Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.
=
V12 + 7108
122 + 1083
42. 33 + 362 - 31
8.32
Which expression can be placed in the blank to correctly complete Ellie's
proof?

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]

Answer:

49:52

Step-by-step explanation:

Given that:

Total number of contacts on phone = 52

Family members in phone book : dad, mom, brother

Total number of family members = 3

Hence, non family members = 52 - 3 = 49

Number of family members to total phone contact

Selecting a contact that is not a family member :

49 : 52

Answer:

the answer is 49:3 :)

Step-by-step explanation:

O valor de x é 45º

Explicação:Confia no pai

Answer:

3.012 × 10^ − 6

Step-by-step explanation:

hope this helps

Answer:

h=4

Step-by-step explanation:

3h-18=10-4h

-18=10-7h

-28=-7h

-h=-7

h=7

Answer:

Step-by-step explanation:

Ok so we are going to start with the first statement. If you drive above 55mph you will get a ticket. Lets say that is P. The second statement. Kate drives 60mph. That is our Q.

P>Q

Q>R

P>R

R is our conclusion.

So our conclusion is indeed. Kate will get a ticket.

Answer:

Option (2).

Step-by-step explanation:

Number of Democrats in a political discussion = 8

Number of Republicans = 3

Number of independents = 7

Total members in the discussion = (8 + 3 + 7)

                                                       = 18

Probability of selecting an independent = [tex]\frac{7}{18}[/tex]

Remaining members after selecting one independent = 17

Probability of selecting a Democrat = [tex]\frac{8}{17}[/tex]

Probability of selecting a Republican then a Democrat = [tex]\frac{7}{18}\times \frac{8}{17}[/tex]

                                                                                           = [tex]\frac{28}{153}[/tex]

Therefore, Option (2) will be the answer.

Answer:

Talk in English I don't understand your language.

Step-by-step explanation:

So Talk in

English

OK

Bro.

Answer: A.) y=-2/3x-3

Answer: 30 cents

Step-by-step explanation:

1/20 of a dollar is 5 cents

Then we multiply by the numerator (6) to get our answer....

5x6= 30

Hoped this helps! :)

Answer:

80

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

c=10

hope this helped... if it did, please let me know by marking me the brainliest:))

Answer:

4) 8 3/4

Step-by-step explanation:

I looked it up on m a t h w a y. c o m /Algebra

Answer:

42 blocks

Step-by-step explanation:

If each block is 2 inches, and the height of the door is 84 inches, you need to divide the height by the block size. Once you divide 84 by 2, you should get 42 blocks as your answer.

Answer:

25,

8:5

4:3

Step-by-step explanation:

you have to model it as a system of equations.

first, we know there are a total of 65 children, boys and girls. so

[tex]65 = b + g[/tex]

we also know there are 15 more boys than girls so

[tex]b = g + 15[/tex]

now, we can plug the second equation into the first to get

[tex]65 = (g+15)+g[/tex]

so

[tex]2g = 50, g = 25[/tex]

if g = 25, b must = 40, because it is g+15.

the ratio will be 40 boys to 25 girls. 40:25 or 8:5 if you simplify.

if there are 5 more girls, g = 25+5 = 30, so the ratio is 40:30 or 4:3.

Answer:

A) 25

B) 40 : 25

C) 40 : 30

Step-by-step explanation:

I'm not positive on this but I think it might be right

Answer:

15.03 cm.

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.

I hope this helps!

Answer:

Literslly anything less then -2 and greater then -3.5

Step-by-step explanation:

-2.1

-2.2

-2.3

-2.4

-2.5

-2.6

-2.7

-2.8

-2.9

-3.0

-3.1

-3.2

-3.3

-3.4

Answer:

8.86

Step-by-step explanation:

The final cost to the customer would be:

$8.86

Explanation:

We can find this answer by taking each step individually.

The first step is to determine the cost after the 100% markup.

To get this, we would multiply the original cost by 2.

10*2 = 20.

Now that we have that new cost, we would find the cost after each markdown.

We would get this by taking the cost from the previous month and multiplying by 0.75 (75%), which is how much is left after each markdown of 25%.

First ---> 20*.75 = 15.

Second---> 15*.75 = 11.25.

Third ---> 11.25*.75 = 8.43.

Now that we have the cost of each shirt, we have to find the price along with sales tax.

Since the sales tax is 5%, we need to multiply by the whole cost 100% plus the addition 5% or (1.05).

8.43*1.05= 8.86  

Answer:-8,-9

Step-by-step explanation:

Answer: x = -10

Step-by-step explanation: Times both sides by 5 then divide by -3.

$128

Step-by-step explanation:

you can literally just look it up ya know?

Answer:

Below

Step-by-step explanation:

18.   DHJ

19.  AJB

20.  75

21.  130

Answer:

24

Step-by-step explanation:

50+32=82

300-82=218

218÷15=24

Answer:

B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.

Step-by-step explanation:

to calculate mean

14.25+ 13.7 +14.02 +14.13+ 13.99 +14.04

= 84.13/6

= 14.02167

average = 14

s = 0.1837

test statistics t:

(bar(x)-mu)/(s/√n)

= 14.02167-14/0.1837/√6

0.02167/0.1837/2.4495

= 0.02167/0.07499

=0.28897

this is approximately 0.29

therefore B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.

Answer:

1.

-3x + 8y = -5

6x + 2y = -8

Set the equations to a common variable.

-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8

6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4

Set the equations equal to each other.

3/8x - 5/8 = -3x - 4

Combine like terms.

3x + 3/8x = -4 + 5/8

3.375x = -3.375

Divide by 3.375

x = -1

Plug x back in to find y.

-3x + 8y = -5

-3(-1) + 8y = -5

3 + 8y = -5

8y = -8

y = -1

answer: (-1, -1)

2.

3x + 2y = -16

-3x - 8y = 46

Set the equations to a common variable.

3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8

-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4

Set the equations equal to each other.

-3/2x - 8 = -3/8x - 23/4

Combine like terms.

-9/8x = 9/4

or

-1.125x = 2.25

Divide by -1.125

x = -2

Plug x back in to find y.

3(-2) + 2y = -16

-6 + 2y = -16

2y = -10

y = -5

answer: (-2, -5)

Answer:

[tex]-7\frac{1}{7}[/tex]

Step-by-step explanation:

Answer:

-7 1/7

Step-by-step explanation: