Answer:
- The two solutions are:
- The next and every step are below.
Explanation:
1. 
: Given (addition property / add - 3 to both sides)
2. 
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:
5. Divide both sides by - 2 to get the next expression:
6. The last step is to extract squere root from both sides of the equality:
Answer:
18
Step-by-step explanation:
16 |‾‾‾288‾‾‾
16 goes into 28 once = 1 (as the tens digit = 10)
28-16=12 (remainder)
128/16 =8
10 + 8 = 18
Answer:
15
Step-by-step explanation:
You have to find the total number of crayons whcih will be 21.
Then you do 21-6 ( red pencil) to get 15
15 pencil not read.
Answer:
Step-by-step explanation:
Group Before After
Mean 80.27 78.27
SD 12.76 12.92
SEM 3.85 3.89
N 11 11
df = 10
standard error of difference = 0.798
The mean of Before minus After equals 2.00
Given a=0.01, |t(0.005, df=10)|=3.17 (check student t table)
So 99% CI is
2±t*s
--> 2±3.17*0.798
--> -0.5 < µd< 4.5
Answer:-0.5 < µd< 4.5
