Answer:
a. .92
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error of the interval is:

The lower bound is the point estimate
subtracted by the margin of error.
The upper bound is the point estimate
added to the margin of error.
Point estimate:
The confidence interval is symmetric, so it is the mean between the two bounds.
In this problem:

Sample of 400, which means that 
Margin of error is the estimate subtracted by the lower bound. So 
We have to find z.




has a pvalue of 0.96.
This means that:




Confidence level:

So the correct answer is:
a. .92
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.

∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :

Plugging in values.

Multiplying both sides by 400.


∴ 
Height of flagpole = 571 ft
I need point 4,7 so lemme get this pls and thx
Answer: Second Option

Step-by-step explanation:
The formula for calculating the average rate of change between two values of x (
and
) is:

and
are the values of the function when
and 
In this case

Observe that when
,
and when
, 
Finally the average rate of change from 3 to 6 storms is:


Answer:
C. The domain is (-1,+∞), and the range is all real numbers.
Step-by-step explanation:
The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1
and the range is all real numbers.
check the attached picture for the graph.