35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard sh
1 answer:
Answer:
38760 selections result in all 6 workers coming from the day shift.
Step-by-step explanation:
The order in which the workers are chosen is not important, which means that 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.
a. How many selections result in all 6 workers coming from the day shift:
20 workers are employed on the day shift, so this is a combination of 6 from a set of 20.
38760 selections result in all 6 workers coming from the day shift.
You might be interested in
The surface area of the triangular prism is 828 in².
Solution:
Let the missing length of the triangle be x.
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of other two sides.
Subtract 144 on both sides of the equation.
Taking square root on both sides, we get
x = 9
The missing length of the triangle is 9 in.
Area of the front triangle =
= 54 in²
Area of the back triangle =
= 54 in²
Area of the sloping rectangle = 20 × 9
= 180 in²
Area of the back rectangle = 20 × 12
= 240 in²
Area of the base rectangle = 20 × 15
= 300 in²
Total area = 54 in² + 54 in² + 180 in² + 240 in² + 300 in²
= 828 in²
The surface area of the triangular prism is 828 in².