Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40
Answers
The box plot representing the data set 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 will have the values at 5 (minimum), 12.5 (Q1 - 25th percentile), 25 (median), 37.5 (Q3 - 75th percentile), and 50 (maximum). The data is arranged in ascending order, divided into quartiles, and the median of each quartile is found.
Explanation:To determine which box plot represents the data, we need to obtain the five-number summary of the data which includes the minimum, Q1 (25th percentile), median (Q2 - 50th percentile), Q3 (75th percentile), and the maximum.
Arrange the data in ascending order: 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50Determine the minimum and maximum: Minimum is 5, Maximum is 50 Find the median (Q2): With 12 numbers, the median is the average of the 6th and 7th value, so (25+25)/2 = 25 Q1 is the median of the lower half of data (not including Q2): The median of 5, 5, 10, 15, 25, 25 is (10+15)/2 = 12.5 Q3 is the median of the upper half of data (not including Q2): The median of 30, 35, 40, 40, 45, 50 is (35+40)/2 = 37.5Therefore, the box plot that represents this data will have values at 5 (minimum), 12.5 (Q1), 25 (median), 37.5 (Q3), and 50 (maximum).
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Related Questions
Find the volume of each sphere or hemisphere. Round to the nearest tenth.
sphere: circumference of a great circle = 26m
Answers
volume of a sphere=(4/3)*pi*r³
in this problem
circumference=26 m
circumference=2*pi*r
so
26=2*pi*r----------> r=26/(2*pi)----> 4.14 m
volume of a sphere=(4/3)*pi*(4.14)³---> 297.08 m³------> 297.1 m³
the answer is
volume of a sphere is equal to 297.10 m³
How to calculate 95th percentile from mean and standard deviation of an exponential distribution?
Answers
0down voteaccepted
The qthqth quantile of a random variable XX is the value xx such that
Pr[X≤x]=q.Pr[X≤x]=q.So in your case q=0.25q=0.25, and0.25=Pr[X≤x]=FX(x)=1−e−x/β.0.25=Pr[X≤x]=FX(x)=1−e−x/β.This gives us e−x/4=0.75e−x/4=0.75, orx=−4log0.75≈1.15073.x=−4log0.75≈1.15073.This assumes that the parametrization of the exponential distribution is by scale; i.e., if β=4β=4 this means E[X]=β=4E[X]=β=4, rather than by rate--in which case E[X]=1/β=1/4E[X]=1/β=1/4.Write each of the equations below in standard form (i.e. y = ax^2+bx+c y=ax 2 +bx+c):
a. y = 3(x-7)(x+4) y=3(x−7)(x+4)
b. y = 2(x-3)^2 + 5 y=2(x−3) 2 +5
c. y = -2(x+3)(x+5) y=−2(x+3)(x+5)
d. y = -3(x-4)^2 + 8y=−3(x−4) 2 +8
Answers
Hope it helps
O'Farrell offers 2 different after school clubs. The Ukulele club has 30 students and attendance is increasing by 6 students per month. MESA has 45 students and attendance is increasing by 3 students per month. After how many months will there be the same number of students in each club?
Answers
months / students
0 30 45
1 36 48
2 42 51
3 45 54
4 51 57
5 57 60
6 63 63
What is the value of w?
w + 3
4
=
w - 2
2
Answers
15 Points!
Describe how to transform the graph of f into the graph of g.
A) Shift the graph of f left 3 units.
B) Shift the graph of f right 7 units.
C) Shift the graph of f right 3 units.
D) Shift the graph of f left 7 units.
Answers
Answer:
D) Shift the graph of f left 7 units.
Look at the picture.
A bunch bowl is in the shape of a hemisphere. The top rim has a circumference of 116cm.
A) determine the volume of the punch bowl to the nearest cubic centimeter.
B) If there are 1,000 cubic centimeters in a liter and 3.785 liters in a gallon, determine, to the nearest tenth of a gallon, how much punch can fit in the bowl.
Answers
[tex]C=2\pi r[/tex]
[tex]116\:cm=2\pi r[/tex]
[tex]r=\frac{116}{2\pi }=18.462\:cm[/tex]
Part A
We can now compute for the volume of the hemisphere.
[tex]V=\frac{1}{2}\times \frac{4}{3}\pi r^3=\frac{1}{2}\times \frac{4}{3}\pi \left(18.462\right)^3=13179\:cm^3[/tex]
Part B
We just need to convert the volume into its corresponding gallons
[tex]13179\:cm^3\times \frac{1\:Liter}{1000\:cm^3}\times \frac{1\:gallon}{3.785\:Liters}=3.5\:gallons[/tex]
Akikos dogs has three puppies. They weigh 2.6pounds, 2.74 pounds, and 3.1 pounds. How much more does the heaviest puppy weigh than the lightest puppy?
Answers
PLEASE HELP ME WITH THIS ILL MARK AS BRAINIEST
What is the value of h when the function is converted to vertex form?
Note: Vertex form is f(x)=a(x−h)2+k .
f(x)=x2+10x+35
Enter your answer in the box.
Answers
f(x)=x^2+10x+35
Complete the square: f(x)=x^2+10x+25-25+35 = (x+5)^2 +10
or y-10=(x+5)^2, so the vertex is at (-5,10). h has the value -5.
Answer:
h = -5
Step-by-step explanation:
What is the y-intercept of x^2+2x+6
Answers
y = x^2 + 2x + 6
Let x = 0
y = 0^2 + 2 * 0 + 6
y = 6
Answer: 6
so
y=x²+2x+6=0²+2*0+6=6
y=6
So y-intercept is (0,6)
Another question for math. ill give mad points, the question is in attachment
Answers
y = (- 2, 5)
z = (1, 3)
Therefore, the vector yz is given by:
yz = z - y = (1, 3) - (-2, 5)
yz = ((1 - (- 2)), (3-5))
yz = ((1 + 2), -2)
yz = (3, -2)
Then, the magnitude is given by:
lyzl = root ((3) ^ 2 + (-2) ^ 2)
lyzl = root (9 + 4)
lyzl = root (13)
Answer:
yz = (3, -2)
lyzl = root (13)
option A
Irma needs to rent a car for a business trip from phoenix to san jose (720 miles one way). she will drive round trip and will be gone a total of 8 days. the car rental company charges $65.00 per day and allows for 1,600 miles for irmas's trip. there will be an additional charge of $0.24 per mile over the 1,600 miles allowed. how many total miles can she drive without exceeding her budget of $600.00?
Answers
Daily rate + cost per mile over 1600 = total cost
(65 x 8) + 0.24m = 600
520 + 0.24m = 600
-520 -520
0.24m = 80
0.24 0.24
m = 333.33... miles
The maximum number of whole miles she can drive would be 1933 miles (1600 + 333).
YOOOOOO!!!!!!NEEEED HELP!!!WILL GIVE BRAIN!!!!!!PART2!!!!
Answers
f (x) = x ^ 3
We have the following transformation of functions:
Expansions and vertical compressions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a. (It lengthens)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
h (x) = ((1/4) x) ^ 3
h (x) = (1/64) * (x) ^ 3
h (x) = (1/64) * f (x)
0 <1/64 <1
The graph f (x) shrinks,
Answer:
f (x) = x ^ 3
option A
through how many radians does the minute hand of a clock turn in three hours?
•3π
•6π
•9π
Answers
180 degrees is 1π, so therefore it going around 3 full rotations(1080 degrees) it would be 6π
Use graphs and tables to find the limit and identify any vertical asymptotes of the function.
Answers
Vertical asymptote: x=8
Answer:
The limit of the function is [tex]lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty[/tex] and the vertical asymptotes is x=8.
