To reduce laboratory​ costs, water samples from five 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 0.007 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five 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

Answer:

Step-by-step explanation:

Given that:

The numbers of the possible public swimming pools are 5

From past results, we have 0.007 probability of finding bacteria in a public swimming area.

In the public swimming pool, the probability of not finding bacteria = 1 - 0.007

= 0.993

Thus;

Probability of combined   =  Probability that at least one public

sample with bacteria           swimming area have bacteria

Probability of combined sample with bacteria  = 1 - P(none out of 5 has          

                                                                                bacteria)

   

Probability of combined sample with bacteria = 1 - (0.993)⁵        

= 1 - 0.9655

= 0.0345

Thus, the probability that the combined sample from five public swimming areas will show the presence of bacteria is 0.0345

From above, the probability that the combined sample shows the presence of bacteria is 0.0345 which is lesser than 0.05.

Thus, we can conclude that;  Yes, the probability is low enough that there is a need for further testing.


Related Questions

Mark was thinking of a number Mark added 11 to it then doubles it and gets a answer of 40.5

Answers

Answer:

9.25

Step-by-step explanation:

Mark doubled the number so we can divide 40.5 by 2 which is 20.25

Then we can subtract 11 from 20.25 because Mark added 11 to the number.


Rename 3/10 and 2/3 using the least common denominator.

Answers

Answer:

LCD = 30

3/10 = 9/30

2/3 = 20/30

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30

2) Next, multiply the numerators with the same number you multiplied with the denominator    

3 x 3 = 9

2 x 10 = 20  

3) Therefore, the answers are:

3/10 = 9/30

2/3 = 20/30

Hope this helps!

Applying the Pythagorean Theorem

What is the value of x?

x = ?

Answers

Answer :

hyp² = base² + perp²

by putting the values we get

10² = 8² + perp²

100 = 64 + perp²

taking 64 to left side.

100 - 64 = perp²

36 = perp²

Now taking underroot on both sides we get

[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]

therefore

6 = perp

perp is x in the above solution.

The solution is x = 6

The value of x in the triangle is x = 6

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Triangle ABC is a right triangle

Now , the measure of sides of the triangle are

The measure of side AB = x

The measure of side BC = 8

The measure of side AC = 10

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

10² = x² + 8²

Subtracting 8² on both sides of the equation , we get

x² = 10² - 8²

x² = 100 - 64

x² = 36

Taking square roots on both sides of the equation , we get

x = 6

Therefore , the value of x is 6

Hence , the measure of side AB of the triangle is x = 6

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Write the expression in simplest form
50 - 62c +38-43c I’m confused on how to solve this problem need help ASAP

Answers

Answer:

88 - 105c

Step-by-step explanation:

Hey there!

Step 1: Collect like terms.

(50 + 38) + (-62c - 43c)

Step 2: Simplify.

88 - 105c

~I hope I helped you! :)~

Answer: 88-105c

Step-by-step explanation:

Combine like terms

Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.

Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1

Which statement is true?
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.

Answers

Answer: -3.7

Step-by-step explanation:

Step 4 is wrong 6.1 - 9.8 = -3.7

In spring 2014, faculty from the City University of New York (CUNY) reported on a randomized controlled trial they conducted. The goal of the experiment was to determine whether community college students who assess into elementary algebra could be successful if they were placed directly into college-level statistics (with extra support). The experiment was conducted at three urban CUNY community colleges. At the time of their recruitment into the experiment, participants did not plan to major in a subject requiring college algebra. Students who assessed into elementary algebra and agreed to participate in the study were randomly assigned to one of three treatments: 1) traditional elementary algebra, 2) traditional elementary algebra with extra support in a weekly workshop, or 3) college-level statistics with extra support in a weekly workshop. To control for teacher effects, each faculty member in the study taught one section associated with each of the 3 treatments. All of the instructors were full-time math faculty, and at each of the three colleges, there were four sections of each treatment for a total of 36 sections across the colleges with 721 student participants. In a comparison of course pass rates (C or better), students placed directly into college-level statistics outperformed both elementary algebra treatment groups.
What is the explanatory variable? what is the response variable? what is the confounding variable? is this an experiment or an observational study?

Answers

Answer:

A) explanatory variable is "The extra support given by faculties"

B) the response variable is;

"How successful students who were placed directly into college - level statistics were able to outperform both elementary algebra treatment groups."

C) Confounding Variable is "ability of students to be successful or pass"

D) Experiment

Step-by-step explanation:

A) An explanatory variable is simply a type of independent variable used to explain the changes that occur in another variable. Furthermore, it can be manipulated by the researcher and is also used to predict differences in the response variable.

Now, from the question, we see that the variable "extra support by the faculties" is used to determine how successful community college students who were placed directly into college - level statistics were in outperforming both elementary algebra treatment groups.

Thus, the explanatory variable is "The extra support given by faculties"

B) In answer A above, we saw that the explanatory variable is used to predict the response variable.

We saw that the explanatory variable predicted how successful community college students who were placed directly into college - level statistics were in outperforming both elementary algebra treatment groups.

Thus, the response variable is;

"How successful students who were placed directly into college - level statistics were able to outperform both elementary algebra treatment groups."

C) A confounding variable is one that influences or changes the effect of the dependent & independent variable. It is therefore used to influence the result/outcome of an experiment/research.

From the question, it's clear that the ability of the students to pass or be successful is what influences the effect of the support by the faculties.

Thus, the Confounding Variable is "ability of students to be successful or pass"

D) The question portrays an experiment because it is being used to check if an hypothesis statement is true or false.

PLZZ HELP Will give brainlist plz help its for my 9 week exam

Which statement BEST describes a situation in which opposite quantities combine to make zero?


A. Shawna made 8 cups of soup and divided the soup into 8 containers.

B. Marcos missed 4 questions on a test in which each question was worth 4 points.

C. Peter scored 2 goals in the first period of a soccer game and 2 goals in the second period.

D. Melanie deposited $10 in her savings account and later withdrew $10 from the account.

Answers

Step-by-step explanation:

i think the correct answer is d because one you combine what she had with what she withdrawed she will have $0 left

Write an equation that represents this comparison sentence.

24 is 4 times as many as 6

Answers

Answer:

4x6=24

Since 24 is 4 times as many as six, it means 4x6 is 24.

What categories does the number -3/17 belong in ?

Answers

Answer:

Irrational

Step-by-step explanation:

-3/17= -0.1764705882 and irrational numbers does not repeat

y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1

Answers

are you speaking another language

Justify each step.
3•(10•12)=3•(12•10)
=(3•12)•10
=36•10
=360

Answers

Answer:

3•(10•12)=3•(12•10) = 360 = True

Step-by-step explanation:

left-hand side Simplify the following:

3×10×12

10×12 = 120:

3×120

3×120 = 360:

Answer: 360

______________________

Right-hand side:

Simplify the following:

3×12×10

Hint: | Multiply 12 and 10 together.

12×10 = 120:

3×120

Hint: | Multiply 3 and 120 together.

3×120 = 360:

Answer: 360

what is the answer? 5
points who says the right answer.

thank you.

Answers

Answer:

1/4 of the jar is left to fill.

The.diagram.shows a window in the shape of a square. Each side of the square measures 8(square root sign) 5 centimeters, and the area of.the square is 32x square centimeter, what is the value of x? A.) 5 B.) 10 C.) 20 D.) 40

Answers

Answer:

hey you ever find the answer?

Step-by-step explanation:

Answer:

im stuck on the same question.

Step-by-step explanation:

PA-CYBER SUCKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What the answer and how

Answers

Not for sure but it’s most like 6/9

(a + 1)(a + 8) = 0
How to solve

Answers

(a + 1) (a + 8) = 0

a^2 + 8a + a + 8 = 0
a^2 + 9a + 8 = 0
a^2 + a + 8a + 8 = 0
a (a + 1) + 8 (a + 1) = 0
(a + 1) (a + 8) = 0

a + 1 = 0
a = -1

a + 8 = 0
a = -8

can you help me find the answer please​

Answers

Answer:

Its B (4.69 * 10^8)

Step-by-step explanation:

if u add them all together thats what you get I typed it into a calculator

In five towns in the state of Idaho, a new recycling policy started. A sample of 5,000 homes found that 0.56 put out a
recycling bin each week. Using a 95% confidence level, what is the estimate of the population proportion that recycles?
between 55.65% and 56,69%
between 54.97% and 57.03%
between 54.65% and 56.35%
between 55.31% and 56.35%

Answers

10 miss girl thank u very much

845001 rounded to nearest ten thousands

Answers

845,001 rounded to the nearest ten thousand is 845’000

The volume of the triangular prism is 54 cubic units

What is the value of x ?
3
5
7
9

Answers

7 is the correct answer!

Linear Algebra, show steps please.

Answers

If x is in the nullspace of A, then Ax = 0. Consider the augmented matrix

[tex]\left[\begin{array}{ccc|c}1&-1&2&0\\0&1&-3&0\end{array}\right][/tex]

Add row 2 to row 1 to get this into reduced-row echelon form:

[tex]\left[\begin{array}{ccc|c}1&0&-1&0\\0&1&-3&0\end{array}\right][/tex]

Then x = [x₁, x₂, x₃]ᵀ such that

x₁ - x₃ = 0

x₂ - 3 x₃ = 0

If you let x₃ = 1, you end up with x₁ = 1 and x₂ = 3, so x = [1, 3, 1]ᵀ.

