the mean and the median of the given data set are 16.75 and 9.5 respectively.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given, A data set 8, 9, 10, 40
From the general formula of mean:
mean = (sum of observations) ÷ (total number of observations).
mean = (8 + 9 + 10+ 40)/4
mean = 67/4
mean = 16.75
Since the median is:
The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.
Thus,
the median of the given data set = (9 +10)/2
the median of the given data set = 9.5
Therefore, the mean and the median of the given data set are 16.75 and 9.5 respectively.
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2) The school that Imani goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket.
What is the price each of one senior citizen ticket and one student ticket?
The price of each ticket is given as follows:
Senior: $14.Student: $14.How to obtain the prices?The prices for each type of ticket are obtained via a system of equations, for which the variables are given as follows:
Variable x: price of a senior ticket.Variable y: price of a student ticket.On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252, hence:
12x + 6y = 252
2x + y = 42 (simplifying by 6).
y = 42 - 2x.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket, hence:
6x + y = 98
y = 98 - 6x.
Equaling the two equations, the value of x is obtained as follows:
42 - 2x = 98 - 6x
4x = 56
x = 56/4
x = 14.
Then the value of y is of:
y = 98 - 6(14)
y = 14.
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A rectangular prism is 8.8 centimeters long and 4.4 centimeters high. Its volume is 271.04 cubic centimeters. What is the width of the rectangular prism?
The height of the cylindrical concrete pillar is approximately 153.2 centimeters.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
We are given that;
Length of prism=8.8cm
Height=4.4cm
Volume=271.04 cubic centimeters.
Now,
We can use the formula for the volume of a cylinder to find the height of the pillar. The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
First, we need to find the radius of the pillar. The diameter of the pillar is given as 10 centimeters, so the radius is half of that:
r = 10/2 = 5 centimeters
Now we can substitute the given volume and radius into the formula and solve for the height:
12,042 = π(5)^2h
Divide both sides by π(5)^2:
h = 12,042 / (π(5)^2)
h ≈ 153.2 centimeters (rounded to one decimal place)
Therefore, by the given volume the answer will be 153.2 centimeters.
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I need help with this please and thank you.
Answer: 6x^2-x-1
Step-by-step explanation:
(3x+1)(2x-1) = 6x^2 - 3x + 2x -1
6x^2-x-1
What is 1 Litre equal to in cm3?
There are 1000 cubic centimetres in a litre (cm3). This is so because one cubic centimetre (cc) equals one millilitre (ml), and one litre (l) equals 1000 ml.
1000 ml make up 1 litre (L).
ml (millilitres) = cm3
1000 ml = 1000 cm3
1 L = 1000 cm3
One litre is equal to one thousand cubic centimetres (cm3). This is because one cubic centimetre is equivalent to one millilitre (ml), and one litre is equal to 1000 millilitres (ml). The subsequent actions can be conducted in order to calculate this. Initially, one litre (L) equals one thousand millilitres (ml). Second, one cubic centimetre is equivalent to one millilitre (cm3). Thus, one millilitre is equivalent to one hundred cubic centimetres. Last but not least, one litre equals one thousand cubic centimetres, or 1 L = 1000 cm3. Anybody wishing to translate between the two different volume measures will find this information valuable. For instance, if a recipe calls for a certain amount of an ingredient in litres, it is simple to convert that amount to cubic centimetres if necessary.
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Find the length of the missing side. Leave your answer in simplest radical form.
The length of the missing side is, 5 unit.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two sides of a triangle are, 3 and 4.
Now, We can use the Pythagoras theorem to find the missing side of a triangle as;
Let the missing side = x
⇒ x² = 3² + 4²
⇒ x² = 9 + 16
⇒ x² = 25
⇒ x = √25
⇒ x = 5
Thus, The missing side of triangle = 5 units
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Do anybody know the answer?
The solution of the equation y = - 7x + 1 are,
⇒ (6, - 41) and (- 8, 57)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = - 7x + 1
Hence, Substitute the given points into equation and check the solution as;
Put (x, y) = (- 6, - 35)
⇒ y = - 7x + 1
⇒ - 35 = - 7 × - 6 + 1
⇒ - 35 ≠ 43
Thus, It is not the solution.
