Which of these data sets could best be displayed on a dot plot? 16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, 97 0. 012, 0. 078, 0. 093, 0. 147, 0. 187 721, 722, 722, 723, 724, 724, 724, 725, 727, 728, 730 1. 3, 1. 9, 2. 5, 2. 7, 2. 7, 3. 5, 4. 8, 5. 3, 7. 9, 9. 0 Done
Answers
16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, 97 in comparisson with the other data sets, the elements of the rest of data sets are closer to each other.
What is the definition of sets with example?
Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set
Take into account that dop plots are usefull for small or moderate sized data sets, and also they are suefull for data with big gaps.
Based on the previous description, you can conclude that the best option for a dot plot is:
16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, 97
in comparisson with the other data sets, the elements of the rest of data sets are closer to each other.
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Related Questions
Correct answer gets 5 star
Answers
Answer:
A. The function is Nonlinear.
A pyramid with a rectangle base has a volume of 60 cubic feet and a height of 6 feet the width of the rectangle base is 4 feet. finf the length of the rectanglr base
Answers
Answer:
The length is 2.5ft
Step-by-step explanation:
V=w*h*l=4·6·2.5=60
The Yankees won 125 games, the Red Sox won 97 games, and the Mets won 86 games.
What is the ratio of wins of the Yankees to the Red Sox to the Mets?
Answers
Answer:
127:97:86
Step-by-step explanation:
The yankees won 125 games
The Red Sox won 97 games.
The Mets won 86 games
Therefore the ratio of wins of the Yankees to the red Sox to the Mets can be shown as follows
127:97:86
a background count of 600 was recorded during a 30-minute counting time. how long should a sample be counted in order to have a 5% precision for the net counting rate, if the gross count rate is about 2000 cpm?
Answers
Answer: t ≈ 2,403,603
Step-by-step explanation:
z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)
σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)
E = the desired level of precision (in this case, 5% or 0.05)
Substituting the given values, we get:
σ = sqrt(600) = 24.49
t = (1.96 * 24.49 / 0.05)^2
percent increase from $29 by $6
Answers
Answer:
the approximate percent increase is 20%
Step-by-step explanation:
The graph shows total cost of a whitewater rafting trip and the corresponding number of passengers on the trip. Find ƒ(8), and explain what it represents.
Answers
Answer:f(n)=259
Step-by-step explanation:
F(n)=75+25(n-1)
F(n)= 75+25(7)
F(n)=75+175
F(n)=250
Approximately how long does it take a sample of francium-223 to decay by 50%?
A. 80 minutes
B. 100 minutes
C. 20 minutes
D. 40 minutes
Answers
By reading off the graph as shown in the question, we can see that the time that is required is 20 minutes.
What is the half life?The half life is the time that it taken for only half or 50% of the isotopes that were originally present in the sample to remain. We know that the half life does differ by the kind of sample that is used.
In this case, we want to determine how long does it take a sample of francium-223 to decay by 50%. This could easily be done from the graph of the decay as shown in the question.
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1. (8.15 × 4 ÷ 5) × 3.2
3. 17+ 8x (2.7÷ 6) – 3
5. 0.2 x (5-0.7) + 1.8 ÷ 2
2. 125 +32 x 2.2
4. 38.9 -2.3 × 1.5 + 2.6
6. 21.5÷5+ (8.06 - 12.5 ÷ 2)
Answers
Answer:
1) 20.864
2) 195.4
3) 17.6
4) 38.05
5) 1.76
6) 6.11
Step-by-step explanation:
(8.15 × 4 ÷ 5) × 3.2
= (32.6 ÷ 5) × 3.2
= 6.52 × 3.2
= 20.864
125 + 32 × 2.2
= 125 + 70.4
= 195.4
17 + 8 × (2.7 ÷ 6) - 3
= 17 + 8 × 0.45 - 3
= 17 + 3.6 - 3
= 17 + 0.6
= 17.6
38.9 - 2.3 × 1.5 + 2.6
= 38.9 - 3.45 + 2.6
= 38.9 - 0.85
= 38.05
0.2 × (5 - 0.7) + 1.8 ÷ 2
= 0.2 × 4.3 + 0.9
= 0.86 + 0.9
= 1.76
21.5 ÷ 5 + (8.06 - 12.5 ÷ 2)
= 4.3 + (8.06 - 6.25)
= 4.3 + 1.81
= 6.11
7 One Saturday afternoon, three friends decided to keep track of the number of text
messages they received each hour from 8 a.m. to noon. The results are shown below.
