59,61,61,69,72,74,80 what is the median of the data
Answers
According to the given data we have the following numbers
59,61,61,69,72,74,80
According to the series of numbers above we can clearly see that there are seven numbers, therefore the median would be the number which is in the middle of the data.
69 is the number that is located at the middle of the serie, therefore the median would be the number 69.
Related Questions
In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard
deviation of 4.69, (a) how many scores are expected to be lower than 18.31 (one standard
deviation below the mean)? (b) How many of the 100 scores are expected to be below 32.38 (two
standard deviations above the mean)?
Answers
a). The number of scores which are expected to be lower than 18.31 is; 16 scores.
b). The number of scorers that are expected to be below 32.38 is; 98 scores.
Calculations involving normal distribution.As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.
First, since the mean is given as; 23 and the standard deviation is; 4.69.
By observation; 23 - 4.69 = 18.31 and
23 + 4.69 + 4.69 = 32.38.
a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.
Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.
b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.
Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.
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Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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during one semester, the time elaine spent doing homework or participating in extracurricular activities was 20 percent less than the time she spent attending class. if she spend a total of 981 hours attending class, doing homework, or participating in extracurricular activities, how many hours did she spend attending class?
Answers
Answer:
963 hours
Step-by-step explanation:
I subtracted 20 from the 981
The correct answer for the hours elaine spend attending classes is \(817.5\) hours.
Given,
The time spent doing homework was 20% less than the time she spent attending class.
Assume the time Elaine spent attending class is "x" hours.
So, the time spent on these activities is 0.2 * x hours.
Now, the total time spent attending class, doing homework, or in extracurricular activities is 981 hours.
The equation representing the total time is:
\(x + 0.2x = 981\)
solve for "x":
\(1.2x = 981\)
\(x= \dfrac{981}{1.2}\)
\(x= 817.5\)
Elaine spent approximately \(817.5\) hours attending class.
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Use the model to solve for x.
Answers
Answer:
\(x = 8\)
Step-by-step explanation:
If I'm understanding the model correctly, we begin with this equation:
\(2x+5 = 3x-3\)
We start by adding \(3\) to both sides.
\(2x+8 = 3x\)
Then, we will subtract \(2x\) from both sides to get our answer:
\(8 = x\)
easy! please help :( The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
Choosing which 2 books describes a pair of dependent events?
Answers
None of the chosen pairs will be dependent as nothing is specified.
What are dependent and independent events?Independent events are those events whose occurrence does not have any effect on the events that may occur or occurred.
Dependent events are those vents whose occurrence either depends on some other event or has an effect on occurring or occurred vents.
Given, The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
As not mentioned that what kind of book he chooses first or types of book.
Also which shelf he chooses first choosing the first book is independent
and choosing the second book is also independent so none of the chosen pair will be dependent.
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I need help please Can you help me
Answers
The rate of the proportional relationship is k = 200 rows per minute.
How to find the rate of the proportional relation?A proportional relationship between two variables x and y is written as:
y = k*x
Where k is the constant of proportionality or rate of change.
Using a pair of values of (x, y) and replacing them in the equation above, we can find the value of k.
The first point is (1, 200), replacing these values:
200 = k*1
200/1 = k
So Cole rows 200 meters per minute.
If we use the second point (2, 200) we will get the same rate:
400 = k*2
400/2 = k
200 = k
And so on if we use any point.
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PLEASE HELP!
Anna is considering writing and publishing her own book. She estimates her revenue equation as R= 6.53x, and her cost equation as C = 10,125 + 1.11x, where x is the number of books she sells. Find the minimum number of books she must sell to make a profit.
Answers
When the revenue equation equals the cost equation, Anna breaks even. Therefore, to generate a profit, she must sell more than the break-even units, that is > 1,868 books.
What is the profit equation?The profit equation is given by the difference between the revenue equation and the cost equation.
When the revenue and costs are equal, there is a break-even.
When a unit more than the break-even point is produced and sold, the company starts generating profit.
Let the number of books she sells = x
Revenue equation:R= 6.53x
Cost equation:C = 10,125 + 1.11x
To break even, R = C
Therefore
6.53x = 10,125 + 1.11x
5.42x = 10,125
x = 1,868
To make profit, x > 1,868
Thus, for Anna to make profit from selling the book she published, she must sell more 1,868 books.
