Given:
On a number line, point A is at -6 and point B is at 7.
To find:
The distance between point A and point B.
Solution:
In the given number line,
Point A = -6
Point B = 7
We need to find the difference between point A and point B to find the distance between them.
Since 7 > -6. therefore,




Hence, the distance between point A and point B is 13 units.
Answer:
-3
Step-by-step explanation:
you subtracted 3 from the original amount
Let sample in Texas be p1, Louisiana be p2.
Null Hypothesis:
p1 - p2 = 0
Alternative Hypothesis: (This represents the claim)
p1- p2 < 0
To calculate test statistic, you need the pooled estimate which is a weighted average of the 2 sample proportions.

Next get standard error:

Calculate test statistic:

To find p-value, look up Z-value in standard normal table.
Anything smaller than -3 or larger than 3, you can estimate to have
p-value = 0.
If p-value < alpha, Reject Null Hypothesis.
For this example, 0 < 0.05, therefore reject null hypothesis.
There is evidence to support claim that proportion of smokers in Texas is LESS than Louisiana.
Answer:
The transformation is (y,-x)
Step-by-step explanation:
To know the mapping notation, we need to know the coordinates of the image and the pre-image
For the pre-image, we have;
A(3,8)
B(6,8)
C(6,2)
For the image, we have
A’( 8,-3)
B’ (8,-6)
C’ (2,-6)
So let us try and get the transformation from the coordinates
We can see that this is;
(x,y) to (y,-x)