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The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.

Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24

Answer:

ARE YOU TRYING TO CHEAT IN EDIO FROM MARK ARTLEYS CLASS, HUH?????

Caught you in 4k

Step-by-step explanation:

I simply caught you in 4k and snapped it (virtually)

Very simple stuff  

Answer:

rectangle D is the answer

The Equation that can be used to determine how many hours Alex practiced his guitar on Wednesday & Thursday is H=5/8 + 33/4

In the equation,

H= Hours Alex played his Guitar

To calculate the total hours Alex played guitar, the basic addition of the hours given for that particular day is added. With this simple formula, the total Hours Alex played the guitar can be calculated.

In this case,

Total time Alex played Guitar on Wednesday = 5/8 Hours

Total time Alex played Guitar on Thursday = 3 3/4 Hours

Therefore, the equation for total hours Alex practiced his guitar on Wednesday & Thursday is H=5/8 + 33/4

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Step-by-step explanation:

this may help i don't know the answer but it can help you i think

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Slicing a solid horizontally or vertically creates a cross section that looks like the Rectangle or one of the Square of the solid.

A cross section is the intersection of a figure in three-dimensional space with a plane. It is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. The figure (face) obtained from a cross section depends upon the orientation (angle) of the plane doing the cutting.

Slicing a solid horizontally or vertically creates a cross section that looks like the Rectangle or one of the Square of the solid.

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I would  call the subset of 1000 apples collected from the orchard knowing that the 1000 apples was less than the population of the apples as a sample

You should be aware that Set of all possible outcomes or results of a statistical trial or experiment is called a sample

The total outcome in the orchard is 1000 apples Which is the universal set.  

So the sample is drawn from the universal set to give a sub set of 1000 apples.

Total population is the universal set is larger than the sample size which is the subset of 1000 apples

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Answer:

  y - x

Step-by-step explanation:

You want the simplified form of |y -x| if y > x.

The absolute value function is defined as ...

  |a| = a . . . . for a ≥ 0

  |a| = -a . . . . for a < 0

We have the expression |y -x|. Using the above function rule, it is ...

  |y -x| = y -x . . . . for y -x ≥ 0   ⇒   y ≥ x

  |y -x| = -(y -x) = x -y . . . . for y -x < 0   ⇒   y < x

The problem statement tells us we're interested in the case y > x, so the first version applies:

  |y -x| = y -x . . . . if y > x

Answer:

Some rational numbers that you can use are numbers like 25 and 12.5

An irrational number that you can use is π = 3.14159265...

Step-by-step explanation:

Pls give me brainliest thx

If it's wrong then don't bother

Answer:

13.8m

Step-by-step explanation:

angle ATB = 32° - 19° = 13°

In angle OBT:

sin 32° = opposite/hypotenuse = h/BT

h = BT * sin 32

h = 18 * sin 19* sin 32 / sin 13= 13.8 m

So, The height of tree ≈ 13.8 m.

The population of the city after 13 years with growth rate of 3.5% per year is equal to 422268 people.

Population of the people in the city = 270,000

Population grow by 3.5% per year

Time = 13 years

We can use the formula for exponential growth,

P = P₀(1 + r)ⁿ

where P₀ is the initial population,

r is the annual growth rate as a decimal,

n is the number of years,

and P is the final population.

Using the values given in the problem, we have,

P₀ = 270,000

since the annual growth rate is 3.5%

r = 0.035

Since we want to know the population after 13 years.

n = 13

Plugging these values into the formula, we get,

P = 270,000(1 + 0.035)¹³

  = 270,000 (1.56395 )

   ≈ 422268.1

Rounding to the nearest whole number, the population after 13 years will be approximately 422268 people.

Therefore, the population of the city after 13 years is equal to 422268 people.

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The mulch for this project cost is $451.36.

