X= 9 over 4 is the correct answer
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

, where
= Population standard deviation.
n= sample size
= Sample mean
z* = Critical z-value .
Given :
n= 49
Two-tailed critical value for 95% confidence interval = 
Then, the 95% confidence interval would be :-




Hence, the 95% confidence interval for estimating the population mean
:

Answer:
the answer is 14 hope it helps.
Step-by-step explanation:
Since triangle ADE is similar to triangle ABC and the scale factor is 2, the following relation must be fulfilled:

The, by substituting the given information, we have

By multiplying both sides by x+2, we get

which gives

Then, by subtracting 4x to both sides, we have

and by adding 8 to both sides, we obtain

then, x is given by

Then, by substitutn