Tom and Susan park at different lots.
To see which lot is busier, they count the numbers of cars in the lots each day as they arrive.
Their data are shown in the box plots.
the questions to compare the variabilities of the data sets.
1. What is the interquartile range for Tom's data? Explain how you found the interquartile range.
Write your answer in the space below.
1
Answers
Answer:
Tom = 5
Susan = 3
Step-by-step explanation:
FROM THE BOXPLOT :
Tom's IQR :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 9 - 4
IQR = 5
SUSAN :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 8 - 5
IQR = 3
Related Questions
[tex] \sf \red{Help \: help \: help \: help \: I'm \: desperate - . - }[/tex]
Answers
Step-by-step explanation:
1)
7x+20°+3x=180°{straight angle}
10x=180-20
x=160/10
x=16°
again,
y=7x+20{vertically opposed angle r equal}
7×16+20132°stay safe healthy and happy.Answer:
1. x = 20
y = 120
2. x = 263
Step-by-step explanation:
•••
As AOB is a line,
( 7x - 20 ) + 3x = 180
7x - 20 + 3x = 180
10x - 20 = 180
10x = 180 + 20 = 200
10x = 200
x = 200/10 = 20
Then, as COD is a line,
y + 3x = 180
y + 3(20) = 180
y + 60 = 180
y = 180 - 60 = 120
•••
2. Draw a parallel line AB and CD.
Then,
Angle BAE + Angle y = 180 [Co-interior angles]
56 + y = 180
y = 180 - 56 = 124
Angle DCE + Angle z = 180
41 + z = 180
z = 180 - 41
z = 139
Now, z + y = 139 + 124 = 263
[tex][/tex]
“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”
Answers
Answer:
36 and 72
Step-by-step explanation:
please help. no links. need answers for all questions :))
Answers
Answer:
1. The surface area of the cube is 324 square units
The volume of the cube 360 unit cube
2. The surface area of the cylinder is approximately 169.65 square units
The volume of the cylinder is approximately 169.65 unit cube
3. The surface area of a square pyramid is 360 square units
The volume of the square pyramid is 400 unit cube
4. The surface area of a cone is approximately 452.39 square units
The volume of the cone is approximately 50.27 unit cube
5. The surface area of the triangular prism is 240 square units
The volume of the triangular prism is 180 unit cube
6. The surface area of the sphere is approximately 804.25 square units
The volume of the sphere is approximately 2.144.66
7. The surface area of the composite figure is approximately 653.46 square units
The volume of the composite figure is approximately 1,474.45 unit cube
Step-by-step explanation:
1. The surface area of the figure, SA = 2 × (w·h + l·w + h·l)
Where;
w = The width of the figure = 6
l = The length of the figure = 12
h = The height of the figure = 5
We get;
SA = 2 × (6 × 5 + 12 × 6 + 5 × 12) = 324
The surface area of the figure, SA = 324
The volume of the figure, V = l × w × h
∴ V = 12 × 6 × 5 = 360
The volume of the figure, V = 360
2. The surface area of a cylinder, SA = 2·π·r² + 2·π·r·h
The radius of the given cylinder, r = 3
The height of the given cylinder, h = 6
∴ SA = 2×π×3² + 2×π×3×6 ≈ 169.65
The surface area of the cylinder, SA ≈ 169.65
The volume of a cylinder, V = π·r²·h
∴ V = π×3²×6 ≈ 169.65
The volume of the cylinder, V ≈ 169.65
3. The surface area of a square pyramid, SA = b² + 4·(1/2)·b·√((b/2)² + h²)
Therefore, for the given square pyramid, we have;
SA = 10² + 4×(1/2)×10×√((10/2)² + 12²) = 360
The surface area of a square pyramid, SA = 360
The volume of a square pyramid, V = (1/3) × Area of Base × Height
Therefore, or the given pyramid we have;
V = (1/3) × 10² × 12 = 400
The volume of the square pyramid, V = 400
4. The surface area of a cone, SA = π·r·(r + l)
Where;
The radius of the cone = r
The slant height of the cone, l = 10
The height of the cone, h = 6
∴ The radius of the cone, r = √(10² - 6²) = 8
∴ SA = π×8×(8 + 10) ≈ 452.39
The surface area of a cone, SA ≈ 452.39
The volume of the cone, V = (1/3) × π·r·h
∴ V = (1/3) × π × 8 × 6 ≈ 50.27
The volume of the cone, V ≈ 50.27
5. The surface area of the triangular prism, SA = 2 × (1/2)× b·h + b·w + h·w + w·l
Where;
b = The base length of the triangular surfaces = 5
h = The height of the triangular surfaces = 12
w = The width of the triangular prism = 6
l = The slant length of the prism = 13
Therefore;
SA = 2 × (1/2)× 5 × 12 + 5 × 6 + 12 × 6 + 6 × 13 = 240
The surface area of the triangular prism, SA = 240
The volume of a triangular prism, V = (1/2)·b·h·w
V = (1/2) × 5 × 12 × 6 = 180
The volume of the triangular prism, V = 180
6. The surface of a sphere, SA = 4·π·r²
Where;
r = The radius of the sphere = 8
∴ SA = 4 × π × 8² ≈ 804.25
The surface area of the sphere, SA ≈ 804.25
The volume of a sphere, V = (4/3)·π·r³
∴ V ≈ (4/3)×π×8³ ≈ 2,144.66
The volume of the given sphere, V ≈ 2.144.66
7. The figure is a composite figure made up of a cone and an hemispher
The surface area of the cone shaped part of the figure, SA = π·r·l
Where;
r = The radius of the cone = 8
l = The slant height of the cone = 10
∴ SA₁ = π × 8 × 10 ≈ 251.34
The surface area of the cone shaped part of the figure, SA₁ ≈ 251.34
The volume of the cone, V₁ = (1/3)·π·r²·h
Where;
h = The height of the cone = √(10² - 8²) = 6
∴ V₁ = (1/3) × π × 8² × 6 ≈ 402.12
The volume of the cone, V₁ ≈ 402.12
The surface area of the hemisphere, SA₂ = 2·π·r²
∴ SA₂ = 2 × π × 8² ≈ 402.12
The surface area of the hemisphere, SA₂ ≈ 402.12
The volume of a hemisphere, V₂ = (2/3)·π·r³
∴ V₂ = (2/3) × π × 8³ ≈ 1072.33
The volume of a hemisphere, V₂ ≈ 1,072.33
The surface area of the composite figure, SA = SA₁ + SA₂
∴ SA = 251.34 + 402.12 = 653.46
The surface area of the composite figure, SA ≈ 653.46
The volume of the composite figure, V = V₁ + V₂
∴ V = 402.12 + 1,072.33 = 1,474.45
The volume of the composite figure, V ≈ 1,474.45.
Rachel has just completed a study of precipitation in three different locations over the course of a year. The data she wishes to present in graph form is shown in the table below, with precipitation listed in inches. Boston Phoenix Minneapolis January 3.27 0.45 1.04 February 3.44 0.48 .76 March 3.10 0.71 1.12 April 3.89 0.31 2.10 May 3.75 0.17 3.15 June 3.12 0.09 5.11 July 2.98 0.11 5.78 August 3.07 0.33 4.65 September 3.15 0.52 3.61 October 3.55 0.40 3.22 November 3.42 0.42 2.34 December 3.44 0.29 1.84 Rachel wants her graph to emphasize the relation of each city’s precipitation to each other city’s at each point in time. What kind of graph would be appropriate? a. bar graph b. line graph c. pictograph d. histogram
Answers
Answer:
option 2 line graph
Step-by-step explanation:
100% on EDGE
Answer:
b
Step-by-step explanation:
How do you solve this problem ?
Answers
Answer: 2y124√y12
How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Have a great day and stay safe !
9514 1404 393
Answer:
[tex]2\cdot y^{\frac{5}{8}}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]
__
So, the given expression can be rewritten to ...
[tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]
_____
k = 2; n = 5/8
Find the midpoint M of CD
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Answers
Answer:
[tex] M = (-4, -5) [/tex]
Step-by-step explanation:
Given:
C = (-2, -10) and D = (-6, 0)
Required:
Midpoint M of segment CD.
Solution:
[tex] M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Where,
[tex] (-2, -10) = (x_1, y_1) [/tex]
[tex] (-6, 0) = (x_2, y_2) [/tex]
Plug in the values into the equation
[tex] M = (\frac{-2 + (-6)}{2}, \frac{-10 + 0}{2}) [/tex]
[tex] M = (\frac{-8}{2}, \frac{-10}{2}) [/tex]
[tex] M = (-4, -5) [/tex]
Which of the following pairs of triangles can be proven congruent through SSS?
A)
B)
C)
D)
Answers
what is the y intercept of 2(x-2)^2+3
Answers
Answer:
y intercept is 11 or (0,11)
Step-by-step explanation:
[tex]y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11[/tex]
if sides of a triangle have lengths 8 ft and 12 ft.
Answers
Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
Pls help! I need to show my work!
Answers
Answer:
Step-by-step explanation:
68 frefq4gtrhrsahhrhshrr
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answers
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
i need help pls!
this test is about angles, and i am having trouble with it.
Answers
Answer:
supplementary angle
Step-by-step explanation:
angles 6 and 8 are same side exterior angles
help I don't know the answer
Answers
p = 6,000
step-by-step explanation:
I = PRT
just add in the numbers
14,400 = p0.08(30)
14,400 = 2.4p
/2.4 /2.4
6,000 = p
properties of parallelograms
PLEASE HELP
Answers
Answer:
m∠Q = 109°
m∠QRT = 109°
x = 4
Step-by-step explanation:
1). "Opposite angles of a parallelogram are equal"
By this property,
m∠Q = m∠S = 109°
2). "Opposite sides of a parallelogram are parallel and equal in measure"
By this property,
RQ║ST and diagonal RT is a transversal line.
m∠QRT = ∠SRT = 30° [Alternate interior angles]
3). "Opposite sides of a parallelogram are parallel and equal in measure"
RS = QT
2x = 8
x = 4
Can someone please help me with this question please (sorry for bad photo quality)
Answers
Answer:
a) (-1/2,3/2)
Step-by-step explanation:
-3x = x + 2
4x + 2 = 0
4x = -2
x = -1/2
y = -3(-1/2) = 3/2
When
3(x)
= 4 is solved for x in terms of w and kits solution is which of the following?
Answers
In
any
School there are 7000
students 45%. are boys. How many
boys are there? How
many girls
are there
Answers
Answer: there are 3150 boys and 3850 girl
Step-by-step explanation:
45÷100×7000= 3150 and 7000- 3150 = 3850
Hope this helps!!
Please help!
If the angles of a triangle are represented by 3x + 9, 4x-3, and 8x -6, then the triangle is: 1) acute, right, or obtuse (choose one) 2) Equalateral, scalene, or isosceles (choose one)
Answers
Step-by-step explanation:
3x+9+4x-3+8x-6=180
15x=180
x=12
angle 1= 3x+9=36+9=45°
angle 2=4x-3=48-3=45°
angle 3=8x-6=96-6=90°
1) it's right triangle
2) it's isosceles triangle
Plz help me well mark brainliest if correct....???.
Answers
Answer:
C.18
Step-by-step explanation:
In the chart it shows that 18 boys like to read science fiction. Hope this helps :)
4. Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?
Answers
Answer:
361,899
hope this helps
Answer:
350,000
Step-by-step explanation:
1,500,000 - 1,138, 101 = 361,899
361,899 - 350,000 = 11,899
400,000 - 361,899 = 38,101
11,899 is less than 38,101
So, 350,000 is the answer.
The table describes the types of job openings available in a company.
What is the probability that experience is needed for a randomly selected job
opening, given that it is for part-time work?
Write the probability as a percent. Round to the nearest tenth if needed.
Part-time
Full-tme
6
2
Experience needed
No experience needed
8
9
Answers
Answer:
stop being lazy and do youre own work lol
Step-by-step explanation:
PLEASE HELP MEEEEEE!!!
Answers
Answer:
100
Step-by-step explanation:
Five friends take a maths test
Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores
Answers
Answer:
Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Step-by-step explanation:
Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be performed:
Adam + Brandon + Chen = 200
Damion + Erica = 150
Brandon + Chen + Damion = 215
Adam + Erica = 135
Chen + Damion + Erica = 224
Adam + Brandon = 126
Adam + Brandon = 126 + Chen = 200
Chen = 200 - 126
Chen = 74
Damion and Erica scored more than Chen
Chen + Damion + Erica = 224
74 + Damion + Erica = 224
Damion + Erica = 150
Damion = 75
Erica = 75
Brandon + Chen + Damion = 215
Brandon + 74 + 75 = 215
Brandon = 215 - 74 - 75
Brandon = 66
Adam = 350 - 75 - 75 - 74 - 66
Adam = 60
Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Can I get help with this question
Answers
The Sine Function
A sine curve is periodic. What does this mean?
a. the curve goes through one cycle and starts over
b. there is no pattern
c. the amplitude stays the same
d. one period equals 180 degrees
Please select the best answer from choices provided
Answers
Answer:
A. The curve goes through one cycle and starts over
Step-by-step explanation:
I calculated it logically
Which set of numbers could represent the lengths of the sides of a right triangle?
O 8, 9, 10
O 15, 18, 21
O 7, 24, 25
09. 11. 14
Answers
Answer:
7 24 25
because , according to Pythagorean triplet....
What is the volume of a sphere with a diameter of 32,5 m, rounded to the
nearest tenth of a cubic meter?
Answers
Answer:
V≈17974.16
Step-by-step explanation:
Using the formulas
V=4
3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·32.53≈17974.16422
The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?
Answers
To find this answer you divide. 75 divided by 15 equals 5.
Hope this helps!!
Answer:
O.5 cents each
Step-by-step explanation
You have to multiply 75 by 0.15
Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)
Answers
Answer: b is correct
Step-by-step explanation: i did this
The area of rectangle ABCD is 34 square unit.
What is Distance Formula?In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are
PQ = √(c- a)² + (d- b)²
We have Coordinates of rectangle
A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)
Using Distance Formula
AB = √ (3-4)² + (3+1)²
AB = √1 + 16
AB = √17 unit
Now, CB = √(-5-3)² + (1-3)²
CB= √ 64 + 4
CB = √68
CB = 2√17 unit
So, the area of Rectangle ABCD is
= l w
= √17 x 2√17
= 2 x 17
= 34 square unit
Learn more about Distance Formula here:
https://brainly.com/question/25841655
#SPJ7
Help!!!!!!!!! Help help help help