1. Given the following set of values, what two numbers would you subtract to find the interquartile range?
17 21 19 23 16
22 19 20 24 18
22 minus 18
22 minus 16
O24 minus 16
24 minus 19
Answers
The two numbers that you would subtract to find the interquartile range (IQR) of the set of values are: A. 22 - 18.
What is the Interquartile Range of a Data Set?The interquartile range (IQR) = Upper quartile (Q3) = lower quartile (Q1).
Given the data set, 17, 21, 19, 23, 16, 22, 19, 20, 24, 18, we have the following:
Upper quartile (Q3): 22 (center of the second half of the data)
Lower quartile (Q1): 18 (the middle/center of the first part of the data)
Interquartile range (IQR) = 22 - 18
Interquartile range (IQR) = 4
Therefore, the two numbers that you would subtract to find the interquartile range (IQR) of the set of values are: A. 22 - 18.
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Related Questions
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).
What is the range of the function f(x) = 3x2 + 6x – 8?
{y|y ≥ –1}
{y|y ≤ –1}
{y|y ≥ –11}
{y|y ≤ –11}
TIME REMAINING
22:14
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
Answers
1) (c) The range of the function f(x) = 3x² + 6x - 8 is {y|y ≥ –11}.
2) (d) The x-intercepts of the graph of the function f(x) = x² + 4x - 12 are ( - 6, 0) and ( 2, 0 ).
1). A parabola opens upward and it passes through ( - 3, 0) and ( 1, 0), and has vertex at ( - 1, - 11 ).
We have the function for the parabola f(x) = 3x² + 6x - 8.
Vertex and the coefficient of the quadratic term are two features of a parabola that aid in determining its range.
Therefore, the critique point of the range and a portion of the constraint is the vertex's vertical coordinate. The next step is to determine if the parabola is concave up or down. The parabola is concave up in this issue if the coefficient of the quadratic terms is positive. As a result of the parabola's concave upward shape, all real numbers greater than - 11 fall into the function's permissible range.
Hence, the range of the function is {y|y ≥ –11}.
2). The graph of the function with the equation f(x) = x² + 4x - 12 is a parabola that opens upward, passes between the points ( - 6, 0) and ( 2, 0), and its vertex is at ( - 6, 0). ( - 2, - 16). It is the y-intercept ( 0, - 12).
The x-intercepts are the locations where the graph and x-axis meet. The y-coordinate of these points is always zero. A parabola can only have two x-intercepts at most. As we can see, the parabola passes through the points ( - 6, 0) and ( 2, 0), and have y coordinates 0, hence the x-intercepts are ( - 6, 0) and ( 2, 0).
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The complete question is mentioned below:
1. On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).
What is the range of the function f(x) = 3x² + 6x – 8?
(a) {y|y ≥ –1}
(b) {y|y ≤ –1}
(c) {y|y ≥ –11}
(d) {y|y ≤ –11}
2. On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).
What are the x-intercepts of the graph of the function f(x) = x² + 4x – 12?
(a) (-6, 0), (2,0)
(b) (-2, -16), (0, -12)
(c) (- 6, 0), ( - 2, - 16),
(d) ( 2, 0) (0, -12),
(e) ( - 6, 0), (2, 0)
given the data in the table below, determine the value of a and b in the model y = a +bx and hence find the value of y when x = 12
X 2 3 4 5 6 8
Y 5 6 8 9 10 12
Answers
The equation that models the data will be y = 3 + x and for x = 12, y will be 15.
We are given the equation:
y = a + b x
Also, we have some points of the equation as:
X 2 3 4 5 6 8
Y 5 6 8 9 10 12
For the point ( 2 , 5 ), we have the equation as:
5 = a + b ( 2 )
5 = a + 2 b
a = 5 - 2 b …(1)
For the point (3 , 6), we have the equation as:
6 = a + b (3)
6 = a + 3 b
a = 6 - 3 b …(2)
From (1) and (2), we get that:
5 - 2 b = 6 - 3 b
3 b - 2 b = 6 - 5
b = 1
a = 5 - 2
a = 3
So, the equation will become:
y = 3 + x
For x = 12, we get the value of y as:
y = 3 + 12
y = 15
Therefore, we get that, the equation that models the data will be y = 3 + x and for x = 12, y will be 15.
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There are 5 one-digit numbers in a set of data. The mean is 3, the mode is 1, and the median is 4. What are the numbers in the set of data?
