3(x+1) = 2(x-8) + 3. First, remove the parentheses by distributing (multiplying out the numbers):
3x + 3 = 2x - 16 + 3.
Then, combine any like terms on the same side of the equals sign;
3x + 3 = 2x -13.
Then, move the like terms on opposite sides of the equals sign to the same side of the equals sign (don't forget to change the signs)..
3x -2x = -13 - 3.
Then combine the like terms on the same side of the equals sign again.. x = -16 .
4,034.06 ,5,965.94 are confidence interval for the population average wages at the factory.
What is confidence interval estimation?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.
If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. Another term for probability in statistics is confidence.
The formula for confidence interval estimation is:
μ = M ± Z(sM)
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
M = 50000
Z = 2.58
sM = √(30002/64) = 375
μ = M ± Z(sM)
μ = 50000 ± 2.58*375
μ = 50000 ± 965.94
μ = 4,034.06 ,5,965.94
Learn more about confidence interval
brainly.com/question/24131141
#SPJ1
2⅔ to a decimal is 2.66.
2.66 * 2.5 = 6.65
6.65 is nearly 6.66 which is 6⅔, so the answer is 6⅔.
Answer:
<h3>147.6 pounds of food</h3>
Step-by-step explanation:
Each box weighed 16.4pounds, if the volunteers packed 9 boxes, we need to calculate the total pounds of food collected. Using the equality postulate;
1 box = 16.4 pounds
9 boxes = x pounds of food
Cross multiply;
1 * x = 9 * 16.4
x = 147.6 pounds of food
Hence the volunteers collected 147.6 total pounds of food
