Answer:
The 95% confidence interval for those opposed is: (0.298, 0.334).
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 
.
For this problem, we have that:
1786 of the 2611 were in favor, so 2611 - 1786 = 825 were opposed. Then
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for those opposed is: (0.298, 0.334).
Answer:
28
Step-by-step explanation:
What you do is add up 42 and 76, then you subtract that from 180, because all triangles add up to 180. the subtracted amount is what z equals. Then since its a straight line you know it adds up to 180. You add z (62) and 90 because its a right angle. then you subtract 180 by 152 to get 28.
brianliest pls
Answer:
We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.
Step-by-step explanation:
hope this helps
200,000,000 + 40,000,000 + 9,000,000 + 100,000 + 4,000 + 300 + 30
Point B on the ground is 5 cm from point E at the entrance to Ollie's house.
Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.
The complete question is as follows:
Ollie has installed security lights on the side of his house that is activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m, and the distance from B to C is 6m. Angle ACB is 15°.
The objective of this information is:
- To find angle CAB and;
- Find the distance Ollie is from the entrance to his house when he first activates the sensor.
The diagrammatic representation of the information given is shown in the image attached below.
Using cosine rule to determine angle CAB, we have:
Here:
∠CAB = Sin⁻¹ (0.3451)
∠CAB = 20.19⁰
From the diagram attached;
- assuming we have an imaginary position at the base of Ollie Standing point called point F when Ollie first activates the sensor;
Then, we can say:
∠CBD = ∠GBF
∠GBF = (CAB + ACB)
(because the exterior angles of a Δ is the sum of the two interior angles.
∠GBF = 15° + 20.19°
∠GBF = 35.19°
Using the trigonometric function for the tangent of an angle.
BF = 2.55 m
Finally, the distance of Ollie║FE║ from the entrance of his bouse is:
= 5 - 2.55 m
= 2.45 m
Therefore, we can conclude that Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.
Learn more about exterior angles here:
