Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or exponential. Also find the slope-intercept form of the equation of the line that best fits the data. 10) X Y 10 20 10630 X Y 30 390 40 160 X Y 90 210 100 370 500 10 20 30 40 50 60 70 80 90 100

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

Read more about angles here:

https://brainly.com/question/25716982

#SPJ1

The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Annette Creighton opened Creighton Consulting and rented a small office space. She also hired a part-time worker to handle phone calls and make deliveries.

1. Annette Creighton decided to start her own consulting firm and named it Creighton Consulting.

2. As part of setting up the business, she began by renting a small office space. This would serve as the headquarters for her consulting operations.

3. To ensure smooth communication and timely deliveries, Annette realized the need for assistance. She hired a part-time worker to handle incoming phone calls and make necessary deliveries on behalf of the company.

4. The part-time worker would be responsible for answering the phone and addressing client inquiries or forwarding them to Annette if necessary. This step was crucial to maintaining good customer service and professionalism.

5. Additionally, the worker would also handle deliveries, ensuring that any documents, packages, or materials were transported promptly to clients or other relevant destinations.

6. By hiring a part-time worker, Annette aimed to streamline her operations and focus on core consulting tasks, such as client meetings, project management, and providing expert advice to clients.

7. The worker's role would involve effective communication skills, organization, and attention to detail to represent Creighton Consulting in a professional manner.

8. Annette understood that investing in administrative support would free up her time and allow the business to operate more efficiently, ultimately benefiting both her and her clients.

9. With the office space secured and the part-time worker in place, Annette was ready to embark on her consulting journey, confident in her ability to handle client inquiries and maintain smooth business operations.

For more such questions on Consulting, click on:

https://brainly.com/question/14789878

#SPJ8

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

For more related questions on time spent:

https://brainly.com/question/28263820

#SPJ8

Step-by-step explanation:

Area of parallelogram:

Area of parallelogram:

Answer:

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?

The car is faster

Find the unit rates

The car is going 30 feet in 1 second(600 divide by 20 = 30)

The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)

Compare the unit rates

30 > 25

Step-by-step explanation:

Answer:

Hakim's car is faster.

Step-by-step explanation:

Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.

So for Hakim, the unit rate are 30 feet per second because 600/20 = 30

For Andre, the unit rate is 25 feet per second because 600/24 = 25

Hakim's car goes faster because 30 is greater than 25.

Answer:

The median is marked at 161cm instead of 162cm.

The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.

Median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.

Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

For the given situation,

Least height - 142 cm

Lower quartile - 154 cm

Inter quartile range - 17 cm

Median - 162 cm

Range - 40 cm

The higher quartile can be calculated as

Higher quartile = Lower quartile + Inter quartile range

⇒ Higher quartile = \(154+17\)

⇒ Higher quartile = \(171\)

From the box plot shown, the values of median and higher quartile are drawn wrong.

In diagram,

Hence we can conclude that median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.

Learn more about box plot here

https://brainly.com/question/12591498

#SPJ2

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

From the given expenses, we found that the total monthly expense of Lan is approximately $256.

What is meant by expenses?

An expense is something that calls for the transfer of funds, or fortune in general, from one person or organisation to another as payment for a good, service or another type of cost. Expenses are simply another word for cost. The operational costs that are incurred to generate business revenues are referred to as expenses in accounting. Operating expenses are those costs that make up the bulk of operations and are associated with the company's fundamental activities. As an illustration, consider salaries and wages, depreciation, rent and lease payments, selling costs, etc. Non-operating expenses, on the other hand, are those that are not directly related to the operation of the firm and do not form a part of its essential operations. Examples include interest, taxes, fuel prices, etc.

Given the expenses, Lan pays in a year,

 The automobile insurance paid in a year = 450 * 2 = $900

The monthly premium for health insurance paid = $155  

Health insurance paid in a year = 155 * 12 = $1860

Life insurance paid in a year = $350

Now we can find the total yearly expense = 900 + 1860 + 350

                                                                    = $ 3110

Now the monthly expenses = 3110/12 = $256.17 = $256

Therefore from the given expenses, we found that the total monthly expense of Lan is approximately $256.

To learn more about expenses, follow the link.

https://brainly.com/question/935872

#SPJ1

Hello Papi :D

I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.