Part A: To find the area of the mulch border surrounding the flower garden, we need to first find the area of the larger rectangle and the area of the smaller rectangle. Then we can subtract the area of the smaller rectangle from the area of the larger rectangle to find the area of the garden, and finally subtract the area of the garden from the area of the larger rectangle to find the area of the mulch border.

Area of the larger rectangle = length × width=

10.5 ft 16 ft = 168 sq ft Area of the smaller rectangle = length × width= 5.5 ft × 8 ft = 44 sq ft

Area of the garden = 44 sq ft

Area of the mulch border area of the larger rectangle - area of the garden = 168 sq ft - 44 sq ft = 124 sq ft

Part B: The cost of the mulch for the project can be found by multiplying the area of the mulch border by the cost per square foot.

Cost of mulch = area of the mulch border * cost per sq ft

Cost of mulch = 124 sq ft × $3.64/sq = ft $451.36

Therefore, the mulch for this project cost is $451.36.

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This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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The surface area of the square pyramid is 3920 square feet.

We can use the Pythagorean theorem to find the slant height:

h² = (1/2 * edge length)^2 + height^2

h² = (1/2 * 40)^2 + 21^2

h² = 400 + 441

h² = 841

h = 29

Area of each face = 1/2 * base * height

Area of each face = 1/2 * 40 * 29

Area of each face = 580 square feet

Finally, we can find the surface area of the pyramid by adding up the area of the base and the four triangular faces:

Surface area = Area of base + 4 * Area of each face

Surface area = 1600 + 4 * 580

Surface area = 1600 + 2320

Surface area = 3920 square feet

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The number is greater than 30.

What are numbers?

Numbers are mathematical symbols used to represent quantities or values.

These are essential in various fields such as science, economics,finance,engineering .

Numbers can be classified into different categories including natural numbers, whole numbers, integers, rational numbers, irrational numbers and real numbers.

We know Natural numbers are positive integers starting from 1 .

Again whole numbers include 0 and all natural numbers. Integers include both positive and negative whole numbers.

Rational numbers are numbers that can be expressed as fractions while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimals.

Let's the number be "x".

According to the problem when the number is increased by one-half of itself, we get:

x + 0.5x = 1.5x

We know that 1.5x is greater than 45.

So, 1.5x > 45

Dividing both sides by 1.5, we get:

x > 30

So the answer is (B) greater than 30.

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The system represented in the graph is: y > x² + 4x - 2 and y > 3x + 4.

In mathematics, an inequality is a mathematical expression that compares two values, indicating whether one value is greater than, less than, or equal to the other value. Inequalities use mathematical symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) to indicate the relationship between the values. Inequalities can involve a variety of mathematical operations, including addition, subtraction, multiplication, division, exponents, and roots. They are commonly used to represent a range of possible values for a variable or to describe conditions that must be satisfied. Solving an inequality involves finding the values of the variable that make the inequality true. The solutions to an inequality may be a range of values, rather than a single value as in an equation.

Here,

The shaded region above both of the lines represents the solutions to this system of inequalities.

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The  equation that represents the voltage of the system is V (t) = t² + 10t.

The  equation that represents the voltage of the system is calculated by applying Ohms law as follows;

P = IV

where;

The voltage is calculated as;

V = P/I

P = 0.5t³ + 6t² + 10t

I = t + 2

divide P through by 0.5 and then factorize;

P = t³ + 12t² + 20t

P = t(t + 10)(t + 2)

V = P/I

V = (t(t + 10)(t + 2)) / (t+2)

V = t(t + 10)

V (t) = t² + 10t

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The answers are given below:

The null hypothesis is the assertion that there is no association between the two sets of data or variables being investigated in a scientific study.

The term "null" refers to the idea that any experimentally detected difference is purely accidental and that no underlying causal relationship exists.

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The net cash balance for the month of August is $148,767.00 after taking into account the sales for the month of June, July and August, and the payments made during the month.

The minimum cash balance required is $50,000 and the amount needed by the bank for this month is $98,767.00, while the available amount to pay towards the loan is -$98,767.00.

