Johanna is trying to find the probability that a cup will land open end up. she takes the cupand tosses it in the air 100 times and each time records if it lands open end up or open end down. she finds that 63 times the cup lands open end up. what is the probability that the cup will land open end down

37/100 or 0.37.

Step-by-step explanation:

The cup lands open end up 63 times out of 100.  This means that

100-63 = 37 times out of 100, the cup lands open end down; this is

37/100, or 0.37.

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

this doesn't make sense lol