You are opening boxes of cereal one at a time looking for your favorite prize, a Captain America decoder ring, which is in 15% of the boxes. How many boxes would you expect to open, on average, until you find your favorite prize

6 or 7 boxes (I'd suggest you say 7 because it's rounding up)

Step-by-step explanation:

15 out of 100 boxes contain the Captain America decoder ring.

3 out of 20 boxes contain the Captain America decoder ring.

1 out of roughly 7 boxes contain the Captain America decoder ring.

You need to open about 6 or 7 boxes (6.66...)

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

-6 is the correct option from the above given options