The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective. What percentage of pools having an acceptable pH level

Answers

Answer 1

Answer:

78.383%

Step-by-step explanation:

The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.

Using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 7.2

z = 7.2 - 7.4/0.22

z = -0.90909

Probability value from Z-Table:

P(x = 7.2) = 0.18165

For x = 7.8

z = 7.8 - 7.4/0.22

z = 1.81818

Probability alue from Z-Table:

P(x = 7.8) = 0.96548

The probability of pools having an acceptable pH level(7.2 and 7.8)

= P(x = 7.8) - P(x = 7.2)

= 0.96548 - 0.18165

= 0.78383

Converting to percentage

0.78383 × 100

= 78.383%

The percentage of pools having an acceptable pH level is 78.383%


Related Questions

You move left 3 units and down 2 units. You end at (0, -1). Where did you start?

Answers

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Suppose i started from ( x , y ) .

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So ;

3 units left :

[tex]x - 3 = 0[/tex]

Add sides 3

[tex]x = 3[/tex]

_________________________________

2 units down :

[tex]y - 2 = - 1[/tex]

Add sides 2

[tex]y = 1[/tex]

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Thus i started from ( 3 , 1 ) .

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help help help help help help help help help help

Answers

Answer:

27

Step-by-step explanation:

Answer:

the answer its 31

Step-by-step explanation:

and first 21 : (2+1) x 5- 2^2

21 : 3 x 5 -2^2

7x5- 2^2

35-4

31

I hope you understand

A large group of 77 people, consisting of students and adults, are going to a museum. An adult ticket costs $6.00 and a student ticket costs $4.00. The group's total ticket cost is $338.00. How many adults went on the trip to the museum? PLS HELP!!!! + extra points if answered

Answers

I believe the answer is 15 adults-


So, there are 77 people for a grand total of $338, and my strategy for these are guess until you get it.

Let’s say adults are A and children are C, A=6 and C=4
6(15)+4(62)= 90+248= 338
15+62=77

There are 155 adults went on the trip to the museum.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A large group of 77 people, consisting of students and adults, are going to a museum.

And, An adult ticket costs $6.00 and a student ticket costs $4.00. The group's total ticket cost is $338.00.

Now,

Let number of adults went on the trip to the museum = x

And, Number of students went on the trip to the museum = y

Here, A large group of 77 people, consisting of students and adults, are going to a museum.

Hence, We get;

⇒ x + y = 7  

⇒ y = 7 - x   .. (i)

And, An adult ticket costs $6.00 and a student ticket costs $4.00. The group's total ticket cost is $338.00.

Hence, We get;

⇒ 6x + 4y = 338  .. (ii)

From (i), we can put the value of y in (ii), we get;

⇒ 6x + 4y = 338

⇒ 6x + 4(7 - x) = 338

⇒ 6x + 28 - 4x = 338

⇒ 2x + 28 = 338

⇒ 2x = 338 - 28

⇒ 2x = 310

⇒ x = 310/2

⇒ x = 155

Thus, Number of adults went on the trip to the museum = 155

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Enter the decimal equivalent of 9/12

Answers

0.75 is the decimal equivalent of 9/12

Answer:

Hey! so its simple to find the decimal you need to divide so 12/9 is 1.33

Step-by-step explanation:

Hoped I helped please put me on brainliest oh and have a great day! ^-^

Help please answer!this is on Zearn.org

Answers

the answer to this is 3/14

Answer:

3/14 this is correct answer

Step by step explanation

3 over 14

The volume of a cylinder is 72 if the radius is 3 what is the height

Answers

Answer is Height=2.55

A school event requires at least 3 parents for every 10 kids. How many parents for 50 kids?

Answers

Answer:

16 i think

Step-by-step explanation:

could i have brain liest tho i 4/5

Answer:

15 parents

Step-by-step explanation:

If there are 3 adults per 10 kids, if there are 50 kids then you would divide 50 by 10 to get five. Then multiply 5 by 3 to get 15.

A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5, how many burgers did they sell total?

Answers

Answer:

Step-by-step explanation:

We can write an relationship for this as:

3

:

2

24

:

b

Where  

b

is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for  

b

:

3

2

=

24

b

2

3

=

b

24

24

×

2

3

=

24

×

b

24

48

3

=

24

×

b

24

16

=

b

b

=

16

The restaurant would of sold  

16

burgers without cheese with the information provided in the problem.

22222222222222200000000

Answers

For those unaware of what this means

This is part of the thousands of reviews for a seafood place in China. Don't believe me? Look it up!

Help me please I don’t . Get so please give me the answer

Answers

Answer:

1953125

Step-by-step explanation:

Answer:

5⁹ =5⁴

5⁵

Step-by-step explanation:

this is my answer

What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help

Answers

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

Hhheleppppp urgggeenttt

Answers

they intercept at (-1,5)


Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).
Type an equation using slope-intercept form or using the given point in point-slope form.

Answers

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line:  y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

Answer the question in the picture please!!

Answers

Answer:

Step-by-step explanation:

take the 142 degree angle and subtract it from 180 to find value of angle n, you will get 38. then you add 38 and 90 together to get 128. Since all angles of a triangle add up to 180. You subtract 128 from 180 to get 52.

