A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%. What is the minimum sample size needed?.

Part 2

The solution is described as p is less than or equal or equal to 14

Answer:

4+(-12x)

Step-by-step explanation: Hope this helped!

Answer:

6  19 /24

Step-by-step explanation:

find the lcd and add

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Step-by-step explanation:

Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.

Fraction : Word problems may involve fractions if we are dealing with partial values coming from a whole.

Total number of pages she read on Monday are 50 pages .

Total number of pages she read on Tuesday are 40 pages .

Operations with Fractions:

we have to remeber some important rules, making fractions similar for addition and subtraction, and applying the reciprocal for the divisor in division. The operations would depend on the analysis of the problem.

We have given in the problem that on Monday, Saumya read 1/3 of a book and on Tuesday, she read 2/5 of the remaining pages. After those, the remaining number of pages is 60

Firstly, we have to find the total number of pages the book has.

We will begin by finding the remaining fraction of pages after Saumya read on Monday. We will subtract 1/3 from 1 whole since she read from the beginning of the book.

1 − 1/3 = 2/3

Now, we know that on Tuesday, Saumya began reading with 2/3 remaining in the book. We will now find the fraction of the pages Saumya read on Tuesday. We know that it's 2/5 of the remaining pages, so it's 2/5 of 2/3

=> 2/5× 2/3 = 4/15 of the total number of pages of the book on Tuesday. So now, we will find the total fraction of the number of pages of the book that Samuya has read so far. This is so we can compare this fraction with the number of pages remaining. For this, we will add

1/3 + 4/15 = (5 + 4)/15 = 9/15

then 1 - 9/15 = (15-9)/15 = 6/15

This means that there would be another 6/15

= 2/5 of the book remaining and

that the remaining 2/5 of the book = 60 pages the total number of pages = 60/2/5

= 60×5/2 = 150

Therefore, the book has a total of 150 pages.

Total number of pages she read on Monday

= 1/3 of 150 = 50 pages

Total number of pages she read on Tuesday

= 4/15 of 150 = 40 pages

Hence, the total number of pages she read on Monday and Tuesday are 50 pages and 40 pages respectively.

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Answer:

The center of a dilation is a fixed point in the plane about which all points are expanded.

The y-intercept of a line in the xy-plane is (0,1) as shown in attached graph given int the question.

To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis. This means that the y-intercept is the value of y when x is equal to zero. Therefore, we can read off the y-intercept directly from the equation of the line. To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis.

In the given graph we can see that the line intersects the point 1 on y axis.

Therefore, y-intercept of a line in the xy-plane is (0,1).

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Answer:

x = 40

MN = 140

NO = 70

Step-by-step explanation:

MN + NO = MO

4x-20 + 2x -10 = 210

6x-30 = 210

6x = 240

x = 240/6

x = 40

4x-20

4 * 40 -20 =

160-20 =

140

MN = 140

2x-10 =

2 * 40 -10=

80 - 10=

70

NO = 70

Hope this helps you!!! :)

Can you please mark this answer as brainiest?

It would help me a lot!

Thank you!

Steel shop's plasma machine system can be modeled as a continuous-time Markov chain. The states of Markov chain represent the different configurations of machines, repairmen, and number of working machines.

The state transition diagram illustrates the transitions between these states and includes the corresponding transition rates. In this system, there are three main states: (1) all three machines working, (2) one machine down and two working, and (3) two or more machines down. The transition rates depend on the average breakdown rate of the machines and the repair rate of the repairmen. By analyzing the steady-state probabilities and the average number of working machines, we can gain insights into the system's performance and efficiency.

To compute the steady-state probabilities, we can set up a set of equations based on the transition rates and solve for the probabilities of each state. These probabilities represent the long-term behavior of the system, indicating the likelihood of the system being in a particular state at any given time. The steady-state probabilities provide valuable information about the system's reliability and downtime.

Additionally, by determining the average number of working machines, we can assess the overall productivity of the system. This metric takes into account the probabilities of the different states and provides an estimate of the average number of machines that are operational at any given time. By understanding the system's steady-state probabilities and average number of working machines, the steel shop can make informed decisions to optimize maintenance schedules and ensure efficient operation of their plasma machine system.

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Answer:

Step-by-step explanation:

Compare the decimals using >, <, or =

Name two equivalent fractions for each fraction listed below.

If there are 16 cups in one gallon, how many cups are in 3 gallons?

16 cups = 1 gal.

? cups = 3 gals.

3 * 16 = 48 cups

How many cups are in 5 gallons?

5 * 16 = 80 cups

Compare and contrast squares are rectangles

Squares: have four sides and four equal sides

Rectangles: have four sides and have 2 parallel sides, meaning that they have 2 opposite sides that are equal.

Hope this helps!

The simplification of the expression ½(18t) + 2t(9) -12 is 27t-12

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible.

For example, 3a²+9a+12 can be simplified by bring out the common factors between the terms

= 3(a²+3a+4).

Similarly, 1/2(18t) + 2t(9) -12 can be simplified as;

9t + 18t -12

= 27t -12

therefore the simplification of ½(18t) + 2t(9) -12 is 27t-12

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Answer: Earth

Step-by-step explanation:

Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons

Mercury 0.39 AU, 36 million miles 57.9 million km 0

Venus 0.723 AU 67.2 million miles 108.2 million km 0

Earth 1 AU 93 million miles 149.6 million km 1

Mars 1.524 AU 141.6 million miles 227.9 million km 2

Answer:

48 yards

Step-by-step explanation:

Use the Pythagorean theorem:

\( {a}^{2} = {52}^{2} - {20}^{2} = 2704 - 400 = 2304\)

\(a > 0\)

\(a = \sqrt{2304} = 48 \: yd\)

Answer:

smallest -3,-2,2,9 biggest

Answer:

-3, -2, 2, 9

Step-by-step explanation:

-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9

The correct solution of the linear differential equation dy/dx = xy^2, obtained by separating the variables, is y = -1/(c - x^2), where c is a constant.

