10x=-80 I could us some hlp
2 answers:
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Given that there
are 17 portable mini suites (a.k.a. cages) in a row at the Paws and
Claws Holiday Pet Resort. They are neatly labeled with their guests'
names. There are 8 poodles and 9 tabbies. How many ways can the "suites"
be arranged if:
a) there are no restrictions.
Part A:
If there are no restrictions, then the number of ways the "suites" can be arranged is given by:
Part B:
If cats and dogs must alternate, then the number of ways the "suites" can be arranged is given by:
Part C:
If dogs must be next to each other, then the group of dogs are taken as 1 object and there are now 10 objects to arrange. The number of ways to arrange 10 objects is given by:
Also, the group of dogs can be arranged in:
Therefore, the total number of ways the "suites" can be arranged is given by:
Part D:
If dogs must be next to each other and cats must be next to each other, then the group of dogs are taken as 1 object and the group of cats are taken as 1 object, then there are now 2 objects to arrange.
The number of ways to arrange two objects is given by:
The number of ways the 9 dogs are to be arranged is given by:
The number of ways the 8 cats are to be arranged is given by:
Therefore, the total number of ways the "suites" can be arranged is given by:
b) cats and dogs must alternate.
c) dogs must be next to each other.
d) dogs must be next to each other and cats must be next to each other.
Part A:
If there are no restrictions, then the number of ways the "suites" can be arranged is given by:
Part B:
If cats and dogs must alternate, then the number of ways the "suites" can be arranged is given by:
Part C:
If dogs must be next to each other, then the group of dogs are taken as 1 object and there are now 10 objects to arrange. The number of ways to arrange 10 objects is given by:
Also, the group of dogs can be arranged in:
Therefore, the total number of ways the "suites" can be arranged is given by:
Part D:
If dogs must be next to each other and cats must be next to each other, then the group of dogs are taken as 1 object and the group of cats are taken as 1 object, then there are now 2 objects to arrange.
The number of ways to arrange two objects is given by:
The number of ways the 9 dogs are to be arranged is given by:
The number of ways the 8 cats are to be arranged is given by:
Therefore, the total number of ways the "suites" can be arranged is given by:
Answer:
The experimental probability of rolling a 4 in the next trial is .
Step-by-step explanation:
The experimental probability is the ratio of the favorable outcomes to the total number of outcomes.
That is, the probability of an event <em>E</em> is:
Here,
<em>n</em> (E) = favorable outcomes
<em>N</em> = total number of outcomes
It is provided that Deon rolled a six-sided die 40 times.
And in these 40 rolls, the number 4 appeared 15 times.
A six-sided die has an equal probability of landing on any of the six numbers.
The rolling a die is an independent event experiment, i.e. the result of the previous roll does not affect the result of next roll.
Let <em>X</em> = number on the face of the die
Compute the probability of rolling a 4 in the next trial as follows:
P (Rolling a 4) = P (X = 4)
Thus, the experimental probability of rolling a 4 in the next trial is .