Answer:
(1,4)
Step-by-step explanation:
the Answer is: (x,y)=(1,4)
because the population distribution is skewed, the principal is considering using the median number of absences last month instead of the mean number of absences to summarize the distribution. describe how the principal could use a simulation to estimate the standard deviation of the sampling distribution of the sample median for random samples of size 50
The simulation to estimate the standard deviation of the sampling distribution of the sample median for random samples of size 50 is given as follows:
A for loop with 50 iterations.For each iteration, a sample is selected, then the median is computed and stored in an array.After the 50 iterations, the mean of these medians is computed.After computing the mean, the standard deviation is computed.What is sampling?Sampling is a technique for when a group of elements from a population is taken to represent the entire population.
Hence, for this problem, multiple samples of 50 students are taken, and for each sample, the median is computed and then stored in a list, according to the procedure described at the beginning of the answer.
Then, after the entire procedure runs, we will have a sample of 50 values, which represent the median for each sample. Then the standard deviation is calculated as the square root of the sum of the difference squared between each of these observations and the mean of all these observations, divided by 50, which is the cardinality of the data-set.
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boulder is flung out of the top of a 3,000 m tall volcano. The bouIders height, y, in meters, is a function of the horizontal distance it travels, x, in meters. The slope of the line representing the volcano's hillside is -5/3 At what height above the ground will the boulder strike the hillside?
Using the linear function y = -5/3x + 3000, the boulder will touch the ground at 1800m
Linear FunctionA linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
A model of a linear function is given as y = mx + c
where m is the slope or rate of change of the function and c is the constant value or y - intercept
In this function;
The slope is - 5/3 and the constant is 3000
m = -5/3c = 3000The linear function can be written as
y = -5/3x + 3000
The height at which the boulder will strike the ground, the value of y = 0
0 = -5/3x + 3000
5/3x = 3000
x = 1800
The point is at 1800m
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What is the formula for calculating the slope m of a line?
The formula or equation used to determine the slope of a straight line is as follows:
m = (Y₂-Y₁)/(X₂-X₁)
What is an equation?An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.
Equations can be graphed, they are used to model many problems and theories.
The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:
m = (Y₂-Y₁)/(X₂-X₁)
Where the points are:
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23.From the following information, prepare trading account for the year ended 31st March, 2013 Cash purchases Rs. 4,50,000; credit purchases Rs. 27,00,000; returns inward Rs. 60,000; cash sales Rs. 4,80,000; credit sales Rs. 33,00,000; returns outward Rs. 30,000; freight inwards Rs. 9,000; carriage inwards Rs. 9,000; wages and salaries Rs. 12,000; opening stock Rs. 4,50,000; closing stock Rs. 2,64,000 but its market value is Rs.2,52,000
The table showing trading account is given below
What is a trading account for a year?he trading account gives details of total sales, total purchases and direct expenses relating to purchase and sales. Trading account format for the year contains Particulars, Amount, Dr., Cr., Purchases, Sales, etc.
Given here,
Particulars Amount
Cash purchases Rs.4,50,000
Credit purchases Rs.27,00,000
Returns inwards Rs.60,000
Cash sales Rs.4,80,000
credit sales Rs.33,00,000
Returns outward Rs.30,000
freight inwards Rs.9000
carriage inwards Rs.9000
Wages and salaries Rs.12000
Opening stock Rs. 4,50,000
closing stock Rs. 2,64,000
Market value Rs.2,52,000
Hence the trading account for the year ended 31st March, 2013 is given above
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Which is a graph of y 3x − 1?
The graph of y=3x-1 will be a straight line that does not passes through origin.
What is straight line?A line is a geometry object that extends on both sides and is defined by zero width. Simply put, a straight line is a line devoid of bends. A straight line is one that has no curves and continues to infinity on both sides.
Write standard form of straight line.ax+by=c is the standard form of straight line.
A straight line serves as the visual representation of a linear function's graph.
