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Orlov [11]
2 years ago
5

There are 16 competitors in the MATHCOUNTS Trainer competition, including 3 from Vienna. The gold medal goes to first place, sil

ver to second, and bronze to third. Suppose that the AoPS powers-that-be decide that exactly one student from Vienna must win a medal (no more and no less). Now how many ways are there to award the medals
Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0

Answer:

1404

Step-by-step explanation:

13*12*9

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At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0
2 years ago
Ashley had a doll collection consisting of 43 dolls. As she got older she ended up selling some. She only kept her
Marianna [84]

Answer:

27.9 i think in in a fraction 12 / 43

Step-by-step explanation:

7 0
2 years ago
If the area of the cube is 2 1/2 what is the surfece area
mariarad [96]

Answer:

37.5

Step-by-step explanation:

6 0
3 years ago
The league championship 800 meter race has 6 runners.
s2008m [1.1K]

Answer: 120

Step-by-step explanation:

Given : The league championship 800 meter race has 6 runners.

The number of positions = 3

Since order matters here , so we use Permutation.

The permutation of n things taking r at a time is given by :-

^nP_r=\dfrac{n!}{(n-r)!}

Then, the number of different ways they place first, second, and third :_

^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120

Hence, they can place first, second, and third in 120 different ways .

7 0
3 years ago
Circle O has a circumference of approximately 28.3 cm. Circle O with radius r is shown. What is the approximate length of the ra
Marrrta [24]

Answer:

4.5cm

Step-by-step explanation:

Circumference = 2\pir

28.3=2\pir

28.3/2\pi=r

4.456

7 0
3 years ago
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