Step-by-step explanation:
The given function is
[tex]f(x)=\frac{1}{x-8}[/tex]
We need to find the value of
[tex]lim_{x\rightarrow 8^-}\frac{1}{x-8}[/tex]
The graph of the function f(x) is attached below.
From the graph it is clear that the function approaches to -∞ as x approaches to 8 from left. So, by the graph we can say that
[tex]lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty[/tex]
The table of values is attached below. From the table it is clear that the value of f(x) decreasing as the value of x is closed to 8 from left. So, by the table we can say that
[tex]lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty[/tex]
To find the vertical asymptotes equate denominator, equal to 0.
[tex]x-8=0[/tex]
[tex]x=8[/tex]
Therefore the limit of the function is [tex]lim_{x\rightarrow 8^-}\frac{1}{x-8}=-\infty[/tex] and the vertical asymptotes is x=8.
Which value of h makes 10/8+h=9/3-2 a true statement?
Answers
Find the slope and the y-intercept of the line with equation y=-5/4x+5
Answers
Therefore, your slope, m, is -5/4 and your y-intercept, b, is 5.
cheryl went on a 3-hour train traveled at an average speed of 75 miles per hour.what was the total distance in miles that cheryl traveled?
Answers
Cheryl went a total of 225 miles in 3 hours.
9. WILL GIVE BRAINLIEST IF CORRECT
Answers
Re-arrange formula to give: sin q = -1/square root of 2
Now, sin (3 pie/4) = sin(135) = -1/square root of 2
Also, sin(5 pie/4) = sin(235) = -sin(45) = -1/square root of 2
sinq = -2/2sqrt(2) = -1/sqrt(2)
answer is letter A. 3pi/4 , 5pi/4
Hope this helps your question! Goodluck
A. 99
B. 100
C. 121
D. Cannot be determined
Answers
Corresponding parts of congruent figures
A gardener wants to plant 122500 trees in his field in such a way that the number of trees in a row is equal to the number of rows .How many trees will he plant in each row?
Answers
Thus the total number of trees will be:
Total=(number of rows)*(number of trees in each row)
hence:
122500=x×x
122500=x²
hence
x=√122500
x=350
thus the number of rows will be 350 and the number of trees in each row will be 350
The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it take them to finish the job if they were working together?
Answers
If two painters who can individually finish a painting job in 2 hours and 8 hours respectively work together, they will be able to finish the job in 1.6 hours.
Explanation:The question is about determining how fast two painters can finish a paint job if they work together, given their individual working speeds. This is related to the field of mathematics and specifically to the concept of rates. The first painter can finish the job in 2 hours, so, his rate of working is 1/2 of the job per hour. The second painter can finish the job in 8 hours, so his rate of working is 1/8 of the job per hour. When they work together, their rates are added together. So, the combined rate of both painters is 1/2 + 1/8 = 5/8 of the job per hour. To find out how long it would take them to finish the job together, we take the reciprocal of this, which gives us 8/5 or 1.6 hours.
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Working together, the two painters would take approximately 1.6 hours or 1 hour and 36 minutes to finish the job.
Explanation:To find how long it would take the two painters to finish the job together, we can use the concept of work rates. The first painter can finish the job in 2 hours, so they have a work rate of 1/2 job per hour. Similarly, the second painter can finish the job in 8 hours, so their work rate is 1/8 job per hour.
When the two painters work together, their combined work rate is the sum of their individual work rates. So, the total work rate when they work together is 1/2 + 1/8 = 5/8 job per hour.
To find the time it would take them to finish the job, we can use the formula time = 1 / work rate. Substituting in the combined work rate of 5/8 job per hour, we get:
time = 1 / (5/8) = 8/5 = 1.6
Therefore, it would take the two painters approximately 1.6 hours or 1 hour and 36 minutes to finish the job if they were working together.
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If EFGH is a parallelogram, what is the value of x?
