Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?

a. When the population standard deviation is much less than 5

b. When the population mean is much less than 5

c. When the population mean is much greater than 5

d. When the population standard deviation is much greater than 5

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:It is 6543.

Step-by-step explanation:

The characteristics of the vector representing the path of the ship are: components: Left Angle Bracket 28, 46 , ight Angle Bracket, magnitude: 53.85

The ship started at port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components

LeftAngleBracket 14, 23 RightAngleBracket.

After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station.

Therefore, the position vector of port B with respect to A is equal to the position vector of the refueling station multiplied by 2.

Now, the position vector of port B, rB = 2 *LeftAngleBracket

14, 23 RightAngleBracket = LeftAngleBracket 28, 46 RightAngleBracket

To find the magnitude of the position vector, use the distance formula as shown below:

|rB| = √(28² + 46²)≈ 53.85

Therefore, the characteristics of the vector representing the path of the ship are: components: LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85

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Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

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Answer:

613

Step-by-step explanation:

42,295*0.045=1,903

42295+1903=44198

6*12=72

44198/72=613

Answer:

donor task is a tax on a donation or gift

Step-by-step explanation:

Like giving something to someone

Answer:

Tax is money that the goverment collects from people whether you buy food or purchase home supplies.

Step-by-step explanation:

Its also a finacial charge in order to fund the goverment but it depends on how much you make

-Hope This Helps!

-Justin:)

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Janet can customize a car in 630 different ways.

To determine the number of ways Janet can customize a car, we need to multiply the number of options for each customization choice.

Number of car models: 10

Number of exterior colors: 7

Number of interior colors: 9

To calculate the total number of ways, we multiply these numbers together:

Total number of ways = Number of car models × Number of exterior colors × Number of interior colors

= 10 × 7 × 9

= 630

Therefore, the explanation shows that Janet has a total of 630 options or ways to customize her car, considering the available choices for car models, exterior colors, and interior colors.

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The five axioms are:

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

Answer:

AXIOMS AND POSTULATES OF EUCLID

Step-by-step explanation:

AXIOMS

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

POSTULATES

To draw a straight line from any point to any point.

To produce a finite straight line continuously in a straight line.

To describe a circle with any center and distance.

That all right angles are equal to one another.

That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*

The test statistic is z = -1.60

To test the claim that the percentage of readers who own a personal computer is different from the reported percentage, we can use a hypothesis test. Let's define our null hypothesis (H0) and alternative hypothesis (H1) as follows:

H0: The percentage of readers who own a personal computer is equal to 34%.

H1: The percentage of readers who own a personal computer is different from 34%.

We can use the z-test statistic to evaluate this hypothesis. The formula for the z-test statistic is:

\(z = (p - P) / \sqrt_((P * (1 - P)) / n)_\)

Where:

p is the sample proportion (30% or 0.30)

P is the hypothesized population proportion (34% or 0.34)

n is the sample size (360)

Let's plug in the values and calculate the test statistic:

\(z = (0.30 - 0.34) / \sqrt_((0.34 * (1 - 0.34)) / 360)_\\\)

\(z = (-0.04) / \sqrt_((0.34 * 0.66) / 360)_\\\)

\(z = -0.04 / \sqrt_(0.2244 / 360)_\\\)

\(z= -0.04 / \sqrt_(0.0006233)_\)

\(z = -0.04 / 0.02497\\z = -1.60\)

Rounding the test statistic to two decimal places, the value is approximately -1.60.

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The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location

Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.

Part A

In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.

The coordinates of the vertices of JKLM relative to J are;

J(0, 0), K(6, 0), L(6, -6), M(0, -6)

Distance of K from J = 6 - 0 = 6 units to the right of K

Therefore, using a scale factor of 1;

The distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.

The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM

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To find the break-even point, we need to find the point where the cost function and revenue function intersect, since at that point the profit will be zero.

So, we set the cost function equal to the revenue function:

180x + 8400 = 210x

Simplifying:

30x = 8400

x = 280

Therefore, the break-even point is at x = 280. To find the coordinates, we need to plug this value into either the cost or revenue function:

c(280) = 180(280) + 8400 = 50400

r(280) = 210(280) = 58800

So the break-even point is (280, 50400).
To find the coordinates of the break-even point, we need to determine the value of x when the cost of production (c(x)) is equal to the revenue (r(x)). In other words, we need to solve the equation c(x) = r(x).

Step 1: Set c(x) equal to r(x)
180x + 8400 = 210x

Step 2: Rearrange the equation to solve for x
210x - 180x = 8400
30x = 8400

Step 3: Divide both sides by 30 to find x
x = 8400 / 30
x = 280

Step 4: Find the break-even revenue by plugging x into either the cost or revenue function (we'll use r(x))
r(280) = 210 * 280 = 58800

So, the coordinates of the break-even point are (280, 58800), where 280 represents the number of cell phones produced and 58800 is the revenue generated.

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We will simplify the complex expression shown below:

The simplification process is shown below >>>>

If we multiply out the denominator, we have:

The numerator is

The denominator is

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

As shown in the attachment,

Step-by-step explanation:

Answer:

\(-\frac{17}{40\\}\)

Step-by-step explanation:

Answer:-17/40

Step-by-step explanation:

You are adding positive 3/8 to negative 4/5. The first step is the find a common denominator, so you would end up with -32/40+15/40. To solve, you could do 32-15=17. You would have negative 17/40. It cannot be simplified.

When making a joint probability table, the type of probabilities is contained in the cells except those cells on the margin of the table joint probabilities, while those on the margins are marginal probabilities.

A joint probability refers to the probability that two independent events will both occur. two or more random variables. It is a statistical measure that calculates the probability of two events occurring together and at the same point in time i.e., joint probability is the probability of event Y occurring at the same time that event X occurs. A joint probability table represents a joint probability distribution for two or more random variables illustrating the relationship between variables (it uses variables or conditions instead of events). In the joint probability table, the type of probabilities that are contained in the cells are joint probabilities, while those on the margins are marginal probabilities (probabilities of values of the variables in the subset without reference to the values of the other variables.).

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

F (- 4, - 6 ) → F' (4, - 6 )

G (- 4, - 3 ) → G' (4, - 3 )

H (- 3, - 4 ) → H' (3, - 4 )

a) there is one pieces of wire each for each length.

b)

i. Wire 1 is  more than 1 1/2  inches and just less than 2 inches long.

ii. Wire 2 is just more than 2 1/2  inches long.

iii.  Wire 3 is more than 2 inches and just less than 2 1/2 inches long.

iv. Wire 4 is more than 1 inches and just less than 1 1/2 inches long.

The above prompt seeks to explain measurement and sorting using actual observable measure.

In this case, several wire are placed horizontally over a calibrated measure such as a rule calibrated in Inches.

Thus, from the observed, we can stated that:

i. Wire 1 is  more than 1 1/2  inches and just less than 2 inches long.

ii. Wire 2 is just more than 2 1/2  inches long.

iii.  Wire 3 is more than 2 inches and just less than 2 1/2 inches long.

iv. Wire 4 is more than 1 inches and just less than 1 1/2 inches long.

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Full Question:

Although part of your question is missing, you might be referring to this full question:


Measure the lengths of the wires to the nearest half inch.
A scale measuring 3 inches is placed horizontally to measure the length of 4 wires.

The first wire is more than 2 inches and just less than 2 and one-half inches long.

The second wire is just more than 2 and one-half inches long. The third wire is just more than 1 and one-half inches long. The fourth wire is more than 1 and one-half inches and just less than 2 inches long.

a) How many pieces of wire are there for each length?

b) Drag the number of pieces of wire there are for each length to the boxes. Numbers may be used once, more than once, or not at all.

See attached image.

We can say that approximately 95% of the total snowfall per year in Laytonville falls between 71 inches (99 - 2*14) and 127 inches (99 + 2*14).

According to the empirical rule, for a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.

Using this rule, we can calculate that the upper limit of 1 standard deviation above the mean is:

99 + 14 = 113 inches

And the upper limit of 2 standard deviations above the mean is:

99 + (2*14) = 127 inches



To answer the specific question, the probability that in a randomly selected year, the snowfall was less than 127 inches is approximately 95%. This can be interpreted as saying that in 95 out of 100 years, the total snowfall in Laytonville is less than 127 inches. As a percentage, this is rounded to 95.00%.

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Answer:

Step-by-step explanation:

All of the answer choices are wrong lol. The answer choice is supposed to be (173+124) divided by 3. Total students divided by student per seat. Your closest answer choice is going to be (175+125) divided by 3. Hope this helped!

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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By using a trigonometric relation, we will see that the value of x is 60.57°

On the image, we can see a right triangle where x represents one of the angles.

We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Then we can write:

tan(x) = 3.9/2.2

Using the inverse tangent function in both sides, we will get:

Atan( tan(x)) = Atan(3.9/2.2)

x = Atan(3.9/2.2) = 60.57°

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Answer:

y = - 3x - 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x + 1 ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{3} }\) = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 6, - 4) into the partial equation

- 4 = 18 + c ⇒ c = - 4 - 18 = - 22

y = - 3x - 22 ← equation of perpendicular line

Answer:

180 degrees or D

Step-by-step explanation:

It adds up to 180 degrees This is how I remember that: A square is 360 degrees and cut in half is 180

Hope this helps :D

Thanks if you mark brainliest

The sum of all the angles of a triangle is 180 degrees.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is the sum of the measures of the interior angles of a triangle

As discussed above, the sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

Therefore, the sum of all the angles of a triangle is 180 degrees.

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