In a sample with m = 40 and s = 8, what is the z-score corresponding to x = 38?
2 answers:
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Answer:
See explanation
Step-by-step explanation:
Let be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
2. The auditorium can accommodate up to 180 spectators, hence
3. We get the system of inequalities:
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise
Answer:
The mean of the total payments she will receive is $79,500.
The standard deviation of the total payments she will receive is $14,000.
Step-by-step explanation:
Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.
To find : The mean and standard deviation of the total payments she will receive ?
Solution :
Let 'x' represent total sales of the book.
Let 'y' represent the payment to the author.
According to question,
The mean of the total payments she will receive is given by,
Where,
Substitute in the equation,
The mean of the total payments she will receive is $79,500.
The standard deviation of the total payments she will receive is given by,
Where,
Substitute in the equation,
The standard deviation of the total payments she will receive is $14,000.