Answers
so we have: 34 + (4x-2) = 180
now we can solve for x
34 + 4x -2 = 180
simplify the left side by subtracting 2 from 34
32+4x =180
subtract 32 from each side:
4x = 148
divide both sides by 4 to get x
x = 148 / 4
x = 37
The answer is B
A quadrilateral in which opposite sides are parallel is called a parallelogram. The value of x is 37.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, any two adjacent angles are always supplementary. Therefore, we can write the sum of the two angles as,
(4x-2)° + 34° = 180°
4x - 2 + 34 =180
4x + 32 =180
4x = 180 - 32
4x = 148
x = 37
Hence, the value of x is 37.
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A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation.
Answers
Answer:
For the pull out menu it was B
Step-by-step explanation:
A number is mutiplied by 10. Then 32 is added to the product. This sum is then devised by 4. The answer is 28. What was the original number?
Answers
I went in a did the opposite of what it said (so I multiples 28 by 4, subtracted 32, and then divided by 10). Hope this helps!
A circular mirror has a diameter of 12 inches. part a what is the area, in square inches, of the mirror?
a. 6 π
b. 12 π
c. 36 π
d. 72 π part b a circular frame that is 3 inches wide surrounds the mirror. what is the combined area, in square inches, of the circular mirror and the frame?
a. 9 π
b. 18 π
c. 54 π
d. 81 π
Answers
2nd part is d
I BELIEVE
Final answer:
The area of the circular mirror is 36π square inches, and the combined area of the mirror and frame is the difference between the total area with the frame (81π square inches) and the mirror alone, resulting in 45π square inches.
Explanation:
Part A: Area of the Circular Mirror
To find the area of the circular mirror, we use the formula for the area of a circle, which is A = πr², where r is the radius of the circle. Since the diameter of the mirror is given as 12 inches, the radius would be half of that, which is 6 inches. Plugging the radius into the formula, we get:
A = π(6 inches)² = 36π square inches
Part B: Area of the Circular Mirror and Frame
The frame adds 3 inches to the radius on all sides, making the overall radius of the mirror and frame 9 inches (6 inches + 3 inches). Using the area formula again, A = π(9 inches)² = 81π square inches.
To find the combined area of the mirror and frame, we subtract the area of the mirror from the total area. Hence, combined area = 81π square inches - 36π square inches = 45π square inches.
y=-6x^2+100x-180
x=selling price of each soccer ball
y=daily profit from soccer balls
The vertex is located at (8.33, 236.67). What does this point represent in context?
Answers
[tex]y = 236.67[/tex]
And this happens when the selling price of each soccer ball is:
[tex]x = 8.33[/tex]
So if you want to get the best daily profit, this is the price you must sell each soccer ball.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
[tex]y = -6x^2+100x-180[/tex]
where,
x = selling price of each soccer ball.
y = daily profit from soccer balls.
Solution :
The vertex shows the maximum value of y and x.
y = 236.67 shows the maximum daily profit and this happens when selling price of each soccer ball is x = 8.33.
Refer the below graph for better understanding.
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What is the excluded value of the rational expression: x-4/6 divided by x+1/7?
A. -1
B. 4
C. -7
D. None of the above
Answers
((x-4) / (6)) / ((x + 1) / (7))
Rewriting we have:
7 (x-4) / 6 (x + 1)
We observe that the expression is not defined for the values where the denominator is equal to zero.
We have then:
x + 1 = 0
x = -1
Answer:
The excluded value of the rational expression is:
A. -1
The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\
Answers
suppose:
width=8x
length=15x
let d be the diagonal
thus; using Pythagorean theorem:
d^2=(8x)^2+(15x)^2
=64x^2+225x^2
=289x^2
d=17x
or x=d/17
width=8x=8d/17
length=15x=15d/17
Solve the system of equations. { 13x−y=90 y=x^2−x−42
Answers
(6, -12)
(8, 14)
You can get these by taking the second equation and plugging it in for y in the first equation. Then solve using the quadratic formula.