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nikitadnepr [17]
3 years ago
14

38 students are planning to participate in a 3-on-3 basketball tournament. Each team must have at least 3 students. What is the

largest number of teams that can be formed?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0

12 teams can be formed

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One candy making machine can produce 350 Swedish jelly candies per minute. At that rate, how many Swedish jelly fish candies cou
hammer [34]

Answer:

21000

Step-by-step explanation:

We are given that

1 candy  making machine can produce Swedish jelly candies per minute=350

We have to find the number of Swedish jelly fish candies could  6 identical machines produce in 10 minutes.

In 10 minutes, 1 candy making machine can produce candies=350\times 10=3500

1 candy making machine can produce candies in 10 minutes=3500

If the rate same then

6 identical candy machine can produce candies in 10 minutes=3500\times 6=21000

Hence, 6 identical machines can produce  Swedish jelly fish candies in 10 minutes=21000

4 0
3 years ago
Whats the height of the prism
zheka24 [161]

Answer:

oh, you may have forgotten to add the file, you can edit and add it, which i will edit my response and respond.

Step-by-step explanation:

8 0
3 years ago
105. Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independe
Ainat [17]

Answer:

a. X is the number of adults in America that need to be surveyed until finding the first one that will watch the Super Bowl.

b. X can take any integer that is greater than or equal to 1. \rm X\in \mathbb{Z}^{+}.

c. \rm X \sim NB(1, 0.40).

d. E(\rm X) = 2.5.

e. P(\rm X = 7) = 0.0187.

f. P(\text{X} = 3) +P(\text{X} = 4) = 0.230.

Step-by-step explanation:

<h3>a.</h3>

In this setting, finding an adult in America that will watch the Super Bowl is a success. The question assumes that the chance of success is constant for each trial. The question is interested in the number of trials before the first success. Let X be the number of adults in America that needs to be surveyed until finding the first one who will watch the Super Bowl.

<h3>b.</h3>

It takes at least one trial to find the first success. However, there's rare opportunity that it might take infinitely many trials. Thus, X may take any integer value that is greater than or equal to one. In other words, X can be any positive integer: \rm X\in \mathbb{Z}^{+}.

<h3>c.</h3>

There are two discrete distributions that may model X:

  • The geometric distribution. A geometric random variable measures the number of trials before the first success. This distribution takes only one parameter: the chance of success on each trial.
  • The negative binomial distribution. A negative binomial random variable measures the number of trials before the r-th success. This distribution takes two parameters: the number of successes r and the chance of success on each trial p.

\rm NB(1, p) (note that r=1) is equivalent to \sim Geo(p). However, in this question the distribution of \rm X takes two parameters, which implies that \rm X shall follow the negative binomial distribution rather than the geometric distribution. The probability of success on each trial is 40\% = 0.40.

\rm X\sim NB(1, 0.40).

<h3>d.</h3>

The expected value of a negative binomial random variable is equal to the number of required successes over the chance of success on each trial. In other words,

\displaystyle E(\text{X}) = \frac{r}{p} = \frac{1}{0.40} = 2.5.

<h3>e.</h3>

P(\rm X = 7) = 0.0187.

Some calculators do not come with support for the negative binomial distribution. There's a walkaround for that as long as the calculator supports the binomial distribution. The r-th success occurs on the n-th trial translates to (r-1) successes on the first (n-1) trials, plus another success on the n-th trial. Find the chance of (r-1) successes in the first (n-1) trials and multiply that with the chance of success on the n-th trial.

<h3>f.</h3>

P(\text{X} = 3)+P(\text{X} = 4) = 0.230.

3 0
3 years ago
A swimming pool has a radius of 8 feet and a height of 5 feet. The swimming pool is shaped like a cylinder. What is the volume o
Eva8 [605]

Answer:

1005cm³

Step-by-step explanation:

8² x 3.14 = 200.96 = surface area of face

200.96 x 5 = 1004.8 = 1005cm³

4 0
4 years ago
Read 2 more answers
1. -2 1/2 divided by 6=
frez [133]
Hi. Here are the answers and I am attaching a file that shows how I got them.

1. The simplified answer is: -5/12
2. The simplified answer is: - 1 1/5
3. The simplified answer is: - 1 7/10
4.  The simplified answer is: 1 5/6
5. The simplified answer is: 1 2/3

Hope this helps.

Take care,
Diana

3 0
3 years ago
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