Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer: <em>The answer is 44.</em>
Step-by-step explanation:<em> </em><em>The answer is 44 because if half the area of the circle is 22 all you have to do is 22+22 or 22*2.</em>
<em />
<em>22+22=44 22*2=44</em>
Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be
:p=0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z= where
- p(s) is the sample proportion of specimens yield before the theoretical point ()
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z= =0.3953
and the P-value is then P(z)≈0.3463
45 i guessStep-by-step explanation: