Answer:
-2
Step-by-step explanation:
because we can solve and get answer
Answer:
They need to survey 4145 residents.
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 z-score that has a p-value of 
.
The margin of error is given by:
99% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which 
. As we have no estimate for the proportion, we use 
. So
Rounding up:
They need to survey 4145 residents.
The measure of segment AD in the similar triangle is 45.07 mm
<h3>What are
similar triangles?</h3>
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, their corresponding angles are congruent.
Triangle FEA and triangle ABC are similar triangles by the angle angle similarity postulate, therefore:
13/AD = 15 / (15 + 37)
AD = 45.07 mm
The measure of segment AD in the similar triangle is 45.07 mm
Find out more on similar triangles at: brainly.com/question/2644832
#SPJ1
Answer: 19.47°
Step-by-step explanation:
In solving problems like this, it's best to work on a diagram (see attached image). First, given the angle formed by the ramp and the length of the ramp, we can apply the properties of right triangles and recall that
Hence, we have
Now that we have the window's height, we can compute for the angle, θ, if the ramp has a length of 15.
Therefore, for the 15-foot ramp to reach the window, the ramp must form an angle of 19.47°.
Answer: 19.47°
