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The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answers
Answer:
B
Step-by-step explanation:
20,24,25,27,29,31,34
min = 20
Q1 = 24
median = 27
Q3 = 31
max = 34
============================================================
Explanation:
Original Data Set = {29, 31, 27, 20, 25, 34, 24}
Sorted Data Set = {20, 24, 25, 27, 29, 31, 34}
The middle-most value of the sorted set is 27, since there are 3 values above it and 3 values below. So the median is 27.
The median is represented by the vertical line inside the box. It does not have to be at the visual midpoint between the left and right edges. It simply needs to be anywhere inside the box.
So we can rule out choice B for instance because this answer choice shows a median of 25, when we want 27 instead.
Choices A, C and D all have the same median of 27.
-------------
Break up the sorted set into two smaller sets like this
L = {20, 24, 25}
U = {29, 31, 34}
L represents the set of lower values, which are smaller than the median. U is the upper set of values larger than the median. The median itself is not in L or U.
Find the median of L and U to get 24 and 31 respectively. These are the Q1 and Q3 values in that order.
Q1 = 24
Q3 = 31
These are the left and right edges of the box.
We can cross choice A off the list because the right edge of the box in that diagram is at 29 instead of 31.
The answer is between C and D.
-------------
The last things to consider are the min and max, which are the smallest and largest elements. These are the left and right tips of the whiskers, assuming that we don't have small or large outliers. In this case, we don't have to worry about outliers.
The min and max is 20 and 34 which must mean the answer is choice C
We can rule out choice D because the max shown here is 35.
-------------
In short, the data set has the following five number summary:
min = 20Q1 = 24median = 27Q3 = 31max = 34all of these five values correspond to a specific visual feature of the boxplot (see diagram below)
Related Questions
What is a reasonable estimate for the area of a circle with radius 4cm?
Answers
Answer:
Option D
Explanation:
The real answer would be a bit higher if you use the formula:
Area=π×r^2
Cricket chirps: Temperature Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is the random variable representing temperature (F). These data are also available for download at the online study center.X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0X 15.4 16.2 15.0 17.2 16.0 17.0 14.4Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3Complete parts (a) through (e), given ?x= 249.8, ?y=1200.6, ?x^2= 4200.56, ?y^2= 96,752.86, ?xy= 20,127.47 and r = 0.835.A) Draw a scatter diagram displaying the data.B) Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.C) Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.D) Find the value of the coefficient of determination r ^2. What percentage of the variation in y can be explained by the corresponding variation in x and the least squares line? What percentage is unexplained?E) What is the predicted temperature when x= 19 chirps per second.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Using technology on the data above, the least square regression equation obtained is ;
y = 33.4528+2.7975x
Where, slope = 2.7975 ; Intercept = 33.4528
x = chirps per second, independent variable
y = temperature, predicted variable.
The Correlation Coefficient, r = 0.71
The Coefficient of determination, r² = 0.71² = 0.5041
The percentage of variation in y due to regression is the r² value, which is about 50.41%
Hence, the percentage variation in temperature due to the regression line is 50.4, while the rest is due to other factors.
Predicted temperature, y when x = 19 ;
Put x = 19
y = 33.4528+2.7975(19)
y = 86.60°
Abby sells beauty products. She has a monthly salary of $1000. She also earns 1%
commission on the first $8000 of her sales for the month and 4% commission on
sales over $8000. What is Abby's gross income for the month if her sales were $12
500
Answers
Answer: $1260
Step-by-step explanation:
Based on the information given, Abby's gross income for the month if her sales were $12500 will be:
= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]
= $1000 + (0.01 × $8000) + (0.04 × $4500)
= $1000 + $80 + $180
= $1260
Her gross income is $1260
The formula to find the area of a rectangle is: area = length x width.
Mason put a garden in his yard in the shape of a rectangle.
The garden is 7 feet long and 15 feet wide.
What is the area of the garden?
A. 22 square feet
B. 44 square feet
C. 75 square feet
D. 95 square feet
E. 105 square feet
Answers
Explanation : 7 x 15 = 105
The following frequency distribution presents the five most frequent reasons for hospital admissions in U.S. community hospitals in a recent year.