Answers
Not sure what else it could be
Kelly works four hours a day on tickets and solves on average 38 tickets per day. Brian works five hours per day and solves 45 tickets per hour. Marvin works six hours a day on tickets and solves on average 59 tickets per day. Linda works five and a half hours a day on tickets and solves 53 tickets per day. Who solves the most tickets per hour?
Answers
Answer:
Marvin
Step-by-step explanation:
Kelly works four hours a day on tickets and solves on average 38 tickets per day.
38 tickets / 4 hours = 9.5 tickers per hour
_____________________
Brian works five hours per day and solves 45 tickets per hour.
45 tickets / 5 hours = 9 tickers per hour
_____________________________
Marvin works six hours a day on tickets and solves on average 59 tickets per day.
59 tickets / 6 hours = 9.83333 tickers per hour
______________________
Linda works five and a half hours a day on tickets and solves 53 tickets per day.
53 tickets / 5.5 hours = 9.6363637 tickers per hour
Who solves the most tickets per hour? Marvin at 9.833 tickets an hour
Simplify the following expression:
3[(x³ -7x+1)-(x+4)]
Answers
It is most likely 3x^3 - 24x - 9
(^3 is to the third power btw)
Sorry my handwriting is super bad lolll
that’s a vague explanation but it might help just to write it down :)
10. f(3)=2x-5 Evaluate the function.
Answer should be written: f(3)=?
Type a response
2/1
Answers
The evaluation of function will give the result f(3) = 1
To find the value of function given in question, we will simply keep the desired value in place of variable x.
Rewriting the equation
f(3) = 2x - 5
Keep the value of x in equation, as given in question
f(3) = 2×3 - 5
Performing multiplication to find the value of x in equation given in question
f(3) = 6 - 5
Performing subtraction to find the value of x in equation given in question
f(3) = 1
Therefore, the result of evaluation of given function is f(3) = 1.
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Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $110 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2200. How long did each mechanic work?
Answers
Answer:
25 Hours
Step-by-step explanation:
It says it in the text
Graph the following line
X=0
Answers
Answer:
the line runs that aligns with the y-intercept
Step-by-step explanation:
Bryan, Michael, and Han are painting a house. Working together, they can paint the house in 6 hr. Working alone, Bryan can paint a similar sized house in 15 hr and Han can paint a similar sized house in 18 hr. How many hours would it take Michael to paint a similar sized house working alone? Enter the answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
11x+90=15x
The computation shows that Michael will take 22.5 hours to paint a similar sized house working
How to compute the value?Based on the information given, the appropriate equation to use will be:
= 1/15 + 1/18 + 1/Michael = 1/6
Add the two fractions on the left
11/90 + 1/Michael = 1/6
1/Michael = 1/6 - 11/90
Take the reciprocal
Michael = 45/2
Michael= 22.5
Michael will take 22.5 hours.
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You are to move from A to B, always moving
right or down along the lines. On how many
different paths can you go? [The number of paths
from A to various intersections has been included.
Answers
Answer:
70
Step-by-step explanation:
You want the number of paths from corner to corner on a 5×5 grid with no backtracking.
Pascal's triangleThe geometry of the problem matches that of Pascal's triangle, attached.
In the attached figure, the value at each node is the sum of the values above and to the left. This matches the counting process for paths that can be used to get to any particular point on the grid: the total number of ways to get there is the sum of the ways it can be approached from above and the ways it can be approached from the left.
The given grid has some numbers filled in. If we continue to assign values to nodes that are the sum of the values above and to the left, we find the node values match the upper left 5×5 array of values in the attachment.
The value at the lower right corner of that array is 70. That is, ...
there are 70 ways to get from A to B.
__
Alternate solution
The path taken will always have 8 steps. Of those, 4 must be to the right, and 4 must be down. The number of ways we can choose 4 of those 8 steps to be steps to the right is "8 choose 4" ...
C(8,4) = 8!/(4!(8-4)!) = (8·7·6·5)/(4·3·2·1) = 70
Of course, using Pascal's triangle is simply another way to find the value of C(n,k).
Given m n, find the value of x.
Answers
if two lines are parallel then the corresponding angles are same
The value of x from the given parallel lines, using corresponding angles concept, we get 32°.
Given that, straight line m parallel to straight line n and t is the transversal.
The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Here, x°=32°
Therefore, the value of x from the given parallel lines is 32°.
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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!!!
Answers
The residual plot represents a linear model because (a) there is no clear pattern
How to determine the if the residual plot represents a linear model?The given parameters are:
The graph
The table
For a residual plot to represent a linear model, the following must be true
The points on the residual plot must be randomly dispersed on the plot
This means that all residual plots that have random points are linear models
From the attached graph, we can see that the points on the graph are randomly dispersed
Hence, the residual plot represents a linear model because (a) there is no clear pattern
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Write an algebraic expression for the verbal description.
