The following table shows the number of hours some students in two universities spend reading each week: School A 7 2 3 10 17 14 10 22 2 School B 9 10 16 18 20 15 17 18 14 Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points) Part B: Are the box plots symmetric? Justify your answer. (4 points)
Answers
[tex]Q_{1} [/tex] is the lower quartile
[tex] Q_{2} [/tex] is the median
[tex]Q_{3} [/tex] is the upper quartile
School A:
Minimum value is 2
Maximum value is 22
The lower quartile is 2.5
The median is 10
The upper quartile is 15.5
School B:
Minimum value is 9
Maximum value is 20
The lower quartile is 12
The median is 16
The upper quartile is 18
The box plot for each school is shown in the second picture
Box plot for school A isn't symmetrical. The data tails on the right
Box plot for school B isn't symmetrical. The data tails on the left
Answer:
that persons work is correct im pretty sure
Step-by-step explanation:
Related Questions
monique deposited 1800 at the beginning of each quarter for 6 years into an ira. given an interest rate of 6% compounded quarterly find the value
Answers
The formula is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]×(1+r/k)
Fv future value?
PMT amount deposited 1800
R interest rate 0.06
K compounded quarterly 4
N time 6years
Fv=1,800×((((1+0.06÷4)^(4×6)
−1)÷(0.06÷4))×(1+0.06÷4))
=52,313.44....answer
Choose the graph below that correctly represents the equation 15x − 5y = 30.
will give brainiest to best answer!!
PLEASE HELP!!!
Answers
First, convert the equation into the form y=mx+b:
15x-5y=30
-5y=-15x+30
Divide both sides by -5.
y=-3x-6
Below is a graph of that equation:
Final answer:
To choose the correct graph that represents the equation 15x - 5y = 30, isolate y, find the slope and y-intercept, and compare to the given graphs.
Explanation:
In order to choose the correct graph that represents the equation 15x - 5y = 30, we need to solve the equation for y.
First, let's isolate y by subtracting 15x from both sides of the equation:
15x - 5y - 15x = 30 - 15x
-5y = -15x + 30
Next, divide both sides of the equation by -5 to find the value of y:
-5y/-5 = (-15x + 30)/-5
y = 3x - 6
Now that we have the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can determine the graph that represents the equation. The slope of the equation is 3, which means that for every 1 unit increase in x, y increases by 3 units. The y-intercept is -6, which means that the graph intersects the y-axis at the point (0, -6).
Based on this information, we can determine that the graph that correctly represents the equation 15x - 5y = 30 is the one where the slope is 3 and it intersects the y-axis at (0, -6).
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Greg is trying to solve a puzzle where he has to figure out two numbers, x and y. Three less than two-third of x is greater than or equal to y. Also, the sum of y and two-third of x is less than 4. Which graph represents the possible solutions?
Answers
(2/3)x - 3 ≥ y
or
y ≤ (2/3)x - 3 (1)
The second inequality is
y + (2/3)x < 4
or
y < 4 - (2/3)x (2)
A graph of the two inequalities indicates the solution as a shaded region in the figure below.
x plus 20% = 1980
what is x
Answers
x + 0.2x = 1980
1.2x = 1980
x = 1980/1.2
x = 1650 ← unknown number
Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by seven.
Answers
you simply come "clockwise" to get the negative angle.
and to get the positive angle, simply go around 2π and then add π/7 to it.
What is the amplitude, period, and phase shift of f(x) = -3 cos (4x + pi) +6?
Answers
(x) = -3 cos(4x + π) + 6
The amplitude is |-3| = 3
If T is the period, then
(2π)/T = 4
4T = 2π
T = π/2
The period is π/2.
The phase shift is -π/4.
The vertical shift is 6.
A graph of the function is shown below.
Answer:
Amplitude = 3.
Period = π/2.
Phase shift = -π/4
The amplitude, period, and phase shift are 9, [tex]\dfrac{\pi }{2} [/tex] and [tex]\dfrac{\pi }{4} [/tex] respectively.
Periodic functionA periodic function is a function that repeats itself after a definite time interval.
Given[tex]f(x) = -3cos(4x+\pi ) +6[/tex]
The cosine function is a periodic function that repeats itself in the interval of [tex]2\pi [/tex].
Step by step explanationFor maximun amplitude
[tex]cos(4x+\pi )=-1\\ [/tex]
Then
[tex]f(x)=3+6\\ f(x)= 9[/tex]
For time period
The cosine function repeats itself in the interval of [tex]2\pi [/tex].
[tex]\begin{aligned} \frac{2\pi }{T} &= 4 \\\\ T &=\dfrac{\pi }{2}\\ \end{aligned}[/tex]
For phase shift
Phase is [tex]\dfrac{\pi }{4} [/tex]
Thus, the amplitude, period, and phase shift are 9, [tex]\dfrac{\pi }{2} [/tex] and [tex]\dfrac{\pi }{4} [/tex] respectively.
To more about the Period function link is given below.
https://brainly.com/question/8636691
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Help, please!
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 16°23'. When the boat stops, the angle of depression is 49°29' . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
Answers
now, bear in mind that, there are 60minutes in 1 degree, so 23' is just 23/60 degrees or about 0.38 degrees.
and 29' is just 29/60 degrees or about 0.48 degrees.
so 16°23' is about 16.38°, and 49°29' is about 49.48°
[tex]\bf tan(16.38^o)=\cfrac{200}{a+b}\implies a+b=\cfrac{200}{tan(16.38^o)} \\\\\\ \boxed{b=\cfrac{200}{tan(16.38^o)}-a} \\\\\\ tan(49.48^o)=\cfrac{200}{b}\implies \boxed{b=\cfrac{200}{tan(49.48^o)}}\\\\ -------------------------------\\\\ \cfrac{200}{tan(49.48^o)}=\cfrac{200}{tan(16.38^o)}-a\\\\\\a=\cfrac{200}{tan(16.38^o)}-\cfrac{200}{tan(49.48^o)}[/tex]
make sure your calculator is in Degree mode.
The distance covered by the boat is [tex]\boxed{489.67{\text{ feet}}}.[/tex]
Further explanation:
The Pythagorean formula can be expressed as,
[tex]\boxed{{H^2} = {P^2} + {B^2}}.[/tex]
Here, H represents the hypotenuse, P represents the perpendicular and B represents the base.
The formula for tan of angle a can be expressed as
[tex]\boxed{\tan a = \frac{P}{B}}[/tex]
Explanation:
The perpendicular AB. The length of AB is [tex]200{\text{ feet}}.[/tex]
The angle of depression is [tex]\angle ACB = {14^ \circ }52'.[/tex]
One degree has 60 minutes.
[tex]{1^ \circ } = 60'[/tex]
[tex]\begin{aligned}\angle ACB &= 49 + \frac{{29}}{{60}}\\&= 49 + 0.48\\&= 49.48\\\end{aligned}[/tex]
The angle ADB is [tex]\angle ADB = {16^ \circ }23'.[/tex]
[tex]\begin{aligned}\angle ADB&= {16^ \circ }23' \\&= 16 + \frac{{23}}{{60}}\\&= {16.38^ \circ }\\\end{aligned}[/tex]
In triangle ABC.
[tex]\begin{aligned}\tan\left( {{{49.48}^\circ }} \right)&=\frac{{200}}{{BC}}\\1.13&= \frac{{200}}{{BC}}\\BC &= \frac{{200}}{{1.13}}\\BC &= 177{\text{ feet}}\\\end{aligned}[/tex]
In triangle ABD.
[tex]\begin{aligned}\tan \left( {{{16.38}^ \circ }} \right)&= \frac{{200}}{{BD}}\\0.30&= \frac{{200}}{{BD}}\\BD&= \frac{{200}}{{0.30}}\\BD &= 666.67{\text{ feet}}\\\end{aligned}[/tex]
The distance boat can travel can be obtained as follows,
[tex]\begin{aligned}DC& = BD - BC\\&= 666.67 - 177\\&= 489.67{\text{ feet}}\\\end{aligned}[/tex]
The distance covered by the boat is [tex]\boxed{489.67{\text{ feet}}}.[/tex]
Kindly refer to the image attached.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Trigonometry
Keywords: perpendicular, person watching boat, top, lighthouse, angle of depression, angle of elevation, 200 feet tall, travel, sides, right angle triangle, triangle, altitudes, hypotenuse, on the triangle, hypotenuse, trigonometric functions.