Reason Frequency (in thousands)
Congestive heart failure 990
Coronary atherosclerosis 1400
Heart attack 744
Infant birth 3800
Required:
a. Construct a frequency bar graph.
b. Construct a relative frequency distribution.
c. Construct a relative frequency bar graph.
d. Construct a relative frequency Pareto chart.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Reason \to Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990[/tex]
[tex]Coronary\ atherosclerosis\to 1400[/tex]
[tex]Heart\ attack \to 744[/tex]
[tex]Infant\ birth\to 3800[/tex]
Solving (a): Frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the frequency (on the y-axis).
See attachment
Solving (b): Relative frequency distribution
The relative frequency is calculated as:
[tex]RF = \frac{F}{Total}[/tex]
Where
[tex]Total = 990+1400+744+3800[/tex]
[tex]Total = 6934[/tex]
So, we have:
[tex]Congestive\ heart\ failure \to \frac{990}{6934} = 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to \frac{1400}{6934} = 0.2019[/tex]
[tex]Heart\ attack \to \frac{744}{6934} = 0.1073[/tex]
[tex]Infant\ birth\to \frac{3800}{6934} = 0.5481[/tex]
So, the relative distribution is:
[tex]Reason \to Frequency \to Relative\ Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to 1400 \to 0.2019[/tex]
[tex]Heart\ attack \to 744 \to 0.1073[/tex]
[tex]Infant\ birth\to 3800 \to 0.5481[/tex]
Solving (c): Relative frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the relative frequency (on the y-axis).
See attachment
Solving (d): Relative frequency Pareto chart
First, calculate the cumulative relative frequency
This is done by adding up the previous relative frequency,
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.2019+0.1427=0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.3446+0.1073 = 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 0.5481+4519 =1[/tex]
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 1[/tex]
Next, we simply plot the reasons (on the x-axis) against the cumulative relative frequency (on the right) and the left of the Pareto chart.
See attachment
Which trig ratio can be used to find the measure of angle A?
Answers
Answer:
arc cosine (4/5)
(the third answer)
Step-by-step explanation:
find the median of the pulse rates of 65, 74, 88, 77, and 92
Answers
Answer:
??
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
median is the middle value.
1. arrange in numerical order
65, 74, 77, 88, 92
2. cross out all outside numbers untill you find the middle value
65, 74, 77, 88, 92
3. it's 77
What is the minimum value of the absolute value parent function on
-10 SX< 10?
Answers
Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.
Answers
Answer:
The answer is "Option b"
Step-by-step explanation:
Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.
The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
From the table, we have the following values
F = 4.467
df between group = 2
df within group = 27
To reference the result, we make use of:
F(df between group, df within group) = F value
So, we have:
F(2, 27) = 4.47
The above result shows the F value approximated to two decimal points
Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
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The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches
Answers
Answer:
18
Step-by-step explanation:
Hope this help!!!
Have a nice day!!!
Plz help I’ll award brainliest!!!
Answers
That is the same as writing [tex]10\sqrt{30}[/tex]
======================================================
Explanation:
The diagram shows that
AC = 60AD = 50That must mean DC = AC-AD = 60-50 = 10
We'll use this to help find BD as shown below
AD/BD = BD/DC
AD*DC = BD*BD .... cross multiply
(BD)^2 = AD*DC
BD = sqrt(AD*DC) ..... geometric mean formula
BD = sqrt(50*10)
BD = sqrt(500)
----------------------
Now apply the pythagorean theorem to find AB. Focus on triangle ABD.
(AD)^2 + (BD)^2 = (AB)^2
(AB)^2 = (AD)^2 + (BD)^2
(AB)^2 = (50)^2 + (sqrt(500))^2
(AB)^2 = 2500 + 500
(AB)^2 = 3000
AB = sqrt(3000)
AB = sqrt(100*30)
AB = sqrt(100)*sqrt(30)
AB = 10*sqrt(30)
Evaluate the statistics expression:39C1
Answers
========================================================
Explanation:
You can use the nCr formula shown below
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where n = 39 and r = 1. However, you could also use the identity
[tex]_n C _{1} = n[/tex]
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.