The discount d is 40% of the list price L.
Answers
Answer:
D = 0.4(L)
Step-by-step explanation:
D = 0.4(L)
Answer: 0.4L=d
Step-by-step explanation:
40%=0.4
0.4L=d ==> 40% of L, the listed price, is d, the discount.
1 + ((-2 / 3) - ((-9 / 2)
Answers
Use mental math strategies to solve the equation.
3,500 +
Choose...
= 3,500
Part B
Which property of addition does the equation show?
A.
Associative Property of Addition
B.
Commutative Property of Addition
C.
Distributive Property of Addition
D.
Identity Property of Addition
Answers
Answer:
the answer would be A
Date
11. Write the fraction below as a decimal rounded
to the nearest hundredth.
25
7
Answers
Answer:
3.57
Step-by-step explanation:
25/7 is the same as 25÷7 which is 3.57
Solve the following inequality algebraically.
x²-16x +60 ≥ 0
Answers
Answer:
[tex] \sf \large \: x≤6 \: or \: x≥10[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2−16x+60≥0
Let's find the critical points of the inequality.
x2−16x+60=0
(x−6)(x−10)=0(Factor left side of equation)
x−6=0 or x−10=0(Set factors equal to 0)
x=6 or x=10
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤6(Works in original inequality)
6≤x≤10(Doesn't work in original inequality)
x≥10(Works in original inequality)
Write a function g whose graph represents the
indicated transformation of the graph of f.
f(x)=2x-9; translation 6 units up
The translated function is g(x) =
Answers
Answer: g(x)=2x-3
Step-by-step explanation:
f(x)=2x-9
g(x)=2x-9+6 ==> Translate 6 units up
g(x)=2x-3
18. The length of a rectangle is 7 cm more than the width. The perimeter is 78 cm. Find the rectangle's dimensions. What would be the formula to solve this?
Answers
The length of the rectangle is 21 cm and the width is 16 cm.
What is a rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The perimeter of the rectangle is defined as the sum of all the sides of the rectangle.
The formula to calculate the perimeter is,
P = 2 ( L + W)
Here
P = Perimeter
L = length of the rectangle
W = Width of rectangle
Given that the length of a rectangle is 7 cm more than the width. The perimeter is 78 cm.
The equations can be formed as,
L = 7 + W
P = 2(L+W)
78 = 2 ( 7 + W + W )
39 = 7 + 2W
W = 32/2
W = 16 cm
L = 7 + W
L = 7 + 16 = 21 cm
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You need to make 12 servings of fried fish. Each serving takes 7.5 ounces of flour. How many ounces of flour do you need?
Answers
7.5 x 12 = 900.
1 serving = 7.5 ounces of flour
the answer is 90
what is eight times the square a number z minus three in mathematical translate?
Answers
Answer:
8*z^2-3
Step-by-step explanation:
In Exercises 11 and 12, find m/1, m/2, and m/3.
Explain your reasoning.
Answers
Answer:
11
m/1= 100, m/2 = 80, m/3 = 100
12
m/1 = 47, m/2= 133, m/3=47
Step-by-step explanation:
Number 11 uses Cointerior angle rule
Number 12 uses Cointerior angle rule and Corresponding angle rules
The telephone company offers two billing plans for local calls. Plan 1 charges $21 per month for unlimited calls and Plan 2 charges $15 per month plus $0.06 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
a. Let x represent the number of monthly calls.
Answers
Answer:
Step-by-step explanation:
The number of monthly calls for which Plan 1 is more economical than Plan 2 is 200 calls
If more than 200 calls are made, the plan 1 charge will be more than plan 2.
Let the number of charges per month be x
If plan 2 charges $16 per month plus $0.04 per call, this is expressed as 0.04x + 16
Price that pan 1 charges = $24
If Plan 1 is more economical than Plan 2, this is expressed as:
0.04x + 16 > 24
Subtract 16 from both sides:
0.04x + 16 - 16 > 24 - 16
0.04x > 8
x = 6/0.04
x = 200
This shows that if more than 200 calls are made, the plan 1 charge will be more than plan 2.
Urgent (I added 35 points)
The diagram below is drawn on a one-centimetre square grid
Work out the area of the shaded triangle:
Answers
Answer:
rr
Step-by-step explanation:
xd
ddddd
Write a one-variable equation or inequality with variables on both sides to describe the problem situation. Complete Steps 1 - 3 in order.
