Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.
Answer:
Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:
where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:
- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:
Therefore, the area of the triangle is:
Answer:
n=9
Step-by-step explanation:
because 3 times 9 =27 plus 17 =44
Csc(x) = 1/sin(x)
sec(x) = 1/cos(x)
cot(x) = [1/sin(x)] / [1/cos(x)]
cot(x) = 1/sin(x) * cos(x)/1
cot(x) = cos(x) / sin(x)
cot(x) = cot(x)
Answer:
Wesley needs 32 displays for his stamp collection
Step-by-step explanation:
480 stamps in total.
15 stamps in each case
480/ 15= 32
