Answer:
D)We are 95% confident that the proportion of adults (ages 17‐26) who attended college during the past 4 years and say that alcohol and drug use at their school is a big problem is between 53% and 59%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true proportion for the population of adults who attended college who say that alcohol is a big problem is between 0.53 and 0.59. This means that the answer is given by option D.
Answer:
A = 0 +/- nπ radians , where n is an integer.
Step-by-step explanation:
cos 2A = cos^2 A
Use the identity cos 2A = 2 cos^2 A -1 :
2cos^2 A - 1 = cos^2 A
cos^2 A = 1
Cos A = +/-1
When cos A = 1, A = 0 +/- 2nπ radians.
when cos A = -1, A = π +/- nπ radians.
-6 = -3x -12
6 = -3x
x = -2
y = -3(-2) -12
y = 6 -12
y = -6
(-2,-6)
Since these are alternate interior angles, they are equal. So, you would set them equal to each other (-5+13x=60). Then, add 5 to both sides to get 13x=65. Divide 65 by 13 to get the final answer, x=5
Answer:
15
Step-by-step explanation:
gradient=(change in Y coordinate/change in X coordinate)
=y1-y2/X1-X2
