Answer:
Yes, the transformation is a 270° clockwise rotation
Step-by-step explanation:
(-3, 4) ,( -4, 7) and (-2,7) transformed to (-4, - 3), (-7, -4) and (-7, -2).
Rule for 270° clockwise rotation:
(x, y) --> (- y, x)
A transformation that doesn't change the size or shape of an object.
So answer is:
Yes, the transformation is a 270° clockwise rotation
0.1 liters = 100 milliliters
Given:
A(16, 4)
B(34, 40)
Line segment AB partition in the ratio 1 : 5.
To find:
The coordinate of a point that partitions AB.
Solution:
Section formula:

Here
and m = 1, n = 5




The coordinate of point that partitions the segment AB is (19, 10).
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 25
The sample mean is 
The standard deviation is 
Let assume the level of significance of this test is 
The null hypothesis is 
The alternative hypothesis is 
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the student t distribution table the probability of obtaining
to the right of the curve at a degree of freedom of
is

From the value obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.