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belka [17]
4 years ago
14

A professor wants to randomly select 4 students to go to the board. She decides to randomly select the fourth student who enters

the classroom and every ninth student after that. Determine the students who will be going to the board. Write down the student numbers.
Mathematics
1 answer:
vodomira [7]4 years ago
8 0

Answer:

The number of the students who got selected are 4,13,22,31.

Step-by-step explanation:

The professor wants to select 4 students randomly.

She randomly select the fourth and every ninth student after that

First the 4th student is selected

Now  by using the next  term formula which is

=>a + d(n-1)

The next student is the 2nd student.

=>4 + 9(2-1)

=>4 + 9(1)

=>4 + 9

=> 13

The 3rd student will be

=>4 + 9(3-1)

=>4 + 9(2)

=>4 + 18

=> 22

The 4th student will be

=>4 + 9(4-1)

=>4 + 9(3)

=> 4+ 27

=> 31

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It is 83.35 Unless your rounding up then it is 84 dollars

Step-by-step explanation:

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3 years ago
A traveling soccer team allows only the top 3% of athletes who try out to be part of the team. If the team tryout scorecard has
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Answer:

169

Step-by-step explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

Z = (x-mean)/(st. dev.)

Solving x:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
3 years ago
The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same
san4es73 [151]

Answer:

Step-by-step explanation:

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b) Y = 72"

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Almost 0% can be taken

f) IQR =Q3-Q1

Z scores =

5 0
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