9 divided by 1/5===================================
Answers
Answer:
here u go
Step-by-step explanation:
i got 45
which equation models the same quadratic relationship as function f? f(x)=x^2+12x+4 a) y=(x-6)^2+40 b) y=(x+6)^2-32 c) y=(x-6)^2-32 d) y=(x+6)^2+40
Answers
9514 1404 393
Answer:
b) y=(x+6)^2-32
Step-by-step explanation:
Add and subtract the square of half the x-coefficient to put into vertex form.
f(x) = x^2 +12x +4 . . . . . given
y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36
y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form
Answer:
B. Y=(x+6)²-32Step-by-step explanation:
hope it helps
Select all that apply.
There are 3 red marbles, 5 green marbles, and 2 blue marbles in a bag. Which of the following are true?
The probability of randomly drawing a red marble and then a green marble is .
The probability of drawing a green marble is the same as the probability of drawing either a red or a blue marble.
The probability of randomly drawing either a red marble or a green marble is 80%.
The probability of not drawing a blue marble is 20%.
Answers
Step-by-step explanation:
If there are 3 red marbles, 5 green marbles, and 2 blue marbles, we can find the probability of finding one of them easily.
1. If we add these numbers up, we get 10, so the red marbles plus the green marbles = 8 and then there are 2 blue ones. This means that there is an 80% chance of pulling a red or a green marble. Number one is correct.
2. The probability of drawing a red marble followed by a green marble depends on each individual probability. For a red marble, that is [tex]\frac{3}{10}[/tex] = 30% chance, and a green marble is [tex]\frac{5}{10}[/tex] = 50% chance. Since we are drawing out of 20 marbles (Two sets of ten), we can conclude that the chances for red are [tex]\frac{6}{20}[/tex]; green's chances are [tex]\frac{10}{20}[/tex], and blue's chances are [tex]\frac{4}{20}[/tex]. Assuming that we draw a red marble first, there is a [tex]\frac{6}{20}[/tex] chance of that. There is a [tex]\frac{10}{20}[/tex] chance of drawing a green, so we can conclude that the probability of drawing a red marble followed by a green marble is [tex]\frac{4}{20}[/tex] ([tex]\frac{10}{20}[/tex] - [tex]\frac{6}{20}[/tex]), witch is not [tex]\frac{1}{6}[/tex]. Number two is incorrect .
3. The probability of drawing a blue marble is 20%, so the probability of not drawing a blue marble is 80%. Number three is incorrect.
4. The probability of drawing a green marble is 50% and the probabilities of red and blue combined are equal to 50% (3 red + 2 blue = 5, and their are 5 green marbles therefore 50 50 chance). Number four is correct.
Answer:
The probability of randomly drawing a red marble(red 3) and then a green (green 5) marble is [tex]\frac{1}{6}[/tex] .
The probability of drawing a green marble is the same as the probability of drawing either a red or a blue marble.
The probability of randomly drawing either a red marble or a green marble is 80%.
A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is R=f(t)=350 ln tR=f(t)=350lnt with t>1.
Find f(5), f'(5), and the relative rate of change f'/f at t=5. Interpret your answers in terms of revenue.
Answers
Solution :
It is given that :
[tex]$f'(t) = (350 \ln t)'$[/tex]
[tex]$=350(\ln t)'$[/tex]
[tex]$=\frac{350}{t}$[/tex]
So, [tex]f(5)=350 \ln (5) \approx 563[/tex]
[tex]$f'(5) = \frac{350}{5}$[/tex]
[tex]=70[/tex]
The relative change is then,
[tex]$\frac{f'(5)}{f(5)}=\frac{70}{350\ \ln(5)}$[/tex]
[tex]$=\frac{1}{5\ \ln(5)}$[/tex]
[tex]$\approx 0.12$[/tex]
[tex]=12\%[/tex]
This means that after 5 weeks, the revenue from the DVD sales in $563 with a rate of change of $70 per week and the increasing at a continuous rate of 12% per week.
HELPPP PLEASEEESSS
Which best describes the triangle?
acute and scalene
80
right and isosceles
6 in.
6 in.