Amount is a numerical quantity or value representing a monetary sum. It is typically used to refer to the total amount of money paid or received, such as in a business transaction or a financial transaction. It can also refer to a quantity of something other than money, such as units of time or volume. Amount is also used to refer to the amount of a particular resource or commodity, such as the amount of water in a lake or the amount of oil in a barrel.

Beginning Cash Balance: $14,670

June Sales: $40,000

July Sales: $65,000

August Sales: $52,850

Current Month Collection:
June Sales * 20% = $8,000
July Sales * 20% = $13,000
August Sales * 20% = $10,570

Total Current Month Collection = $31,570

Next Month Collection:
June Sales * 50% = $20,000
July Sales * 50% = $32,500
August Sales * 50% = $26,425

Total Next Month Collection= $78,925

Second Month Collection:
June Sales * 25% = $10,000
July Sales * 25% = $16,250
August Sales * 25% = $13,212.50

Total Second Month Collection= $39,462.50

Uncollectible Collection:
June Sales * 5% = $2,000
July Sales * 5% = $3,250
August Sales * 5% = $2,642.50

Total Uncollectible Collection= $7,892.50


Total Cash Receipts = $31,570 + $78, 925 + $39,462.50 + $7,892.50 = $157,750.00


Payments: $24,653

Net Cash Balance: $14,670 + $157,750.00 - $24,653 = $148,767.00

Bank Loan Needed: $50,000 - $148,767.00 = -$98,767.00

The amount needed by the bank is $98,767.00 and the available amount to pay towards the loan is -$98,767.00.

Conclusion:
The net cash balance for the month of August is $148,767.00 after taking into account the sales for the month of June, July and August, and the payments made during the month. The minimum cash balance required is $50,000 and the amount needed by the bank for this month is $98,767.00, while the available amount to pay towards the loan is -$98,767.00.

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To create 45 pounds of a third alloy containing 56% aluminum, the metallurgist has to employ around 16.71 pounds of the alloy containing 34% aluminum and roughly 28.29 pounds of the alloy containing 69% aluminum.

Let x be the number of pounds of the alloy containing 34% aluminum that the metallurgist needs to use, and let y be the number of pounds of the alloy containing 69% aluminum.

We can set up a system of two equations to represent the constraints in the problem:

[tex]x + y = 45[/tex]

Since the total amount of alloy produced is 45 pounds

[tex]0.34x + 0.69y = 0.56(45)[/tex]

Since the amount of aluminum in the final alloy is 56% of 45 pounds

Simplifying the second equation, we get:

[tex]0.34x + 0.69y = 25.2[/tex]

Now we have two equations in two unknowns that we can solve using any method of our choice. For this problem, we will use the substitution method.

From the first equation, we can express y in terms of x:

[tex]y = 45 - x[/tex]

Substituting this expression for y into the second equation, we get:

[tex]0.34x + 0.69(45 - x) = 25.2[/tex]

Simplifying and solving for x, we get:

[tex]0.34x + 31.05 - 0.69x = 25.2\\-0.35x = -5.85\\x = 16.71[/tex]

Therefore, the metallurgist needs to use approximately 16.71 pounds of the alloy containing 34% aluminum and approximately 28.29 pounds of the alloy containing 69% aluminum to make 45 pounds of a third alloy containing 56% aluminum.

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The number 32 represents the answer to the questions that are the same, which are:

The axis of symmetry of the figure is of 2, which is the answer to the question that is different.

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The vertex is classified as a maximum or minimum depending on the term a, which multiplies x², as follows:

The function for this problem is given as follows:

y = -2x² + 8x + 24.

The coefficients are given as follows:

a = -2, b = 8 and c = 24.

The x-coordinate of the vertex, representing the axis of symmetry, is given as follows:

x = -b/2a

x = -8/-4

x = 2.

The y-coordinate of the vertex is given as follows:

y = -2(2)² + 8(2) + 24

y = 32.

