Answer:
2nd option is the correct one
Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For 
,
For 
,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .
Answer is D... the -3 outside the absolute/parenthesis shifts is down
Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 9 = 7x + 9 ( subtract 7x from both sides )
2x - 9 = 9 ( add 9 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72
MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72
Answer:
c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.
Step-by-step explanation:
Given that veterinary researchers at a major university veterinary hospital calculated a 99% confidence interval for the average age of horses admitted for laminitis, a foot disease that leaves the horse severely lame, as 6.3 to 7.4 years.
i.e. if X is the age of horses admitted for laminitis then the sample mean i.e. x bar follows a distribution with 99% confidence interval as
(6.3,7.4)
The interpretation of 99% confidence interval is the for sample of large size drawn at random from population we can be 99% confident that the sample mean will fall within this interval.
So the correct option is
c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.
