A cash box contains a certain number of coins, of which 63 are dimes, 33 are nickels, and the rest are quarters. If the probability of selecting a quarter from this bank is 1 5, how many quarters does the bank contain

There are 24 quarters in the cash box.

Step-by-step explanation:

Since a cash box contains a certain number of coins, of which 63 are dimes, 33 are nickels, and the rest are quarters, if the probability of selecting a quarter from this bank is 1/5, to determine how many quarters does the bank contain the following calculation must be performed:

1/5 = Quarters

4/5 = Nickels and Dimes

4/5 = 63 + 33 = 96

96/4 x 5 = X

24 x 5 = X

120 = X

120 - 96 = 24

Therefore, there are 24 quarters in the cash box.

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.