The double dot plot shows the numbers of junk emails that were received by marcus and anders for the past twenty days. Which inference about the two populations is true?
A) Both sets of data have the same interquartile range.
B) Both sets of data have the same median
C) Ander’s data centers around 6 and Marcus’s data centers around 7
D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data
Answers
The true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data
What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
How to find the interquartile range?IQR(inter quartile range) is the difference between third and first quartile.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.
If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table. Thus, if its written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 in the horizontal axis.
For this case, getting the quartiles of each dataset one by one.
For the data for Anders:The number of dots show frequencies, therefore, from the image attached below, the data we get for Anders is:
1,2,2,3,3,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7
These are total 20 observations.
Mean is the ratio of sum of all observations to the number of observations.
Sum of these values is 100, and therefore, we get:
Mean = 100/20 = 5
50% of 20 is 10 (its half). And 25% is 5, and 75% is 15.
Now, any number between the 10th and 11th value will be median because before and after that will lie ten-ten observations.
We usually take mean of these two values in such case.
The 10th value is 5, and so as the 11th value.
Thus, median of this data set is 5
Similarly, the first quartile can be taken as the average of 5th and 6th value as in mid of both lie values before which lies 25% of the data and after which lies 75% of the data.
The 5th and 6th values are 3 and 5. Their average is (3+5)/2=4
Thus, the first quartile of this data set is 4
Similarly, third quartile can be taken as average of 15th and 16th value = (6+7)/2 = 6.5
Now, the interquartile range of this dataset = third - first quartile = 6.5 - 4 = 2.5
Similarly, the data set for Marcus is:2,3,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,10,10
These are total 20 observations.
Mean is the ratio of sum of all observations to the number of observations.
Sum of these values is 139, and therefore, we get:
Mean = 139/20 = 6.95 (approx 7)
Also, we get:
Median can be average of 10th and 11th value = (7+7)/2 = 7
First quartile can be average of 5th and 6th value = (6+6)/2 = 6
Third quartile can be average of 15th and 16th value = (8+8)/2 = 8
Thus, IQR = third - first quartile = 8-6 = 2
So we see that option A and B are wrong as IQR and median both are different for both the datasets.
Option C is wrong since for Ander's data, we see that both mean and median (which are central measures) evaluates to 5, so Ander's data centers around 5 instead of 6.
Option D is correct as IQR for Ander's data = 2.5 is 0.5 greater than 2 which is IQR for Marcus' data.
Thus, the true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data.
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Related Questions
Which equation correctly describes the relationship between the
measure of the inscribed angle and the measure of the
intercepted arc in the figure?
m JKL= mJL
1/2m JKL = mJL
2(m JKL) =mJL
m JKL = 360° – mJL
Answers
The relationship that describes the measure of the inscribed angle and the measure of the intercepted arc is: 2(m∠JKL) = m(JL)
What is the Inscribed Angle Theorem?The inscribed angle theorem states in a circle, the measure of the angle that is inscribed is always half of the arc that is intercepted. Which means that the intercepted arc is twice the measure of the inscribed angle.
In the image given:
m∠JKL is the inscribed angle.m(JL) is the intercepted arcTherefore, the relationship that describes the measure of the inscribed angle and the measure of the intercepted arc is: 2(m∠JKL) = m(JL)
Learn more about the inscribed angle theorem on:
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Answer:
2(m∠JKL)=mJL
Step-by-step explanation:
I took the test :)
Find the width of a cereal box that has a volume of 5,568 cm3 and is 29 cm long and 48 cm high.
Answers
Check the picture below.
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=29\\ h=48\\ V=5568 \end{cases}\implies \begin{array}{llll} 5568=(29)w(48)\implies \cfrac{5568}{(29)(48)}=w \\\\\\ 4=w \end{array}[/tex]
Select all expressions that are equivalent to -4(x + 2) - 2x + 4.
