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.
note that 5π /4 is in the third quadrant where the cos is negative
the related acute angle to 5π /4 is π/4, thus
cos( 5π /4 ) = - cos (π/4 ) = - √2/2
We can also evaluate using the addition formula for cosine
• cos (x + y ) = cosxcosy - sinxsiny
note that 5π /4 = (π + π/4 )
cos(5π /4 ) = cos (π + π/4 )
= cos(π)cos(π/4) - sin(π)sin(π/4)
= - 1 √2/2 - 0 = - √2/2
Answer:
224
Step-by-step explanation:
Given that a committee of six Congressmen will be selected from a group of eight Republicans and four Democrats.
Total no of ways of selecting 6 persons from the given list
= taking 6 persons out of 12 persons
= 
Favourable ways
= ways of selecting 3 republicians
= 3 republicians and 3 democrats
= 
the number of ways of obtaining a committee with exactly three Republicans.
= 224
10% of 11.60 is 1.60, which means that his first raise will make his rate $12.76 per hour. 10% of 12.76 is 1.276, but since were talking about money I’ll round that up to 1.28.
1.28 plus 12.76 is 14.04, so after two years his rate of pay would be $14.04 per hour
