You roll a standard number cube 7 times Assume that each number is equally likely to come up each time you roll To the nearest tenth of a percent the probability that number less than 3 comes up exactly 4 of the 7 times

0.4%

Step-by-step explanation:

If we are looking to have a number less than 3 rolled 4 out of 7 times.

Our winning numbers are 1 and 2. Our losing numbers are 3, 4, 5, and 6.

This means that our winning percentage is 33.3% and our losing percentage is 66.6%.

We need to multiply these numbers together taking our number of rolls into account.

.333 * .333 * .333 * .333 * .666 * .666  * .666 = 0.0036

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.