Answer:
The probability is 0.0042
Step-by-step explanation:
The probability is the division between the number of ways in which the eight workers are chosen from the first shift and the total number of ways in which they can select the eight workers.
So, the number of ways in which the eight workers are chosen from the first shift is calculate using the following equation:
Where nCk give as the number of ways in which we can select k element from a group of n elements.
Then replacing k by the eight workers that are going to do the interview and n by the 22 workers from the first shift we get:
So there are 319,770 ways to select eighth workers and all of them are first shift workers.
At the same way, we can calculate the total number of ways in which they can select the eight workers. Replacing n by 40 because this is the sum of 22 workers of the first shift and 18 workers of the second shift, we get:
So, There are 76,904,685 ways to select eight workers from a group of 40.
Finally the probability is:
next number would be 89, because you add the number before to get the next,
8 + 5 = 13 + 8 = 21 + 13 = 34 + 21 = 34 + 21 = 55 + 34 = 89
final answer: 89
Answer:height = 15 yd
Base = 20 yd
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = 1/2 base × height.
From the information given, the area of the triangle is 150 yd.² the height is x +5 and the base is 3x -10.
Therefore,
150 = 1/2 × (3x - 10)(x + 5)
300 = 3x^2 + 15x - 10x - 50
300 + 50 = 3x^2 + 5x
350 = 3x^2 + 5x
3x^2 + 5x - 350 = 0
3x^2 + 35x - 30x - 350 = 0
x(3x + 35) - 10(3x + 35) = 0
x - 10 = 0 or 3x + 35 = 0
x = 10 or x = - 35/3
Since the dimensions cannot be negative, then x = 10
The height = x + 5 = 10 + 5 = 15 yd
The base = 3x - 10 = 3×10 - 10 = 20 yd
72/100=0.72
All you had to do was move the decimal place to the left twice :)
If the two lines have the same y-intercept and the slope, they are actually in the same exact line. In other words, when the two lines are the same line, then the system should have infinite solutions. It means that if the system of equations has an infinite number of solution, then the system is said to be consistent.
Brain list? Please