\(f(x)=-{x}^{2}-3x+6\)

First: let us take out the common factor: \(-1\), since we remember that the canonical form is characterized as follows:

\(\boxed{f(x)=a{(x-h)}^{2}+k\)

Then, it remains:

\(f(x)=-1({x}^{2}+3x-6)\)

Then: the coefficient of the variable \(x\) We divided it between \(2\), And we square it (they will be one positive and one negative). In our case:

\(\dfrac{3}{2}\rightarrow {\dfrac{3}{2}}^{2}\)

\(\frac{9}{4}[\tex]

We apply it to the function:

\(f(x)=-1({x}^{2}+3x-6+ \boldsymbol{\dfrac{9}{4}}- \boldsymbol{\dfrac{9}{4}})\)

Let's accommodate terms to make it easier:

\(f(x)=-1(\underline{{x}^{2}+3x+\frac{9}{4}}-6-\frac{9}{4}\)

\(-6\) Can be written as \(-\frac{24}{4}\):

\(f(x)=-1(\underline{{x}^{2}+3x+\frac{9}{4}}-\frac{24}{4}-\frac{9}{4}\)

\(f(x)=-1(\underline{{x}^{2}+3x+\frac{9}{4}}-\frac{33}{4}\)

Now, what is underlined is our perfect square trinomial, let us recall its form:

\(\boxed{{a}^{2}+2ab+{b}^{2}}\)

Applying the same principle we are left:

\(f(x)=-1[{(x+\frac{3}{2})}^{2}-\frac{33}{4})\)

Applying distributive property we get:

\(\boxed{\boxed{\boxed{f(x)=-{(x+\frac{3}{2})}^{2}+\frac{33}{4}}}}\)

Therefore it will have its vertex in: \((-1.5,\:8.25)\)

The axis of symmetry is a straight line that makes the function to be projected being \(2\), for this you need some reference point, for the parabola you need the coordinate in \(x\) of the vertex.

For which the axis of symmetry is \(-1.5\).

I love you so much !

Step-by-step explanation:

the answer is:

c)Assets + Liabilities = Capital.

Answer:

52/x

Step-by-step explanation:

For example, say that we want to sort the cans into 2 bag

82/2 = 26  There will be 26 cans in each bag.

Say we had 4 bags

52/4 = 13 There would be 13 cans in each bag.  The x just lets us generalize this to different numbers of bags.

We shοuld mix 9 οunces οf yellοw paint with 24 οunces οf blue paint tο make the same cοlοr as the sample.

Ratiοs are a way οf cοmparing twο οr mοre quantities by expressing their relative sizes οr amοunts. They can be written in the fοrm a:b οr a/b, where a and b are the quantities being cοmpared. Ratiοs are οften used in mathematics and everyday life tο express prοpοrtiοns, rates, and οther relatiοnships between quantities.

Tο make the same cοlοr as the sample, we need tο maintain the same ratiο οf blue tο yellοw paint.

The ratiο οf blue tο yellοw paint in the sample is 3:8, which simplifies tο 3/8.

If we have 24 οunces οf blue paint, we can use this ratiο tο find the amοunt οf yellοw paint needed:

(3/8) * 24 = 9 οunces

Therefοre, we shοuld mix 9 οunces οf yellοw paint with 24 οunces οf blue paint tο make the same cοlοr as the sample.

To learn more about Ratios from the given link

https://brainly.com/question/13419413

#SPJ1

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

for more such questions on volume

https://brainly.com/question/1972490

#SPJ8

Answer:

The square root of fifty is 7.10 rounded

Step-by-step explanation:

It would be around 7 on the number line. Hope this helps!!

Answer:

C. x=12

Step-by-step explanation:

Let's call the width "x"

Twice the width would be 2x, and 3 meters less than that would be 2x-3.

Area of a rectangle is length times width, so (2x-3) times x.

We know the area is 665, so we can model this information with x(2x-3)=665...which is a quadratic equation.

To solve this equation, start by distributing the x to both the 2x term and the -3 term.  Now we have 2x2-3x=665.

There are several methods for solving a quadratic equation, but since this is not easily factorable I will use the quadratic formula.  This formula gives the solutions to a quadratic expression that is equal to 0, so we will have to subtract 665 from each side to set that up.

Now 2x2-3x-665=0, giving us a=2, b=-3, and c=-665.

Substituting these values into the quadratic formula we have x=-(-3)±√(9–4·2·-665) all divided by 2·2

Simplifying the parts: -(-3) equals 3, (9–4·2·-665) equals 5329 and its square root is 73, and the denominator 2·2 equals 4.

This gives us (3±73)/4.

Evaluating the "plus version" 3+73=76 and 76/4=19

Evaluating the "minus version" 3-73=-70 and -70/4=-17.5

Referring back to the original question: x is the width of the rectangle, so it cannot be a negative number.  That means the width must be 19.  The length was 3 less than twice the width (or 2·19-3), which is 35.  The dimensions of the rectangle are: length=35 meters and width=19 meters.  (We can check this by multiplying length times width, 35·19=665.  Since 665 was the given area, we must be correct!)

