A. Define what the numeric value of each group represents.

B. Comment on the presence of outliers.

D. Compare the center and spread of the distributions (Not with numbers but with descriptive language).

Please answer bc it’s due tonight and thank you. Please please help me faster

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:  D

Step-by-step explanation:

To have a proportional relationship, the value of y divide by x has to have the same constant value and if you were to graph it, it has to go through the origin.

A is not proportional because it is not going through the origin.

B is also not proportional because it is also not going through the origin.

Now to find out if C is proportional divide the y value by x so see if they all have a constant change.

8/2 =4

16/4 = 4

24/8 = 3

32/ 12 = 2.6  

This is also not proportional .

D. 3/2 = 1.5

   6/4 = 1.5

 12/ 8 = 1.5  

 18/12 = 1.5  

This represents a proportional relationship  because they all have a constant change

The proportional relationship between x and y will be given by option D.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let's check all the options:

Option A because the line has intercept.

Option B because the line is zero.

Option C:

The slope is given as,

Slope = (16 - 8) / (4 - 2) = 4

Slope = (24 - 16) / (8 - 4) = 2

Slope = (32 - 24) / (12 - 8) = 2

Option D:

The slope is given as,

Slope = (6 - 3) / (4 - 2) = 3/2

Slope = (12 - 6) / (8 - 4) = 3/2

Slope = (18 - 12) / (12 - 8) = 3/2

The proportional relationship between x and y will be given by option D.

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Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Answer:

5 3/5  or 5.6

Step-by-step explanation:

Answer:

5 & 3/5

Step-by-step explanation:

4 plus 1 = 5

Since the fractions have the same denominator, this is easy. 1/5 + 2/5 = 3/5.

5 + 3/5 = 5 & 3/5

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Step-by-step explanation:

8 1/4 = 32/4 + 1/4 = 33/4

1 1/2 = 2/2 + 1/2 = 3/2

how many trips ? we need to see how often 3/2 fits into 33/4. that is a division

33/4 / 3/2

remember, dividing by a fraction is the same as multiplying with the inserted fraction.

so,

33/4 / 3/2 = 33/4 × 2/3 = 33×2 / 4×3 = 33 / 2×3 = 11/2 =

5.5 or 5 1/2

so, it will take 5 1/2 truck loads of 6 trips (with the last one being only half full).

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

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Answer:

Linear

Step-by-step explanation:

It increases by a steady rate, so it is linear.

Answer:

If a 25% tip is equal to 2 dollars, then the price of the tacos would be 2 x 4, or 8 dollars.

So, 8 is the correct answer.

Let me know if this helps!

Answer: $8

Step-by-step explanation:

First, take 2 times 4

2x4

This will equal 8

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Answer:

Step-by-step explanation:

a) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 3 days is 3/1, or 3/1 of a tank.

b) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 1 week is 7/1, or 7/1 of a tank.

It's worth noting that tanks of gas come in different sizes, so the amount of gas consumed in a day, week, or any other period of time will depend on the size of the tank, and the consumption of the car, so this answer is based on the assumption that a full tank is used every day.

Answer:

False

Step-by-step explanation:

The open circle means you should not include the number it is on.

The inequality would look like, x<2 and not equal to. Therefore, 2 is not a solution.

Answer:

False

Step-by-step explanation:

When there is an open circle, it means that it can't be that exact number. If there is a closed circle, it can be that number. This is an open circle, and means that it is less than 2.

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

Graph A

Step-by-step explanation:

The line starts at around 29,000, including graph B

but 6.2% is not so huge, so the curve would be less.

B's curve is is very high, so it would not make sense.

If my answer is incorrect, pls correct me!

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Answer:

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

Step-by-step explanation:

Mutually exclusive:

If two events are mutually exclusive, if one events happen, the other cannot happen, and vice-versa.

Rolling a die; A={Rolling an even number}, B={Rolling a number greater than 4}

A die has the following outcomes: 1,2,3,4,5,6

Even numbers: 2,4,6

Greater than 4: 5, 6

6 is an outcome of both events A and B, so they are not mutually exclusive.

Picking a card; A= {Selecting a 7}, B={Selecting a Heart}

Cards numbered from 1 to 13, each number with 4 types. So we can have a card of hearts numbered 7, which means that these events are not mutually exclusive.

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

If you get no heads, the probability of at least 1 head is 0.

If you get at least 1 head, the probability of no heads is 0.

This means that this is the answer, that is, these events are mutually exclusive.

Rolling two 6-sided dice; A={rolling a sum of 4}, B={rolling a 3 on one die}

(3,1) or (1,3) has a sum of 4 and a 3 on one die, which means that these events are not mutually exclusive.

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

\( \displaystyle \large{m = \frac{10 - 2.5}{4 - 1} } \\ \displaystyle \large{m = \frac{7.5}{3} } \\ \displaystyle \large{m = 2.5}\)

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

\(\displaystyle \large{y = 2.5x }\)

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

\(\displaystyle \large{1577847.6 = 2.5x}\)

Divide both sides by 2.5

\(\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }\)

Here proof i.e. ∠1=∠3 is also given in the image for the given geometric shape.

What are geometric shapes?

In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.

Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic.

In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc.  In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on.

Now

To prove   ∠1=∠3

Here as given ∠1+∠4=180°

and also ∠2+∠3=180°    (supplementary angles)

therefore,

∠1+∠4=∠2+∠3

and also ∠2=∠4  ( complementary angles)

Hence,

          ∠1=∠3

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Answer:

ratio

Step-by-step explanation:

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

The calculated value of 3 divided by (2/5+23)+4 is 4 15/117

From the question, we have the following parameters that can be used in our computation:

3 divided by (2/5+23)+4

Evaluate the expression in bracket

So, we have

3 divided by (2/5+23)+4 = 3 divided by (23 2/5)+4

This gives

3 divided by (2/5+23)+4 = 3 divided by (117/5)+4

Open the brackets

So, we have

3 divided by (2/5+23)+4 = 3 * 5/117+4

Evaluate

3 divided by (2/5+23)+4 = 15/117+4

Add the fractions

3 divided by (2/5+23)+4 = 4 15/117

Hence, the value of 3 divided by (2/5+23)+4 is 4 15/117

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This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer: f(x)=(2x−1)(3x−2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x−1)(3x−2)

Answer:

\(709*68=48212\)

ans = 48212

Given c = 5 and d = 4

Answer:

7 :)

Step-by-step explanation:

I think so at least kduhdd