grace and her friends were to roll the two dice 100 times, how many of the 100 times could they expect to roll the same number on each die? (In other words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.)

The probability of both dice having the same number is 636, as there are 36 different outcomes, 6 of which have two of the same number, i.e. (1,1),(2,2),

The expected number of rolls of this type in 100 pairs of dice rolls is 100∗636

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: