Which number is the greatest ?

A. 5/16
B. 1/3
C. 0.35
D. 30%

The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings. This group of individuals is referred to as a sample.

What Exactly Is a Sample?

An easier-to-manage portion of a bigger group is referred to as a sample. It is a subset of individuals that shares traits with a wider population.

                                 In statistical testing, samples are utilized when population sizes are too vast for all potential participants or observations to be included in the test.

What does a research sample mean?

Sampling is the process of choosing a portion of the target population for a research project.

                                 In the vast majority of research projects, it is impossible to recruit the involvement of the entire population of interest, hence data gathering depends on a smaller group.

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The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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The mean of the data will be 15. Then the standard deviation of the data will be 6.43.

It is the measure of the dispersion of statistical data. Scattering is the breadth to which the significance is in divergence.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

The data is given below.

3, 9, 12, 14, 15, 16, 16, 16, 20, 29

The mean is given as,

Mean = (14 + 15 + 16 + ....... + 29 + 12) / 10

Mean = 150 / 10

Mean = 15

Then the standard deviation is given as,

σ² = [(14 - 15)² + (15 - 15)² + (16 - 15)² + ...... + (12 - 15)²] / 10

σ² = 414 / 10

σ² = 41.4

σ = 6.43

Thus, the standard deviation of the data will be 6.43.

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Answer:

3.75

Step-by-step explanation:

-0.8(q-0.5)=-2.6

-0.8q+0.4=-2.6

-0.8q=-2.6-0.4

-0.8q=-3

0.8q=3

q=3/0.8

q=3.75

Answer:

f(2) = 1/8

Step-by-step explanation:

f(2) = (3 - (2))/((2)2 + 4)

f(2) = 1/8

y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

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Answer:  The graph is shown below. It is nonlinear

==========================================================

Explanation:

I used GeoGebra to make the graph. Desmos is another option I recommend.

The equation we graph is y = (1/2)^x since we're splitting the paper in half each time. This is an exponential decay function. Note how the curve slopes downhill when moving to the right.

It appears the curve touches or crosses the x axis; which is misleading. Instead, the curve is getting closer and closer to this horizontal asymptote. It will never reach the x axis. Think of it like an electric fence.

As the graph indicates, we don't have a straight line. Therefore, the function isn't linear. It's a nonlinear curve.

a. The 99% confidence interval for the average body temperature of healthy people is (98.024, 98.476) degrees.  b )   we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees.

a) To calculate the 99% confidence interval for the average body temperature of healthy people, we can use the formula:

Confidence interval = mean ± (critical value) * (standard deviation / √n)

Where:

Mean is the sample mean (98.25 degrees)

Standard deviation is the sample standard deviation (0.73 degrees)

n is the sample size (130)

The critical value for a 99% confidence level is 2.61 (obtained from the t-distribution table for a large sample size)

Plugging in the values, we get:

Confidence interval = 98.25 ± (2.61 * (0.73 / √130))

Confidence interval = 98.25 ± 0.226

Confidence interval = (98.024, 98.476)

b) The confidence interval obtained in part (a) does not contain the value 98.6 degrees. Since the accepted average temperature cited by physicians and others is not within the confidence interval, we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees. The sample data suggests that the average body temperature is lower than the commonly accepted value.

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10 candies treats is Kayla still keeping for herself when Kayla had twenty candies. Kayla gave her sister one-fifth of the candies.

Given that,

Kayla had twenty candies. Kayla gave her sister one-fifth of the sweets. She gave her pal 3/8 of the remaining funds.

We have to find how many treats is Kayla still keeping for herself.

We know that,

20 candies are in Kayla's candy collection.

The amount Kayla gave her sister was equal to 1/5 of 20.

= 1/5 ×20

= 4 candies

The number of sweets Kayla has left over after sharing them with her sister = 20-4 = 16 candies

From the leftover candies, the friend received 3/8 of 16 candies.

= 3/8 × 16

= 6 candies

Kayla has 16 candies left after subtracting 6 for herself.

= 10 candies.

Therefore, 10 candies treats is Kayla still keeping for herself when Kayla had twenty sweets. Kayla gave her sister one-fifth of the sweets.

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given

Find

Product

Explanation

here , we use law of exponents

so ,

Final Answer

Product =

Step-by-step explanation:

.600  is   600 thousandths =    600/1000    (this can be reduced to 3/5)

Answer: so it will be 6 6/10

Step-by-step explanation:600l100 = 6 6/10

The degrees of freedom (df) for the within-groups scenario is 27.

