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

what is the answer of this 100 x 20 =

Answers

Answer:

2,000

Step-by-step explanation:

An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:

100 x 20 = ?

1 x 2 = ?  | 000

2 | 000

2,000

Here's another example:

300 x 5000 = ?

300 x 5000 = ?

3 x 5 = ?  | 00000

15 | 00000

1,500,000

A. Describe how each student might have reached his or her conclusion. Is each student’s conclusion valid? Explain.

Answers

Answer:  Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.

Step-by-step explanation:

What is the minimum number of x-intercepts that a polynomial of degree 10 can have?

Answers

The answer for this question is 0

PLEASE HELP WILL GIVE BRAINLIEST PLSSSSS

Answers

Answer:

c

Step-by-step explanation:

Renee divided an integer “x” by -4 and got 10. Then, she divided the 10 by integer “y” and got -2. Find the quotient of integers “x” and “y”. What's the quotient of x and y?


Write a complete explanation (5 or more sentences) about how you got to this answer and include your steps.

Answers

Answer:

x=-40, y= -5 the quotient of x and y ie x/y = 8

Step-by-step explanation:

we first have that when -4 divides x we get 10, thus x must be -40, simmilarly we have that 10/y = -2 thus y= -5 , therefore y=-5, their ratio or quotient is simply -40/-5 = 8.

Balu and Pumba shared ½ of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat?

Answers

Answer: 1/3

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

2/6 + 1/6 = 3/6 which is 1/2 2/6 is the amount balu had and 1/6 is the amount pumba had

For this function, what would f(34) = 72 mean?
A. That the 34th case has 72 blocks
B. That the y-intercept is 72
C. That the point (72, 34) is part of the solution
D. That the 72nd case has 34 blocks

Answers

Answer:

c

Step-by-step explanation:

Use the domain and range of each of the following relations to determine which is a function.
{(-4,3), (-2,-1), (-4,8)}
{-4, 3), (-2.-1), (-7, 8)}
{-4,-2,-7, 7}
{-4,3). (-2, -1). (-2, -8), (-7,8)}

Answers

Answer:

A) Not a function

B) Function

C) Function

D) Not a function

Step-by-step explanation:

If the relation has two of the same x-values (that equal different y-values), it is not a function. In other words, if each input value leads to only one output value, classify the relation as a function.

{(-4,3), (-2,-1), (-4,8)}  = Not a function

{-4, 3), (-2.-1), (-7, 8)}  = Function

{-4,-2,-7, 7} = Function (I think?)

{-4,3). (-2, -1). (-2, -8), (-7,8)}= Not a function

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.

Answers

Answer:

Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

Step-by-step explanation:

We are given that a hypothesis test of the given claim is conducted. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand.

Let p = the proportion of Americans that have seen a UFO

So, Null Hypothesis, [tex]H_0[/tex] : p = [tex]\frac{2}{1000}[/tex] = 0.002

Alternate Hypothesis, [tex]H_A[/tex] : p < [tex]\frac{2}{1000}[/tex] ⇒ p < 0.002

Here, the null hypothesis states that the proportion of Americans that have seen a UFO is equal to 2 in a thousand.

On the other hand, the alternate hypothesis states that the proportion of Americans that have seen a UFO is less than 2 in a thousand.

Now, the type I error states that the probability of rejecting the null hypothesis given the fact that the null hypothesis is true. Or, it is the probability of rejecting a true hypothesis.

So, in this context, the type I error is to Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

BILL IS IN A CLASS OF 15 BOYS AND 35 GIRLS. 30% OF THE STUDENTS IN
THE CLASS TAKE THE BUS TO SCHOOL. HOW MANY STUDENTS DO NOT TAKE
THE BUS TO SCHOOL?
Step by step explanation plz I need to show my work!

Answers

Answer:

35

Step-by-step explanation:

15+35=50

50=total number of students

50*0.3 = 15

50 - 15 = 35

35 students do not take the bus to school

Evaluate -5x+8 when x=3

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

you do -5 times 3 and get -15 then you add the 8 with -15 and get a -7

What is the domain of the equation y = 2/5x - 4?

Answers

Answer:

domain= {x/x€R/x≠0}

Step-by-step explanation:

The domain of the equation y = 2/5x - 4 is all the real values of x.

What is function?

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given equation is,

y = 2/5x - 4.

The graph of the given equation is given below.

Since, the domain of the function is all the values of x,

For the given function, the values of x varies from -∞ to +∞.

Implies that, the value of x is the real value.

Therefore, the domain of the given equation is all real values.

