A bag contains 2 red, 8 blue, and 8 green marbles. Grant picks one at random and keeps it. Then Bailey picks a marble. What is the probability that they both select a red marble? ​

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

The required fog ( x ) = 3x² + 5. Option D is correct.

Given that,
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x) is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Here,
f( x ) = 3x + 2
g( x ) = x² + 1
fog ( x ) = f( g( x ) )
Same as substituting the value of x we substitute a function g inside the function f.
fog ( x ) = 3 (x² + 1) + 2
fog ( x ) = 3x² + 5

Thus, the required fog(x) = 3x² + 5. Option D is correct.

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Let's change it by multiplying by 10^6.

So, the number is:

82,840,000 [82 million, 840 thousand]

Now,

For scientific notation, we have to take the decimal point until there is 1 digit to its left.

Thus it will be:

8.284

This number will be multiplied by a power of 10. This power will be the number of digits we went left to have 8.284 instead of 82,840,000...

Well, that's 7 digits. Thus, the scientific notation would be:

Answer:

85 - 40 = 45 ÷ 3 weeks = $15

You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

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Answer:

Step-by-step explanation:

-7/2t = 3x^2 - 5

t =  -2(3x^2 - 5)/7

The value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function:

g(x) = 3x² - 5

To find the value of such that g(x) = -(7/2)t

Equate both the equations:

3x² - 5 = -(7/2)t

After simplification:

t = [2/7](5 - 3x²)

The above equation represents the value of t.

Thus, the value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.

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The graph of the equation is attached below and this can be determined by using the formula of the volume of the cone and the slope-intercept form of the line

Given :

For cones with a radius of 6 units, the equation V=12h relates the height h of the cone, in units, and the volume V of the con, in cubic units.

The volume of the cone is given by the formula:

v = 1/3. π .r².h

Now, substitute the value of r in the above formula.

v = 12πh

Now, compare this equation with a slope-intercept form which is given by:

y = mx + c

where m is the slope and c is the y-intercept.

From comparing the equation, it can be concluded that:

y = V

x = h

c = 0

m = 12

Now, draw the graph of the line that passes through the origin. The graph is attached below.

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

                    a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

                               b = 5

Given:

Fixed pay = $25 a day

$2 for each toque he sells

• a)

$25 a day never changes, he is paid $25 a day no matter how many toques he sells.

• b)

Y = 25 + 2x

Where:

y = Jerry's daily salary

x = number of toques sold

• c)

x = 17

y= 25 + 2 (17)

y= 25 + 34

y= 59

Answers:

a) $25 per day

b) y=25+2x

c) $59

Answer:

119,940 books are not about math.

What I did:

60x2000=120,000

120,000-60=119,940

Answer:

119940

Step-by-step explanation:

.05 % are about math

b= books

b * .05% = 60

Change to decimal form

b * .0005 = 60

Divide each side by .0005

b = 60/.0005

b =120000 books in the store

we want the ones not about math

120000-60

119940

Answer:

>

Step-by-step explanation:

-3/4=-.75 &  1/2=.5

Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

35.19

Step-by-step explanation:

equation is : C=2πr

\( \Large \underline{\tt Given} :\)

\( \\ \)

\( \Large \underline{\tt To \: Find} :\)

\( \\ \)

\( \Large \underline{\tt Solution} :\)

As, we have diameter of circle is 5.6 cm and radius is half of diameter.

\( \tt : \implies Radius, r = \dfrac{d}{2}\)

\( \tt : \implies Radius, r = \dfrac{5.6 \: cm}{2}\)

\( \tt : \implies Radius, r = \dfrac{\cancel{56} \: cm}{10\times \cancel{2}}\)

\( \tt : \implies Radius, r = \dfrac{28 \: cm}{10}\)

\( \tt : \implies Radius, r = 2.8 \: cm\)

\( \\ \)

Now, for Circumference :

\( \Large \underline{\boxed{\bf{Circumference = 2\pi r}}}\)

\( \tt : \implies Circumference = 2 \times \dfrac{22}{7} \times 2.8 \: cm\)

\( \tt : \implies Circumference = \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{28}}{10} \: cm\)

\( \tt : \implies Circumference = 44 \times \dfrac{4}{10} \: cm\)

\( \tt : \implies Circumference = \dfrac{176}{10}\: cm\)

\( \tt : \implies Circumference = 17.6\: cm\)

\( \\ \)

Hence, circumference is 17.6 cm.

Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

Answer:

If I drink juice, then it is breakfast time. if it is breakfast time, then I drink juice.

