A water treatment plant needs to maintain the ph of the water in the reservoir at a certain level. To monitor this, they take 2 oz. Of water at 37 locations every hour, measure the ph at each of those locations, and find their average. If the ph level of the reservoir is ok, the results at each location will have varying results, with an average ph of 8. 5 and a standard deviation of 0. 22. If the ph level of the reservoir is ok, what is the probability that the sample average is less than 8. 42?.

Mila bought stock in company two years ago that was worth x dollars. During first year that she owned the stock, it decreased by 35%. During second year the value of the stock decreased by 32%, an expression in terms of a that represents the value of the stock after the two years have passed is 2x+0.67.

It is not always obvious from the context what a % is in relation to because of inconsistent usage. The typical meaning of a "10% rise" or "10% decline" in a quantity is that this refers to the quantity's starting value. As an illustration, the new price of a $200 item would be $220 if the price increased by 10%, or $20. The final price is equal to 100% of the starting price (100% + 10% = 110%).

Other instances of % changes include:

If a quantity is increased by 100%, the final amount will be 100% more than the original amount (100% of initial + 100% of increase = 100% of initial). The quantity has therefore doubled.

If an amount is increased by 800%, the final sum will be nine times as large as the original (100% + 800% = 900% = 9 times as large).

When something is reduced by 60%, the final sum equals 40% of the original (100% - 60% = 40%).

A reduction of 100% results in a final value of 0% (100% - 100% = 0%).

In general, if a quantity is changed by x percent, the final amount will be 100 + x percentage of the original amount, or (1 + 0.01x) times the original amount.

x-35%+x-32%

⇒[tex]x-\frac{7}{20} +x-\frac{8}{25}[/tex]

⇒[tex]2x+(\frac{-175-160}{500})[/tex]

⇒2x+0.67

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[tex]2 \sqrt[3]{5} [/tex]

2(3^√5

Discriminant for A-3, (2 imaginary solution)

Discriminant for B-1152 (2 real solutions)

Discriminant for C-400 (2 real solutions)

Discriminant for D-96  (2 real solutions)

I hope I was able to help some of it!

     By "undoing" the common logarithm by exponentiating both sides with base 10 to obtain [H+] = 10pH. "Solution A" has a hydrogen ion concentration of [H+] = 105.6 0.0000025 = 2.51 106 M.

   The number of articles for which an author has been cited at least that many times by other writers is used to compute the h-index. For instance, a scientist with an h-index of 17 has at least 17 papers to their credit, each of which has been mentioned at least 17 times.

At pH 7, [H+] = [OH-] = 1 x 10-7 M, the molarity of acidic H+ ions matches the molarity of basic OH- ions.

    The pH scale is logarithmic, which means that an increase or decrease in an integer number will result in a tenfold change in concentration. A pH of 3 is ten times more acidic than a pH of 4, for instance. Similar to how a pH of 3 is 100 times more acidic than a pH of 5, so is a pH of 5. A pH of 11 is also ten times more basic than a pH of 10, for example.

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Answer: 263.088

Step-by-step explanation:

Multiply the equation

¨What does Multiply mean?¨

To compute a product; to perform a multiplication.

(8.1) x (8.12) x 4

Answer    c

Step-by-step explanation: I did the test i hope this help unlike that girl who just wrote random numbers anyways have a good day

Answer: 23/24

Step-by-step explanation:

1) Set up the equation

[tex]\frac{5}{6} + \frac{1}{8}=?[/tex]

2) Set the fractions equal to each other

Find a number that can make both denominators the same.

What I found is that both numbers can multiply by 24! By multiplying the same number on the denominator and numerator ([tex]\frac{4}{4}[/tex]), the fraction doesn't change.

[tex]\frac{4}{4} * \frac{5}{6} + \frac{1}{8} * \frac{3}{3} =?\\\frac{20}{24} + \frac{3}{24}=?[/tex]

3) Add up the fractions

[tex]\frac{23}{24}}=?[/tex]

Answer:

2.5*10^7

Step-by-step explanation:

standard form means 1 number before the decimal

Answer: the answer for y=3x+7 is    x=y-7/3

the answer for y = -2x - 8   x=-8-y/2

Step-by-step explanation:

There are nine different steps in questionnaire design process among which the first step is to decide upon the information required.