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The solution of the system of equations graphed are (4,8) and (0, -8)

A system of equations is a set or collection of two or more equations with the same variables.

The common solutions are the intersecting points of the equations.

Given that is a graph of system of equations, we need to find the solution,

We know that the common solutions are the intersecting points of the equations.

So, here the curve and the line are intersecting at (4,8) and (0, -8)

Hence, the solution of the system of equations graphed are (4,8) and (0, -8)

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The correct answer is

f(12) = -12(12) = -144

The value of limit for given function is,

⇒ lim x→4⁺ f (x)  = 31

We have to given that;

Function is defined as;

⇒ f (x) = { - 2x + 3 , x ≤ 4

          = { - x² + 6x - 9 , x > 4

Now, We can formulate;

⇒ lim x→4⁺ f (x)  

⇒ lim x→4⁺  (- x² + 6x - 9)

⇒ lim x→4⁺ (- 4² + 6×4 - 9)

⇒ lim x→4⁺ (16 + 24 - 9)

⇒ 31

Thus, The value of limit for given function is,

⇒ lim x→4⁺ f (x)  = 31

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Answer:

t + 5

Step-by-step explanation:

its self explanatory

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x+10\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a lline whose slope is 4/3 and it passes through (4 , -8) in standard form

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \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}{(-8)}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{4}) \implies y +8 = \cfrac{4}{3} ( x -4)[/tex]

[tex]y+8=\cfrac{4}{3}x-\cfrac{16}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+8)=3\left( \cfrac{4}{3}x-\cfrac{16}{3} \right)}\implies 3y+24=4x-16 \\\\\\ 3y=4x-40\implies -4x+3y=-40\implies {\Large \begin{array}{llll} 4x-3y=40 \end{array}}[/tex]

The probability that there will be a seat available for every passenger that shows up is given as follows:

0.6276 = 62.76%.

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula is given by the equation presented as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters, along with their meaning, are listed as follows:

The parameters for this problem are given as follows:

n = 42, p = 0.95.

(p is the probability of a person showing up).

The probability of more than 40 people showing up is obtained as follows:

P(X > 40) = P(X = 41) + P(X = 42).

In which:

Hence:

P(X > 40) = 0.2564 + 0.1160 = 0.3724.

Hence the probability of a vacant seat is of:

1 - 0.3724 = 0.6276 = 62.76%.

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The data collected would be a categorized type.

Data refers to a collection of facts, observations, or measurements that have been gathered through various sources, such as experiments, surveys, observations, or other means. Data can be in various forms, including numbers, text, images, audio, or video, and it can be analyzed to gain insights, make predictions, or support decision-making processes.

Omar gathered what is known as categorical data, which is the month of each person's birth. Data that represents characteristics or qualities, such as categories or labels, is referred to as categorical data. The months of the year in this instance signify categories rather than quantifiable numerical values. As a result, the data gathered would be categorized.

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The range of the scores is 10

The range of scores is the difference between the lowest and the highest score.

Given that the scores are: 12, 10, 14, 16, 20, and 18

The lowest score is 10, and the highest score is 20

[tex]\text{Range} = 20 - 10[/tex]

[tex]\boxed{\bold{= 10}}[/tex]

Therefore the range of the scores is 10

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The surface area of the solid created upon dilation is equal to 57.5 units².

In Mathematics and Geometry, the surface area (SA) of a cuboid can be calculated by using this mathematical equation (formula):

SA = 2(lb + bh + hl)

Where, h represents the height.

r represents the radius.

By substituting the given parameters into the formula for the surface area (SA) of a cuboid , we have the following;

SA = 2(lb + bh + hl)

SA = 2(9 x 5 + 5x 5 + 9 x 5)

SA = 2(45 + 25 + 45)

SA = 2 (90 + 25)

SA = 230 units²

After applying a dilation with a scale factor of 1/2, the surface area of the cuboid is given by;

Surface area = 230 × (1/2)²

Surface area = 230 × 1/4

Surface area = 57.5 units²

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