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Hash 1 has an input data which is 2 characters long while Hash 2 has an input data which is 300000 characters long. Choose the correct option
Answers
The correct option on Hash 1 and Hash 2 is C. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.
What is the difference between Hash 1 and Hash 2 ?The main difference between Hash 1 and Hash 2 is the amount of input data they can process. Hash 1 can process input data that is 2 characters long, while Hash 2 can handle input data that is up to 300,000 characters long. This means that Hash 2 is better suited for processing larger datasets than Hash 1.
In terms of which hash function is better suited for different types of data, it depends on the specific application and the characteristics of the data being processed. For example, if the data being hashed is small and of low complexity, Hash 1 may be a good choice due to its speed and simplicity.
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The options for this question include:
Hash 1 is designed to work with large input data, while Hash 2 is optimized for processing small input data.Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing small input data. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.Hash 1 is designed to work with large input data, while Hash 2 is optimized for processing large input data.Find the volume of a sphere with a diameter of 16 meters
Answers
Answer: V≈2144.66m³
Step-by-step explanation:
Y=6x-1, y=3x-4 the solution is_____
Answers
Answer:
y= -7 and x= -1
Step-by-step explanation:
To do this, line up the variables so it looks like this...
y-6x=-1
y-3x=-4
The reason why -6x and -3y changes to negative is because that it moved to the other side of the equation.
distribute negative to the bottom equation because the two equations have the same number variable which is y...
y-6x=-1
-y+3x=4
Y cancels out and it will be left with -3x = 3.
X = -1.... plug that in to any of the two equation and you get y = -7.
Hope I helped and have a nice day!!
Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. 2(cos 105 deg + i * sin 105 deg) )^ 3
Answers
2(cos 105° + i sin 105°) = 2(cos(105°) + i sin(105°)) = 2(0.2588 + 0.9659i) = 0.5176 + 1.9318i
Now, we can use DeMoivre's Theorem to find the cube of this complex number:
(r(cos θ + i sin θ))^n = r^n(cos nθ + i sin nθ)
So, we have:
(0.5176 + 1.9318i)^3 = (2.0144 - 1.9416i)
Therefore, the indicated power of the complex number is (2.0144 - 1.9416i) in rectangular form.
Find the 10th term of the sequence if the explicit function/formula is f(n)=100+10n
Answers
Answer:
The 10th term of the sequence is 200.
Step-by-step explanation:
Given that,
The sequence is as follows :
f(n)=100+10n
We need to find 10th term of the sequence.
Put n = 10 in the given expression.
f(10)=100+10(10)
= 100 + 100
= 200
Hence, the 10th term of the sequence is 200.
√√96
√8
Ο 213
Ο 4
Ο 222
D. 12
Answers
Answer:
2sqr3, the first option
Step-by-step explanation:
Warm-Up
Jug
Use the diagram below to answer the questions.
Intro
K
P
M
Which are shown on the diagram? Check all that apply.
O
OKM
Ojk
OPK
OLJK
COM
Dong
Answers
KM, JK, PK, and MJ are shown on the diagram.
Then the correct options are B, C, D, and F.
Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
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Jessica is in an art lesson. She decides to pick a coloured pencil from her pencil case at random for her next drawing.
She has 10 coloured pencils in her pencil case, and 8 of them are yellow. What is the probability, as a percentage (%), that she picks a yellow pencil?
Answers
The probability that Jessica picks a yellow pencil is 80%.
What exactly is probability?
Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.
Now,
The probability of picking a yellow pencil = the number of yellow pencils / total number of pencils:
Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils
In this case, there are 8 yellow pencils out of a total of 10 pencils:
Probability of picking a yellow pencil = 8 / 10
Simplifying the fraction by dividing both the numerator and denominator by 2, we get:
Probability of picking a yellow pencil = 4 / 5
Probability of picking a yellow pencil = 4 / 5 x 100%
Probability of picking a yellow pencil = 80%
Therefore, the probability that Jessica picks a yellow pencil is 80%.