Find the number of permutations of the first 10 letters of the alphabet taking 2 letters at a time.
Answers
10P2
=90
Therefore there are more than 90 ways in which the letters can take 2 letters at a time.
Answer? Multiple choice?
Answers
[tex]f(x) = \frac{x^2 + 4x + 3}{x^2 - 9} [/tex]
As we know fraction is not defined where denominator is equal to zero.
So let's find where denominator is zero.
[tex]x^2 - 9 = 0[/tex]
We can factorize it as [tex]a^2 - b^2 = (a+b)(a - b)[/tex]
So we can write given equation as
[tex](x+3)(x-3) = 0[/tex]
So x = 3 or x = -3.
So function is undefined at x = 3 and x = -3.
So option 3 is correct.
Plz help!
What is the constant of variation for the quadratic variation?
A. 5
B. 10
C. 15
D. 25
Answers
d2y/dx2=10,10,10 (this constant just proves that it is a quadratic relation)
Now we can set up a system of equations for ax^2+bx+c
16a+4b+c=80, 9a+3b+c=45, 4a+2b+c=20 getting differences
7a+b=35, 5a+b=25 and again
2a=10, a=5, making 7a+b=35 become:
7(5)+b-35, b=0, making 4a+2b+c=20 become:
4(5)+2(0)+c=20, c=0 so
y=5x^2
So the constant of variation for this quadratic is 5.
What is the domain of f(x) = 3^x – 2?
Answers
Answer: In fact tis D. Is all real numbers
Step-by-step explanation: your welcome?
(04.01 LC)
Which of the sets of ordered pairs represents a function?
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
Only A
Only B
Both A and B
Neither A nor B
Answers
Answer:
Only A
Step-by-step explanation:
Let's remember the definition of a function:
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
In A, each input has exactly one output so it's a function.
But in B, the inputs 4 and 9 have two different outputs, it can't represent a function.
The answer is only A.
1,226 days late to answer this question but that will not stop me!
The answer is... drumroll please ... Only A :]
What type of transformation can be defined as turning a figure about a fixed point with no change to the size or shape of the figure?
Answers
Find the equation of the circle that has a diameter with endpoints located at (7, 3) and (7, –5).
Answers
The equation of the circle with a diameter between (7, 3) and (7, -5) is (x - 7)² + (y + 1)² = 2².
Explanation:To find the equation of the circle, we first need to find its center. The center of a circle is the midpoint of its diameter. To find the midpoint of (7, 3) and (7, -5), we can add the x-coordinates and divide by 2 to get 7. For the y-coordinates, we add -5 and 3 and divide by 2 to get -1. So, the center of the circle is (7, -1).
The radius of the circle is half the length of the diameter. The distance between the center of the circle and one of the endpoints of the diameter (7, 3) is the radius. Using the distance formula, the radius is √((7-7)² + (3+1)²) = 2.
Now, we can use the center and radius to write the equation of the circle, which is (x - 7)² + (y + 1)² = 2².
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What are the exact solutions of x2 − 3x − 1 = 0?
Select one:
a. x = the quantity of 3 plus or minus the square root of 5 all over 2 Incorrect
b. x = the quantity of negative 3 plus or minus the square root of 5 all over 2
c. x = the quantity of 3 plus or minus the square root of 13 all over 2
d. x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answers
Values: a = 1; b = - 3; c = -1
Solving:
[tex]X ^{2}-3X-1=0[/tex]
[tex]X= \dfrac{-(-3) \pm \sqrt{(-3) ^{2}-4(1)(-1) } }{2(1)}[/tex]
[tex]X= \dfrac{3 \pm \sqrt{9+4} }{2}[/tex]
[tex]X= \dfrac{3 \pm \sqrt{13} }{2}\ ===\ \textgreater \ \ Answer:\ \boxed{ \textbf{Option\ {C.}}}[/tex]
GOOD LUCK...!!!
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Answers
h^2 + 3^2 = 6^2
x^2 = 27
x=sqrt(27)
x=3*sqrt(3)
0.5*x*6=9*sqrt(3)
Then multiplying by 7 for all 7 sides,
9*sqrt(3)*7
63*sqrt(3)
Final simplification: 109.12, D
Hope this helps.
in the system shown below, what are the coordinates of the solution that lies in quadrant I? x^2-y^2=25, x+y=25
Answers
x² - y² =25
and
x + y = 25
It can be deduced that the first equation is a difference of two squares and can be factored out as that one shown below.
(x - y)(x + y) = 25
From the second equation, x+y = 25. Substituting this to the equation above,
(x-y)(25) = 25
Hence, x - y = 1
The system of linear equations is,
x + y = 25
x - y = 1
Adding the equations together,
2x = 26
x = 13
The value of y is 12.
Since both x and y are positive values then, this solution lies in the first quadrant.
ANSWER: (13,12)
The table shows the ages and weights of babies at a hospital.
What is the correlation between age and weight as shown in the table?
A.) none
B.) positive
C.) negative
D.) constant
Answers
Answer:
Option (b) is correct.
The correlation between age and weight shown in the table is positive.
Step-by-step explanation:
Given: The table shows the ages and weights of babies at a hospital.
We have to determine the correlation between age and weight as shown in the table.
We first Plot these points to obtain the graph as show in attachment below.
Since, Using correlation calculator , we find the correlation as 0.83113
Which is positive
Thus, The correlation between age and weight shown in the table is positive.
As age increases the weight increase.Hence, positive.
The correlation between age and weight as shown in the table is positive, This is further explained below, Option B is correct
What is correlation?Correlation is simply a relationship that exists between events or objects, A relationship between mathematical variables that are subject to variation.
In conclusion, Therefore we look at the table to decipher the correlation between age and weight.
Read more about Arithmetic
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The course for the frog hopping race is 59 inches long. Max's frog has jumped 2 feet and 3 inches. How much further does Max's frog need to jump in order to reach the finish line?
Answers
To find what is left subtract 59-27=32 inches left, which is equivalent to 2 ft 8 inches
To find the remaining distance Max's frog needs to jump in the race, convert the initial jump to inches, and subtract it from the total race length.
The frog hopping race's course is 59 inches long. Max's frog has jumped 2 feet and 3 inches. To find out how much further Max's frog needs to jump to reach the finish line, convert 2 feet and 3 inches to inches and subtract it from 59 inches.
The conversion is: 2 feet x 12 inches = 24 inches. Adding 24 + 3 inches gives 27 inches. Subtract 27 inches from 59 inches to find the remaining distance Max's frog needs to jump.
The distance Max's frog still needs to jump is 32 inches.
a plane intersects a prism parallel to the base of the prism. the cross section is a polygon with eight sides. The base of the prism had how many sides
Answers
Find the measure of each interior angle and each exterior angle of the following regular polygons. Show your work
Answers
now, with that in mind... let's take a peek at .. hmmm say c) dodecagon
now, a Dodecagon has 12 sides.... let's check the angles then
[tex]\bf n\theta =180(n-2)\qquad n=12\implies 12\theta =180(12-2) \\\\\\ 12\theta =180\cdot 10\implies 12\theta =180\implies \theta =\cfrac{1800}{12} \\\\\\ \theta =150^o\impliedby \textit{interior angle of a Dodecagon}\\\\ -------------------------------\\\\ n\theta =360\qquad n=12\implies 12\theta =360\implies \theta =\cfrac{360}{12} \\\\\\ \theta =30^o\impliedby \textit{exterior angle of a Dodecagon}[/tex]
so... hmm now for a) a decagon is 10 sides, b) pentagon is 5 sides, d) and e) pretty much you can tell how many sides on those already.
