Hi !

must be different from 0.


Have a nice day ;)
The angle formed by two tangles results in half of the difference of the two arcs.
That is to say
70 = .5(Major arc - minor arc)
Think of the major arc as the larger and the minor the smaller.
So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.
140 = major arc - minor arc.
Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.
140 = major arc - x
360 = major arc + x
Use linear combination and add these equations to get
500 = 2*major arc
major arc = 250
minor arc or x = 110.
The answer is 110 degrees.
The expected value of the game is its average earnings
- The expected value of a round is $2.23
- The expected value when the game is played 755 times is $1683.65
<h3>How to determine the expected value of a round</h3>
There are 12 cards with a value of 4 or less.
So, the probability of selecting a card with a value of 4 or less is:

The probability of selecting a card with a value more than 4 is the complement of the above probability.
So, we have:


The expected value is then calculated as:

Evaluate


Simplify

Hence, the expected value of a round is $2.23
<h3>The expected value when the game is played 755 times</h3>
In (a), we have:

In probability, we have:

So, we have:


Hence, the expected value when the game is played 755 times is $1683.65
Read more about expected values at:
brainly.com/question/15858152
14.14 inches
Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14
Another viable method is to do 2pi*6*135/360=14.14
Answer = 2
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