Answer:
336
Step-by-step explanation:
To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.
In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.
We use the following formula:
where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.
n = 8
and
r = 3
thus the number of permutations is given bt:
the answer is that there are 336 ways in which the swimmers can finish in first second and third place
Answer:
when a star gets big it pops and might make a black hole
Answer:
b
Step-by-step explanation:
There are 36 dogs in the shelter.
<h3>How to find the total number of dogs in the shelter?</h3>
The ratio of dogs to cats in the shelter is given as 9:15.
The total number of dogs and cats is given as 96.
Let the constant of proportionality be x.
The total number of dogs is 9x and the total number of cats is 15x.
This means that:
9x + 15x = 96
24x = 96
x = 4.
The total number of dogs in the shelter = 9 × 4
= 36
Therefore, we have found that there are 36 dogs in the shelter.
Learn more about ratios here: brainly.com/question/2914376
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Answer:
134°
Step-by-step explanation:
∠BAC = ∠BCA because it is an isosceles triangle
∠XCA = ∠XAC . Congruent angles
∠XAC = 1/2(46) = 23° . because CE bisects ∠ C
∠XCA = 23°
180° - 23° - 23° = 134° . Sum of all angles in a triangle is 180°
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