Answer:
Step-by-step explanation:
As we know for a regular polygon sum of all interior angles is represented by n A = 180 (n-2)
and sum of all exterior angles is represented by n A' = 360°
Here n represents number of sides of the polygon.
Now we will go for each options given.
(A) Decagon : (Having 10 sides)
(1) 8A = 180 ( 8-2 )
8A = 180 × 6
A = [tex]\frac{1080}{8}[/tex] = 160° ( interior angle )
(2) n A' = 360°
8 A' = 360°
A = 45° ( exterior angle )
(B) Pentagon ( having 5 sides )
(1) 5A = 180 ( 5-2 )
5A = 180 × 3 = 540
A = 108° ( interior angle )
(2) 5A' = 360
A' = 72° (exterior angle )
(C) Dodecagon : ( having 12 sides )
(1) 12A = 180 (12-2)
12 A = 180 × 10 = 1800
A = 150° ( interior angle )
(2) 12 A' = 360
A' = 30° ( exterior angle )
(D) 16-gon ( having 16 sides )
(1) 16 A = 180 ( 16 - 2 )
16A = 180 × 14
16 A = 1520
A = 157.5° ( interior angle )
(2) 16 A' = 360
A' = 22.5°
(E) 25-gon ( having 25 sides )
(1) 25 A = 180 ( 25-2)
25A = 180 (23)
A = 165.6° ( interior angle )
(2) 25A' = 360
A = 14.4° ( exterior angle)
the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of 108 centimeters find the volume when the pressure is 87 centimeters
Answers
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day
Answers
(2181 + x) / 3 = 1000 ....multiply both sides by 3
2181 + x = 1000 * 3
2181 + x = 3000
x = 3000 - 2181
x = 819 <== they would need to earn $ 819 on Sunday
8% of x is equal to 48
Answers
answer
8% of 600 is equal to 48
divide 48 by 8%
48/0.08 = 600
check
600*0.08 = 48
x=600
What is the length of CF? look at image attached
Answers
СF * DF = BF * EF
СF * 14 = 7 * 17
14СF = 119
СF = 119/14
СF = 8.5
12.38 in expanded form
Answers
10 + 2 + .3 + .08 = 12.38
To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form.
So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8
Hope this helps. Please make me brainliest
The length of the shadow of a flagpole was found to be 72 feet. the shadow of a 3 foot picket fence in line with the flagpole was 4 feet. what is the height of the flagpole?
Answers
We can solve this problem by simply using ratio and proportion. Let us call the height of the flagpole to be X. Therefore the ratio and proportion would be:
3 ft is to 4 ft and X ft is to 72 ft
3 / 4 = X / 72
X = (3 / 4) * 72
X = 54 ft
The height of the flagpole is 54 ft.
tristen is a saleman whose base pay plus commissions amounted to $59,238 last year. if his base pay was $31,050 and he made $97,200 is sales last year what was his rate of commission?
Answers
subtract base pay from what he made
59238-31050 = 28188
so he made 28188 in commissions
now divide that by 97200
28188/97200 = 0.29
so he makes 29% commision
PLEASE HELP!! Use the following image↓
Answers
Please help!! Will give medal!!
Compare the following functions:
(see attachment)
Which function has the smallest minimum?
A. All three functions have the same minimum
B. f(x)
C. g(x)
D. h(x)
Answers
We can tell by looking at the graph of g(x) that its minimum is -2
By symmetry the table shows a minimum of 3
So f(x) has the smallest minimum.
Answer:
Step-by-step explanation:
We are given three functions and we have to find which one has the smallest minimum.
I function is
[tex]f(x) = -5sin(2x-\pi) +2[/tex]
Since sine varies from -1 to 1, we get this function has a minimum when sine takes value 1.
Minimum of f(x) =1(-5)+2 =-3
II function is
a graph of parabola with minimum at x=3 and y =-2
III function is shown in tabular form.
From the table we find that minimum is x=1 y=3
Tabulating we have
f(x) (3pi/4, -3)
g(x) (3,-2)
h(x) (1,3)
Smallest is for f(x) with least value of -3