Answer:
Step-by-step explanation:
Given : In a study investigating a link between walking and improved health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.
Claim : The true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes.
i.e. 
We know that the null hypothesis contains equal sign , then the set of hypothesis for the given situation will be :-
10x -15y=45
9x+15y= 12
19x= 57
x= 3
3(3)+5y= 4
9 + 5y = 4
5y = -5
y = -1
(3,-1)
Answer:
The scale factor of a dilation from ABCD to RSTU is 
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :


Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :


The scale factor (SF) is 
Answer:
The radius is 18 cm
Step-by-step explanation:
The formula for circumference with radius is
C = 2*pi*r
We know the circumference is 36 pi
36 pi = 2 * pi *r
Divide by pi
36 pi/pi = 2 * pi/pi *r
36 = 2r
Divide by 2
36/2 = 2r/2
18 = r