Find the mean and standard deviation for each data set.

23.5,22.4,25.6,26.8,28.1,22.3,24.5

Answer:

LM = 45

Step-by-step explanation:

M is the midpoint of LN. If LN = 90, what is LM?

L––––––N

From the question

M is the midpoint of LN.

Hence:

L––M––N

Since M is the Midpoint of LN, it means LN is divided in 2 equal parts

LM , MN

So, LM + MN = LN = 90

If LN = 90, LM = 90/2

LM = 45

For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].

The range of values that can be plugged into a function is known as its domain. In a function like f, this range corresponds to the x values (x).

The collection of values that the function assumes is known as its range. Following the insertion of an x value, the function outputs this set of values. The values of y are those.

An assembly line's machines can be compared to functions in this way. The machine in the middle performs the function. On one end of the assembly line are a few screws and bolts, and on the other end is a car.

Given that

F(x)=1/2sin(2x-4)+3

For the given function graph is sinewave (see attachment)

For which

Range: [2.5, 3.5]

Domain: (-∞, ∞)

Thus, For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].

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Answer:

Yes

What is horizontal distance ?

The distance between two points is understood to mean the horizontal distance, regardless of the relative elevation of the two points.

How to calculate horizontal distance?

Horizontal distance can be expressed as x = Vtx = Vtx=Vt. Vertical distance from the ground is described by the formula y = – 1 2 g t 2 y = – \frac{1}{2}g t^2 y=–21gt2, where g is the gravity acceleration, and h is an elevation.

Step by step explanation:

As long as the ramp is no more than .9965 feet high, then yes

If the ramp is .9965 feet high then its horizontal distance is 12 X .9965 feet or 11.958 feet

Using Pythagoras’ Theorem, the actual length of the ramp would be the square root of (11.958 X 11.958 + .9965 X .9965)

Or the square root of (142.9934 + .9930)

Or SQRT (143.987)

= 11.999 feet

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Answer:

3.6 miles

Step-by-step explanation:

Set up an equation. Start with the total goal of 21.4 on one side, then think about what goes on the other. He's already ridden 7 miles, and this is going to be the same as the 21.4, so start with a 7. Then, in addition to those 7, he'll need to ride some amount on average for 4 more days, so that would be + 4x. This equation its 21.4 = 7 + 4x, and now just solve for x.

21.4 = 7 + 4x

14.4 = 4x

3.6 = x

Don't forget your units! (: Also, let me know if any part of this needs a more in-depth explanation.

Answer:

Step-by-step explanation:

option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

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Answer:

Happened in 1986

Maybe 37 years ago?

The idea about what the company believes to be right, specifically regarding minimizing air emissions and its influence on supplier contracts, is an example of a value or ethical stance.

Values represent the guiding principles and beliefs that shape an individual's or organization's behavior and decision-making processes. In this case, the company's belief in minimizing air emissions aligns with its values and serves as a criterion for selecting suppliers. It reflects the company's commitment to environmental responsibility and sustainability.

Values play a significant role in shaping corporate culture, defining priorities, and establishing ethical standards within an organization. They serve as a compass for decision-making, guiding actions that align with the organization's core principles and objectives.

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Answer:

64/8

Step-by-step explanation: If a = 32 and b = 8, then the fraction turns into 2(32)/8.

2*32 is 64.

So, it turns into 64/8

You could also simplify it to 8/1, which is 8.

Based on the fact that Kayden is the youngest and their ages are consecutive and add up to 90, the Kayden is 21.

To find Kayden's age, assume that it is x and use the formula:

90 = x + (x + 1) + (x +2) + (x +3)

Solving for x gives:

90 = 4x + 6

4x = 90 - 6

x = 84 / 4

x = 21

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Answer:

The rectangles are similar.

Step-by-step explanation:

They are similar because the rectangle on the bottom is two times bigger than the rectangle on the top.

The correct points are (1, 2) and (0,1).

To find the points that lie in the inverse of the graph of a function g(x), we need to swap the x and y values of the original graph.

Let's start by representing the original graph of g(x):

x | g(x)

-1 | 0.5

0 | 1

1 | 2

2 | 4

3 | 8

Now, we swap the x and y values:

y | x

0.5 | -1

1 | 0

2 | 1

4 | 2

8 | 3

These are the corresponding points for the inverse function.

So, the points that lie in the inverse of the graph of g(x) are:

(-1, 0.5), (0, 1), (1, 2), (2, 4), (3, 8).

Hence the correct points are (1, 2) and (0,1).

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The answer of above expression is

5/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given,

c=1 / 4 and d=2/4

put the value of c and d in above expression 3(1/4 + c) +2d

3(1/4 + 1/4 ) +2(2/4)

3(2/4) + 1

3(1/2) + 1

(3+2)/2

5/25

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Answer: 37

Step-by-step explanation:

f(-7)= -(-7)^2 - 10(-7)+16=

f(-7)= -49 + 70 + 16=

37

Answer:

1/805

Step-by-step explanation:

4/3220 = 1/805 = 0.00124223....

The equation 21 = 7 + x can be solved using the model y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The solution is x = 5.67.

To find a solution of the equation 21 = 7 + x using the model from problem 4a, we can use the fact that the equation is of the form y = mx + b, where y is the dependent variable (in this case, 21), x is the independent variable (the variable we are solving for), m is the slope, and b is the y-intercept.

From problem 4a, we know that the slope is 3 (since for every 1 unit increase in x, y increases by 3) and the y-intercept is 4 (since the line intersects the y-axis at y = 4).

So we can rewrite the equation 21 = 7 + x as y = mx + b, with y = 21, m = 3, and b = 4, and solve for x.

21 = 3x + 4

17 = 3x

x = 5.67

Therefore, the solution to the equation 21 = 7 + x is x = 5.67.

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Based on the area of the triangular prism, and the height, the volume of the triangular prism can be found to be 80 cm³

This can be found as:

= Area of triangular base x Height of triangular prism

Solving gives:

= (1/2 x 4  x 5 ) x 8

= 10 x 8

= 80 cm³

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Answer:

about seven cubes

Step-by-step explanation:

u have to draw a line to seperate the cube so u can count them it will be easier that way

The amount of a) interest is $114.82 , b) final payment is $3,714.82  and c) savings by paying the loan off early is $173.18.

a. Interest

Interest = [ ($313.20 × 6) + $1,835.62] -  $3,600

Interest = ( $1,879.2 +  $1,835.62) -  $3,600

Interest = $3,714.82 -$3,600

Interest = $114.82

b. Final payment

Final payment = [ ($313.20 × 6) + $1,835.62]

Final payment = ( $1,879.2 +  $1,835.62)

Final payment =  $3,714.82

c. Saving:

Savings = [ ( 8% × $3,600) + $3,600] - $3,714.82

Savings = ($288 + $3,600) - $3,714.82

Savings = $3,888 - $3,714.82

Savings = $173.18

Therefore the interest is the amount of $114.8.

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To evaluate the iterated integral ∭W fdV, where f(x, y, z) = xz + y^2 + z^2 and W is the bottom half of a sphere with radius 6, we can use spherical coordinates. The integral can be expressed as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, and the limits of integration need to be determined based on the geometry of the region.

In spherical coordinates, the integral ∭W fdV can be written as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, where ρ represents the radial distance, ϕ represents the polar angle, and θ represents the azimuthal angle.

Since W is the bottom half of a sphere with radius 6, the limits of integration need to be determined accordingly. The radius, ρ, varies from 0 to 6, as it represents the distance from the origin to the surface of the sphere. The polar angle, ϕ, ranges from 0 to π/2, as we are considering the bottom half of the sphere. The azimuthal angle, θ, can span the full range of 0 to 2π.

To evaluate the integral, we substitute the function f(ρ, ϕ, θ) = ρz + y^2 + z^2 into the integral expression and calculate the iterated integral ∫AB ∫CD ∫EF ρ^2 sin(ϕ) (ρz + y^2 + z^2) dρ dϕ dθ using the determined limits of integration. The resulting value will be the evaluation of the integral.

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The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

1

Step-by-step explanation:

if it was multiplying,a 0 would be taken away every time is was multiplied.

The answers are as follows:

1. Is salesperson creativity always a good thing?

Please explain.

Creativity is a great quality to possess, but it is not a necessity when it comes to sales.

The most significant factor is to focus on the customer's needs and provide solutions to their problems. Creativity can help the salesperson in achieving the target and gaining new customers.

However, it may also lead to the introduction of new and innovative products that can lead to a loss instead of profit.

Therefore, creativity should not be the only factor for sales success.

2. Can you train salespeople to be creative? Please explain. If you answered yes, how? If you answered no, why not?

Creativity is an essential skill, but not everyone possesses it naturally. However, it is possible to train salespeople to be more creative.

One way to do this is to provide them with new and unique training programs. It will help in nurturing their creativity and encouraging them to think outside the box.

Another way is to provide them with real-life case studies and give them time to brainstorm. This will help in enhancing their critical thinking and problem-solving abilities.

Yes, it is possible to train salespeople to be creative.

3. How have you acted creatively in solving a customer issue? (this is a GREAT one to have ready for an interview!)

In my previous job, I once had a customer who had a unique issue. The customer was unhappy with the color of the product, and no other product was available in that particular color. The customer wanted to return the product, but that was not possible as per the company's policy.

Therefore, I suggested that we paint the product in the desired color. This solution was approved by the company, and the customer was delighted with the outcome.

It was a creative solution that helped in retaining the customer and creating brand loyalty.

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The first five terms of the sequence are 27, 22, 17, 12, and 7.

To find the first five terms of the sequence given by a₁=27 and d=-5,

we can use the formula for the nth term of an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

Substituting the given values, we have:

\(a_n=27+(n-1)(-5)\)

Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:

\(a_1=27+(1-1)(-5)=27\)

\(a_1=27+(2-1)(-5)=22\)

\(a_1=27+(3-1)(-5)=17\)

\(a_1=27+(4-1)(-5)=12\)

\(a_1=27+(5-1)(-5)=7\)

Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.

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Step-by-step explanation:

Given

If x = 4 Then

3x + 1 = 3 * 4 +1 = 12 + 1 = 13

The answer should be 13.

Answer:

An equation that represents the line is:

y = 3/4x - 9/2

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the attached graph of a line.

Taking two points from the line, such as

Determining the slope between (2, -3) and (0, 6)

\(\left(x_1,\:y_1\right)=\left(2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(6,\:0\right)\)

\(m=\frac{0-\left(-3\right)}{6-2}\)

refine

\(m=\frac{3}{4}\)

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation

y = mx + b

\(\left(-3\right)=\frac{3}{4}\left(2\right)+b\)

\(\frac{3}{2}+b=-3\)

subtract 3/2 from both sides

\(\frac{3}{2}+b-\frac{3}{2}=-3-\frac{3}{2}\)

\(b=-\frac{9}{2}\)

now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation

y = mx + b

y = 3/4x + (-9/2)

Therefore, an equation that represents the line is:

y = 3/4x - 9/2

Answer:

Step-by-step explanation:

F(x)=x³-27/x²-9

F(x)=(-9)³-27/(-9)²-9

F(x)=-729-27/-81-9

F(x)=-756/-90

F(x)=42/5

The function f(x)= \(x^3-27/x^2-9\), is differentiable over the interval (-9, 9) because it is defined and continuous for all x within this range (excluding  x=±3).

The correct answer is: a. (-9, 9).

Here, we have to determine the interval over which the function f(x)= \(x^3-27/x^2-9\), is differentiable, we need to check for two conditions:

The function is defined at all points in the interval (i.e., there are no points where the denominator becomes zero).

The function is continuous at all points in the interval.

First, let's find the points where the denominator \(x^2-9\) becomes zero:

\(x^2-9 = 0\\ x^2 = 9\\\)

so, we get,

x=±3

So, the function is not defined at x=±3 since the denominator becomes zero at these points.

Now, we need to check the continuity of the function within each interval that remains after excluding the points x=±3.

Option a. (-9, 9): The function is continuous over this interval because it is defined for all x within this range (excluding x=±3).

Option b. (-9, 0): The function is continuous over this interval because it is defined for all x within this range (excluding x=±3).

Option c. (-9, 3): The function is not continuous over this interval since it includes the point x=3 where the function is not defined.

Option d. (-3, 3): The function is not continuous over this interval since it includes the points x=−3 and x=3 where the function is not defined.

Option e. (-3, 9): The function is continuous over this interval because it is defined for all x within this range (excluding x=±3).

Therefore, the correct answer is: a. (-9, 9).

The function f(x)= \(x^3-27/x^2-9\), is differentiable over the interval (-9, 9) because it is defined and continuous for all x within this range (excluding  x=±3).

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Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

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Expansion of Algebraic Expressions.

The correct answer is