Put (x, y) = (4, 27)
⇒ y = - 7x + 1
⇒ 27 = - 7 × 4 + 1
⇒ 27 ≠ - 27
Thus, It is not the solution.
Put (x, y) = (6, - 41)
⇒ y = - 7x + 1
⇒ - 41 = - 7 × 6 + 1
⇒ - 41 = - 41
Thus, It is the solution.
Put (x, y) = (- 8, 57)
⇒ y = - 7x + 1
⇒ 57 = - 7 × - 8 + 1
⇒ 57 = 57
Thus, It is the solution.
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Evaluate m³ +n if m= 1.2 and n = 13
Answer:
14.728
Step-by-step explanation:
m³ + n if m = 1.2 and n = 13
= (1.2)³ + 13
= 1.728 + 13
= 14.728
A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. What is the height of the cylinder?
Use 3.14 for pi.
Dont forget to track your thinking on paper. You will need this answer for the next problem.
Question 7 options:
94.2 cm
18.84 cm
30 cm
6 cm
6 cmAnswer:
Step-by-step explanation:
Choose the situation that best fits the equation:
x - 6
Choose the situation that best fits the equation:
x - 6
a. Elena has fewer roses than Lin. Lin has 6 roses and Elena has x roses.
b. Elena has more roses than Lin. Lin has 6 roses and Elena has x roses.
c. Elena has half the roses Lin has. Lin has 6 roses and Elena has x roses.
d. Elena has twice as many roses as Lin. Lin has 6 roses and Elena has x roses.
Answer:
a. Elena has fewer roses than Lin. Lin has 6 roses and Elena has x roses.
Step-by-step explanation:
Gina is making a square tablecloth. How much fabric does she need?
Answer:
Step-by-step explanation:
You need the area.
If this is a square - it is 54 × 54 = 2916 inches squared
1)
4 ft
5.4 ft
What is the area
Answer: 21.6
Step-by-step explanation:
length X height
4(5.4)=21.6
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
a. True
b. False
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.
The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.
The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.
The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.
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Select "Rational" or "Irrational" to classify each number.
2/3
π
400−−−
√36/2
The answer is:
2/3 - Rationalπ - Irrational400−−− - Rational√36/2 - RationalBecause it can be written as the ratio of two integers, 2/3 is a rational number (2 and 3).Since it has an unlimited number of non-repeating decimals after the decimal point and cannot be written as a finite or repeating decimal, is an irrational number.400 can be written as a ratio of two integers, making it a rational number (400 and 1).Because it reduces to 3, which is a ratio of two integers, 36/2 is a rational number (3 and 1). So, 36/2 makes sense.To know more about Rational and Irrational visit:
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How does a number line help to show that 3 divided by 1/4 is equal to 3x4
Answer:
To show that 3 divided by 1/4 is equal to 3x4 on a number line:
1. Draw a number line starting from 0 and mark every 1/4 division.
2. Label 3 divisions with the corresponding value '3'.
3. Move 4 divisions in the same direction as that of 3 divisions.
4. Mark the point at 4 divisions and label it as ’12’.
5. From the starting point to the point labelled ‘12’, there are 7 divisions.
6. Since each division represents a quantity of 1/4, dividing 3 by 1/4 (or multiplying by 4) will result in a total of 12, or 3x4.
Word problem with multiple decimal operations
Maria sells beaded necklaces. Each large necklace sells for $4.50 and each small necklace sells for $3.90. How much will she
earn from selling 1 large necklace and 4 small necklaces?
Answer: $20.10
Step-by-step explanation: If you multiply 3.90 by 4 and add 4.50 you get 20.10
Answer:
!20.1
Step-by-step explanation:
I got here by multiplying $3.90 by four and adding $4.50. This equals $20.1
Hence the answer is: She will earn $20.1
Brainliest Please
Write an equation for the table.
Pls help!
Answer:
Step-by-step explanation:
its 3.02
What is 25 mcg to mg ?
25 mcg is equal to 0.025 mg. both are unit of measurement of weight.
