Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
The example on direct variation is illustrated below based on the information given.
<h3>How to illustrate the direct variation?</h3>
An example will be:
When x = 2, y = 10. Find the value of y when x is 6.
In this case, this will be calculated thus:
y = kx
10 = 2k
k = 10/2
k = 5
Since y = kx.
y = 5 × 6
y = 30
The value of y is 30.
Learn more about variation on:
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Answer:
The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
Given that:
The treatment group using Spray A reported a mean of 3.5 mosquito bites.
The treatment group using Spray B reported a mean of 5.6 mosquito bites.
After the data are re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;
The best conclusion that can be make based on the data from the dot plot is :
The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
For 9 in standees form just write the regular number
Answer:
cheating in entrance
Step-by-step explanation:
circumference: 14π
area: 49π