Emily said that the number of messages she received increased by 8 each hour.
Jessica said that the number of messages she received doubled every hour.
Chris said that he received 3 messages the first hour, 10 the second hour, none the third
hour, and 15 the last hour.
Which of the friends' responses best classifies the number of messages they received each
hour as a linear function?
1) Emily, only
2) Jessica, only
3) Emily and Chris
4) Jessica and Chris
Answers
A linear function is characterized by a constant rate of change.
1) Emily, only
Let's analyze each friend's claim:
Emily: She said her number of messages increased by 8 each hour.
This represents a constant increase and can be described as a linear function.
Jessica: She said her number of messages doubled every hour.
This represents an exponential growth and is not a linear function.
Chris: He received 3 messages the first hour, 10 the second hour, none the third hour, and 15 the last hour.
The changes are +7, -10, and +15, which are not constant.
This is not a linear function.
Based on this analysis, the answer is:
1) Emily, only.
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Triangle ABC is similar to triangle DEF. What is DE?
Answers
The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .
How to find the measure of DE ?To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.
The scale factor is:
= 31 / 8
= 3. 875
Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :
= 13. 7 x 3. 875
= 53. 09 units
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The temperature in Middletown Park at 6:00 AM last Sunday was 39.8 degrees Fahrenheit. The temperature was changing at a rate given by r(t) = 3.47 cos (pi t/12) + 0.046 where t is in hours after 6:00 AM last Sunday. At 10:00 AM last Sunday, the temperature in the park was increasing at a rate of about degrees per hour. From 6:00 AM to 1:00 PM last Sunday, the temperature in the park increased by degrees What was the temperature in the park at 1:00 PM last Sunday? degrees What was the temperature in the park at 4:00 PM Last Friday (5 days later)? degrees.
Answers
The temperature in the park at 4:00 PM last Friday was about 37 degrees Fahrenheit.
To find the temperature at 1:00 PM last Sunday, we need to integrate the rate of change of temperature over the interval [4, 7], since we're starting at 6:00 AM and going up to 1:00 PM (which is 7 hours later).
We have r(t) = 3.47 cos (pi t/12) + 0.046, so we need to integrate this expression over [4, 7]:
∫[4,7] r(t) dt = ∫[4,7] 3.47 cos (pi t/12) + 0.046 dt
Using the antiderivative of cos (pi t/12), which is (12/ pi) sin (pi t/12), we can evaluate this integral as:
= [3.47 (12/ pi) sin (pi t/12) + 0.046t] from 4 to 7
= [3.47 (12/ pi) sin (7 pi/12) + 0.046(7)] - [3.47 (12/ pi) sin (4 pi/12) + 0.046(4)]
= 39.8 + 2.18 ≈ 42 degrees Fahrenheit
So the temperature in the park at 1:00 PM last Sunday was about 42 degrees Fahrenheit.
To find the temperature at 4:00 PM last Friday, we need to find the temperature at the same time 5 days earlier, which is 7 * 24 + 4 = 172 hours earlier. We can use the same formula for r(t) and integrate over the interval [167, 172]:
∫[167,172] r(t) dt = ∫[167,172] 3.47 cos (pi t/12) + 0.046 dt
Using the antiderivative of cos (pi t/12), which is (12/ pi) sin (pi t/12), we can evaluate this integral as:
= [3.47 (12/ pi) sin (pi t/12) + 0.046t] from 167 to 172
= [3.47 (12/ pi) sin (14 pi/12) + 0.046(172)] - [3.47 (12/ pi) sin (13 pi/12) + 0.046(167)]
= 39.8 - 2.77 ≈ 37 degrees Fahrenheit
So the temperature in the park at 4:00 PM last Friday was about 37 degrees Fahrenheit.
