= 16 + 49 - 3(11) - 4(10)
= 16 + 49 - 33 - 40
= -8
Answer:
- the point
- the line
- the plane
Step-by-step explanation:
:D
Answer:
252 ; 0.0059 ; 0.0074 ; 0.9926
Step-by-step explanation:
Day shift = 10
Swing shift = 8
Graveyard shift = 6
Total number of workers = 24
A.) Number of selections resulting in 5 workers coming from day shift :
10C5 = 10! ÷ (10-5)!5!
= (10*9*8*7*6) / (5*4*3*2*1)
= 252
B.) All 5 workers coming from day shift :
Required outcome = 10C5
Total possible outcomes = 24C5
10C5 ÷ 24C5
252 ÷ 42504
= 0.0059288
= 0.0059
C.) 5 selected workers are from the same shift :
[day shift + swing shift + graveyard shift] / total possible outcomes
[(10C5) + (8C5) + (6C5)] ÷ 24C5
(252 + 56 + 6) / 42504
= 0.0074
D.) What is the probability that at least two different shifts will be represented among the selected workers?
1 - [[(10C5) + (8C5) + (6C5)] ÷ 24C5]
1 - 0.0073875
= 0.9926124
= 0.9926
Step-by-step explanation:
![ratio \:of \:surface \:areas\\=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\=\frac{71}{1136}\\\\=\frac{1}{16}\\\\= 1\: :\: 16](https://tex.z-dn.net/?f=%20ratio%20%5C%3Aof%20%5C%3Asurface%20%5C%3Aareas%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B2%5B5%5Ctimes%207%20%2B%207%5Ctimes%203%2B3%5Ctimes%205%5D%7D%7B2%5B20%5Ctimes%2028%2B%2028%5Ctimes%2012%2B12%5Ctimes%2020%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B%5B35%20%2B%2021%2B15%5D%7D%7B%5B560%2B%20336%2B240%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B71%7D%7B1136%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B1%7D%7B16%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%201%5C%3A%20%3A%5C%3A%2016)
She worked for 12 hours as a carpenter and 18 hours as a black smith