To solve the given linear differential equation, we can separate the variables by writing it as dy/y^2 = xdx. Integrating both sides, we get ∫(1/y^2)dy = ∫xdx.

The integral of 1/y^2 with respect to y is -1/y, and the integral of x with respect to x is (1/2)x^2. Applying the antiderivatives, we have -1/y = (1/2)x^2 + c, where c is the constant of integration.

To isolate y, we can take the reciprocal of both sides, resulting in y = -1/(c - x^2), where c represents the constant of integration.

Therefore, the correct solution of the linear differential equation dy/dx = xy^2, obtained by separating the variables, is y = -1/(c - x^2), where c is a constant.

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Answer:

G 33%

Step-by-step explanation:

17/52 = 0.32692307692

0.32692307692 is about 33 %

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The end behavior f(x) → ∞ as x → -∞ means that x-value is negative and y-value is positive. If this is the case, the other end part of the function is located in the 2nd quadrant.

The end behavior f(x) → -∞ as x → ∞ means that the x-value is positive and the y-value is negative. The other end part of the function is located in the 4th quadrant.

Looking at the choices, Option 1 and 4 exhibits these characteristics.

Answer:

Step-by-step explanation:

speed of

Stephanie=10 ft/s

Brooke= 192/24=8 ft/s

Frank= (1×1760×3)/449≈11.76 ft/s

Zach=817/(1×60)≈13.62 ft/s

Zach runs fast.

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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The approximate value of y(1) using Euler's method with a step size of h = 0.1 is 1.

Using Euler's method and a step size of h = 0.1, we can use the given initial value problem (IVP) and iterate through the interval [0, 1] in steps of size h to approximate the value of y(1). Let's begin by determining the number of steps required: n = (1-0) / 0.1 = 10.

Utilizing the accompanying recipe, we can repeat through the span beginning with the underlying condition y(0) = 1.

y(i+1) is equivalent to y(i) + h * (t(i) * y(i) + t(i)2), where I is among 0 and n-1, t(i) is equivalent to I * h, and y(i) is the surmised worth of y at t(i).

At each step, we can inexact the upsides of y utilizing the recipe gave:

The approximate value of y(1) is 1, assuming Euler's method and a step size of h = 0.1. y(0) = 1 y(1)  y(0) + 0.1 * (0 * y(0) + 02) = 1 + 0.1 * (0 + 0) = 1.

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a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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The probability of receiving 3 or fewer pieces of junk mail is 0.44 or 44%.

Probability is a measure of how likely an event is to occur.

Total number of pieces of junk mail that could be received = 2 + 14 + 6 + 16 + 12 = 50

Total number of pieces of junk mail that correspond to receiving 3 or fewer pieces = 2 + 14 + 6 = 22

Now calculate the probability by dividing the number of pieces of junk mail that correspond to receiving 3 or fewer pieces by the total number of pieces of junk mail:

P(3 or fewer pieces) = 22/50 = 0.44

So the probability of receiving 3 or fewer pieces of junk mail is 0.44 or 44%.

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9514 1404 393

Answer:

  (1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

  h(1) = 4(1) +3 = 7

The coordinate pair is ...

  (x, h(x)) = (1, h(1)) = (1, 7)

If he water in Earth’s oceans has a volume of about 3.2x10⁸ cubic miles, it would take 3.52x10²⁰ gallon jugs to hold all the water in Earth's oceans.

To calculate how many gallon jugs it would take to hold all the ocean water on Earth, we need to multiply the volume of the water by the conversion factor from cubic miles to gallons.

Given that the water in Earth's oceans has a volume of about 3.2x10⁸ cubic miles and there are about 1.1x10¹² gallons in 1 cubic mile, we can calculate the total number of gallons using the following equation:

Total gallons = (Volume in cubic miles) x (Gallons per cubic mile)

Substituting the given values, we get:

Total gallons = (3.2x10⁸) x (1.1x10¹²) = 3.52x10²⁰

This number is very large and is written in scientific notation to make it more manageable. Scientific notation is a compact way of writing very large or very small numbers using a power of ten. In this case, the number is expressed as a coefficient (3.52) multiplied by 10 raised to the power of 20 (10²⁰).

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The volume of the given solid over the indicated region of integration, f(x,y) = 2x + 2y - 5 and R = {(x,y): -4 ≤ x ≤ 1, 3 ≤ y ≤ 6}, is 63 units³.

To find the volume, we will integrate the function f(x,y) over the region R. Follow these steps:

1. Set up the double integral: ∬R (2x + 2y - 5) dA

2. Set up the limits of integration: ∫(from -4 to 1) ∫(from 3 to 6) (2x + 2y - 5) dy dx
3. Integrate with respect to y: ∫(from -4 to 1) [(2xy + 2y²/2 - 5y)] (evaluated from 3 to 6) dx
4. Simplify and evaluate: ∫(from -4 to 1) [6x + 18 - 5(6-3)] dx
5. Integrate with respect to x: [3x² + 18x - 15x] (evaluated from -4 to 1)
6. Simplify and evaluate: (3 + 18 - 15) - (-12 + 72 + 60)
7. Calculate the final result: 6 - (-30) = 36

The volume of the region is 63 units³.

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Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

The derivative of the function is -2 at x=1.

Answer:

Step-by-step explanation:

Answer:

4 x 1/4

Step-by-step explanation:

The box is split into 4 representing the 1/4 and it goes to the 4 on the number line representing the.