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choose all the number lines that show equivalent fractions
Answers
Answer:
A and D show eqivalent fractions,
Step-by-step explanation:
2/8 = 1/4
The number lines that show equivalent fractions is; A and D.
Equivalent fractions are fractions that represent the same value but have different numerators and denominators.
Number line with fractions: 1/2, 2/8, 3/4, 4/6,1/4
The fractions on this number line first and fourth are equivalent because they represent the same value of half (1/2). The numerators and denominators are multiples of each other.
Based on the analysis, the number lines that show equivalent fractions are:
1/4 and 2/8
These number lines contain fractions that represent the same value, demonstrating equivalent fractions.
2/8 = 1/4
therefore, A and D show the equivalent fraction.
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suppose a random sample of 16 measurements is selected from a population with a mean of 43 and a standard deviation of 1.7. what is the mean and standard error of x?
Answers
The Mean is 43 and Standard Error of x is 0.7225
What is Statistics?
Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.
We are provided with the Sample Size (n) = 16
Mean (μ) = 43
Standard Deviation (σ) = 1.7
We need to find:
Standard Error of x
So, to calculate Standard Error of x we need to find variance first
Variance = (Standard Deviation)^2
Variance = 1.7 * 1.7 = 2.89
Standard Error = Variance / √Sample Size
Standard Error = 2.89 / √16
Standard Error = 2.89 / 4
Standard Error of x is 0.7225
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Find the slope of the line through
(-5, 18) and (11, 20)
Answers
Answer:
Slope = 1/8
Step-by-step explanation:
(20-18)/11- - 5)
= 2/16
= 1/8
Carla has a rectangular garden in her backyard. The width of the garden is 9 meters. The area of the garden is 360 square meters. What is the length of the garden? Show your work.
Answers
Answer:
l = 40 m
Step-by-step explanation:
The formula for area of a rectangle is
A = lw, where
A is the area in square units,l is the length,and w is the widthStep 1: Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):
360 = 9l
Step 2: Divide both sides by 9 to solve for l
(360 = 9l) / 9
40 m = l
Optional Step 3: We can check our answers by checking that the product of 40 and 9 is 360
40 * 9 = 360
360 = 360
The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?
Answers
131 x 2 = 262
462 - 262 = 200
200 / 2 = 100
Which point does not belong with the other three?
(0,−3)
(0, 0)
(4,−3)
(4, 0)
Question 2
Explain your reasoning.
The point that does not belong is the only point that is
.
Answers
because it is not located on either of the axes
Find the value of x to the nearest tenth. (figure not drawn to scale)
Answers
Answer:
16 +6=22 9 +x = 22
x=22-9
x= 13
Use the Venn diagram to calculate probabilities.
Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.
Which probabilities are correct? Select two options.
Answers
In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.
The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.
We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).
This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.
Therefore, the correct probabilities are:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.
The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3
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The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle
Answers
Answer:
the answer is 20
Step-by-step explanation:
in the question they want the shortest side length of the triangle and they gave you the perimeter.
what we want to find is the x value.
so,
perimeter= the sum of all sides.
substituting,
80= 5x + 32 + 2 (3x+2)
80= 5x +32+6x+4
80=11x+36
80-36=11x
44=11x
44/11=x
4=x
so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.
5*4=20
32
2 (3*4+2)=28
so the shortest length is 20.
we can also check our answer to see if it is correct.
20+33+28= 80.
one number is 9 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 1068, find the numbers
Answers
One number is multiple times the principal number. The numbers are 93, 837 and 193.
Given, one number is multiple times a first number.
A third number is 100 a greater number of than the primary number.