In order to find the correct box plot, first let's calculate the median of the data set.

The set is already in crescent order, and it has 15 elements, so the median will be the 8th element, which is 500.

This value is represented by the middle line in the box plot. Since there are two options with the median = 500, let's calculate the first interquartile.

If we consider just the first 7 elements, the middle term will be the 4th element, so the first interquartile is 425.

Looking at the options, the one with first interquartile equal 425 is the first one (option A).

Answer:

-42/7

Step-by-step explanation:

Going through the options, we can cross out the wrong options.

Option 1:

Expected values:

These are the values with which we are trying to compare with the observed values from the data.

Hence, the researcher does need to pay attention to this since it is critical to calculating the chi square statistic for the research, which would determine whether or not there's a dependence in the data.

Option 2:

Norminal data:

This is just referring to data that is not ordered and categorical. The question already mentions that the data is categorical, hence, it is not significant.

Option 3:

Measures are independent of each other:

The measures being independent of each other is in fact what the chi-square is used to find.

As such, this cannot be a factor when carrying out the test when it is in fact a possible outcome

Option 4:

Number of groups:

The number of groups under consideration for the test is not a factor to consider, since we

have been told the data is limited and chi-squared is used to find independence or dependence between two groups.

Hence, the final answer is: Expected Values (Option 1)

The moment of inertia for rotation about the z axis is  \(I & =\frac{a^2 M}{3}\).

A triangular prism of mass m, whose two ends are equilateral triangles.

Two ends are equal.

The xy plane with side 2a, is centered on the origin with its axis along the z axis.

Find the moment of inertia for rotation the z-axis.

It is divide into 4 triangles with side 'a' k one side is 3cm.

\($$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$\)

It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.

Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.

\($$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$\)

\($$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$\)

⇒ Now, by using the \($I_{\text {Big }}=I$\)

⇒\(I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\\)

⇒\(4 I & =I+a^2 m\)

⇒\(4 I-I & =a^2 m \\\)

⇒\(3 I & =a^2 M . \\\)

⇒\(I \quad & =\frac{a^2 M}{3}\)

Therefore, the moment of inertia is \(I & =\frac{a^2 M}{3}\).

For more such questions on distance between points

https://brainly.com/question/15958176

#SPJ4

We want to see what can we say about f(x) extremes for the given information. We will see that the correct option is:

V: f has a relative minimum at x=-2 and a relative maximum at x=2.

A given function f(x) will have a maximum/minimum at x₀ if:

f'(x₀) = 0

Here we do know that:

Then the only zeros of f'(x) are when (x^2 - 4) = 0.

And this happens for x = 2 and x  = -2

Now let's see if these are minimums or maximums, we have:

f''(x) = 2*x*g(x) + (x^2 - 4)*g'(x)

If we evaluate this in x = 2, we get:

f''(2) = 2*2*g(2) + (2^2 - 4)*g'(2)

       = 4*g(2) + 0*g'(2) = 4*g(2)

And g(x) is always negative, then 4*g(2) < 0, then:

f''(2) < 0

Meaning that in x = 2 we have a relative maximum.

For x = -2 we have:

f''(-2) = 2*-2*g(-2) + ((-2)^2 - 4)*g'(-2)

       = -4*g(2) > 0

Then f''(-2) > 0, meaning that in x = -2 we have a relative minimum.

Then the correct option is:

V:  f has a relative minimum at x=-2 and a relative maximum at x=2.

If you want to learn more about maximums and minimums, you can read:

https://brainly.com/question/1938915

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

a) x^3 b) y^5

Step-by-step explanation:

you can combine the x's and y's to make a exponent equal to the number of x's or y's.

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

Answer:

5/6, 0.83 or 83%

Step-by-step explanation:

Answer:

Probabilities

Decimal: \(0.91\)

Fraction: \(\frac{91}{100}\)

Percentage: \(91\)%

Step-by-step explanation:

Writing out information

2 comedy CDs

3 science-fiction CDs

7 adventure CDs

10 random CDs

22 total CDs

The chosen CD is not a comedy.

Solving probability for each

Decimals rounded to nearest 100th

Comedy:

\(2:22\\0.09\\\frac{2}{22}\)

Science-fiction:

\(3:22\\0.14\\\frac{3}{22}\)

Adventure:

\(7:22\\0.32\\\frac{7}{22}\)

Random:

\(10:22\\0.45\\\frac{10}{22}\)

Finding the total of the non-comedy

\(0.14+0.32+0.45=0.91\)

\(0.91=91\)%

Conclusion

Probabilities

Decimal: \(0.91\)

Fraction: \(\frac{91}{100}\)

Percentage: \(91\)%