Answer:
The 95% confidence interval is 
A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
=> 
Next we obtain the critical value of
from the normal distribution table , the value is

Generally the margin of error is mathematically represented as

substituting values


The 95% level of confidence interval is mathematically represented as

substituting values


The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Answer:
Step-by-step explanation:
(2n³ - 3n⁴ + 7n) - (n³ - 8n⁴ - 7n) = 2n³ - 3n⁴ + 7n - n³ + 8n⁴ + 7n
{Here -1 is distributed }
= <u>2n³ - n³</u> -<u> 3n⁴ + 8n</u>⁴ +<u> 7n + 7n</u>
{Combine like terms}
= n³ + 5n⁴ + 14n
<span>There’s a spinner with 8 sections in total with different colors. 2 red, 2 green, 2 yellow, and 2 blue.
To find the probability of the spinner landing on any color, simply take
(number of color)/(total)
To find the probability of landing on red, there are 2 reds, and 8 total. So,
2/8 = 1/4
To find the probability of landing on blue, there are 2 blues, and 8 total. So, 2/8 = 1/4. The same as before.
Flipping a coin gives a 50/50 or equal chance between two events. We should pick the answer that has only two events. That would be a true/false test since there are only two choices in this situation.</span>
Choice B is the correct answer. You can do this yourself by graphing on Desmos.