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3 years ago

6

a restaursnt has rectangular tables that can seat 8 people each when there are more than 8 people in a group the tables are move

d together. what is the greatest number of people who can sit at 3 tables lined up in a row?

1 answer:

Stolb23 [73]3 years ago

5 0

24 people can sit at three tables lined in a row

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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

2 years ago

Find the unit rate with the numbers 12 and one and one half

kati45 [8]

Answer:

The value of the unit rate is 8

Step-by-step explanation:

we know that

To calculate the unit rate simply divide the first number by the second number

so

$12:1\frac{1}{2}$

Convert mixed number to an improper fraction

$1\frac{1}{2}=1+\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

substitute in the expression above

$12:\frac{3}{2}=\frac{24}{3}=8$

4 0

2 years ago

Compare -0.3 and -1/3

zaharov [31]

The answer is -0.1 I believe

4 0

3 years ago

According to science, Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose yo

zalisa [80]

It begins in 30000 bc

5 0

3 years ago

Read 2 more answers

1/9 and 1/8 closer to 0,0.5 or 1

pentagon [3]

Answer;

they are both closer to 0

Step-by-step explanation:

9/9= 1

4/9= approximately 0.5

8/8= 1

4/8= 0.5

6 0

2 years ago