Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is 
Step-by-step explanation:
From the question we are told that
The confidence interval interval is 
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows


Generally the margin of error is mathematically represented as

Where K is the length of the confidence interval which iis mathematically represented as


Hence


So the confidence interval can now be represented as

Answer: OPTION C.
Step-by-step explanation:
Observe the triangle ABC attached.
Notice that the angle of depression is represented with
.
Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of
by using arctangent:

In this case you can identify that:

Therefore, substuting values into
, you get that the angle of depression is:

10 - 2x = -5x -5
+2x +2x
10 = -3x -5
+5 +5
15= -3x
X= -5
Answer:
12.5%
Step-by-step explanation:
hope this helps and its right