For the following data set, find Q1, Q2, Q3 and the interquartile range.

15, 12, 23, 15, 7, 8, 21, 10, 12, 14, 16, 24, 19

Answers

Answer 1

Answer: q1=11 q2=15 q3=20

Step-by-step explanation:


Related Questions

please help me thank you so much

Answers

1) E = 1/2F - E has half of what F has

2) 1/2F - half of what F has

The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?

Answers

The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.

What is the rate of change of a function?

The rate of change of a function is the rate at which the output value changes per unit change in the input value.

The possible data and table obtained from a similar question on the website are presented as follows;

Student A

Number of minutes;         [tex]{}[/tex]1              2             3              4

Number of words read; 150        [tex]{}[/tex]300          450          600

Student B

y = 158·x

Where;

x = The time duration in minutes

y = The number of words read by the student

Student C

The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)

The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;

Reading rate for Student A = (300 - 150)/(2 - 1) = 150

The reading rate for Student A is 150 words per minute

The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute

The of the straight ling graph for the reading rate of Student C is found as follows;

Slope = (420 - 280)/(3 - 2) = 140

The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute

The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute

Learn more about the slope of the graph of a function here: https://brainly.com/question/13434264

#SPJ1

Maria Brought 3 cakes of the same size for her birthday. half of one cake was left and one-third of qther. how much cake was left over altogether?​

Answers

Answer:

7/12 (seven over twelve)

Step-by-step explanation:

1/3 -1/4 =4/12- 3/12=1/12

1/2+1/12=6/12+1/12=7/12

so the answer is 7/12

hopefully this helps

its 9/16 close to 0, 1/2 or 1 explain

Answers

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!

A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?

Answers

The total length needed in inches will be 490.5 inches.

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long  The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Find the equation of a line that passes through the points (2,7) and (4,6). Leave your answer in the form y = mx + c​

Answers

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -1 }{ 2 } \implies - \cfrac{ 1 }{ 2 }[/tex]

[tex]\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}{7}=\stackrel{m}{- \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{2}) \\\\\\ y-7=- \cfrac{ 1 }{ 2 }x+1\implies {\Large \begin{array}{llll} y=- \cfrac{ 1 }{ 2 }x+8 \end{array}}[/tex]

Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.

Answers

Mary paid $3.80 per pound and Mark paid $4.00 per pound.

19 ÷ 5 = 3.80

16 ÷ 4 = 4

Mary's unit rate is less than Mark's unit rate.

How to calculate expression?

To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.

Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:

The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased

= $19 / 5 pounds

= $3.80 per pound

Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:

The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased

= $16 / 4 pounds

= $4.00 per pound

Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.

To know more about an expression follow

https://brainly.com/question/29286007

#SPJ2

What is the equation of the line that passes through the point (-4,-4) and has a
slope of -3/4?

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \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}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}[/tex]

Answer:

y = -3/4x - 7

Step-by-step explanation:

Given: slope = m = -3/4

Plug this value into the standard slope-intercept equation of y = mx + b.

y = -3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -3/4(-4) + b

To find b, multiply the slope and the input of x(-4)

-4 = 3 + b

Now, subtract 3 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -3/4x - 7

This is your equation.

Learn more with another example:

https://brainly.com/question/27643891

PLEASE HELP

All numbers less than 17 and greater than or equal to -8

Answers

Answer: C

Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17

Answer: 17>n ≥-8

1. All number less than 17 can write as n< 17

2. All numbers greater than or equal to -8 can written as n ≥ -8.

3. Flip n<17 so n can be in the middle of the inequality.

4. Combined it would be 17>n ≥-8

Autumn received $150 for her birthday this year.
This was $10 less than half the amount she
received last year. How much money did
Autumn receive for her birthday last year?
Write an equation to model this situation.
Let x = the amount of money Autumn received
last year

Answers

(150/2)-10=x
Autumn received $65 last year

If you work for an airline need to sit a passenger every 30 seconds. If the doors open at 9:35 am, what time does the last passenger sit if there are 110?

Answers

The answer i think is 10:30 am because you just have to multiply the number of seconds with people youll get 3,300 seconds divide that by the number of seconds are in a minute (60 seconds) then you’ll get 55 mins then its adding from there

Answer: 10:30 am

Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!

Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.

Answers

Answer:

  $202.30

Step-by-step explanation:

You want to know the value of a 20% tip on a bill of $1011.50.

Tip

The tip amount can be found by multiplying the bill amount by the tip percentage:

  20% · $1011.50 = $202.30

Lucas tipped the server $202.30.

__

Additional comment

You know that 10% of the amount can be found by moving the decimal point one place: $101.15.

20% of the amount will be double this value: $202.30. You can do this math mentally.

Draw a number line to show 2/8 and 4/16 are equivalent.

Answers

Step-by-step explanation:

think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.

Please help me asap

Answers

On solving the provided question, we cans ay that By unitary method, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

By unitary method,

original length of pipe = 3/9 inch

shortened length of pipe = 2/9

so, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Find the slope of the line passing through each of the following pairs of points. (–7, 1) (7, 8)

Answers

Use the equation Y2 - Y1/ X2- X1 = 7/14.

