In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (2,-1), (3,0.5), (6,1.5), (9,2)


Pease help :((

Answers

Answer 1

The solution to the question is arrived at using the knowledge of mathematical models.

What is a mathematical model?

A mathematical model is a linguistic and mathematical concepts-based description of a system.

The appropriate model for the given data is:


Because there are discrepancies and no direct equation that can complete all of these points, a Least Square Regression Line is the best option for resolving this problem.

They could be outliers, so we need use a calculator to create a regression line to find the residual value.

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Related Questions

Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 10,000 shares at $5.50 per share. Stock B opens on Monday with 8000 shares at $6.25 per share. Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?

A. 5.6%
B. 5.9%
C. -5.6%
D. -5.9%​

Answers

Answer:

sorry but I do know that it is A or B hope this helps.

The rate of change of the given simple index over 1 day is -0.9%.

What is rate of change?

When something has a constant rate of change, one quantity changes in relation to the other.

Given that;

Stock A opens on Monday with 10000 shares at $5.50 per share.

Stock B opens on Monday with 8000 shares at $6.25 per share.

Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.

Total value of the simple index at Monday is;

= (10000×5.50) + (8000×6.25)

= 55,000 + 50,000

= 105,000

The total value of the simple index at Tuesday is;

= (10000×5.80) + (8000×6.65)

= 58,000 + 53,200

= 111,200

The rate of change of this simple index over 1 day is;

= (111,200-105,000)/(10000-8000) -1

= 6,200/2000 - 1

= 3.1 - 1

= 2.1

Hence, the rate of change of the given simple index over 1 day is -0.9%.

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How do you convert fractions into decimals?

And the other way around?

Answers

How do you convert fractions into decimals ? ;-

Any number which is represented in a fraction form is divided into two parts i.e., Numerator and Denominator.

To convert a number from fraction to decimal form we divide the numerator by the Denominator.

Fractions are represented in the form of , p/q , Where q≠0.

While the decimal numbers are formed by connecting the whole number part and fractional part through a decimal point ..

→ The formula to convert a fraction to a decimal is ( "a ÷ b" ) .

→ where ( a ) is the NUMERATOR and ( b ) is the DENOMINATOR of the fraction .

The fraction to decimal formula states that:

• you just need to divide the numerator by denominator to get the decimal equivalent of the fraction ..

For example:

• convert 25/100 to decimal ?

→ Just divide 25 by 100 = 0.25

Hope this helps you :) ..

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Step-by-step explanation:

to convert a fraction to decimal ,well just divide numerator ....by the denominator

we 'll divide 1 by 4.1 divided by 4 equal to zero to keep dividing we ' ll add a decimal point and a zero after 1.

What is the value of x in the image below?

Answers

Answer:

a

Step-by-step explanation:

A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg

Answers

We will see that there are 284.2 kilograms of helium inside the ballon.

How to find the mass of helium in the ballon?

In this problem, we know the volume of helium and the density of helium.

Remember that:

density = mass/volume.

Then we can write:

mass = density*volume.

Replacing the two in the right, we get:

mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg

Then we can conclude that there are 284.2 kilograms of helium in the ballon.

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Simplify this expression

(15+8d)(-5)-24d+d

Solve step by step

Answers

(15 + 8d) (- 5) - 24d + d
- 75 - 40d - 24d + d
- 75 - 63d

Simplify the fraction

Answers

8 7 20

2 3/4 + 5 3/5 = 167/20if we simplify, it'll be 8 7/20

[tex] formula:[/tex]Convert the mixed numbers to improper fractions, then find the LCD and combine.

4 people are going to a dinner party. Each person at the party will eat 5/6 pound of salad but you can only buy in pounds.If you can only buy whole pounds of salad, how many pounds should you buy?

Answers

4 pounds (you need 3 2/6 pounds but if you can buy in whole pounds you need 4)

Simplify: √645³
O 872
O 84
O 3272
O 324

Answers

Answer:

√645^3=16,380.9. Mathematically correct

Given the function f(x) = 8x-1, what is the corresponding value when x = -1?

Answers

given ,

f(x) = 8x-1

For f(-1) = 8(-1)-1 = -8-1 = -9 is the answer

Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649

Answers

Step-by-step explanation:

it seams like this question is wrong

help me pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Which one 3, 4, 6, or 7

Answers

Answer:

i think that it is 6

Step-by-step explanation:

hope this helps

Please give me Brainlist

exponential function question

Answers

Answer:  [tex]y = 850(0.943)^t[/tex]

Reason:

The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.

a = 850 is the starting amount

b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor

If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.

In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month. after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35

Answers

Answer:

After 31 months, Desmond first have enough money to purchase a used car.

Step-by-step explanation:

Since we have given that

Saving per month for a used car = $25

Each month he is able to save = $5 more than the previous month

If we have $3000 to purchase a used car.

So, we need to find the number of months Desmond to have enough money.

Our sequence will be

25,30,35,..............3000

So, it becomes,

Months can't be negative, So,

n = 31 months.

Hence, After 31 months, Desmond first have enough money to purchase a used car.

Answer:

C. 31

Step-by-step explanation:

Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44

9 18 27 ?


A: 38


B: 36


C: 35


D: 37

Answers

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.

Answers

The correct answer is: y = -2x^2 + 8x + 5
[Answer from Plato/EdMentum]

Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.

Answers

The probability that the guest chooses one of each type of soda will be 8.03%.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.

A party guest randomly chooses four cans of soda.

Then the probability that the guest chooses one of each type of soda will be

Let the total number of the soda can will be 100. Then we have

Ambrase = 20

Butonic = 30

Colana = 15

Dynamite = 35

[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]

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What is the surface area of the triangular prism shown?

