Answer:
w > 9
Step-by-step explanation:
Solve the inequality by using inverse operations.
-4w - 2 < -38
-4w < -36
w > 9
Like solving equations, inequalities should be solved using inverse operations. However, unlike equations, when you divide or multiply by a negative the sign changes.
Answer:
C'
Step-by-step explanation:
Given
ABCD to A'B'C'D'
Required
Corresponding angle of C
ABCD to A'B'C'D' means that the following angles are corresponding
Hence, C' corresponds to C
Answer:
12
Step-by-step explanation:
Use pythag to solve.
x^2+5^2=13^2
x=12
Answer:
Confidence limit = [52.8%, 75.2%]
Step-by-step explanation:
± 
where the value will be taken from the z-table for 95% confidence interval
1-0.95= 0.05/2= 0.025
0.95+0.025= 0.0975
From the z-table the value of corresponding to 0.0975 is 1.96
± 
± 
± 
% ± 
%
so the confidence interval is
%
%
![[52.8, 75.2]](https://tex.z-dn.net/?f=%5B52.8%2C%2075.2%5D)
The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