Answer:

1/2

Step-by-step explanation:

Slope(m)

= (y2 - y1)/(x2 - x1)

= (8 - 1)/(7+7)

= 7/14

= 1/2


What’s the answer ?
Solve |2x - 3| ≥7

Answers

Answer:

x ≤ −2 or x ≥ 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?

Answers

The pound of cement used based on the information will be C. 2 pounds.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.

The pound of cement used will be:

Gravel = 1 2/3 × 3

= 5 pounds

Cement used will be:

= 2/5 × 5.

= 2 pounds.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

72 ounces and 6 steaks = what rate and unit rate

Answers

the answer is 9oz/ per steak

A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of almonds and each pound of jelly beans.

Answers

To find the cost of each pound of almonds, we need to find the difference in the cost of the almonds between the two purchases and divide it by the difference in the number of pounds of almonds. In this case, the difference in the cost of the almonds is $31 - $12 = $19 and the difference in the number of pounds of almonds is 3 - 5 = -2 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/-2 = $-9.50 per pound. This means that the cost of each pound of almonds is $-9.50.

To find the cost of each pound of jelly beans, we can use a similar process. In this case, the difference in the cost of the jelly beans is $31 - $12 = $19 and the difference in the number of pounds of jelly beans is 8 - 2 = 6 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/6 = $3.17 per pound. This means that the cost of each pound of jelly beans is $3.17.

Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room

Answers

Tara will need gallons of paint

Please help im timed on this

Answers

The slope of the line is 1.25 and the value of x is 12.

What is slope of a line?

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. A line's slope provides information on the steepness and direction of the line. the angle at which two straight lines intersect.

Given that:

rise =10

run = 8

The slope is determined by the following formula:

Slope = Rise / Run

[tex]Slope = \frac{10}{8} = 1.25[/tex] .

The slope of a line equation is given by:

[tex]y_2 - y_1 = m (x_2-x_1)[/tex]

Here, m is the slope of the equation.

Substitute the value of [tex]m= \frac{10}{8}, y_2=21 , y1= 6, x_2 =x, x_1= 0[/tex] in the equation.

[tex]21-6 = \frac{10}{8}(x-0)\\ \\15= \frac{10}{8} (x)\\\\(15)(8) = 10x\\\\120=10x\\\\x=12[/tex]

Hence the value of x is 12.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

Answer:

The slope of the line is 1.25 and the value of x is 12.

Step-by-step explanation:

Can someone pls tell me how to do this?

Simplify (5y)³

Answers

Answer: 125y³

To rise a product to a power, rise each factor to that power:

(5y)³ = 5³y³ = 125y³

4. Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia. How much money does John have?​

Answers

To solve this problem, we can set up the following equation:

Torrie + John = Sonia - John

This equation represents the fact that John has the same number of dollars more than Torrie as he has less than Sonia. We can then substitute the given values for Torrie, Sonia, and John to solve for John:

430 + John = 760 - John

Combining like terms, we get:

2 * John = 330

Dividing both sides of the equation by 2, we get:

John = 165

Thus, John has $165.

Evaluate m - 16 when m = 30

Answers

[tex]m-16[/tex] when m is 30

Substitute for m with given value:

[tex](30)-16[/tex]

[tex]=\fbox{14}[/tex]

Answer:

Step-by-step explanation:

a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14

answer is 14

Select three correct interpretations about the graph of r(t).
T
A. The average mortgage rate increased continuously
between 2003 and 2005.
B. The average mortgage rate fell to a relative minimum
between 2002 and 2003.
C. Based on the y-intercept, the average mortgage rate in
2010 was about 7.7%.
X
D. Based on the absolute maximum, the average
mortgage rate was highest between 2006 and 2007.
E. An appropriate domain for this function is 0≤t≤10

Answers

Answer: The correct interpretations about the graph of r(t) are B, D, and E.

Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.

Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.

Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.

Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.

Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.

Step-by-step explanation:

Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

Answers

The required measure of the value of x is given as 2√3. Option A is correct.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.

here,
Consider the given triangle,

perpendicular = 6
base = x

Applying trigonometric operation,
tan30 = perpendicular/base
tan30 = 6/ x
x = 6/√3
x = 2√3

Thus, the required measure of the value of x is given as 2√3. Option A is correct.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ1

How do logarithmic functions model real-world problems and their solutions? Give a specific example and explain.

Answers

The process of logarithmic functions in real-worlds problems is given below.

And an example of an application of logarithmic function is given.

What is Logarithmic?

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

We know,

logarithmic function and exponential function are inverse of each other.

So, whenever we solve the exponential function,

we use the help of logarithmic functions.

To compute the number with bigger exponents,

we use the logarithms.

Because it reduces the size of the numbers.

Let the bacteria is growing exponentially,

b = 2ⁿ.

We know that the bacteria grows every hour.

We want to find time.

Here, we will use the inverse function to the exponential function.

How long will it take them to get 1000 bacteria?