To know more about Function on:

https://brainly.com/question/2411204

#SPJ2

WHAT IS 12X124
PLEASE ANSWER ASAP FIRST TO ANSWER GETS BRAINLY

Answers

Answer:

1488 (✿◕‿◕✿)

Step-by-step explanation:

Answer:

1488

step-by-step explanation:

124

12 when multiplied equal 1488

The total dinner bill for 5 people was 55.30. How much will each person pay if they share the cost equally

Answers

Answer:

11.06

Step-by-step explanation:

55.30/5 Separate the decimals and whole numbers and divide both by 5

55/5=11 and 0.30/5=0.06

11+0.06=11.06

Answer:

11.06

Step-by-step explanation:

pls help fast pls pls

Answers

Answer:

x = 10-3

When x + 3 = 10 is simplified x = 7 AND x = 10-3 also equals 7 (x = 7)

the answer is : x = 10 - 3

because it’s the same as x + 3 = 10

10-3 = 7

replace 7 with x

7+3 =10

10-3=7

Exponential Function:

Activity: Bacterial population

A population of bacterium in laboratory conditions grows every 20 minutes in 10% the number of specimens. At the beginning of the observation, at 8:00 AM, the population had approximately 3,000,000 individuals:

1. Complete the following attached table (table below) as requested by completing each of the blank boxes.

2. What is the approximate population of bacterium at 10:00 AM?

3. Write the function in power form, indicating which is the dependent and independent variable.

4. Using the function found, determine the bacterial population five hours after the start of the observation.

Answers

Answer:

See below

Step-by-step explanation:

GivenInitial population at 8:00 AM3000000Growth rate = 10% = 1.1 times per 20 minSolution

1. Table

Note. I am not sure what are the last 3 rows. Just added next 3 terms.

8:00  ≡  G(0)   ≡   3000000              ≡  30000008:20  ≡  G(1)    ≡   3000000 *1.1        ≡  33000008:40  ≡  G(2)   ≡   3000000 *1.1^2    ≡  36300009:00  ≡  G(3)   ≡   3000000 *1.1^3    ≡  39930009:20  ≡  G(4)   ≡   3000000 *1.1^4    ≡  4392300

2. Population at 10:00

Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 minPopulation = 3000000*1.1^6 = 5314683

3. Function to reflect the population growth

G(x) = 3000000*1.1^xG(x) - is dependent variable, population of bacteriax - is independent variable, time increment of 20 min

4. Population after 5 hours

5 hours = 5*3*20 min = 15*20 minG(15) = 3000000*1.1^15 ≈ 12531745

Page
writh the unit of electric charge
eyon
on the​

Answers

Answer: a battery it is right it told me the answer

Step-by-step explanation:

Question 3/3 Devon opened a bank account with $225. He saves $25
per month. What is the least amount of months it will take him to save $750?

Answers

Answer:

21 Months

Step-by-step explanation:

If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.

Simplify y + (15 + y)

Answers

Answer:

2y + 15

I hope this helps!

Remove the parenthesis:

y+15+y

Group like terms:

y+y+15

Add similar elements:

2y+15

what is the slope of this line ((2,3) (5,5) (8,7)

Answers

Answer:

[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coorcinates of the points:

(2, 3); (5, 5)

[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]

(2, 3); (8, 7)

[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]

The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.

7g:1kg to its simplest form​

Answers

Answer:

7kg:1kg=7:1 itself

Because 7 and 1 has one '1' as a common factor, so they can't be simplified

اور مدنی
Sin A /1-cosA= cot1/2
عورت سے​

Answers

Please re-explain? I don’t understand.?

Dylan took an applicant-paid job through an employment agency. The job pays $395 per week. Dylan must pay a fee to the agency. The fee is 20% of his first 4 weeks pay. How much does Dylan owe the employment agency?

Answers

Answer:

Dylan owed a $1,264 fee, and earned $316

Step-by-step explanation:

First find out how much money he gets in 4 weeks without the fee

395 times 4 = $1,580

Then multiply 1,580 by the .2 percent he owes the eployment agency

$316

(He gets $316 for working for 4 weeks minus the fee) Subtract the payment without the fee by the payment with the fee to find out how much the fee was.

Dylan owe the employment agency $316

First we need to calculate the amount that Dylan will earn for the first 4 weeks. This will be:

= Weekly earnings × Number of weeks

= $395 × 4

= $1580

Since Dylan pays 20% to the employment agency, then the amount owed will be:

= 20% × $1580

= 0.2 × $1580

= $316

In conclusion, Dylan owe the employment agency $316.

Read related link on:

https://brainly.com/question/12860598

What is 3. 9, 27, 81, 243 can someone plz help

Answers

Answer:

This is an exponent problem. 3 to the power of 4 or maybe 5

Step-by-step explanation:

Each number in this pattern is multiplied by 3

Which angle is a vertical angle with Angle EFD?

Answers

Answer:

Angle AFB

Step-by-step explanation:

What the answer and how

Answers

Not for sure but it’s most like 6/9


The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?

Answers

Answer:

a. 14,000 pesos

b. 23 years

Step-by-step explanation:

How do you do this question?

Answers

Step-by-step explanation:

lim(n→∞) an / bn

= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)

= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)

= lim(n→∞) (sin²n)

DNE

Since the limit does not exist, the limit comparison test is inconclusive.

I think of a number.

I multiply this number by 8, then subtract 66
The result is twice the number that I was thinking of.

What is the number I was thinking of?

Answers

8x-66=2x (write it out as algebra)
6x=66(put the x’s on one side)
x=11 (simplify)

Answer:

11

Step-by-step explanation:

Set up:

8x - 66 = 2x -> Subtract 2x from either side

8x - 2x = 66 -> Simplify

6x = 66 -> Divide either side by 6

x = 66/6 = 11

The number is 11

Add 1 to half of h.How to write in algebraic expression?​

Answers

The expression would be
1/2h + 1
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