Answers

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 15\ cm[/tex]

[tex]Area = 375\ cm^2[/tex]

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 12\ cm[/tex]

[tex]Area = 300\ cm^2[/tex]

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 9\ cm[/tex]

[tex]Area = 225\ cm^2[/tex]

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

[tex]Area = \frac{1}{2}* b*h[/tex]

[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]

[tex]Area = 54\ cm^2[/tex]

Multiply it by two to get the area for both of the triangles.

[tex]Area = 54\ cm^2 * 2[/tex]

[tex]Area = 108\ cm^2[/tex]

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]

[tex]Area_{total}=1008\ cm^2[/tex]

Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]

Hope this helps!

Find the mean of the data: 125, 15, 30, 110, 70

Answers

Answer:

The mean of the data is 70

Step-by-step explanation:

Hope this helps you! :D

Answer:

70

Step-by-step explanation:

Mean-

Add all the numbers to the total = 350

Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)

350/5 = 70

If h = 3.5u, what is the value of h when u = 17?
Give any decimal answers to 1 d.p.

Answers

h=3.5u

Put u=17

h=3.5(17)h=51+8.5h=59.5

Answer:

59.5.

Step-by-step explanation:

h = 3.5u

When u = 17,

h = 3.5*17

= 59.5

Can anyone help me with this quick question please, ASAP, Thank You!

Answers

Answer:

15.7 lbs (please mark brainliest)

Step-by-step explanation:

2.6+x+x=34

2x=31.4

x=15.7

Answer: 14.4

Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.

Ruth ann wants to research two different careers, medical doctor and astronaut. what is a good first step ruth ann could take? if she went to a bookstore to research her careers, which section would she search?

Answers

Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.

What is a career?

career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.

Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.

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Answer:

visit the US. Bureau of Labor Statistics website to find information on both careers and the career section

Step-by-step explanation: well i know it right because i just answered it correct

I need help asap please

Answers

When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.

How to illustrate the probability?

Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:

= $3300 - $429

= $2871

In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.

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Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%

Answers

b. 55.722

Step-by-step explanation:

1850/3320

I assume that you know what the question is asking to solve for.

The net profit margin for Korey's Comics is 42.5%.

Option A is the correct answer.

What is a profit?

Profit is the difference between the selling price and the cost price.

We have,

Net profit margin is calculated by dividing net income by net sales and multiplying the result by 100 to get a percentage.

Net Profit Margin = (Net Income / Net Sales) x 100%

Substituting the given values.

Net Profit Margin = (1,850 / 4,350) x 100%

Net Profit Margin = 0.425 x 100%

Net Profit Margin = 42.5%

Therefore,

The net profit margin for Korey's Comics is 42.5%.

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A) The function f is defined by : f(x) = x2+ax+b
a and b are constants.
It is known that: f(0) = 7 and f(-2) = 17
Find the values of a and b.

B) Use the values of a and b to solve this equation: f(x) = 35
x = __ or x = __?

Answers

Answer:

A. a = -3 and b = 7.

B. x = -4 or x = 7.

Step-by-step explanation:

A)

f(0) = 0^2 + a(0) + b =  7

So b = 7.

f(-2) = (-2)^2- 2a + 7 = 17

4 - 2a = 17 - 7

4 - 2a = 10

-2a = 10 - 4 = 6

-2a = 6/-2

a = -3.

B)

Substituting a = -3 and b = 7 we get:-

x^2 - 3x + 7 = 35

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x - 7 = 0 or x + 4 = 0

x = -4 or x = 7.

(please help will give brainlyest)
enter the lowest whole number in the numerator to make the comparison ?/7 > 1/2 true.

Answers

14/7 is greater than 1/2

Sure hope this helps you

I mean, technically any number higher than 3.5 would make the expression true. I would say, in all honesty, the lowest number is 4 because that’s what the lowest whole number is rounded to.

Use the given scale and determine the actual straight -line distance between East London and Bloemfontein

Answers

Answer:

Driving Distance : 569 KM and 398 meters / 353.8 miles.

Straight Line Distance : 467 KM and 700 meters / 290.6 miles.

Travel time : 11 hours and 19 minutes.

Direction and bearing : South side, 159 degree.

Step-by-step explanation:

What is the answer??

Answers

Answer:

5 given as -1 and 8 positive 8 cross by axis

A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. Customers can choose among 5 drinks, 4 main dishes, and 5 sides. How many different combo meals are possible? Select from the drop-down menu to correctly complete the statement Customers can create Choose... different lunch combo meals. 4 A 1 2 3 4 5. oc 9​

Answers

Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.

Since order is not important we use combination to solve the problem

What is combination?

This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!

The number of different combo meals

Now, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.

There are ⁵C₁ ways of choosing the drinks.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

There are ⁴C₁ ways of choosing the main dishes.

So, ⁴C₁ = 4!/1!(4 - 1)!

= 4!/1!/3!

= 4

There are ⁵C₁ ways of choosing the sides.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

So, total number of ways of choosing the combo meals is

⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5

= 100 ways.

So, there 100 different combo meals are possible.

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Answer: The answer is 100

Step-by-step explanation:

Write a system of inequalities using the given graph

Answers

Take two points

(-2,1)(0,-3)

Slope

m=-3-1/0+2=-4/2=-2

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

y=-2x-3y=-2x-1

Put (0,0) on first one

0>-3

On second one

0>-1

So as lines are dashed symbols remain >

The inequalities are

y>-2x-3y>-2x-1
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