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On the coordinate grid, the graph of y = RootIndex 3 StartRoot negative x minus 1 EndRoot is shown. It is a reflection and translation of y = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 2, 1), has an inflection point at (negative 1, 0), and goes through (7, negative 2). What is the range of the graphed function? {x |-2 < x < 2} {y |-2 < y < 2} {x | x is a real number} {y | y is a real number}
Answers
Answer:
Step-by-step explanation:
B {y |-2 < y < 2}
write an algebraic expression for y multipied by z
Answers
Answer:
y(z)
Step-by-step explanation:
sorry that was my opinion
Add the fraction and whole numbers
5 13/16 +
2 1/8 +
3 3/4
Answers
Answer:
The sum of the three mixed numbers is 11 and 9.5/16.
Step-by-step explanation:
5 and 13/16
2 and 1/8 = 2 and 0.5/16
3 and 3/4 = 3 and 12/16
10 and 25.5/16
11 and 9.5/16
Answer:
\(11\frac{11}{16\\} \\\)
Step-by-step explanation:
Separate fractions and whole numbers
5 2 3 13/16 1/8 3/4
Add whole numbers and fractions (where the denominator is 16)
5+2+3=1
13/16+1/8+3/4 =
13/16+2/16+12/6=
27/16 =
\(1\frac{11}{16\\} \\\)
27/16+10 = \(11\frac{11}{16\\}\)
x-2/5=2/3-3x-2/6
solve for x
Answers
Hey can someone help me with this?
Answers
Answer:
m∠MON = 24°
Step-by-step explanation:
m∠LOM and m∠MON add up to 90°.
Step 1: Find x
2x + 46 + 3x - 6 = 90
5x + 40 = 90
5x = 50
x = 10
Step 2: Find m∠MON
m∠MON = 3x - 6
m∠MON = 3(10) - 6
m∠MON = 30 - 6
m∠MON = 24°
Convert 6400000 milligrams to kilograms
Answers
Answer:
Your answer is 6.4 kilograms :D
Step-by-step explanation:
Answer:
6.4 kilograms
Step-by-step explanation:
weight converter
)
Each Northern Airlines jet plane can
carry 23 passengers. Every plane is a
Boeing 737. Today the airline carried
one thousand, one hundred fifty
passengers. How many loaded flights
did they fly?
Answers
Answer:
50
Step-by-step explanation:
^^^^^^^^^ (please give me brainliest)
sara mailed 20 christmas cards. of them were mailed to canada. what percentage of the cards were mailed to canada
Answers
Answer:
45%
Step-by-step explanation:
9/20
Using the formula r = d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 185 miles in 2.5 hours?
Answers
The formula is:
\(r=\frac{d}{t}\)r is the rate
d is the distance in miles
t is the time in hours
From the question:
d = 185 miles
t = 2.5 hours
r = ?
Let us substitute d and t in the formula above to find r
\(\begin{gathered} r=\frac{185}{2.5} \\ r=74\text{ miles/h} \end{gathered}\)The rate is 74 miles/hour
Name three collinear points.
Answers
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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A group of five will rent a car for a spring break trip and divide the costs associated with the car among them. The rental costs $480 for the week. Insurance is an additional $175, they estimated they’ll use 120 gallons of gas, and gas costs around $2.80 per gallon. Estimate how much each friend will pay for the cost associated with the car
Answers
Solution:
Given:
\(\begin{gathered} car\text{ rental cost}=\text{ \$}480 \\ Insurance=\text{ \$}175 \\ Gas=120\times2.80=\text{ \$}336 \end{gathered}\)Thus, the total cost associated with the car is;
\(480+175+336=\text{ \$}991\)Each friend will pay;
\(\frac{991}{5}=\text{ \$}198.20\)Therefore, each friend will pay $198.20
Find the value of x in the image
Answers
Answer:
Step-by-step explanation:
73 = x + 85
x + 85 = 73
x = -12
(-12) is the value of x.
A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?
Answers
Answer:
18.6
Step-by-step explanation:
Answer:
18.6
Step-by-step explanation:
trust me brotha plz give me like
PLEASE HELP ME!!!
Write the equation of the line
passes through the points (-6,6) and (3, 12).
Answers
How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
Answers
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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