Work is shown in the photo!
Answer would be 26. 026 is the perimeter
Let us start with the time it takes for 1 gallon of gas to be dispensed. If ½ gallon takes 3 ¼ seconds, it will take double of that time for one gallon of gas. Double of 3 <span>¼</span> seconds is 6 1/8 seconds. Unit rate is 1 gallon of gas at every 6 1/8 seconds If one gallon of gas takes 6 1/8 seconds, 50 gallons will take 50 x 6 1/8 seconds. That is, 325 seconds or 5 minutes ans and 25 seconds.
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
Given that an object moves from the position +16 m to the position +47 m in 12 s. Now we need to find about what is its total displacement and what is its average velocity.
We know that displacement is the object's overall change in position.
So total displacement is given by:
Displacement = (+47) - (+16) = +31
Now velocity is given by ratio of displacement and time so final answer for velocity will be :
Which is approx 2.6 m/s.
![x^ \frac{m}{n}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7Bm%7D%7Bn%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
![y^ \frac{1}{5}= \sqrt[5]{y^1}= \sqrt[5]{y}](https://tex.z-dn.net/?f=y%5E%20%5Cfrac%7B1%7D%7B5%7D%3D%20%5Csqrt%5B5%5D%7By%5E1%7D%3D%20%5Csqrt%5B5%5D%7By%7D%20%20)