A. -6x - 4
B. -4x + 2 - 2x + 4
C. -10x
D. -4x + -8 - 2x + 4
E. -4x - 2x - 8 + 4
Answers
Answer:
=>A. -6x - 4
Step-by-step explanation:
=>-4(x + 2) - 2x + 4
=> -4x-8-2x+4
=> -6x-4
The diagram shows the height (4.5) of a cone that holds ice cream. The cone has a volume of
1.5π cubic inches.
I need explanations please, I will mark you brainliest if I get a good explanation on how and what the sum is about.
Answers
The radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.
What is of volume of cone?Volume of cone is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The diagram of the cone is shown, in which,
The height of a cone that holds ice cream is 4.5 inches (h=4.5). The cone has a volume of 1.5π cubic inches (V=1.5π).Let suppose the radius of the cone is r inches long. Thus, put the values in the above formula,
[tex]V=\dfrac{1}{3}\pi r^2h\\1.5\pi=\dfrac{1}{3}\pi r^2(4.5)\\1.5\pi\times3=\pi r^2(4.5)\\\dfrac{1.5\pi\times3}{\pi \times 4.5}= r^2\\1= r^2\\r=\sqrt{1}\\r=1\rm\; inches[/tex]
Thus, the radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.
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the snow globe below is formed by an hemisphere and cylinder on a cylinder base.
Answers
Answer:
cylinder
Step-by-step explanation:
Might be kind of hard to explain but just try to explain as much as u can.
Answers
The rule for a rotation by 270 ° about the origin is (x,y) ⇒ (y,-x)
Rotating the triangle PQR to create an image of the triangle involves moving the triangle PQR in a circular direction.
The coordinates of the given triangle are:
P = (-10,15)Q = (-20,5)R = (-10,5)Using the rule, the coordinates now are:
P' = (15,10)Q' = (5,20)R '= (5,10)In the attatchment, the answer is in pictoral form.
If you are 15 years old now, which equation could be used to solve for your age, y, 12
years from now?
Answers
Add 12 to the current age:
Y = 15 + 12
Answer:
y=15x12
Step-by-step explanation:
What is the product of (3a 2)(4a2 – 2a 9)? 12a3 − 2a 18 12a3 6a 9 12a3 − 6a2 23a 18 12a3 2a2 23a 18
Answers
The product of the two equation in which one is binomial equation another quadratic equation, is 12a³+2a²+23a+18.
How to multiply two equations?To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation given in the problem is,
[tex]3a+ 2[/tex]
The second equation given in the problem is,
[tex]4a^2 -2a+ 9[/tex]
The product of these two equations are,
[tex]p=(3a+2)\times (4a^2 -2a+ 9)\\p=12a^3-6a^2+27a+8a^2-4a+18\\p=12a^3+2a^2+23a+18[/tex]
Hence, the product of the two equation in which one is binomial equation another quadratic equation, is 12a³+2a²+23a+18.
Learn more about the multiplication of two equation here;
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Answer: D: 12a^3 + 2a^2 + 23a + 18
Step-by-step explanation: got it right :)
A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. how many 7-card hands are possible with 2 hearts, 2 diamonds, 2 clubs, and 1 spade? assume that the order of the cards does not matter, and use the formula for combinations to find your answer.
Answers
The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade is 1,169,176.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades.
The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade will be
[tex]\rm Number \ of \ ways = \ ^{13}C_2 \times ^{13}C_2 \times ^{13}C_2 \times ^{13}C_1 \\\\Number \ of \ ways = 78 \times 78 \times 78 \times 13 \\\\Number \ of \ ways = 6,169,176[/tex]
The number of ways is 6,169,176.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
What is the answer?
Do I add?
Answers
Answer:
yess add your anwser is 32.235
48% as a common fraction
Answers
Answer:
12/25
Step-by-step explanation:
48% is the same as 48/100 = 12/25
HELP! WILL GIVE BRAINLEST!The graph below shows an angle in standard position. What is the degree measure of the angle depicted?
Answers
Answer:
45 degree angle
Step-by-step explanation:
Let's say that the line crossing the middle of quadrant four was on the y-axis, that would be known as a 90 degree angle. Since it was cut in half, that would become a 45 degree angle.
Every axis you hit is 90 degrees.
In the graph the line has rotated through 3.5 quadrants.