A good survey needs a well-designed questionnaire. However, as there is no theory of questionnaires to serve as a guide, the researcher must build his or her own intuition for what constitutes "excellent design."

A good questionnaire should directly contribute to the accomplishment of the study's goals, give complete and accurate data, be simple for interviewers and respondents to complete, allow for solid analysis and interpretation, and be brief.

The design of a questionnaire will depend on whether the researcher wants to gather quantitative data or qualitative data for the sake of better understanding or developing hypotheses about a subject (to test specific hypotheses that have previously been generated).

In the questionnaire design process, there are in all nine steps in developing the questionnaire -

Thus, the first step in the questionnaire design process is to decide the information required.

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The maximum cost Dorothy should pay for the car to stay within her monthly budget amount is $23,518.84. See the explantion below.

A budget is a financial plan that takes into account both income and costs. In other words, it's a projection of how much money you'll make and expend over a specific time period, such as a month or a year.

The calculation that justified the above amount is solved as follows:

Given that:

Rate = 4%

Time = 4 years

The monthly payment is $490, to determine the amount (maximum) in 4 years, we use the Compound Interest formula:

                                          A = P (1+ (r/n)ⁿᵇ

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

b = number of time periods elapsed

A = P (1 + (0.04/1)^(1x4)

A = P (1.04)⁴ in four years

Hence, given that the monthly payment over the four-year period is $490, we say:


P [(1.04)⁴] /12 x4 = 490

⇒ P (1.04)⁴ = 490 x 48
P = (490 x 48)/1.1699
P = 20104.2824173

P [tex]\approx[/tex] 20,104

The maximum amount payable hence

= 20,104 (1.04)⁴

A = 23518.837

A [tex]\approx[/tex] 23,518.84

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Answer:

w = -8

Step-by-step explanation:

43 = -3w - 6w -29

combine w terms on right side:

43 = -9w -29

add 29 to both sides:

43 + 29 = -9w -29 + 29

72 = -9w

divide both sides by -9:

72/-9 = -9w/-9

w = -8

Answer: 735

Step-by-step explanation:

Answer: Area = 34992 square feet

Step-by-step explanation:

W = (9*18)

L = (12*18)

Area = W*L

Therefore, Area = 34992, and don't forget square feet

The equation of the perpendicular line in slope intercept form is

y = (-3/4)x - 9/4.

The slope is defined as the rate of change of the y-axis with respect to

x-axis.

We know equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.

We also know that perpendicular lines have a slope that is negative reciprocal of each other.

Given line is 8x - 6y = -5.

-6y = - 8x - 5.

-y = (-8/6)x - 5/6.

-y = (-4/3)x - 5/6.

y = (4/3)x + 5/6.

∴ Slope(m) = 4/3.

So, the line which is perpendicular has a slope(m) = -3/4 with points (1,-3).

∴ - 3 = (-3/4)(1) + b.

- 3 = -3/4 + b.

b = 3/4 - 3.

b = -9/4.

∴ The equation of the line is y = (-3/4)x - 9/4.

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Answer:

[tex]m = \frac{2 - 4}{ 6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} [/tex]

Hi that would be -1/3 or 1/-3 either one is correct.

Answer: congruent

Step-by-step explanation:

Jess put 7 blue counters in the bag.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.

Given Data

Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts

more blue counters in the bag.

Let x be the counter she puts in the bag

Total = 1 + 2+x

Total = 3 + x

Blue counters = 1 + x

Probability:

[tex]\frac{1+x}{3+x}[/tex] = [tex]\frac{4}{5}[/tex]

5(1+x) = 4(3 +x)

5 + 5x = 12 + 4x

x = 7

Jess put 7 blue counters in the bag.

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Step-by-step explanation:

Dmas divide multiple add subtract

divide 63 by 7 = 9 then multiply by 3 = 27 then subtract by 4 27-4 = 23

your awnser is 23

The value of the expression is -1.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

63 ÷ 7 x 3 - 4

Using PEMDAS rule of operation.

We multiply first.

