Answer: Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
Use these equations when converting polar equations to parametric equations:


We know that
, so substitute that into both equations for x and y.


Now, replace
with any variable that you want to represent the parametric equations in. I'll use the standard variable, 


Thus,
represented in parametric form is:

Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
The 99% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
Given that confidence is 99% then the level of significance is mathematically represented as


Next we obtain the critical values of
from the normal distribution table
The value is
Generally the margin for error is mathematically represented as

=> 
=> 
The 99% confidence interval is mathematically represented as

=> 
=> 
Answer:
The answer will be: C: 2<em>t </em>+ 10
Step-by-step explanation:
You can check the answer by replacing <em>t </em>with any number.
Example:
I want to find the perimeter for 3 triangles. Here's how I would write the equation.
2(3) + 10 = 6 + 10 = 16
We can check by adding all the sides for three triangles.
2 + 2 + 2 + 5 + 5 = 16
Hope this helped :)
Answer:
Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.
Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.
f is an arithmetic sequence.
Write an explicit formula for the sequence.
f(n) = 70n + 5
Step-by-step explanation: