To reduce laboratory​ costs, water samples from public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past​ results, there is a probability of finding bacteria in a public swimming area. Find the probability that a combined sample from public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?

Answers

Answer 1

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The  probability is  [tex]P(X \ge 1 ) = 0.003996[/tex]

Given that the probability is less than 0.05 , it means that it is  low enough so that further testing of the individual samples is rarely​ necessary

Step-by-step explanation:

From the question we are told that

     The probability of finding bacteria in a public swimming area  is  p =  0.002

 Generally the probability of not finding bacteria in a public swimming area  is mathematically represented as

      [tex]q = 1- p[/tex]

=>    [tex]q = 1- 0.002[/tex]

=>   [tex]q =0.998[/tex]

Generally the the probability that a combined sample from public swimming areas will reveal the presence of bacteria is equivalent to the probability that at least one of the sample will reveal the  presence of bacteria and this is mathematically represented as

       [tex]P(X \ge 1 ) = 1 - P(X')[/tex]

Here  [tex]P(X')[/tex] means that none of the 2  sample have bacteria which is mathematically represented as

       [tex]P(X') = q^2[/tex]

Here 2 signifies that we are considering two samples  

So  

        [tex]P(X') = 0.998^2[/tex]

        [tex]P(X') = 0.996004[/tex]

So

       [tex]P(X \ge 1 ) = 1 - 0.996004[/tex]

=>     [tex]P(X \ge 1 ) = 0.003996[/tex]

To Reduce Laboratory Costs, Water Samples From Public Swimming Pools Are Combined For One Test For The

Related Questions

What is the domain and range of the function?

Answers

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

CAN SOMEONE HELP ANSWER THIS AND EXPLAIN

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Answer:

In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers

What is the length of the hypotenuse of the triangle?

Answers

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5.

Step-by-step explanation:

Hope this helps! <3

Which expression is equivalent to 1/4 -3/4 x?

Answers

Answer:

factor out 1/4 from the expression

1/4x(1-3x)

Why does this not exist? I thought if you plugged in infinity, you would just get infinity. Do you not plug in infinity?

Answers

Answer:

See below

Step-by-step explanation:

It does not exist because the

[tex](-1)^x[/tex]

doesn't tend to some value it just loop around

[tex]-1, 1[/tex]

for ever

it exist when we have

[tex]\lim_{x\rightarrow \infty}[(\frac{1}{x})][/tex]

there when the value of x increasing the fractions tends to 0

so we can say that when x approaches infinity the value is 0.

Tell me if i haven't made myself clear

Please help me I can’t figure it out

Answers

Answer:

its C.

Step-by-step explanation:

omg that took forever to solve

write the given equation of a line that passes through two given points (0,1) and (2,2)

Answers

Answer:

m=slope  y = intercept

m= y2-y1 / x2-x1

       2-1   /   2-0  =  1 /2

now pick one of the points and put in for y and x

use (2,2)    2= 1/2(2) +b

                  2=1 + b

              2-1 =1-1 +b   subtract 1 from each side

                  1 = b   This is your y intercept

Step-by-step explanation:

The equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= 2-1   /   2-0  =  1 /2

Now pick one of the points and put in for y and x use (2,2).

2= 1/2(2) +b

2=1 + b

2-1 =1-1 +b   subtract 1 from each side

1 = b   This is your y-intercept

The equation will be written as:-

y = ( 1 / 2) x + 1

Therefore, the equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1.

To know more about an equation of the line follow

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Which values are two of the possible solutions to the equation?

Answers

Answer:

#1

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

did it on ed

How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph

Answers

Step-by-step explanation:

[tex]9.16 = 585288 { \sqrt[5 < 63 = 33 \times \\ ]{?} }^{?} [/tex]

Answer: Its 0.75 hours :)

6 eggs weigh 3/4 of a pound. How much does each egg weigh?

Answers

9514 1404 393

Answer:

  1/8 lb or 2 oz

Step-by-step explanation:

You find the weight per egg by dividing the weight by the number of eggs:

  (3/4 lb)/(6 eggs) = 3/24 lb/egg = 1/8 lb/egg

A pound is 16 ounces, so 1/8 lb is 2 oz.

Each egg weighs 1/8 lb or 2 oz.

Write the equation of the line represented by the following table.

Answers

Answer:

y=100x+400

Step-by-step explanation:

change in y over change in x gives slope and the y intercept is 400

4(x - 1) - x= 3(x + 5) –11

Answers

Answer:

4

Step-by-step explanation:

Answer:

No solution

Hope this helps! :)

How much work is required to lift a 2.90 kg object from the bottom of a well 8.7 m deep?

Answers

Answer:

THE ANSWER IS YOU CAN DO IT BECAUSE YOUR SMART!!!!!

Step-by-step explanation:

Suppose the last column of AB is entirely zero but B itself has no column of zeros. What can you say about the columns of​ A? Choose the correct answer below. A. The columns of A must be the identity matrix columns because if the last column in B is denoted ​, then the last column of AB can be rewritten as A0. This implies that A must be the identity matrix to ensure that the last column of AB is all zeros. B. The columns of A are linearly independent because if the last column in B is denoted ​, then the last column of AB can be rewritten as A0. Since is not all​ zeros, then the only solution to A0 is the trivial solution. C. The columns of A are linearly dependent because if the last column in B is denoted ​, then the last column of AB can be rewritten as A0. Since is not all​ zeros, then any solution to A0 can not be the trivial solution. D. The columns of A must all have entries of zero because if the last column in B is denoted ​, then the last column of AB can be rewritten as A0. This implies that A must have columns that are composed of only zeros and therefore AB must be the zero matrix.

Answers

Answer:

The correct option is C, the columns of A are linearly dependent because if the last column in B is denoted ​, then the last column of AB can be rewritten as A0. Since B is not all​ zeros, then any solution to A0 can not be the trivial solution

Step-by-step explanation:

Firstly, have to define linear dependency to get a clear picture of what is to be done.

If we have two vectors A and B, they are said to be linearly independent if Ax + By = 0 if and only if x = y = 0. Otherwise they are linearly dependent.

Now, let p denote the last column of the matrix B. We are given that the last column of AB is zero, therefore Ap = 0. Although p is not the zero vector, because B has no columns of zeros, therefore the equation Ap = 0 is a linear dependence relation among the columns of A. Hence, the columns of A are linearly dependent.


Which is the equation of a line that has a slope of -3 and passes through point
(-3,-1)

Answers

Answer:

Use y-y1 = m*(x-x1) where m = slope and (x1,y1) is the point.

Step-by-step explanation:

found the info on a random website

David car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting Point ?

Answers

Answer:

36

Step-by-step explanation:

it took David's car 90 seconds  and chris's car 54 seconds so that means

90-54=36

The number of seconds would they meet again at the starting point will be 270 seconds.

What is the least common factor (LCM)?

The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.

David's car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds.

If both cars left the same starting point at the same time. Then the number of seconds would they meet again at the starting point will be given as,

L.C.M. = 90, 54

L.C.M. = 2 x 3 x 3 x 5, 2 x 3 x 3 x 3

L.C.M. = 2 x 3 x 3 x 3 x 5

L.C.M. = 270 seconds

The number of seconds would they meet again at the starting point will be 270 seconds.

More about the least common factor link is given below.

https://brainly.com/question/14875184

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How is the Remainder Theorem related to the process of synthetic division?

Answers

Answer:

The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f

Which one of these is the identity for addition?
Group of answer choices

0

1

-1

Answers

Answer:

Zero

Step-by-step explanation:

In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself

Answer:

Zero

Step-by-step explanation:

In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself

Step-by-step explanation:

add the following conceptually and using the standard algorithm 79-26​

Answers

Answer: 53

Step-by-step explanation:

79

-26

53

Can someone help on the whole page please... really need help

Answers

Answer:

See attached

Step-by-step explanation:

The answer filled in the paper, refer to attachment

please help me with functions​

Answers

Answer:

1.) Domain: [-2, 1] Range: [1, 2] 2.) Domain: [-1, 2] Range: [-2, 2]

Step-by-step explanation:

The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For restaurants located in Boston, the average price of a dinner, including one drink and tip, was . You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed . Suppose that you randomly select three of these restaurants for dinner. a. What is the probability that none of the meals will exceed the cost covered by your company (to 4 decimals)

Answers

Answer:

Hello your question has some missing part below is the missing part

The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.

Answer : 0.2637

Step-by-step explanation:

Average price of dinner including one drink and a tip in Boston = $48.60

Number of restaurants = 15

number of restaurants whose meal cost more than $50 = 1/3 * 15 = 5

Probability that None of the meals will exceed the cost covered by your company

ATTACHED BELOW is the solution

P( none ) = 0.2637

factorise x2-5x-750=0​

Answers

Answer:

(x+25)(x-30)

Step-by-step explanation:

What is the y-intercept of the function f(x) =-2/9x + 1/3?
-2/9
-1/3
1/3
2/9

Answers

Answer:

1/3 is the y-intercept of the function

1/3 is the y-intercept

If you flip a coin 11 times, what is the probability of ending up with more heads than tails?

Answers

Answer:

55%

Step-by-step explanation:

which property of equality is 4x-3=x+9

Answers

Answer:

Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.

5+3−2=6+2−2

This gives us a couple of properties that hold true for all equations.

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

ifa−b=c,thena−b+b=c+b,ora=c+b

The same goes with the subtraction property of equality.

ifa+b=c,thena+b−b=c−b,ora=c−b

As well as it goes for the multiplication property of equality. If you multiply each side of an equation with the same nonzero number you produce an equivalent equation.

ifab=c,andb≠0,thenab⋅b=c⋅b,ora=cb

And naturally this goes for the division property of equality as well. You can divide each side of an equation with the same nonzero number to produce an equivalent equation

ifa⋅b=c,andb≠0,thena⋅bb=cb,ora=cb

This gives us a way to change an equation to our own liking. Anything is acceptable as long as you do the same thing on both sides.

so pretty much what I'm tryna say it x=4

sorry for being so extra-

Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m

Answers

Answer:

Hi there!

Your answer is:

3+.15m =c

I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m

Hope this Helps

In your own words, explain what it means to dilate a triangle.

Answers

Answer:

It means that you take a triangle and make another one but this time it is not the same size of the first one but the same shape. In other words make it bigger or smaller than the first one.

What is the value of X

Answers

34 degrees


Step by step explanation
The correct answer is 34

can you please help im running out of time9) -23 - (-14)= *

Answers

ANSWER: -9

HOW:

- 23 - ( - 14)
= -23 + 14
= - 9
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