90’ x 3.5 = 315’ or option 3.
Please award Brainliest and great luck with your studies!
A rectangle is _____ a trapezoid.
a. always
b.never
c.sometimes
Answers
Answer:
never.
Step-by-step explanation:
The area of a rectangle is x^2+2x-24 Which of the following could be one of the dimensions?
Answers:
(x-3)
(x-4)
(x-6)
(x+8)
WILL GIVE BRAINLIEST
Answers
Answer: (x-4)
Step-by-step explanation:
x^2 + 8x +15 is the area
x+5 is the length
x+3 is the width
(x+5)(x+3)=
x^2 + 3x +5x +15
x^2 +8x + 15
Answer:
(x-4)
Step-by-step explanation:
Sadie's monthly allowance is $75. She saves 60% of the allowance each month.
Select all expressions that demonstrate a correct method of calculating the amount of money she saves each
month.
0.60/100 • 75
60/100 • 75
60 • 75
0.60 • 75
Answers
60/100 * 75 & 0.60 * 75
60% can be rewritten as 0.60, and since 60/100=0.60, this expression is correct as well
The other two are incorrect because 0.60/100 would be 0.6%, and 60*75 would mean she is saving 6000%
Given the system of contstraints: y ≥ 2x x y ≤ 14 y ≥ 1 5x y ≥ 14 x y ≥ 9 which region represents the graph of the feasible region for the given constraints? a b c
Answers
Region A is the region that represents the graph of the feasible region
For the given constraints
y ≥ 2x x y ≤ 14 y ≥ 1 5x y ≥ 14 x y ≥ 9
Let's look to the graph to answer the question
y ≥ 2x represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line
The solution is in the A region
x + y ≤ 14 represented by the line shown in figure
The sign of inequality is smaller than, then the shaded part will
be under the line
The solution is in A or B or C regions
y ≥ 1 represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line.
What is the meaning of inequality?The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
inequality means in the equation
The solution is in A or B or C regions
5x + y ≥ 14 represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line
The solution is in A or B or C regions
x + y ≥ 9 represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line
The solution is in A or B regions
From all the above the common region in the five inequalities is A
Region A is the region that represents the graph of the feasible region
for the given constraints.
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Answer:
A
Step-by-step explanation:
The Answer is A on Edge as of 2022
WILLGIVEBRAINLIEST,THANKS,5STARS!
PLEASE HELP!
PLEASE EXPLAIN IN DEPTH!
Answers
x=2
Solution:In order to isolate x, we should first of all take the square root of both sides.If we take the square root of the left-hand side, we will get[tex]x-\displaystyle\frac{1}{2}[/tex]How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)So we have[tex]x-\displaystyle\frac{1}{2} =\frac{3}{2}}[/tex]Move -1/2 to the right:[tex]x=-\displaystyle\frac{3}{2} +\frac{1}{2}[/tex][tex]x=\displaystyle\frac{4}{2}[/tex]x=2Hope it helps.
Do comment if you have any query.
what is 30x120? since i dont know how to multiply by doubles :)
Answers
Answer:
The answer to 30*120 is 3,600
Answer:
30 times 120 equals 3600
Step-by-step explanation:
One thing that is really easy to use to multiply is a calculator (either online or a hand-held one). But here is how you can multiply without a calculator...
Set up an equation on a piece of paper like how it is shown right below...
30
x 120
Then, times the last digit (so the zero) of the bottom number. (But it doesn't really matter what order you put them in). Then, times it by the last digit of the top number. So that would equal 0! So as shown below, you would put the answer like so...
30
x 120
0
Then, you do 0 (last digit of bottom number) times 3 (you keep going left of the top number's digits). So that would also equal 0.
30
x 120
00
0
Then you add a zero below, since we are now moving on to the next number to the left of the last digit of the bottom number (hopefully this is making sense). Then you do the exact same thing.
30
x 120
00
600
Now that we're done with that, we add two zeros this time, since we are in the hundreds now. So it is to the next number now! (1) And then we do the exact same thing again!
