Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
(
x
−
7
)
(
x
+
6
)
(
x
+
7
)
(
x
2+
66
)
(
x
−
4
)
Step-by-step explanation:
Given the coordinates of the image of line segment RT to be R'(-2,-4) and T'(4.4), if the image produced was dilated by a scale factor of 12 centered at the origin, to get the coordinate of the end point, we will simply multiply the x and y coordinates of by the factor of 12 as shown:
For R' with coordinate R'(-2,-4), the coordinates of endpoint of the pre-image will be:
R = 12R'
R = 12(-2, -4)
R = (-24, -48)
For T' with coordinate T'(4,4), the coordinates of endpoint of the pre-imagee will be:
T = 12T'
T = 12(4, 4)
T = (48, 48)
Hence the coordinate of the endpoint of the preimage will be at R(-24, -48) and T(48, 48)
I don't understand your question.. Is this multiple choice or something else?
Answer: (3.46, 3.62)
Step-by-step explanation:
The formula to find the confidence interval for population mean is given :-
, where n = sample size.
= Two-tailed t-value for significance level of
and degree of freedom df= n-1.
= sample standard deviation.
As per given , we have
mm
s= 0.20 mm
n= 25
Significance level 
Since population standard deviation is not given , it means the given problem has t- distribution.
Two-tailed t-value for significance level of
and degree of freedom df= 24:

95% Confidence interval for population mean:
Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)