Answer:
The required probability is :
Step-by-step explanation:
Three married couples have purchased theater tickets and are seated in a row consisting of just six seats.
First we will check the total arrangements that is 6! ways.
6! =
Jim and Paula can sit at far left in 2 ways and the remaining 4 in 4! ways,.
So, probability will be =
=
=
=
Answer:
Step-by-step explanation:
Let x be the number of miles.
We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.
Let us find the number of miles that Sully can drive with 16 gallons.
This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.
As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.
Upon substituting slope and y-intercept in slope-intercept form (y=mx+b), we will get our function as:
Therefore, our required function will be: .
In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5
<h3><u>Answer:</u></h3>OPTION D
The exponent in Sam’s product is -5
<h3><u>Solution:</u></h3>Given that,
In math class, Sam correctly multiplied by 500, then reported his product in scientific notation.
<em><u>To find: exponent in Sam’s product</u></em>
Let us first multiply 500 with
Then Sam has reported this answer in scientific notation
Lets understand what is scientific notation of any number.
Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.
Let us rewrite the Sam's answer in scientific notation
<em><u>The format for writing a number in scientific notation is:</u></em>
(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).
In , we move the decimal 3 times to left side
Since the decimal is moved left side, we multiply by
Exponent is a quantity representing the power to which a given number or expression is to be raised
So in exponent is -5