The radius of a circles is 5.24 ft. Determine the circumference of the circle.

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

Learn more about box-and-whisker plots on:

brainly.com/question/27849170

#SPJ1

Answer:

Let’s let mZB = x. mZA + x = x + mZC. Now let’s solve the x’s cancel out each other so that makes it mZA = mZC

(Honestly there’s not much more I can say about this)

By transitive property we have shown that if angles ∠A + ∠B = ∠B + ∠C, then ∠C = ∠A.

An angle is formed when two straight lines or rays meet at a common endpoint.

We are given that ∠A + ∠B = ∠B + ∠C.

We can simplify this expression by subtracting ∠B from both sides to obtain ∠A = ∠C.

This is because ∠B + ∠C - ∠B simplifies to ∠C, and ∠B + ∠A - ∠B simplifies to ∠A.

Therefore, ∠A = ∠C, which proves the statement.

We can also use the transitive property of equality to prove this statement.

∠A + ∠B = ∠B + ∠C

we can subtract ∠B from both sides to obtain ∠A = ∠C.

Then, using the transitive property of equality, we can substitute ∠C for ∠A to obtain ∠C = ∠A, which proves the statement.

Therefore, we have shown that if angle ∠A + ∠B = ∠B + ∠C, then ∠C = ∠A.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ5

Answer: -3

Step-by-step explanation:

The common ratio of the geometric sequence –4, 12, -36,... is -3.

12/(-4) =-3

-36/(12) = -3

They both multiply -3 for the next number.

Answer:

9\(x^{3}\)-x-6

Step-by-step explanation:

Answer:

=9x3−x−6

Step-by-step explanation:

7x3−4x−8+2x3+3x+2

Let's start by declaring our varibles.

x = number of lawns Mr. Brust mowed

y = total amount of money Mr. Brust made

Let's create our equation.

y = 15x + 55

For part b, we can plug 800 in for y.

800 = 15x + 55

Subtract 55 from both sides.

745 = 15x

Divide both sides by 15

50 = x. Note, I rounded the answer to the nearest integer.

For part c, we can plug 13 in for x.

y = 15(13) + 55

Simplify the right side of the equation.

y = 250

Create a quadratic function in one of the forms and show how to convert it to the other two forms.

Step-by-step explanation:

1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.

2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.

3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.

The vertex of the parabola is written as (h, k) where b is the x - coordinate and c - is the y - coordinate

Answer: ANSWER DOWN BELOW

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Answer: +5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer: 20%

Step-by-step explanation: it’s easy

The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

To know more about statistics visit:

https://brainly.com/question/29093686

#SPJ1

Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

To learn more about descriptive statistics, visit:

https://brainly.com/question/6990681

#SPJ1

Answer:

You will pay $18.69 for a item

Step-by-step explanation:

if you buy an item at $74.75 with 75% discount, you will pay 74.75 - 56.0625 = 18.69 dollars.

Answer:

$299

Step-by-step explanation:

The discount is 75%, so the sale price represents 25% of the original price.

25% : $74.75

(multiply both sides by 4 to get 100%)

100% : $299

Answer:

She receives 700 country A dollars.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

1.4 country a dollars Per country B dollar

She exchanges 500 country B dollars, so:

1.4 country A dollars - 1 country B dollar

x country A dollars - 500 country B dollars

Applying cross multiplication:

\(x = 1.4*500 = 700\)

She receives 700 country A dollars.

Answer:

classroom D

Step-by-step explanation:

i did it by how much people votes yes out of the whole groups and Group D has 15 out of 20

Answer:

a, b, and c are parallelograms.

Step-by-step explanation:

d is not one as it has 5 sides,

e is not a parallelogram because it is a triangle, and has 3 sides

hope this helps :D

Answer:

A, B and C

Step-by-step explanation:

A, B and C are parallelograms.

Answer:

which is honestly what am saying yes

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

Answer:

21d+12e

Step-by-step explanation:

I'm pretty sure thats it if its expanding.

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Learn more about triangles here:

https://brainly.com/question/30104125

#SPJ1

Answer:

14\(p^{2}\) + 14p

Step-by-step explanation:

to expand, multiply 2p with 7p which gives you 14p^2

then,

multiply 2p by 7 = 14p

Answer:

0.2209 = 22.09% probability that in a randomly selected office hour, the number of student arrivals is 3.

Step-by-step explanation:

We have the mean during an interval, so the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

A statistics professor finds that when she schedules an office hour for student help, an average of 3.3 students arrive.

This means that \(\mu = 3.3\)

Find the probability that in a randomly selected office hour, the number of student arrivals is 3.

This is P(X = 3). So

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 3) = \frac{e^{-3.3}*3.3^{3}}{(3)!} = 0.2209\)

0.2209 = 22.09% probability that in a randomly selected office hour, the number of student arrivals is 3.

Option A) is correct

There is only one solution: x = 1. The solution x = 3 is an extraneous solution.  

Solution :

Given Equations:

\(\frac{1}{x} +\frac{1}{1-x} =\frac{x-2}{y-3}\)

solving The given Equation have :

\(\frac{1}{x}+ \frac{1}{x-3} =\frac{x-2}{y-3}\)

\(\frac{2x-3}{x(x-3)} =\frac{x-2}{y-3}\)

\(2x-3=x^{2} -2x\)

\(x^{2} -4x+3=0\)

\(x^{2} -x-x3+3=0\)

\(x(x-1)-3(x-3)=0\\x-3)(x-1)=0\\x=1,x=3\)

Extraneous solutions:

Due to its exclusion from the original equation's domain, an auxiliary solution is not a root of the original equation.

We may get this conclusion, but we cannot accept it as a conclusion since it is insufficient.

However, x = 3 cannot be a solution to the preceding equation because it produces a denominator of zero when used in the provided equation.

As a result, the following equation's solution is x = 1, while its superfluous solution is x = 3.

To Learn More about Extraneous solutions: : https://brainly.com/question/15395568

#SPJ1

Answer:

0.3125

Step-by-step explanation:

5/16 as a fraction

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

Learn more on the rotation of plane figures here: https://brainly.com/question/12688268

#SPJ1

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Let's begin by listing out the information given to us:

Principal (p) = $20,000

Interest rate (r) = 5.2% = 0.052

Number of compounding (n) = 2 (semi annually)

Time (t) = 3 years

The total return is calculated as shown below:

A = p(1 + r/n)^nt

A = 20000(1 + 0.052/2)^2*3 = 20000(1 + 0.026)^6

A = 20000(1.1665) = 23,330

A = $23,330

Answer:

The answer is 5/6

Step-by-step explanation:

To get this answer u minus 2/3 from 1 1/2,u get 5/6.Then if u add 5/6 and 2/3 u get 1 1/2 so this tells u your answer is 5/6

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ1

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

This is called testing hypotheses about β, the population regression co efficient.

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is ∝=0.1 and ∝/2 is 0.05

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.