Answer:
3: 2q − 4 = 20
Step-by-step explanation:
Solve for q:
2 q - 4 = 20
Add 4 to both sides:
2 q + (4 - 4) = 4 + 20
4 - 4 = 0:
2 q = 20 + 4
20 + 4 = 24:
2 q = 24
Divide both sides of 2 q = 24 by 2:
(2 q)/2 = 24/2
2/2 = 1:
q = 24/2
The gcd of 24 and 2 is 2, so 24/2 = (2×12)/(2×1) = 2/2×12 = 12:
Answer: q = 12
Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form 
, you need to find the Discriminant with this formula:
For the equation 
you can identify that:
Then, substituting these values into the formula, you get that the Discriminant is:
Since 
, then has two distinct real solutions.
Answer:
Mean = 0.2(100) = 20
Variance = 0.2×0.8×100 = 16
Standard deviation = 4
Yes, np > 5 & nq > 5
9514 1404 393
Answer:
(b) Symmetric property of congruence
Step-by-step explanation:
a) The transitive property says if a=b and b=c then a=c
b) The symmetric property says if a=b then b=a
c) The substitution property says if a=b and a=c then b=c
d) The reflexive property says a=a
__
The property of congruence of interest here is the <em>symmetric property</em>.
<h3><u>The value of y is equal to 1.</u></h3>
7(y - 3) = 2(y - 9) + 2y
Distributive property.
7y - 21 = 2y - 18 + 2y
Combine like terms.
7y - 21 = 4y - 18
Subtract 4y from both sides.
3y - 21 = -18
Add 21 to both sides.
3y = 3
Divide both sides by 3.
y = 1