30
x 120
00
600
3000
Alright, that's done! Now we add all those answers together (0+600+3000)
And that gives us our answer! 3600!
Hopefully that made sense! :)
what is the length of the third side(AC)
Answers
Answer:
Step-by-step explanation:
Use pythogeream theroem:
Explanation in image attached :)
You want to put money into a bank. The first bank will take a 1st deposit of 500 dollars and pays 4.8% compounded
quarterly. The Second bank with take a 1st deposit of 3000 dollars but pays 2.7% compounded annual
Answers
Answer:
4
Step-by-step explanation:
the step equation because of the font
what is the fifteenth term in the sequence 5, 7, 9, 11, 13...?
Answers
Answer:
33.
Step-by-step explanation:
Arithmetic sequence with a1 = 5 and d = 2.
nth term = a1 + d(n - 1), so
15th term = 5 + 2(15 - 1)
= 5 + 2*14
= 33.
if f(x)=-2x+6(4-3), what is f(8)
Answers
Answer:
f(8)= -16 + 6
Step-by-step explanation:
f(x) = -2x + 6(4-3)
f is a function. In this case, a function of variable x. So wherever x is written, swap it by the variable of a number which is 8.
What type of graph would you use for a set of categorical data with 25 people surveyed?
bar graph
line graph
pictograph
stem-and-leaf plot
Answers
Answer:
line graph
oihhoihjkii
EASY, PLEASE HELP, I AM STUCK!
Answers
Answer:
75
Step-by-step explanation:
15/12
there are 1.25 boys for every girl in the gaming club
60*1.25=75
Write an explicit formula for the arithmetic sequence:
-2,7,16,25,...
Answers
Answer:
a_n = 9n - 11
Step-by-step explanation:
Explicit rule for an arithmetic sequence is a_n = a_1 + (n-1) d
a_1 is the first term of the sequence
d is the common difference. To find d you pick a number in the sequence and subtract it by the previous number. For example, 7 - (-2) = 9
16 - 7 = 9 so, d = 9
a_1 = -2 since it is the first term. Now substitute these numbers into the formula.
a_n = -2 + (n-1)(9)
And then we simplify.
9 • n = 9n
9 • -1 = -9
Then we’ll have a_n = -2 + 9n -9 and well simplify even further.
-2 -9 = -11
So we get
a_n= 9n -11
hope that helped! God bless you!!
the weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. a truck used to transport goats can only accommodate not more than 650 kg. if 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
Answers
Using the normal distribution, it is found that there is a 0.0571 = 5.71% probability that the total weight exceeds the maximum weight.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, we have that the parameters are given as follows:
[tex]\mu = 60, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]
The probability that the total weight exceeds the maximum weight is the probability of a sample mean above 650/10 = 65 kg, which is one subtracted by the p-value of Z when X = 65.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{65 - 60}{3.1622}[/tex]
Z = 1.58.
Z = 1.58 has a p-value of 0.9429.
1 - 0.9429 = 0.0571.
0.0571 = 5.71% probability that the total weight exceeds the maximum weight.
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If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f – g)(2)? 12 14 36 38
Answers
Answer:
that's the answer man ur welcome btw
Help please. I do not understand the assignment my teacher has given me.
Answers
Step-by-step explanation:
Match in the given pattern
1-->F
2-->A
3-->E
4-->C
5-->B
6-->D
I hope it helps you
pls help DUE TODAY (13points)
Answers
Answer:
42 ft²
Step-by-step explanation:
Rectangle Area: L * W
[tex]\bf A=(8ft)(6ft)[/tex]
[tex]\bf 48 \; ft^2[/tex]
[tex]\bf A= (3ft)(2ft)[/tex]
[tex]\bf 6\;ft^2[/tex]
[tex]\bf 48ft^2-6ft^2[/tex]
[tex]\boxed{\bf 42\; ft^2}[/tex]
Answer:
42
Step-by-step explanation:
6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.
John ate more calories than his body needs. What will happen if he doesn't burn them off?
A. The extra calories will be stored as fat.
B. Nothing. You can never eat too many calories.
C. He will get bigger muscles.
D. He will get the flu.