The given function is as follows:
y=3x-1
A linear function looks like this:
y=mx+c
Where:
m=3: the slope
c=-1: the y-intercept
So given function has a different y-intercept than 0.
So, the resulting graph o does not cross through the origin.
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What is the value of b2 4ac for the following equation 2x2 2x 1 0 4120?
The value of b2 - 4ac for the equation 2x2 + 2x - 1 = 0 is 12.
The equation 2x2 + 2x - 1 = 0 can be written in the form ax2 + bx + c = 0, where a = 2, b = 2 and c = -1. The formula for calculating b2 - 4ac for this equation is
[tex]b2 - 4ac = (b2) - (4)(a)(c)= (2)2 - (4)(2)(-1)= 4 - (-8)= 12[/tex]
Therefore, the value of b2 - 4ac for the equation 2x2 + 2x - 1 = 0 is 12.
To calculate this value, the formula first finds the value of b2, which is the square of the coefficient of the x-term (2). Then it multiplies the coefficient of the x2-term (2) by the constant term (-1), and multiplies the result by 4. Finally, it subtracts the result of this multiplication from the value of b2.
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The table represents a quadratic function. Write an equation of the function in standard form.
The function's standard form equation is equivalent to [tex]\frac{-x^2}{4}+1=0[/tex].
A mathematical expression (equation) that can be used to define and represent the relationship between two or more variables on a graph is known as a quadratic function.
The standard form of a quadratic equation in mathematics is given by;
[tex]ax^2+bx+c=0\\y=f(x)=ax^2+bx+c[/tex]
Next, using the information in the previous table, we would create the following system of equations:
[tex]-3=a(-4)^2+b(-4)+c\\-3=16a-4b+c[/tex].......equation (i)
[tex]0=a(-2)^2+b(-2)+c\\0= 4a-2b+c[/tex]........equation(ii)
[tex]1=a(0)^2+b(0)+c\\1=c[/tex].........equation (iii)
Inputting the value of c into equations 1 and 2 results in:
[tex]-4=16a-4b[/tex]......ewuation(iv)
[tex]-1=4a-2b[/tex]......equation(v)
Equation 5 is multiplied by two and solved concurrently to yield:
[tex]-2=8a\\a=\frac{-2}{8} \\a=\frac{-1}{4}[/tex]
What we have for b's value is:
[tex]-1=4a-2b\\-1=4(\frac{-1}{4})-2b\\ -1=-1-2b\\2b=0\\b=0[/tex]
Inputting the values of a, b, and c into a quadratic equation in standard form:
[tex]ax^2+bx+c=0\\\frac{-1}{4}x^2+(0)x+1=0\\ \frac{-x^2}{4} +1=0[/tex]
When x equals 2, we get:
[tex]\frac{-x^2}{4} +1=0\\\frac{-2^2}{4}+1=0\\ \frac{-4}{4}+1=0\\ -1+1=0[/tex]
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what is the biggest number to mankind?
Answer:
googolplex
Step-by-step explanation:
it just is
Answer:
A Googolplex
Step-by-step explanation:
It is written as 10^googol and 10^10^100
Which of the following equations represents a proportional relationship? A. x=2.9 B. x+y=2.9 C. y=2.5/x D. y/x=2.5
The equation that represents a proportional relationship is y/X = 2.5. That is option D.
What is proportional relationship?A proportional relationship is the type of relationship that exist when between two variables which can be represented as y and x where a constant of proportionality exists between the two variables as k.
The relationship between these two variables can either be directly proportional or indirectly proportional.
The relationship that exists between X and y is a direct proportional relationship with a constant of proportionality of 2.5.
y = 2.5 X
= y/X = 2.5. Where 2.5 is the constant.
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Calculate. Then, write a situation to match this expression and explain what 48.78 ÷ 0.9 the quotient means in your situation.
Answer:
Calculate: 48.78/0.9 = 54.2
Write a situation: Richard has 48.78 ounces of grape juice that he wants to ration out for his friends at his birthday party. Each cup the friends get can hold 0.9 ounces of grape juice.
