Answer: x = 7
Step-by-step explanation:
To solve the equation,
First step, open the bracket
3(x-5)-14=2(x-7)+2
3x -15 -14 = 2x -14 +2
Then, add the like terms
3x - 29 = 2x -16
Transpose the values at the right hand side to the left hand side
3x - 2x = -16 + 29
x = 7
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the population mean for the prices of slice toasters.
Number of sample, n = 12
Mean, u = $61.12
Standard deviation, s = $24.62
For a confidence level of 95%, the corresponding z value is 1.96.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
61.12 ± 1.96 × 24.62/√12
= 61.12 ± 1.96 × 7.107
= 61.12 ± 13.93
The lower end of the confidence interval is 61.12 - 13.93 =47.19
The upper end of the confidence interval is 61.12 + 13.93 = 75.05
Factor out the common term "2".
2(13x+2y) = 54
Now, divide both sides by 2.
13x + 2y = 54/2. <-- <u>We could not divide into a whole number so it's a fraction.</u>
<u />
Simplify 54/2 to 27.
13x + 2y = 27 <--- <u>Since we have a whole number without a letter, we are done with that side.</u>
<u />
Now, we subtract 2y from both sides.
13x = 27 - 2y
Divide both sides by 13.
x = 27 - 2y/13.
<h3>Therefore, we get <u>x = 27 - 2y/13</u></h3>
That would be our final answer.
Good luck on your assignment!
- Emacathy
Answer:
0.3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
Given function = p(x) = (6x-4)/x
First we will calculate p(1) and p(3)
p(1) = (6(1) - 4)/1 = 6-4 = 2
p(3) = (6(3) - 4)/3 = (18-4)/3 = 14/3
Rate of change on interval [1,3] = [p(3) - p(1)]/(3-1)
=> (14/3 -2)/(2)
=> (14-6)/(3*2)
=> 8/6
=> 4/3
So average rate of change is 4/3
