Make a box-and-whisker plot for the data:
36, 39, 39, 41, 43, 49, 61, 64
a. smallest value 36
b. Quartile 1: 39
c. Median: 42
d. Quartile 2: 55
e. greatest value: 64
Answers
The five number summary you wrote out is correct.
The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).
The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.
The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16
Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.
The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.
I used GeoGebra to create the box-and-whisker plot.
Answer:
The data and 5-number summary is given.
Based on the 5 numbers we have the attached box-and-whisker plot.
Related Questions
Looking in her food pantry, Professor Martinez finds a package of 12 flavored water bottles. The package contains 5 strawberry flavored water bottles and 7 mango flavored water bottles, each without labeling. All the bottles look alike and have equal probability of being chosen. Three bottles are randomly selected without replacing them.
a. The probability that all (exactly three) bottles are strawberry flavored is: _______
b. The probability that at least one of the three bottles are strawberry flavored is: _________
c. The probability that exactly 2 bottles are strawberry flavored is: _________
Answers
Answer:
a) 12/24 * 11/24*10/24
b) 1 - 12/24 * 11/24*10/24
c) 12/24 * 11/24 *12/24
Step-by-step explanation:
Total number of bottles = 12 + 5+7 = 24
a. The probability that all (exactly three) bottles are strawberry flavored is: 212
12/24 * 11/24*10/24
b. The probability that at least one of the three bottles are strawberry flavored is:
1 - P (no strawberry bottle)
1 - (12/24*11/24*10/24)
c. The probability that exactly 2
12/24 * 11/24 *12/24
A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?
Select one:
A. The size of the population
B. The length of time the people smoked
C. All the information you need is contained in the problem
D. The amount of confidence you desire in your estimate
Answers
Answer:
C. All the information you need is contained in the problem.
310 people of 1000 people smoke.
Step-by-step explanation:
[tex]\frac{y}{1000}: \frac{31}{100}[/tex]
y · 100 = 31 · 1000
100y = 31000
100y ÷ 100 = 31000 ÷ 100
y = 310
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Answers
Uh oh, looks like you need the graph to answer this question! If you post the graph then I can answer in numbers but for now, I'll try to explain:
1) I assume the graph looks like a dome shape, so based on that, where the line comes back down and hits the bottom line on which x value is larger will be whose stone hit the water second and what time will be what x value represents the time it hit the water.
2) look at the highest value on the purple graph and that is the maximum height (the y value of that point) and the x value of that highest point will be the time it took for the stone to reach its maximum height.
3) based on this question, the graph should start not on the 0 but at a point on the y axis, so whoever's starting y value is higher will be this answer and what that is will be the number answer to the what was it part.
Hope this helps and if you post the graph then I can do more! :)
change 1/4 to percent.
a.20%
b.25%
c.75%
d.100%
Answers
slope= -1/2, y-intercept = 4
Answers
Answer:
y=-1/2x+4
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept
so
y=-1/2x+4
jucinta has two blue marbles 4 red marbles and five green marbles in the bag of the marbles are the same size she will select one marble from the bag without looking what is the probability that Justina will select green marble write your answer as a fraction
Answers
Answer:
2+4+5 = 11. since there are 5 green marbles the answer is 5/11
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answers
Answer:
si se tirs undado you need to
Does anyone understand this?
Answers
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
??????????????
Can someone help me please
Answers
hope this helps !
3x^2 = 48
Divide both sides by 3
3x^2 ÷ 3 = 48 ÷ 3
x^2 = 16
Take a square root from both sides
√x^2 = + √16 " OR " √x^2 = - √16
x = 4 " OR " x = - 4
Thus the correct answer is option 3 .
Graph the solution to this system of inequalities in the coordinate plane. y > 1/4x + 6 y>2x - 4
Answers
Answer:
WVAD
Step-by-step explanation:
wdvvvvavdv
what should be added to -13/25+21/5+-21/18 to get 5?
Answers
ATQ,
= [tex] \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5[/tex]
Take the lcm of 25,5,18 and then manipulate it accordingly.= [tex] \dfrac{ 377}{150} + x = 5[/tex]
= [tex] x = 5 - \dfrac{ 377}{150}[/tex]
= [tex] x = \dfrac{ 373}{150}[/tex]
Answer
=727/150
Step-by-step explanation:
-13/25 + 21/18 + 21/18
= -13 + 105/25 + 21/18
= 92/25 + 21/18
= 1656 + 525/450
= 2181/450 = 727/150
Have nice day
HELPP!!! I need help ASAP
Answers
Answer:
the right answer is C
Step-by-step explanation:
___________
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answers
Answer:
Step-by-step explanation:
Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answers
Answer:
40%
Step-by-step explanation:
What is the product?
2 3 4
5 9 -1 -7
11 5 -3
Answers
Answer:
-1247400
Step-by-step explanation:
See the Image below:) I believe this is what you are looking for.
Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?
44
88
104
188
Answers
Answer: 88
Step-by-step explanation:
got it right 2022 edge
What is the range of the data set 1 2 3 4 5 6 7
Answers
Answer:
6
Step-by-step explanation:
Range = Highest number - Smallest number
From the data
Highest number = 7
Lowest number= 1
Range = 7 - 1
RAnge = 6
Hence the range of the dataset is 6
1. Points scored by a basketball player are 12, 15, 8, 12, 15, 10, 3, 14, and 15
Calculate the:
a) mean
b) median
c) mode
d) midrange
e) Use the relative location of the mean, median, and mode calculated describe the sets as
symmetric, skewed left, or skewed right.
Answers
Answer:
mean : add all of them and divide by how much they are
mode: is what repeats it self like 15 is the most repeated.
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answers
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
8+
3
z
=12 its z over 3 btw how do i show my work
Answers
8+z/3=12
8+4=12
12/3=4
z=12
can someone help 10 points
Answers
Answer:
The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.
Which pair of expressions below are equivalent (the same)?
a) 4(3b) and 7b
b) 4b + 5b and 20b
c)-5(2b + 2) and 20b
d) 3b + b + 2b and 6b
Please help it’s really important
Answers
HELP NEEDED!! QUESTION BELOW
Answers
Answer:
A
Step-by-step explanation:
The values will increase because the multiplier is greater than 1 (1.05).
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
Answers
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answers
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answers
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
what is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer
Answers
Answer:
183
Step-by-step explanation:
The perimeter of the rectangle measured in centimeters is 26 cm.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a rectangle in the figure.
The length of the rectangle = 7 cm
Width of the rectangle = 6 cm
We have to find the perimeter of the rectangle.
Perimeter of the rectangle = 2(l + w), where l is the length and w is the width.
Perimeter = 2(7 + 6)
= 2 × 13
= 26 cm
Hence the perimeter is 26 cm.
Learn more about Perimeter here :
https://brainly.com/question/29595517
#SPJ2
I would greatly appreciate if you could solve this 4 me. Thank you!
Answers
Answer:
Look at the image.
Step-by-step explanation:
I need to know this question asap
Answers
Answer:
.
Step-by-step explanation:
What is 12n+36m+60= pls answer
Answers
Answer:
you can't do that because they are different variables, so there are no like terms
Step-by-step explanation:
there is no answer for this equation
Answer:
Step-by-step explanation:
12n+36m+60=0
12n+36m=-69
12(n+3m)=-69
n+3m=-69/12