1)) obtuse and isosceles
50°
50°
7.7 in.
acute and isosceles
Answers
Answer:
acute and isosceles
Step-by-step explanation:
Define:
Acute - All angles have a measure of less than 90 degrees
Obtuse - has an angle with a measure of more than 90 degrees
Right - has an angle with a measure of 90 degrees
Scalene - no congruent side lengths or angles
Isosceles - two congruent sides and two congruent angles
Equilateral - all congruent sides and all congruent angles
Identify:
The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle
The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.
So we can conclude that the triangle can be identified as an acute isosceles
PLWASE HELP GEOMETRY
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right
angle with the ground. The other rope forms an angle of 60° with the ground. Which statements are correct?
Answers
Using trigonometry solve for h and d.
H :
Sin(60) = h/120
H = 120 x sin(60)
H = 103.9 = 104 feet
D:
Cos(60) = d/120
D = 120 x cos(60)
D = 60 feet
The correct answers:
A. D = 60 ft.
C. H = 104 ft
Profit = Revenue - Cost: P = R - C
(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.
Answers
Answer:
(a) R = P +C
Revenue= Profit + Cost
(b) R = $6000
Step-by-step explanation:
(b) R = $4525 + $1475
= $6000
Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair
Answers
However there is a probability that if u only pick 2 socks, then they could kid each have different COLORS.
By picking 3 socks (bearing in mind there are only 2 types of color) it’s guaranteed that two socks will have the same color.
what are the approximate measurements of each given measurement to the nearest centimetre, then find the sum: 16.4 cm + 12.8 mm + 9.6 cm + 14.6 mm
Answers
Answer:
54
Step-by-step explanation:
16.4= 16
12.8= 13
9.6= 10
14.6=15
16 + 13 +10 +15 = 54
What is the sum of the first 22 terms of
-18+-15+-12+-9+
Answers
Answer:
-54 is the answer
Step-by-step explanation:
hope you like it
What is the amplitude of the sine graph shown??????plz help asapppp
Answers
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude is the distance between the midline and the maximum/minimum. Because the midline is located at y=1, then the maximum and minimum are both 2 units apart from the midline. That is your amplitude.
Find the point-slope form for the equation of a line with slope 3/4 containing point
(-3,5).
Answers
Answer:
y-5 = 3/4(x+3)
Step-by-step explanation:
In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value
Answers
Answer:
d. Recent observed value
Step-by-step explanation:
Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.
Please help !!!!!!!!!!!!!!!!!
Answers
Calculate the GPA of a student with the following grades: B (13 hours), D (16 hours), C (13 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.
Answers
The GPA of the student, based on the given grades, is approximately 1.93.
Use the concept of probability defined as:
Given that,
Grades provided: B (13 hours), D (16 hours), C (13 hours)
Grade equivalencies: A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0
Credit hours associated with each grade: B (13 hours), D (16 hours), C (13 hours)
To calculate GPA,
Convert grades to their point values and calculate the weighted GPA
Point values for the given grades: B (3.0), D (1.0), C (2.0)
To calculate the GPA,
First, convert each grade to its equivalent point value.
For the given grades, we have:
B (13 hours) = 3.0
D (16 hours) = 1.0
C (13 hours) = 2.0
Now, calculate the weighted GPA by multiplying the point value of each grade by the number of credit hours and then summing them up.
In this case, it would be:
(3.0 x 13) + (1.0 x 16) + (2.0 x 13) = 81
Divide the sum of the weighted grade points (81) by the total number of credit hours (13 + 16 + 13 = 42) to get the GPA:
81 / 42 = 1.93
Hence,
Rounding to two decimal places, the GPA would be approximately 1.93.
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What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its value, and finally decreases by 62% of its value?
a.
0.22
c.
0.1824
b.
0.0496
d.
0.62
Answers
Answer:
c.
0.1824
Step-by-step explanation:
The computation of the decay factor is as follows;
= (1 - decrease percentage) × (1 - decrease percentage) × (1 - decrease percentage)
= (1 - 0.2) × (1 - 0.4) × (1 - 0.62)
= (0.8) × (0.6) × (0.38)
= 0.1824
hence, the decay factor is 0.1824
Therefore the option c is correct
Find an equation of variation where y varies directly as x and y = 7 when x = 0.5 .
Answers
Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x
PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.
Answers
Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.