Two drones are descending from the sky in vertical lines. A black drone is currently at an altitude of 1,170 feet and is dropping at a rate of 64 feet per minute. A white drone is at an altitude of 966 feet and is dropping at a rate of 52 feet per minute. How many minutes will it take for the two drones be at the same altitude? Use the variable `n` to represent the unknown quantity.
Answers
The number of minutes that it will take for the two drones be at the same altitude is 17 minutes.
How to illustrate the information?It should be noted that ablack drone is currently at an altitude of 1,170 feet and is dropping at a rate of 64 feet per minute. The expression will be:
1170 - 64m
The white drone is at an altitude of 966 feet and is dropping at a rate of 52 feet per minute. This will be 966 - 52m where m = number of minute
Therefore, we will equate both equations. This will be:
1170 - 64m = 966 - 52m
Collect like terms
-64m + 52m = 966 - 1170
12m = 204
Divide
m = 204 / 12
m = 17
Therefore, the number of minutes that it will take for the two drones be at the same altitude is 17 minutes.
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I don't have many points but I will make brainliest, thank you !!
Answers
Answer: The answer for question 48. is -9, The answer for question 49. is 1/2, the answer for question 50. is -2.25, and for question 51 it's 4/5
Step-by-step explanation:
How to solve question 48
1/2(-12-6)-3(5-3)
-6+3-15+9
-3-6
-9
How to solve question 49
(20/2)+10/(-10+20+30)
10+10/40
20/40
1/2
How to solve question 50.
3/4(-15+4)+(8+7)/(-3)
-45/4+3+15/-3
-11.25+3+15/-3
6.75/-3
-2.25
How to solve question 51
5(7)-(3+4)/-2^2-2^2+3^2
35-7/4+4+27
28/35
4/5
Hope this helped owo
Select all the equations that have the same as 3x - 12 = 24
Answers
The equations that have the same solution as 3x - 12 = 24 include:
a. 15x - 60 = 120C. 3x = 36d. x - 4 = 8Given data
3x - 12 = 24
How to find the solution of the given expression3x - 12 = 24
3x = 24 + 12
3x = 36
x = 36 / 3
x = 12
substituting the value of x in the equations to get to check if the value is same for the given question
a. 15x - 60 = 120
15 * 12 - 60 = 120
180 - 60 = 120
120 = 120 correct
b. 3x=12
3 * 12 = 12
36 ≠ 12 incorrect
C. 3x = 36
3 * 12 = 36
36 = 36 correct
d. x - 4= 8
12 - 4 = 8
8 = 8 correct
e. 12x - 12 = 24
12 * 12 - 12 = 24
144 - 12 = 24
132 ≠ 24 incorrect
Hence we can say that the equations that have same solution as the given equation are options A, C, and D
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complete question
The complete question is attached
The governor of state A earns $47,535 more than the governor of state B. If the total of their salaries is $299,115, find the salaries of each.
Answers
$251,580/2 = $125,790
State A = $173,325
State B = $125,790
Which expression represents 7/21
Answers
Simplified is 1/3 but the number is 0.3 recurring
The composite bar chart Messages received shows the number of messages Tim received each day for five days.
a) How many texts did Tim receive on Monday?
b) How many emails did Tim receive on Thursday?
c) In total, what fraction of the messages were emails?
Give your answer in its simplest form.
Answers
We need to know about a composite bar chart to solve the question. The answer for (a) is Tim received 8 texts on Monday, (b) Tim received 4 emails on Thursday and (c) 0.52 of the messages were emails.
A composite bar chart is used when there are two sets of data that are connected and their frequencies are combined.In this question there are two sets of data emails and texts but both of them belong to the same category which is messages. For question (a) we can easily say from the diagram that the number of texts Tim received on Monday is 8.
For question (b) we need to find out the number of emails Tim received on Thursday, for this we have to look at the bar for Thursday and subtract the number of texts received from total number of messages to get the number of emails received that means, 15-11=4, so Tim received 4 emails on Thursday.
For question (c) we need to find the total number of messages received by Tim for five days, total number of emails received and then calculate the fraction of emails out of messages.
Total number of messages=14+16+14+15+14=73
Total number of emails=6+10+10+4+8=38
Fraction of emails over messages=[tex]\frac{38}{73}[/tex]=0.52
Thus 0.52 of the messages were emails.
We analysed the composite bar chart to find out the answers of the three questions, Tim received 8 texts on Monday,4 emails on Thursday and 0.52 of the messages were emails.
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Answer:
a= 5
b= 7
c=
Step-by-step explanation: