Answer: 0.8 radians
Step-by-step explanation:
To solve this exercise you must apply the formula shown below:

Where S is the arc lenght, r is the radius of the circle and
is the central angle in radians.
Solve for the central angle:

Now, when you susbtitute the value of the arc length and the radius, you obtain that the central angle is:

Since the line stops at the point (6, 7), then it means that the height of the triangle made is 7 units and the base is 6 units long.
An angle, θ, is made at the line that joins the origin and the point (6, 7).


Hence,
Answer:
0.089
Step-by-step explanation:
Since there are 9 art majors, the probability of the first student being chosen is 9 out of the 29 students total. The second student is being chosen from a sample of 28 students and 8 art majors.
9/29=.31
8/28= .286
.31 x .286=0.089
Answer:
-$1.33 or lose $1.33
Step-by-step explanation:
In this game, there are two possible outcomes.
- There is a 2 in 6 chance (rolling a 5 or a 6) that you win $8.
- There is a 4 in 6 chance (rolling a 1, 2, 3 or a 4) that you win nothing.
Note that for any outcome, you start off paying $4 to play.
The expected value of this game is:

You are expected to lose $1.33 per play.