The standard deviation of a sample is proportional to 1/√N where N is the sample size. In this case we are decreasing N by half, so we can write:
1/√(N/2) = √2 / √N
If we say that our standard deviation is proportional to 1/√N, the difference that occurred from decreasing the sample size by half resulted in an increase in the standard deviation by a factor of √2.
Therefore, the standard deviation is multiplied by √2.
if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are <u>not</u> part of the solution.
i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3
A = first number (larger number)
b = second number (smaller number)
a = 8b
a - b = 70 *
* since a is the larger number and their difference is positive, we want a-b.
plug the first equation into the second to get :
a - b = 70
(8b) - b = 70
8b - b = 70
Your correct answer would be choice #2.
Answer:
140
Step-by-step explanation:
46+94 = 140
All you have to do here is multiply 230 by .5 and you get 115.
They are 115 inches apart on the map.
Hope this helped! :)
