Step-by-step Answer:
Customer is allowed to choose any five, where order does not count.
This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.
Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.
Mathematically, this number is represented by
C(11,5) = 11!/(6!5!) = 462, and is read
"Combination of 5 choices out of 11", or simply "11 choose 5".
Answer:

which agrees with the second option listed
Step-by-step explanation:
Recall that the distance formula between two points
and
, is given by:

Therefore, the distance between point (4, 2) and another point with unknown coordinates (x, y), that is at a distance of 3 units from the first one, would be calculated as:

X < 477 that is the answer
Answer:
Random variable
Step-by-step explanation:
The reason it is a random variable is because a, the definition fits, and b you can use context clues as well, such as 'determined by chance' which is another example of random! So, the answer is random, because random variables are determined by chance. Hope this helped.
It take 8.205 minutes to fill a queen sized mattress.
<h3>What is volume?</h3>
'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given dimensions:
Twin sized air mattress (39 by 8.75 by 75 inches).
Queen sized mattress (60 by 8.75 by 80 inches)
Now, Volume of twin sized mattress
=39* 8.75* 75
= 25593.35 cubic inch
Volume of queen sized mattress,
=60* 8.75* 80
= 42000 cubic inch
as, To fill 25593.35 cubic inch it takes 5 minutes
so, to fill 1 cubic inch = 5/25593.35
and, So to fill 42000 cubic inch it will take = 42000* 5/25593.35
=8.205 minutes
Learn more about this concept here:
brainly.com/question/10980137
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