In the F-test, which is used to compare variances between groups, the degrees of freedom consist of two components: the numerator df and the denominator df. The numerator df corresponds to the number of groups being compared, while the denominator df represents the total number of observations minus the number of groups.

In the given scenario, F(2,27) = 8.80 indicates that the F-test is comparing variances between two groups. The numerator df is 2, representing the number of groups being compared.

To determine the within-groups df, we need to calculate the denominator df. The denominator df is calculated as the total number of observations minus the number of groups. Since the denominator df is given as 27, it implies that the total number of observations is 27 + 2 = 29, considering the two groups being compared.

Therefore, the within-groups df is 27, as it represents the total number of observations minus the number of groups in the F-test.

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Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.

Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.

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Pr(y=1|x=1) is a conditional probability which means the probability of y being equal to 1 given that x is equal to 1.

Probability is the branch of mathematics that deals with the probability of an occurrence of an event or a phenomenon. It is a statistical method used to predict the likelihood of an event occurring.

Conditional probability refers to the probability of a certain event occurring given that another event has already occurred.

If A and B are two events then the conditional probability of A given B is denoted as P(A/B) which is calculated as

P(A/B) = P(A and B)/P(B) where P(B) ≠ 0Pr(y=1|x=1)

The formula represents the probability of y being equal to 1 given that x is equal to 1.

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Answer:

y = 0

Step-by-step explanation:

Let's use the addition method.

2x + y - 10 = 0

x - y - 5 = 0

Write the first equation as is. Write below it the second equation multiplied by -2 on both sides. Then add the equations.

         2x + y - 10 = 0

(+)     -2x + 2y + 10 = 0

--------------------------------

                 3y        = 0

Divide both sides by 3.

y = 0

Answer: y = 0

The graph that represents the derivative of function f in the table is given as follows:

Graph 3.

To obtain the graph of the derivative of the function, we need to look at the function's behavior, as the derivative represents the rate of change of the function over an interval.

From the table, we have that the function is increasing over it's entire domain, hence the derivative is always positive.

The increase is initially slow, then it gets faster around x = 4, and then it gets slower again, meaning that the format of the graph of the derivative is that of a concave down parabola.

The highest derivative achieved is between 3.6 and 4.2, which is of:

(4.45 - 3.1)/0.6 = 2.25.

Meaning that Graph 3 is correct.

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Answer:

12.5

Step-by-step explanation:

in liquid gallons

Answer:

12.5 us liquid gallons

Step-by-step explanation:

Hope rhis awnsers your question have a great day!

Part A

For this part, I'm assuming your teacher implies that we ignore the door, windows and rectangular opening. It seems like parts B and C cover this aspect.

There are 2 walls that are 20 feet by 10 feet. Each is 20*10 = 200 sq ft, so both opposite walls are 2*200 = 400 sq ft.

Then there are 2 more walls that are 15 ft by 10 ft. Each has area 15*10 = 150 sq ft, and doubles to 2*150 = 300 sq ft.

The total wall area (ignoring any openings/doors/windows/etc) is 400+300 = 700 sq ft.

Another way to get this answer is to find the perimeter of the floor rectangle to get 2(L+W) = 2(20+15) = 2(35) = 70. Then multiply this with the height of the room to get 70*10 = 700

Note: This ignores the windows/doors/any other opening

====================================================

Part B

Useful info to focus on:

There's no mention of a door (either front door or interior door to another room). Instead, your teacher talks about a rectangular opening which I'm assuming is the walkway to perhaps the kitchen and/or hallway or something. Though this rectangular opening might be part of or entirely the front door. It's not clear what your teacher means here. I'll just forget about the door part.

Fact1 and fact2 tell us we have 3+2 = 5 windows of 3 ft by 8 ft. Each window has area 3*8 = 24 sq ft. Five of them give 5*24 = 120 sq ft

Fact 3 says we have a rectangular opening of area 7*8 = 56 sq ft.

The total area of all items mentioned is 120+56 = 176 sq ft

====================================================

Part C

We subtract the results of the previous parts A and B

wall area to paint = A - B = 700 - 176 = 524 sq ft

We're told that "The cans of paint Kamrie will purchase cover 415 square feet." So we'll divide the total area over the area per can.

