which equation or inequality shows the relationship between the plotted points on the number line
A. -4 > 3
B. -4 > -3
C. 3 > -4
D. 3 < -4

Answer:

Θ = 5 radians

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

here arc length = 15 , then

2πr × \(\frac{0}{2\pi }\) = 15 ( r is the radius )

2π × 3 × \(\frac{0}{2\pi }\) = 15 ( cancel 2π on numerator/ denominator )

3Θ = 15 ( divide both sides by 3 )

Θ = 5 radians

Range of the data is 19 and Standard deviation is 10.12

The range of a set of data is the difference between the max and min values, and the standard deviation of the data is the square root of its variance.

The range is the difference between the lowest and highest values in a given set. The Standard Deviation is the square root of the variance.

The data set is :

141, 116, 117, 135, 126, 121

The mean of a set of numbers is the sum divided by the number of terms.

x' = (141 + 116 + 117+ 135 + 126 + 121)/6

x' = 756/6

x' = 126

Now, We have to find the standard deviation of the data set:

\(\sigma = \sqrt{\frac{(x-x')^2}{n-1} }\)

Substituting the values

\(\sigma=\) (16 √10) /5

= 10.12

Range of the data = Max value - Min value

Range of the data = 19

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Answer: 81.

Step-by-step explanation:

( (3^4) ^ 1/4) ^ 4

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer: -282475249

Step-by-step explanation:

Answer:

5.8516

Step-by-step explanation:

To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:

\(d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

Let's find the variables of this equation:

x2 = 6

x1 = 1

y2 = 4

y1 = 2

Now, we can plug these in to the equation:

\(d = \sqrt{(6-1)^2 + (4-2)^2}\)

Next, let's solve:

\(d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516\)

Therefore, the distance between points (1,2) and (6,4) is 5.8516

Hope this helps!!

- Kay :)

Answer:

The answer is 45 degrees

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

y = 3x -5

Explanation:

Since it's parallel, it will have the same slope: 3.

So you'll have y = 3x + a, and we need to find a.

Plug in the values for the point we are given:

7 = 3(4) + a

7 = 12 + a

a = -5

Answer:

y=3x-5

Step-by-step explanation:

y=3x+6

since the line is parallel, the slope will be the same (but y int is still unsolved)

so plug in x,y from (4,7) in y=mx+b or y-y1=m(x-x1)

i used y=mx+b

7=3(4)+b

7=12+b

b=(-5)

so the final answer is y=3x-5

:)

Human Development Index (HDI), Gross National Happiness (GNH), Happy Planet Index (HPI), Better Life Index (BLI), and Genuine Progress Indicator (GPI) are statistical measures that we could use to measure our "well-being" other than GDP.

These measures are important because GDP alone does not provide a complete picture of a country's well-being. GDP measures the market value of goods and services produced within a country, but it does not take into account factors such as income distribution, environmental quality, and social well-being.

By using these additional measures, we can gain a more comprehensive understanding of a country's progress and its impact on people and the planet.

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When comparing means of three or more conditions, an analysis of variance (ANOVA) should be used instead of multiple t-tests. This is because using multiple t-tests increases the risk of a type I error, where a significant difference is found when there is none. ANOVA controls for this by using a single test to determine if there is a significant difference between the means. Additionally, using multiple t-tests increases the risk of a type II error, where a significant difference is not found when there is one.

ANOVA is also more likely to detect statistical significance between the means because it takes into account the variability within each condition as well as the variability between conditions. This increases the power of the test and reduces the chances of missing a significant difference between the means.

When using ANOVA, the results can indicate that there are no differences between any of the population means (option a), that at least one of the three population means is different from another population mean (option b), that all three of the population means are different from each other (option c), or that one population mean is different from one of the other population means, but not the other population mean (option d).

Finally, ANOVA provides a measure of effect size, typically reported as r2, which indicates the proportion of variability in the data that can be attributed to the differences between the conditions. This can be useful in determining the practical significance of the results.

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Answer:

Step-by-step explanation:

I am planning to take an upper division mathematics class starting this Fall 2021 at a four-year college/university right now. In my spare time, I like to come here at https://brainly.com and help out others who struggle with mathematics.