Step-by-step explanation:

Answer:

i think that it is B or C maybe

Answer:

Step-by-step explanation:

Answer:

%25 of $12 an hour = 3

The equivalent expression for the expression is 2x + 4

From the question, we have the following parameters that can be used in our computation:

(x+2)+(x+2)

Remove the bracket

So, we have

x + 2 + x + 2

Collect the like terms

This gives

x + x + 2 + 2

Evaluate

2x + 4

Hence, the equivalent expression for the expression is 2x + 4

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For the given parabola, the axis of symmetry is x = 2.

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

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The characteristic equation corresponding to the homogeneous equation is \(4r^2 - 1 = 0\). The quadratic equation two distinct roots: \(r_1 = \frac{1}{2}\) and \(r_2 = -\frac{1}{2}\).

To solve the initial-value problem, we will first find the general solution to the homogeneous equation \(4y'' - y = 0\) and then find a particular solution to the non-homogeneous equation \(4y'' - y = xe^{x/2}\). By combining the general solution with the particular solution, we can obtain the solution to the initial-value problem.

1. Homogeneous Equation:

The characteristic equation corresponding to the homogeneous equation is \(4r^2 - 1 = 0\). Solving this quadratic equation, we find two distinct roots: \(r_1 = \frac{1}{2}\) and \(r_2 = -\frac{1}{2}\).

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Answer:

34.01

Step-by-step explanation:

By Pythagoras Theorem:

\( {x}^{2} = {31}^{2} + {14}^{2} \\ = 961 + 196 \\ = 1157 \\ x = \sqrt{1157} \\ x = 34.0147027 \\ x = 34.01\)

Answer:

39.179 OR 39.18

Step-by-step explanation:

31^2 + 14^2 = x^2

961 + 574 = x^2

1535 = x^2

Square root 1535

= 39.179 or 39.18 rounded to the nearest tenth

a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

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Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

The probability that the proportion surviving for at least five years will exceed 80% is 0.00084.

It is given to us that -

65% of the total dialysis patients can survive for at least 5 years

A simple random sample consists of 100 new dialysis patients

We have to find out the probability that the proportion surviving for at least five years will exceed 80%.

From the given information, we have -

Probability, p = 65% = 0.65

=> Population mean, μ = 0.65

Number of patients in the sample, n = 100

The raw data, x = 80% = 0.80

Now, we know the standard deviation of a given sample can be calculated as -

σ = \(\sqrt{\frac{p(1-p)}{n} }\)

=> σ = \(\sqrt{\frac{0.65(1-0.65)}{100} }\)

=> σ = \(\sqrt{\frac{0.2275}{100} }\)

=> σ = 0.04770 ----- (1)

We also know that the z-score can be calculated by the formula -

z = (x-μ)/σ

Substituting all the values in the above formula for z-score, we have -

z = (x-μ)/σ

=> z = (0.80-0.65)/0.04770

=> z = 3.14

From the normal distribution table, we can find out the corresponding area for the value of z = 3.14 which is equal to 0.99916.

For a value of the raw data, x to be more than 80%, the area to the right of normal distribution table for z = 3.14 is required.

=> P(x>80%) = 1-0.99916

=> P(x>80%) = 0.00084

Therefore, the probability that the proportion surviving for at least five years will exceed 80% is 0.00084.

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By using the change of base formula, 1.405684 is found to be the solution. Option 2 is the correct answer.

To solve the equation 3x+1 = 15 for x using the change of base formula, we need to first isolate the variable x. We can do this by subtracting 1 from both sides of the equation:

3x = 14

Then we can divide both sides by 3 to get x alone:

x = 14/3

Now we can use the change of base formula to express x in terms of logarithms. Let's use the base 10 logarithm:

log(14/3) = log(14) - log(3)

We can evaluate the logarithms using a calculator:

log(14) ≈ 1.146128

log(3) ≈ 0.477121

So we get:

log(14/3) ≈ 0.669007

Now we can use the given options to find the logarithm that is closest to 0.669007. We can do this by calculating the absolute value of the difference between each option and 0.669007, and choosing the option with the smallest absolute difference:

|log( y / b ) - 0.669007| ≈

-0.594316 : |(-0.594316) - 0.669007| ≈ 1.263323

1.405684 : |(1.405684) - 0.669007| ≈ 0.736677

1.464973 : |(1.464973) - 0.669007| ≈ 0.795966

3.469743 : |(3.469743) - 0.669007| ≈ 2.800736

Therefore, the option that is closest to 0.669007 is 1.405684. This means that:

log( y / b ) ≈ 1.405684

To find y/b, we can rewrite the equation as:

10^1.405684 ≈ y/b

Using a calculator, we get:

y/b ≈ 25.078

Therefore, the answer is approximately:

log(14/3) ≈ log(y/b) ≈ 1.405684

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