The prefix "mcg" stands for microgram, which is a unit of measurement in the metric system that is one millionth of a gram (10⁻⁶ g). On the other hand, "mg" stands for milligram, which is one thousandth of a gram (10⁻³ g). Therefore, to convert from mcg to mg, you need to divide the value in mcg by 1000.
In this case, 25 mcg divided by 1000 equals 0.025 mg. It's important to be mindful of the units when dealing with measurements, as confusion between different units of measurement can lead to incorrect calculations and dosing errors.
Overall, when converting from mcg to mg, you can easily make the conversion by dividing the value in mcg by 1000, as the prefix "milli" represents a factor of 1000 in the metric system.
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Use the distributive property to write an equivalent expresión for the perimeter of the triangle
The equivalent perimeter expression is 3 * 3
How to detemrine the perimeterFrom the question, we have the following parameters that can be used in our computation:
Side lengths = 3m, 3m and 3m
The perimeter of the triangle is the sum of the side lentths
So, we have
perimeter = 3 + 3 + 3
Using the distributive property, we have
Perimeter = 3 * 3
Hence, the perimeter expression is 3 * 3
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Complete question
The lengths of the sides of a triangle are represented by 3m, 3m and 3m.
WILL MARK BRAINLIEST drag and drop the discriptions into the box to correctly classify each pair of number angles each may be used more then once
The angles m∠1and m∠2 can be classified as vertical angles, while the angles m∠3 and m∠4 is not a linear pair, neither are they vertical or adjacent angles.
What is linear pairs, vertical angles, and adjacent angles?Angles are classified as a linear pair if they are formed by the intersection of two lines making them a pair of adjacent angles.
Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.
Two angles are said to be adjacent when they share a common vertex and one common side. Two adjacent angles sum up to 180°.
From observation, angles m∠1and m∠2 can be classified as vertical angles as they are vertically opposite each other.
But angles m∠3 and m∠4 cannot be classified as any of the three defined classes of angles.
In conclusion, angles m∠1and m∠2 are vertical angles, while the angles m∠3 and m∠4 is not a linear pair, neither are they vertical or adjacent angles.
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evaluate 9-6 when b =8
Answer:
Bx=8
Step-by-step explanation:
U always have to remember to put a “x” or “y” next to your letter it’s important.
Please somebody help me
Using mathematical operators, the value of the expression is 23
What is simplification of expressionSimplification of an expression is the process of reducing a mathematical expression to its simplest form while retaining the same value. This is done by using various rules and techniques, such as combining like terms, using the distributive property, and applying the order of operations.
The goal of simplification is to make the expression easier to work with and understand. It also helps to avoid errors when solving problems or simplifying more complex expressions.
In this expression given;
3(x + 2y) - 2x + 10 = ?
x = 1, y = 2
3(1 + 2(2)) - 2(1) + 10 = 23
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consider the system x+y=16 x-y=14
The solution of the given system of equations is (15, 1)
What is a system of equations?A system of equations is the set of equations in which we perform operations simultaneously to solve the equation.
Given that, is a system of equations is x+y = 16 and x-y = 14
Solving the system of equations,
Add both the equations,
(x+y = 16) + (x-y = 14)
2x = 30
x = 15
Put x = 15 in any equation to find y,
x-y = 14
y = 1
Hence, the solution of the given system of equations is (15, 1)
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The question is solved for consider the system x+y=16 x-y=14, find the solution of the system,
The coach of a college basketball team categorizes the number of points
scored by the team in each game, with the categories being 51 - 57, 58 - 64,
65-71, and 72 or more. If the following data represent the numbers of
points scored in the last 10 games, how many games were in the "72 or more"
category?
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
Ο Α. 2
B. 3
C. 1
OD. 4
The number of games in the "72 or more" category is 1.
What is Counting?Counting of numbers is the fundamental block in mathematics usually being used is natural numbers.
So natural numbers are also called counting numbers.
Given that the categories of the scores scored by the team in each game are done into 4 categories as 51 - 57, 58 - 64, 65-71, and 72 or more.
And the scores are given as,
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
Number of scores which are 72 or more = 1
Hence there is only 1 game which has the score in the category "72 or more".
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Suppose you spin
the spinner twice.
What is the
probability of
spinning a red,
then green?
P (red, green) =
? show your answer as
a fraction in lowest
terms. Enter the
numerator.