Answer:

Math is essential in day in day out activities.

Step-by-step explanation:

Mathematics covers extensive areas within your comfort zone or the outside world. Just to mention a few making your budgets, running a restaurant, kiosk, calculating time you take rest etc. Mathematics is also done or essential in careers or subjects or units you are undertaking. It has helped me a lot for sure.

Answer:

30 gallons

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

49÷7=7

7×2=14

have a good day!

Answer:

1944

Step-by-step explanation:

I'm probably wrong but that is my answer

The value of expression n + p - 2q when n = p = q is 0

In this question, we have been given an expression n+p-2q

We need to find the value of given expression when n=p=q

Consider given expression,

n + p - 2q

Substitute n = p

= p + p - 2q

= 2p - 2q

Now we substitute p = q in above expression,

= 2q - 2q

= 0

Therefore, the value of expression n + p - 2q when n = p = q is 0

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The angle between vectors a and b is 71.79° for using the Dot Product property of vectors.

The given two vectors are a = ⟨2,2,−1⟩ and b = ⟨5,−3,2⟩. We need to find the angle between vectors a and b.

Using the Dot Product property of vectors we can find the angle between vectors. The formula for the dot product of vectors is given as follows.

a . b = |a| |b| cos(θ)

where |a| and |b| are the magnitudes of vectors a and b respectively and θ is the angle between vectors a and b.

Rearranging the above equation gives,

cos(θ) = (a . b) / (|a| |b|)

Taking the dot product of vectors a and b, we get,

a . b = (2 × 5) + (2 × −3) + (−1 × 2)

= 10 − 6 − 2

= 2

Now, we need to calculate the magnitudes of vectors a and b.

The magnitude of a is,

|a| = √(2² + 2² + (-1)²)

= √9

= 3

The magnitude of b is,

|b| = √(5² + (-3)² + 2²)

= √38

cos(θ) = (a . b) / (|a| |b|)

cos(θ) = 2 / (3 × √38)

cos(θ) = 0.3271

θ = cos⁻¹(0.3271)

θ = 71.79°

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In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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Based on the information in the circle graph,  Brandi's total monthly allowance is equal to $50.

A circle graph is used to represent information in a circle. The circle is divided into different section to represent the magnitude of each grouping.

Total allowance = amount allocated to clothes / percentage of circle graph that is allocated to clothes

$20 / 0.40  = $50

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Internal Diameter = 40 m

Height of wall = 14 m

Width of embankment = 20 m

Height

Radius = D/2

Radius = 40/2 = 20 m

Now,

Finding soil taken

Volume of soil taken out =Volume of cylinder

= πr²h

22/7 × 20 × 20 × 14

22 × 400 × 2

44 × 400

17600 m³

Now,

R = 20 + 20 = 40 m

r = 20 m

πR²h - πr²h = 17600

π( R² - r² )h = 17600

22(R² - r²)h = 17600 × 7

(R² - r²)h = 5600

{(40)² - (20)²} = 5600

(1600 - 400)h = 5600

(1200h)= 5600

h = 5600/1200

h = 4.66m

\(\huge{↬{ }}\)Height of embankment is 4.66 m

The standard error of the average sample weight when 15 participants are randomly selected for the sample is 9.05 (rounded to two decimal places).

The standard error of the average sample weight when 15 participants are randomly selected for the sample can be calculated using the formula given below:SE = σ/√nWhere,σ = standard deviation of the populationn = sample sizeSE = standard error of the meansubstituting the given values,SE = 35/√15 = 9.05

Note:When using the given formula, it is important to note that it assumes a normal distribution of sample means. The standard error is used to estimate the true value of the mean from the sample data. The larger the sample size, the smaller the standard error. The smaller the standard error, the more precise the estimate of the true value of the mean.

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Answer:

40

To find the area you multiply base times height

Step-by-step explanation:

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

Answer:

4.375cm

Step-by-step explanation:

You have to look at what volume equals Volume= l×w×h so 3/2 × 5/4 × 7/3

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

Step-by-step explanation: 56776