More generally, if you let x₃ = y, then any vector of the form [y, 3y, y]ᵀ would belong to the nullspace.

Check that this is orthogonal to the rows of A :

[1, -1, 2] • [1, 3, 1]ᵀ = 1•1 + (-1)•3 + 2•1 = 1 - 3 + 2 = 0

[0, 1, -3] • [1, 3, 1]ᵀ = 0•1 + 1•3 + (-3)•1 = 0 + 3 - 3 = 0

Solve the following inequalities graphically on the set of axes below state the coordinates of a point in the solution set

Answers

Answer:

A solution point is (2,2)

Step-by-step explanation:

Graph the lines. If it is just greater that or less than, use dashed lines. I fits greater than or equal too, or other symbols like that, use a solid line

Use the test point (0,0). If it satisfies the inequality, shade the side of the graph with that point (you can use any test point, not just (0,0)). If it doesn't satisfy, then shade the other side

The Shaded area shared by both lines is the area of the solution

Find the area of the geometric figure.
Square
9.5

Answers

Answer:

90.25

Step-by-step explanation:

multiply 9.5×9.5

or

9.5²

Identify the function family to which g(x) belongs. (g(x) x 3 + 5​

Answers

B is bbbbbbbbbbbbbbbbbbbbbbbb

Multiply.

338⋅413


718

1218

1438

1458

Answers

The value of the product calculated by multiplication is 139594 .

A product is the result of multiplication or an expression that lists the factors to be multiplied.

According to the commutative law of multiplication, the outcome is unaffected by whether real or complex numbers are multiplied in a particular order.Usually, the order of the factors determines the outcome of a multiplication of matrices or the constituents of other associative algebras.For instance, multiplication in general and in matrices are non-commutative operations in other algebras.The product of multiplication of two complex numbers can also be a complex number.When two integers are multiplied we always get an integer .

The given numbers are 338 and 413.

∴338 × 413 = 139594

Hence after multiplying the numbers we get 139594.

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Answer:

14 5/8

to help others know the answer make sure to correct copy and paste and put a slash forward were they are shown in the question on your quiz and can you give brainiest?

help pls will mark brainliest

Answers

Answer:

The answer is C,

Step-by-step explanation:

Answer:

3+(-9) = -6 because -6 is 9 units to the left of 3.

Step by step explanation:

Kelvin LOSES 9 points in the 2nd round. This implies that we have to go to the left on the number line because he loses points. The point K is at the number 3 in the number line. When we go 9 units to the left, we get 3-9 = -6.

Jeremiah wants to set aside enough money for lunch during the coming year. How much money will he need to save assuming he eats four days a week for 32 weeks and spends​ $3 per​ lunch? ​$
nothing

Answers

He would need to set aside $384 at least because, if he eats 4 days a week spending $3 then you’d have to multiply 3x4 and get $12 per week. Once you know he has $12 per week you multiply it by 32 and get your answer for how much money he would need for that time .

Answer:

$384

Step-by-step explanation:

4 days a week multiplied by 32 weeks is 128 days.

128 days multpiplied by 3 is 384.

Meaning Jeremiah will need $384 for the school year.

what is the tenth term in the sequence 25, 43, 61, 79, 97,....? a)187, b)151, c)133, d)115

Answers

Answer:

The tenth term would be: 187

Step-by-step explanation:

Best to make a table and apply the rule being used in order to find the pattern. The rule in this case is:

25 --- 43 --- 61 --- 79 --- 97--- ___ --- ___ --- ___ and so on

First we must find how 25 gets to 43, 61 to 79, and so on.

25 + 18 = 43

43 + 18 = 61

61 + 18 = 79

97 + 18 = 115

And you may continue this till you get to the tenth term!

6) 115

7) 133

8) 151

9) 169

10) 187

This is your answer!

A)

Answer:

A.187

Step-by-step explanation:

Find the common difference of the arithmetic sequence -14,-5,4,...

Answers

Answer:

It goes up by 9 every time hope this helped <3

Answer:

9

Step-by-step explanation:

The scale on a map is 2 cm = 15 miles. Dave measures the distance to the next town at 7 cm. how may miles away is the next town?

Answers

Answer:

15x3.5 = 52.5

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Multiplication method

Given the system of linear inequalities below Choose the point that represents a solution to the system

Answers

Answer:

listen to the song acquaintances by the weeknd its amazing

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