1000 = 2ⁿ

Taking log on both sides,

log(1000) = n log2

n = log(1000)/log(2)

n = 9.96

n ≈ 10 hours.

Therefore, an application of logarithmic function is given above.

To learn more about the logarithms;

brainly.com/question/28346542

#SPJ1

The sum of the age of a girl and her brother is 34. The girl is 8 years older than her heather, how old is her brother​

Answers

Answer:

26

Step-by-step explanation:

if she is 8 years older, then is just 34-8 which is 26

The volume of this sphere is 4500m³.
Find the length of the radius, r.

Answers

Answer:

[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]  meters

[tex]r=10.24[/tex]  meters

Step-by-step explanation:

Here is the equation for the volume of a sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Lets solve for [tex]r[/tex].

Multiply both sides of the equation by [tex]\frac{1}{\frac{4}{3}\pi}[/tex].

[tex]\frac{1}{\frac{4}{3}\pi}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Simplify the left side.

Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].

[tex]\frac{1}{\frac{4\pi }{3}}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]\frac{3}{4\pi } (\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Cancel the common factor of [tex]\pi[/tex] by factoring it out of the first term.

[tex]\frac{3}{4} (\frac{4}{3}*r^3)=\frac{1}{\frac{4}{3}\pi}V[/tex]

Combine [tex]\frac{4}{3}[/tex] and [tex]r^3[/tex].

[tex]\frac{3}{4}*\frac{4r^3}{3}=\frac{1}{\frac{4}{3}\pi}V[/tex]

Multiply the numerators on the left side of the equation. Then multiply the denominators.

[tex]\frac{12r^3}{4*3}=\frac{1}{\frac{4}{3}\pi}V[/tex]

[tex]\frac{12r^3}{12}=\frac{1}{\frac{4}{3}\pi}V[/tex]

Cancel the common factor of 12.

[tex]r^3=\frac{1}{\frac{4}{3}\pi}V[/tex]

Simplify the right side.

Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].

[tex]r^3=\frac{1}{\frac{4\pi }{3}}V[/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]r^3=\frac{3V}{4\pi }[/tex]

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Now we have an equation to find the radius.

Substituting our number for volume gives us

[tex]r=\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]

Enter this into a calculator

[tex]\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]

You can leave the answer in simplest radical form or as a decimal.

[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]

[tex]r=10.24[/tex]

A rating/review would be much appreciated. Hope this helps!

Which of the following is the correct equation for the trend line in the scatter plot?

Answers

The equation of the trend line will be : Y = (1/4)x - 1.

What is trend line in scatter plots?A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all.

Given is a scatter plot a shown in the image.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

We can find the slope as follows. The line passes through the points -

(4, 0) and (0, - 1). We can write -

m = (- 1 - 0)/(0 - 4)

m = - 1/-4

m = 1/4

and

[c] = - 1

So the equation of the trend line will be -

Y = (1/4)x - 1

Therefore, the equation of the trend line will be : Y = (1/4)x - 1.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

#SPJ1

Other Questions
Find the slope (-7,4) and (-7,-8) Every tread of a staircase is 8 in. deep, and every riser is 6 in. high. How would you find the angle the staircase makes with the floor? Explain. A student carefully measures the time it takes for a turtle to move 10.0 m. He gets a value of 4218.6 s. However he discovers that the stopwatch had already been running for about 300 s before the turtle started to move. How long did it take the turtle to go 10.0 m What did the Disaster Recovery reform Act do? A 26 kg crate initially at rest on a horizontal floor requires a 70 N horizontal force to set it in motion. Find the coefficient of static friction between the crate and the floor. What kind of transformation converts the graph of f(x)= 2x10 into the graph of g(x)= 2x+10? Why were the Articles of Confederation replaced brainly? What is the meaning of travel allowance? Evan completed his math homework in 23 minutes. It took Troy 2 times as longto complete his math homework. How long did it take Troy to complete hishomework?minutes Which theory do you think might best match countries' need to provide economy security Need help :(( you can answer one or both of the questions Is 8 15 17 a right triangle? Imagine some cosmic catastrophe jolts Earth so that its axis is perpendicular to the orbital plane between Earth and the sun. The most obvious effect of this change would be ____. What is the first step to do in using substitution method? A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) representsthe first bus stop. The location of the second bus stop is determined using the same relationships asthose between the coordinates of the bus station and the first bus stop.City Bus StopsNorthChoose...1210-City Blocks6842N.Bus Station: increases by 2.2(7.6)increases by 4, and the(11,8)4 6 8 10 12City BlocksUse the drop-down menus to describe the relationships between the coordinates of the first and secondbus stop.The Choose...East (a) Express tan in terms of sec for in Quadrant II (b) Express sec in terms of sin for in Quadrant III Which entities offer certifications and qualifications in accounting that will help increase your future earning potential, deepen your knowledge, and enhance your credibility in the field? What can happen to the economy when the level of unemployment is very low? What types of jobs did women take on in support of the war effort? what is the best topic sentence for an informative paragraph written to support a controlling idea that compares and contrasts the monarch butterfly and the ruby-throated hummingbird.