If the series is made up of numbers in an arithmetic progression, you have
where
is the first term and
is the common difference between terms.
Since the last term in the series is
, you have
Solve the system
and you'll find that the first term is
(with
).
I'm going to convert all the values given to you in percentages, so hopefully you should be able to see the correct answer a little clearer. :)
Debbie said that 21/50 drink coffee in the morning. 21/50 can also be written as 42/100, and now that it's out of 100, it's basically a percentage. (42%).
Allen said that 45% of people drink coffee in the morning. His value is already written as a percentage, so we won't do anything with it.
Benny says that 0.495 of the people he surveyed drink coffee in the morning. 0.495 is the same as 49.5% (multiply it by 100 to get it in a percentage).
So, in Debbie's survey, 42% of people drink coffee.
In Allen's survey, 45% of people drink coffee.
In Benny's survey, 49.5% of people drink coffee.
Therefore, the answer is Benny's survey. :)
Two squares are created from a cross section of a cube
Answer:
x=-3
Step-by-step explanation:
Hi there!
<u>1) Determine the slope</u>
Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.
Now, because this line will also be a vertical line, it will also be organized like:
x=d
<u>2) Determine the x-intercept (d)</u>
Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).
Plug this into x=d:
x=-3
I hope this helps!
Answer:
v = 11.41 yards/second
Step-by-step explanation:
Given that,
In August 2009, Usain Bolt run 100 m in 9.58 seconds.
1 yard = 0.9144 m
It means,
100 m = 109.361 yards
We need to find Usain Bolt's average speed in yards per second.
Average speed = total distance/time taken
So, her average speed is 11.41 yards/second.
