Answer:
Suppose we roll a six-sided number cube. Rolling a number cube is an example of an experiment, or an activity with an observable result. The numbers on the cube are possible results, or outcomes, of this experiment. The set of all possible outcomes of an experiment is called the sample space of the experiment. The sample space for this experiment is \displaystyle \left\{1,2,3,4,5,6\right\}{1,2,3,4,5,6}. An event is any subset of a sample space.
The likelihood of an event is known as probability. The probability of an event \displaystyle pp is a number that always satisfies \displaystyle 0\le p\le 10≤p≤1, where 0 indicates an impossible event and 1 indicates a certain event. A probability model is a mathematical description of an experiment listing all possible outcomes and their associated probabilities. For instance, if there is a 1% chance of winning a raffle and a 99% chance of losing the raffle, a probability model would look much like the table below.
Outcome Probability
Winning the raffle 1%
Losing the raffle 99%
The sum of the probabilities listed in a probability model must equal 1, or 100%.
Step-by-step explanation:
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Answer with Step-by-step explanation:
Suppose that a matrix has two inverses B and C
It is given that AB=I and AC=I
We have to prove that Inverse of matrix is unique
It means B=C
We know that
B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.
B=B(AC)
B=(BA)C
Using associative property of matrix
A (BC)=(AB)C
B=IC
Using BA=I
We know that C=IC
Therefore, B=C
Hence, Matrix A has unique inverse .
Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
<em>f(p) =-40p^2+1100p</em>
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.
Chris started with $70 in the savings account
What is the equation representing the scenario?
The equation representing the scenario painted in the question is: one half times x plus 15 equals 50
1/2*X+15=50
X/2+15=50
X/2=50-15
X/2=35
X=35*2
X=70
In short the amount Chris started with in the savings account is $70
Find out more about savings plan equation on:brainly.com/question/23630456
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