524/415 = 1.26265 which is approximate

Round up to the nearest whole number. We don't round down to 1 can because we'll come up short. Instead we round to 2 paint cans. Having extra leftover paint is handy in case Kamrie made a mistake somewhere.

For this entire problem, I'm ignoring the ceiling and focusing on the walls only.

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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Based on the given stochastic matrix, in the long run, it is 14.29% likely for the weather in Columbus to be bad on a given day.

In order to find the long run probability of the weather in Columbus being bad on a given day, we need to find the steady state vector of the stochastic matrix. The steady state vector is the vector that satisfies the equation Ax = x, where A is the stochastic matrix and x is the steady state vector.

The stochastic matrix for this situation is:
| 0.5  0.7  0.2 |
| 0.3  0.2  0.2 |
| 0.2  0.1  0.6 |

To find the steady state vector, we need to solve the equation:

| 0.5  0.7  0.2 | | x1 | = | x1 |

| 0.3  0.2  0.2 | | x2 |   | x2 |

| 0.2  0.1  0.6 | | x3 |   | x3 |

This gives us the system of equations:

0.5x1 + 0.7x2 + 0.2x3 = x1

0.3x1 + 0.2x2 + 0.2x3 = x2

0.2x1 + 0.1x2 + 0.6x3 = x3

We can rearrange these equations to get:

0.5x1 - 0.7x2 - 0.2x3 = 0

-0.3x1 + 0.8x2 - 0.2x3 = 0

-0.2x1 - 0.1x2 + 0.4x3 = 0

We can then solve this system of equations using any method we like (such as Gaussian elimination or matrix inversion) to get the steady state vector:

x1 = 0.4286
x2 = 0.4286
x3 = 0.1429

This means that in the long run, the probability of the weather in Columbus being good on a given day is 0.4286, the probability of it being indifferent is 0.4286, and the probability of it being bad is 0.1429. So the answer to the question is that in the long run, it is 14.29% likely for the weather in Columbus to be bad on a given day.

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Answer:

10 meters

Step-by-step explanation:

highest value on y-axis

Step-by-step explanation:

Using distance formula    d^2 = (x1-x2)^2 + (y1-y2)^2

d^2 = (5- -3)^2  + ( 4 - -1)^2

d^2 = 8^2 + 5^2

d^2 = 89

d = sqrt 89    =   9.43 units

Given:

The function is

\(g(x)=(\dfrac{1}{5})^x\)

To find:

The correct ordered pairs.

Solution:

We have,

\(g(x)=(\dfrac{1}{5})^x\)

For x=3,

\(g(3)=(\dfrac{1}{5})^3\)

\(g(3)=\dfrac{1}{125}\)

So, the ordered pair is \((3,\dfrac{1}{125})\).

For x=-2,

\(g(-2)=(\dfrac{1}{5})^{-2}\)

\(g(-2)=(5)^2\)             \([\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n]\)

\(g(-2)=25\)

So, the ordered pair is \((-2,25)\).

For x=1,

\(g(1)=(\dfrac{1}{5})^1\)

\(g(1)=\dfrac{1}{5}\)

So, the ordered pair is \((1,\dfrac{1}{5})\).

For x=-1,

\(g(-1)=(\dfrac{1}{5})^{-1}\)

\(g(-1)=(5)^1\)             \([\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n]\)

\(g(-1)=5\)

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

Answer:0=0

Step-by-step explanation:

Answer to the expression : -9n - 54

The answer is D. 95th percentile is not needed for constructing a box-plot.

A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset. It consists of several key measures, including the following:

A. First quartile (Q1): This is the 25th percentile, which marks the lower boundary of the box.

B. 50th percentile: This is the median, which is the middle value of the dataset when it is ordered from smallest to largest. It is represented by a line within the box.

C. 75th percentile (Q3): This is the upper quartile, marking the upper boundary of the box.

D. 95th percentile: This measure is not typically used in constructing a box plot. It provides information about the value below which 95% of the data falls, but it is not necessary for constructing the basic elements of a box plot.

Therefore, the correct answer is D. 95th percentile.

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The volume of the cone is the amount of space in it

The volume of the cone is 264.3 cubic inches

The given parameters are:

The volume of a cone is then calculated as:

V = 1/3π(d/2)²h

This gives:

V = 1/3 * 3/14 * (10.1/2)² * 9.9

Evaluate the product

V = 264.256905

Approximate

V = 264.3

Hence, the volume of the cone is 264.3 cubic inches

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