Answer:
The answer is below
Step-by-step explanation:
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?
Solution:
Let the width of the box be x cm.
The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40
The height of the box = 12 cm
The volume of the box can be gotten from the formula:
Volume = length × width × height
Substituting:
Volume = (x + 40) × (x) × 12
Volume = 12x(x + 40)
Therefore the volume of the new box is 12x(x + 40)
Answer: 25
Step-by-step explanation: 8*5=40, so multiply 5 by 5. Or, to put it another way:
5/8 = 25/40
2x²-3xy-2y²-2x-11y-12
Write -3xy as a difference
2x²+xy-4xy-2y²-2x-11y-12
write -2x as a difference
2x²+xy-4xy-2y²+4x-6x-11y-12
Write -11y as a difference
2x²+xy-4xy-2y²+4x-6x-8y-3y-12
Factor out 2x from the expression
2x×(x-2y-3)+xy-2y²+4x-8y-3y-12
Factor out y from the expression
2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12
Factor out 4 from the expression
2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)
Factor out x-2y-3 from the expression
Answer: (x-2y-3)x(2x+y+4)
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The labor-force participation rate of Belgium in 2017 was 77.78%
1.
Given:
Adult population = 4500
Number of employed in 2017 = <em>2800</em>
Number of Unemployed in 2017 = 700
Labor force participation rate = (employed + unemployed) / total population × 100
= (2800 + 700) / 4,500 × 100
= 3,500 / 4500 × 100
= 0.777777777777777 × 100
= 77.77777777777777%
Approximately, 77.78%
2.
Given:
Adult Population in 2016 = 3500
Number of employed in 2016 = 1800
Number of Unemployed in 2016= 600
Unemployment rate = unemployed population/ total labor force × 100
= 600 / 3,500 × 100
= 0.171428571428571 × 100
= 17.14285714285714%
Approximately,
17.14 %
Therefore, the unemployment rate of Japan in 2016 was 17.14%
Learn more about unemployment rate:
brainly.com/question/13280244
Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