So,

= 63 ÷ 21 - 4

Using the division.

= 63/21 - 4

= 3 - 4

= -1

Thus,

The value of the expression is -1.

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Answer:

the graph you want is

Step-by-step explanation:

The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

For example x ∝ y

The graph of seconds and ounces has shown.

If we look at the graph it is clear that as the ounces are increasing the seconds are also increasing. Therefore, it is a direct proportion.

Let's suppose the proportion is x ∝ y where x is ounces while y is seconds.

Removing proportionality,

x = ky

k = x/y

Substitute,(x,y) = (1,2)

k = 1/2

Hence "The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2".

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The net worth of the dentist is $381,585. And the correct option is D.

A person's or company's net worth is the value of their assets less the amount of liabilities they have.

The personal assets and liabilities of a dentist are listed below.

Car Value = $26,250

Car Loan = $4,600

Savings Account Balance = $42,607

Office Equipment = $19,400

Student Loans = $2,949

Credit Card Balance = $413

Checking Account Balance = $79,391

Home Value = $218,950

Net Worth of Dentist's

= Personal assets - liabilities

= 26250 - 4600 + 42607 + 19400 +79391 + 218,950 - 413

= 386598 - 4600 - 413

= 381585

= $381,585

Therefore, net worth is $381,585.

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Explanation:

Draw a circle and split it into 4 equal pieces.

We'll split the 160 students into four equal groups

160/4 = 40

Write the number 40 in each slice. Shade 3 of those slices to represent 3*40 = 120 students went to the pep rally (the remaining 40 did not go).

Answer:

120

Step-by-step explanation:

Take the 160 divide by ¾ to get 120.. These are the number of students who went

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.

Here, the lady has divided her day into three parts morning, afternoon and evening.

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

This is a type of stratified sampling.

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Answer:

the property is used here in 4(2)-3

The required property that is used is the substitution of values in the variable.

Given that,
A simplification of the expression is given we have to determine which property is used in the simplification,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As in the simplification shown that the variable x is substitute by the constant value 2, so this property can be stated as the substitution property.

Thus, the required property that is used is the substitution of values in the variable.

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The most appropriate choice for growth and depreciation will be given by:

Population on 1st January 2020 is 7.74 billion

What is growth and depriciation?

The increase in the value of a product over a period of time is called growth.

If V is the value after n years and [tex]V_0[/tex] is the present value r is r% per annum.

[tex]V=V_0(1 + \frac{r}{100})^n[/tex]

The decrease in the value of a product over a period of time is called depriciation.

If V is the value after n years and [tex]V_0[/tex] is the present value r is r% per annum.

[tex]V=V_0(1 - \frac{r}{100})^n[/tex]

Population on 1st January 2014 = 7.23 billion

Rate of growth of population = 1.14%

Population on 1st January 2020

                                                      [tex]7.23(1 + \frac{1.14}{100})^6\\7.23(1+0.0114)^6\\7.23(1.0114)^6\\[/tex]

                                                      [tex]7.74[/tex] billion

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Two angles are congruent if and only if they have the same measure.

Given,

“Congruent angles are angles with the exact same measure”

To define the Biconditional Statement:

Now,

What is Biconditional Statement ?

If two angles have the same measure, then the angles are congruent and if two angles are congruent, then the angles have the same measure.

"If two angles are congruent, then they have the same measure."

P = two angles are congruent.

Q = they have the same measure.

Hence, Two angles are congruent if and only if they have the same measure.

or: P if and only if Q, this is biconditional.

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Answer: x>2.7

Step-by-step explanation:

Answer:

awnser is b dived by a plus k

The two mortician spent equal fraction on time working to paperwork

In the given question, we have two mortician that work different hours.

The first mortician worked 45 hours a week and spent 15 hours doing paperwork.

The second mortician worked 25 hours a week and spent 8.33 hours on paper work.

Let's compare the ratios and find which mortician had a greater fraction on paperwork.

Mortician A

[tex]\frac{15}{45}= 0.3[/tex]

Mortician B

[tex]\frac{8.333}{25} = 0.3[/tex]

From the calculation above, both mortician spent equal ratio of time doing paperwork.

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