Answer:
x = 12
Step-by-step explanation:
Simplifying
6x + -2(-3x + -5) = 154
Reorder the terms:
6x + -2(-5 + -3x) = 154
6x + (-5 * -2 + -3x * -2) = 154
6x + (10 + 6x) = 154
Reorder the terms:
10 + 6x + 6x = 154
Combine like terms: 6x + 6x = 12x
10 + 12x = 154
Solving
10 + 12x = 154
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 12x = 154 + -10
Combine like terms: 10 + -10 = 0
0 + 12x = 154 + -10
12x = 154 + -10
Combine like terms: 154 + -10 = 144
12x = 144
Divide each side by '12'.
x = 12
Simplifying
x = 12
<h3>
Answer: $1,143.60</h3>
Work Shown:
A = P*(1+r/n)^(n*t)
A = 800*(1+0.18/12)^(12*2)
A = 1,143.60224954321
A = 1,143.60
Notes:
- P = 800 is the principal. It is the amount loaned to Jake.
- r = 0.18 is the decimal form of the 18% interest rate
- n = 12 because we're compounding monthly, i.e. 12 times a year
- t = 2 = number of years
- For more information, check out the compound interest formula.
Changing from Two-sigma limits to three-sigma limits helps to reduce the probability that defects will be generated by the process. Hence the correct answer is C.
<h3>
What is a Two-Sigma Limit?</h3>
This is used to refer to the inclusion of about ninety-five percent of data plotted on the normal distribution curve.
Three sigma-limit on the other hand is a statistical calculation where data fall within three standard deviations from a mean.
If in a manufacturing firm, the quality control unit issues out a polity to reject products that are within two standard deviations to their accepted mean, then more errors will be captured thus resulting in a lot of loss or defective products.
Learn more about Two-Sigma Limits at:
brainly.com/question/15581863
Answer:
beach litter data that had been collected by the TG Marine Litter. ... (e.g. littering fines, voluntary restrictions, additional waste.
