Answer:

Step-by-step explanation:
Fixed monthly fee = $20
Amount charged per minute for long distance calls = $0.20
denotes total cost such that
minutes are used for long distance calls.
Amount charged for
minutes for long distance calls 
Therefore, an equation for the total cost, C, when N minutes are used for long distance calls is 
Answer:
a) X ~ 
b) μ = 100/3
c) 
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~ 
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is 
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.
<h3>What is the scenario under the balloon game?</h3>
The rule of play are:
This is a classic game with simple rules which are:
- Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
- Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.
A scenario of the worksheet game whose expected value is 0 is given below:
Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.
Solution
Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.
(4)(0.313) + (-1)(0.313)
= 0.939 approximately
Thus, the expected value is $0.939 which tells that the game is fair.
Learn more about fair play from
brainly.com/question/24855677
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The volume of the pyramid is 167.6 cube inch (approx).
Step-by-step explanation:
Given,
Each length (l) of the base of the pyramid = 8.3 in
Height(h) of the pyramid = 7.3 in
To find the volume of the pyramid.
Formula
Volume of the pyramid =
×area of the base×height
Area of the base = l²
Now,
The volume of the pyramid =
×l²×h
=
×8.3²×7.3 cube inch = 167.6 cube inch (approx)