The sum of three consecutive integers is 267. What is the largest integer?

1 answer:

7 0

Let the integers be x + (x+1) + (x + 2)

x + (x+1) + (x + 2) = 267 

3x + 3 = 267 
3x = 264 
x = 88 

88+89+90=267 

Largest integer=90 

Another method 

267/3 = 89 

It's the average,so it has to be the middle one. 

Thus 89, then I took 89 - 1 = 88 and 89 + 1 = 90 and just put them in order. 

88+89+90=267 

Largest integer=90

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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

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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,

$\mu_y=20,000+3.50\mu_x$