Answer: 30% change in the number of unemployed construction workers over this period
Step-by-step explanation:
September 1, 1992
The total number of construction workers = 1,000 (assume);
16% are unemployed, so the number of unemployed workers is 16*1000/100= 160.
September 1, 1996
The total number of construction workers 20% greater 20*1000/100+1000=1200;
9% are unemployed, thus the number of unemployed workers = 9*1200/100=108.
Decrease is 52, which is approximately 30% of 160.
Answer:
This test batch can be chosen in 2380 ways
Step-by-step explanation:
The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many ways can this test batch be chosen?
4 batteries from a set of 17. So
This test batch can be chosen in 2380 ways
Mathematically written:
3 * x + 7 = 25
3x + 7 = 25
3x = 25 - 7
3x = 18
x = 18 / 3
x = 6
Proof:
3 * 6 + 7 = 25
18 + 7 = 25
25 = 25 → both sides of the equation are equal, our answer is correct
Notes:
A number - Is an unknown number, called a variable, which in this case is substituted by the letter x.
Hope it helped,
BioTeacher101
Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
Since there are 8 possibilities, but only one of them results in 3 tails tosses, the answer would be 1/8. 1 chance out of 8 possibilities.