The amount of the three numbers is 1123,
We really want to track down the numbers.
allow the principal second and third numbers to be a, b, c respectively
According to given information, b = 9a - - - - (1)
c = 100 + a - - - - (2)
a + b + c = 1123 - - - - - (3)
presently substitute (1) and (2) in (3)
a + 9a + 100 + a = 1123
11a + 100 = 1123
11a = 1123 - 100
11a = 1023
a = 93
presently substitute a value in (1) and (2)
b = 9 x 93 = 837
c = 100 + 93 = 193
thus, the numbers are 93, 837, 193.
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A gardener made a scale drawing of a lawn with a scale factor of 1:4 The dimensions of her drawing are 15 inches long by 10 inches wide. Her partner plans to make another scale drawing of the lawn, but with a scale factor of 1:20. What are the dimensions of her scale drawing? O A. The length is 50 inches and the width is 75 inches, OB. The length is 3 inches and the width is 2 inches. O Q. The length is 75 inches and the width is 50 inches. O D. The length is 2 inches and the width is 3 inches.
Answers
Answer:
B is the correct answer
Step-by-step explanation:
what is the purpose of using prefixes in the metric system
Answers
The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.
If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying
Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.
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Match each description with the correct graph. Not all graphs will be used.
Prompt 1 My graph is non-proportional with a negative y-intercept.
Prompt 2 My graph is proportional with a negative slope.
Prompt 3 My graph is non-proportional with a positive slope.
Answers
Answer:
1. C
2. B
3. A
Step-by-step explanation:
When the doctor evaluates the nares, what finding could not be appreciated?
Answers
Answer:
Heart sounds
Step-by-step explanation:
Your doctor has allergic reaction, febrile rash, and meningitis in their differential for the patient.In a healthy adult, the heart makes two sounds, commonly described as 'lub' and 'dub. ' The third and fourth sounds may be heard in some healthy people, but can indicate impairment of the heart function. S1 and S2 are high-pitched and S3 and S4 are low-pitched sounds.extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
Answers
Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
What is extrapolation?
A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.
Predicting hypothetical values outside of a specific data set is the goal of extrapolation.
Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.
Hence, extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
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2 3/4 divided by 1 7/8
Answers
Answer:
1.4667
Step-by-step explanation:
If we 2 * 3/4 divided by 1 * 7/8 than we get, 1 * 7/15
What is mixed fraction?Mixed fraction is a combination of whole number and fraction.
To solve this,
We need to convert mixed fractions into fractions,
2 * 3/4 = (4 * 2) + 3 = 11/4
1 * 7/8 = (8 * 1) + 7 = 15/8
11/4 ÷ 15/8
11/4 × 8/15 = 22/15
1 * 7/15
Therefore, the correct answer of this is 1 * 7/15.
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Find the slope of the line that passes through (2, 5) and (2,2 ) WORTH 20 POINTS
Answers
Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______
Answers
Answer: A) $2.40 B) 3 C) $0.80
A, B, and C are in order of the blanks.
Answer:
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40
by the number of pounds, 3 lbs
So, the cost per pound is $0.80
Step-by-step explanation:
2.40 divided by 3 is $0.80
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A gas at a volume of 4 liters is at a pressure of 2 atm
Answers
the gas at a volume of 4 liters and a pressure of 2 atmospheres contains approximately 0.384 moles of gas. If a gas has a volume of 4 liters and is at a pressure of 2 atmospheres (atm), we can use the ideal gas law to find the other relevant properties of the gas.
The ideal gas law states:
PV = nRT
Where:
P = Pressure
V = Volume
n = Number of moles of gas
R = Ideal gas constant
T = Temperature
Assuming constant temperature and using the given values of P and V, we can rearrange the equation to solve for n, the number of moles:
n = PV / RT
Given:
P = 2 atm
V = 4 liters
R = 0.0821 L·atm/(mol·K) (ideal gas constant)
Let's assume a standard temperature of 273 K (0 degrees Celsius) for simplicity.
n = (2 atm) × (4 L) / (0.0821 L·atm/(mol·K) × 273 K)
n ≈ 0.384 moles
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