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Hunter-Best [27]
3 years ago
12

12.

Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0
Are those supposed to be comas or decimal points , if they’re comas then i think the scientific notation would be 1.222 x 10^8
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A company hired 15 new employees. They want to randomly assign 4 of them to work in the graveyard shift. In how many ways can th
____ [38]

Answer:

This assignment can be made in 1365 ways.

Step-by-step explanation:

The order in which the shifts are assigned is not important. For example, employees A, B, C, D and D,C,B,A being assigned is the same thing. So, we use the combinations formula to solve this question.

Combinations Formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Assignment of 4 employees, from a set of 15. So

C_{15,4} = \frac{15!}{4!(15-4)!} = 1365

5 0
3 years ago
The sum of two numbers is 72. The difference of the two numbers is 40. What are the two numbers.
Oxana [17]

Step-by-step explanation:

x + y = 72

x - y = 40

x = y + 40

so, the first equation is then

y + 40 + y = 72

2y + 40 = 72

2y = 32

y = 16

x = y + 40 = 16 + 40 = 56

7 0
1 year ago
Use complete sentences to explain how you could use a number line to explain why 2 < 3 < 5. Please. :D
Svetach [21]
Two is less than three which is also less than 5.


When put into a number line from 0 to 10, it shows that 2 is closest to 0 while 5 is closest to 10 and three, will be in between 2 and 5. This shows that as you go from 2 to 3, the number increased and, it continues to increase when you go from 3 to 5. This shows that 2 is less than 3 and 3 is less than 5.
7 0
4 years ago
Can you please help me answer this question <br> Negative n=7+6n
Marianna [84]
In the equationn = negative 1
8 0
3 years ago
The Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the T
grandymaker [24]

Answer:

2 minutes.  

Step-by-step explanation:

Let t be the time taken in competition and the distance covered by Achilles be x miles.

We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that distance covered by turtle will be: x-\frac{2}{5}.

Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.

Since we know that \text{Time}=\frac{\text{Distance}}{\text{Speed}}, so we can set two equations for time taken by Achilles and turtle as:

t=\frac{x}{13}...(1)

t=\frac{(x-\frac{2}{5})}{1}...(2)

From equation (1) we will get,

x=13t

Upon substituting this value in equation (2) we will get,

t=\frac{13t-\frac{2}{5}}{1}    

Let us have a common denominator.  

t=\frac{\frac{65t-2}{5}}{1}

t=\frac{65t-2}{5}

Upon multiplying both sides of our equation by 5 we will get,

5t=5\times \frac{65t-2}{5}

5t=65t-2

5t-65t=65t-65t-2

-60t=-2

t=\frac{-2}{-60}

t=\frac{1}{30}

So, the competition took 1/30 hour, let us convert our given time in minutes.

\frac{1}{30}\text{ hour}\times \frac{60\text{ minutes}}{\text{hour}}

\frac{1}{30}\times 60\text{ minutes}

2\text{ minutes}  

Therefore, the competition took 2 minutes.


8 0
3 years ago
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