Angle M = 52

Angle L = 90

Angle N = 38

Angle LNM = 180

make x the subject
thank you​

Answers

Answer:

[tex]x =\sqrt{\frac{a^6m}{b^2}+n}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASEquality PropertiesExponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]

Step-by-step explanation:

Step 1: Define equation

[tex]a\sqrt{\frac{x^2-n}{m} } =\frac{a^2}{b}[/tex]

Step 2: Solve for x

Multiply a on both sides:                    [tex]\sqrt{\frac{x^2-n}{m} } =\frac{a^3}{b}[/tex]Square both sides:                              [tex]\frac{x^2-n}{m} =(\frac{a^3}{b})^2[/tex]Simplify:                                               [tex]\frac{x^2-n}{m} =\frac{a^6}{b^2}[/tex]Multiply m on both sides:                   [tex]x^2-n =\frac{a^6}{b^2}m[/tex]Add n to both sides:                           [tex]x^2 =\frac{a^6}{b^2}m+n[/tex]Simplify:                                               [tex]x^2 =\frac{a^6m}{b^2}+n[/tex]Square root both sides:                      [tex]x =\sqrt{\frac{a^6m}{b^2}+n}[/tex]

If you get it right I will give a brainlist

Answers

Answer:

Flour 5, 10, 15, 20

Sugar 4, 8, 12, 16

Step-by-step explanation:

Answer:

Flour (cups):   5  10  15   20

Sugar (cups):  4   8   12   16

You need 16 cups of sugar

What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.

Answers

Answer:

4

Step-by-step explanation:

Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same.

m = 4

Hilah's soccer team is trying to raise $2414 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $34 for the breakfast. How many people need to attend their breakfast in order to raise $2414?

Answers

Answer:

Therefore we understand that exactly 71 people will have to attend breakfast in order to raise 2414 dollars.

Step-by-step explanation

We understand that we have to calculate the amount of people paying for breakfast so if 71 people each pay $34 we would get 2414

= 2414 ÷ 34 (This would give us 71 we get this straight away when we read the problem)

We can also fact check this by doing

= 34 x 71 (This gives us 2414)

Find the slope of the equation of the line that passes through the given points. through: (0, -3) and (3, 4)

Answers

Answer:

7/3

Step-by-step explanation:

The slope is found by dividing the difference in the y-coordinates by the difference in the x-coordinates.

Here, the difference in the y-coordinates is: 4 - (-3) = 4 + 3 = 7. The difference in the x-coordinates is: 3 - 0 = 3.

Dividing 7 by 3, we get a slope of 7/3.

The slope you are looking for is 7.

If you answer I’ll give brainliest and points

(Question in photo!)

Answers

Answer:

c

Step-by-step explanation:

Answer:

KKKK

Step-by-step explanation:

Determine if The square root of 9 is rational or irrational and give a reason for your answer.

Answers

Answer:

As square root of 9 can be written in the required form for being a rational number, so it is a rational number

Step-by-step explanation:

First of all we'll define rational numbers.

A number that can be written in the form p/q where p and q are integers and q≠0 is called a rational number.

Now we have to check if [tex]\sqrt{9}[/tex] is rational or not, we will check if it can be written in the form p/q

[tex]\sqrt{9} => \frac{\sqrt{9}}{1} => \frac{3}{1}[/tex]

As square root of 9 can be written in the required form for being a rational number, so it is a rational number

What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)

Answers

Answer:

Domain: {-3, -2, -1}

Range: {-3, 6}

General Formulas and Concepts:

Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

Step 1: Define

(-3, 6)

(-2, -3)

(-1, 6)

Step 2: Identify x-values

x = -3, -2, -1

Step 3: Identify y-values

y = -3, 6, 6

3. $590 is deposited into a
savings account that earns
4.3 % simple interest for 3
years.

Answers

Answer:

615.37

Step-by-step explanation:

590 x 1.043

Hope I helped!

HELP I WILL MARK BRAINLIEST
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 1 cm

Answers


By the scale of 1:1000, it implies that ; 1cm on the map represents 1000 on actual ground.
So 2.5cm will represent 2.5×1000=2500

The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.


Answers

Answer:

The answer is 3x+11

Step-by-step explanation:

Just add 7 and 4.

Hey, we are doing a review on fractions but I don't remember how to convert fractions do decimals.

Answers

Answer:

It's quite simple, for example, 1/2 would be the same as 50%, 1/3rd would be the same as 33.333333333%, and 1/4th would be the same as 25%

dived the numerator by the denominator.

Please help 25 points plus brainlyist

Match the mathematical phrases to the correct equations.
The product of a number and thirty-
point-six is the same as five-point-two.
k(30.6) = 5.2
Five-sixths more than a number
is twenty
x + 5/6 = 20
One-fourth of a number is forty.
1/4n = 40
Four-tenths minus two times a number
is eleven and two-tenths.
0.4-2m = 11.2

Answers

Answer:A to C, B to D,C to B, D to A

Step-by-step explanation:

right on edge,if confusing I could try to take a pic

In Terrance county, 85% of eligible voters are registered to vote, and government records from a recent gubernatorial election indicate that 60% of registered voters actually voted in the election. If there are 21,800 eligible voters in Terrance County, how many people voted in the recent gubernatorial election?

Answers

Answer:

The Texas secretary of state’s office reported a tally of 9,669,246 votes for early voting Saturday morning, as some county data continued to trickle in. This year’s turnout for early voting alone exceeded the state’s entire turnout of 8,969,226 in 2016, when the state voted for Donald Trump with a margin of 9 percentage points.

In 2016, turnout for registered voters in Texas was 59.4%, lending credence to its reputation for low turnout. With current early voting totals, the state has already hit 57% turnout, and more than half of registered voters have voted in 128 of the state’s 254 counties. In 29 Texas counties, there was a 60% turnout or better.

Step-by-step explanation:

Identify proportional realationships from graphs

Answers

Answer:

its yes

Step-by-step explanation:

Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6

Answers

Answer:

1/2 or C

Step-by-step explanation:

1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over

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