The probability of spinning a red, then green is 1/4.
What is probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.
The probability of spinning a red, then green is 1/4. This is because there are four equal parts on the spinner (red, blue, yellow, and green), and spinning red first and then green means that you have a 1 out of 4 chance of getting the desired result. Therefore, the numerator is 1 and the denominator is 4.
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Answer: It is 1/16
Step-by-step explanation: It said twice so you had to multiple 8 by 2 since there are 8 possible color panels.
PLS HELP ME OUT I CAN'T DO IT
Answer: x = 52 degrees
Step-by-step explanation:
90 degree - 38 degrees is 52
i hope this helped:)
I need an answer quickkkk i am timed
The vertical asymptote is at x = -2
The horizontal asymptotes are at y =0.
How to get the asymptotes?First, the vertical asymptote, it happens when the denominator becomes zero, then we need to solve:
-x - 2 = 0
x = -2
The vertical asymptote is at x = -2
For the horyzontal asymptotes we need to check the limit as x tends to ±∞, in both cases because x is only in the denominator, the function will tend to zero.
So we have two horizontal asymptotes at y = 0.
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.
Roselle has 2 cups of popcorn and 7 oz of soda for a total of 212 calories. Carmel has 1
cup of popcorn and 11 oz of soda for a total of 226 calories. Determine the number of
calories per cup of popcorn and per ounce of soda.
There are 50 calories per cup of popcorn and 16 per ounce of soda.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
Let's represent x be the number of calories per cup of popcorn
And let's represent y be the number of calories per ounce of soda.
The two equations are based on the given details:
2x + 7y = 212 ....(i)
1x + 11y = 226 ....(ii)
From equation (ii), we have
x + 11y = 226
x = 226 - 11y
Substitute the value of x = 226 - 11y in equation (i), and solve for y:
y = 16
Substitute the value of y = 16 in equation (ii), and we get
x = 50
Thus, the number of calories per cup of popcorn is 50 and the number of calories per ounce of soda is 16.
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What is the value of 45 out of 50 percent?
Answer:
22.5%
Step-by-step explanation:
45×50/100 gives you the answer using BODMAS
how to use travel time calculator ?
The specific steps for using a travel time are determining your starting point and destination, choose the mode of transportation, set any relevant parameters, review the results, adjust your plans if necessary.
Determine your starting point and destination: Enter the starting point and destination of your trip, typically using either the addresses or the names of the locations.
Choose the mode of transportation: Select the mode of transportation you plan to use for your trip, such as driving, walking, biking, or using public transit.
Set any relevant parameters: Depending on the travel time calculator you are using, there may be additional parameters you can set, such as the time of day you plan to travel or any stops you plan to make along the way.
Review the results: After entering the necessary information, the travel time calculator should provide you with an estimate of the travel time for your trip, as well as any additional information such as the distance traveled, estimated fuel cost, or suggested routes.
Adjust your plans if necessary: If the estimated travel time is longer than you expected or if there are any unexpected delays or road closures, you may need to adjust your plans accordingly.
Overall, a travel time calculator can be a useful tool for estimating travel times and planning your trip.
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What does a right skewed distribution mean?
A right skewed distribution means that the majority of the data falls to the left of the mean, with a long tail to the right. This can also be called a positive skew.
In this type of distribution, the median is typically less than the mean, and the mode is even smaller than the median. This type of distribution is common in data sets that have a lower bound but no upper bound, such as income or age.
The opposite of a right skewed distribution is a left skewed distribution, where the majority of the data falls to the right of the mean with a long tail to the left.
In a right-skewed distribution, the mean is typically greater than the median and the mode. This is because the mean is influenced by the values in the long tail on the right-hand side of the distribution, which pull the mean in that direction.
The median and mode, on the other hand, are less affected by the extreme values in the tail and are therefore more representative of the central tendency of the distribution.
Examples of right-skewed distributions include the distribution of income, where a few individuals have very high incomes that create a long tail on the right-hand side, and the distribution of test scores, where a few high-performing students may create a similar tail.
Right-skewed distributions are common in many natural and social phenomena, and understanding their properties is important for statistical analysis and modeling.
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