What does the quotient mean: The quotient, 54.2, means that Richard had given 54.2 ounces of grape juice to all of his friends combined.
Amadou misses 2% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 32?
The total free throws Amadou attempts, if Amadou misses 2% of the free throws he attempts in a season, he missed 32, is 1600.
What is the percentage?As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
Amadou misses 2% of the free throws he attempts in a season, he missed 32,
Calculate the total number of throws as shown below,
2% of x = 32
Here, x is the total number of throws,
0.02 × x = 32
x = 32 / 0.02
x = 1600
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How do you find the domain of A?
Take the function y = f(x), with the independent variable x as well as the dependent variable y, to determine the domain of a. If a value for x successfully enables the creation of a single value y using another value for x, it is said to be in the domain of the function f.
What is a domain?The collection of all potential inputs for a function is its domain.
For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
The set of numbers x for which a function is defined in a valid manner is known as the domain of the function.
A function's domain is referred to as a closed interval if it is specified across the interval a ≤ x ≤ b.
So, to find the domain of a, consider the function y = f(x), which has the independent variable x and the dependent variable y.
A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
Therefore, take the function y = f(x), with the independent variable x as well as the dependent variable y, to determine the domain of a. If a value for x successfully enables the creation of a single value y using another value for x, it is said to be in the domain of the function f.
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How do you know if an equation is consistent and independent consistent and dependent or inconsistent?
Now, when a system has at least one solution, it's called consistent. When it has only one solution, it's called independent. otherwise inconsistent
The classification which best describes the system of equations is; Consistent and dependent
A linear or nonlinear system of equations as the case may be is termed consistent if there is at least one set of values for the unknowns that satisfies each equation in the system. In essence, when substituted into each of the equations, they make each equation hold true.
Additionally, the system of equations is dependent because the value of each variable is dependent on the others.
Now, when a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.
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What is an example of an inverse relationship in math?
An inverse relationship in math is a relationship between two quantities where one quantity increases as the other decreases and vice versa.
An example of an inverse relationship is the relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.
The relationship between temperature in degrees Celsius (C) and temperature in degrees Fahrenheit (F) is defined by the following equation:
F = (9/5)C + 32
This equation shows that as the temperature in degrees Celsius increases, the temperature in degrees Fahrenheit decreases. For example, if the temperature in degrees Celsius is 20, the temperature in degrees Fahrenheit is 68. If the temperature in degrees Celsius is 40, the temperature in degrees Fahrenheit is 104.
Therefore, the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit is an inverse relationship.
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whats 78,563 divided by 98
Ty for whoever helps me <3
Answer:
801.66
Step-by-step explanation:
calculator
Answer:
801.6632653061
Step-by-step explanation:
.......
How do you find a prime number?
A prime number is a positive integer greater than one that has no positive integer divisors other than one and itself. To find if a number is prime or not, if a number is divide by any other positive number other than 1 and itself it is not a prime number.
What is a prime number?A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.
What is whole number?Complete numbers, the range of numbers that includes zero and natural numbers and not a decimal or fraction.
8 is not a prime number because 8 is divided by 2 and 4 other than 1 and itself.
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Is 8 a multiple yes or no?
Therefore , the solution to this problem is yes 8 has multiple which are 16,24,32 etc.
What is multiple?A multiple in mathematics refers to the product produced by multiplying two numbers or variable. In this instance, the number 7 is multiple by 56.
The expression is termed as multiple .Fun Facts is an additional example of multiples. 0 is a multiple of all numbers since it produces zero when multiplied by any other number.
Here,
There are eight multiples: 8, 16, 24, 32, 40, 48, 56, 64, 72, and so on.
There are two consecutive results in this sequence, and there is an 8-digit gap between each subsequent number and the one before it.
The results of multiplying any integer by other natural numbers are known as multiples.
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What is the y-intercept of y =- 5x?
Y- intercept for the line y = 5x is 0. This can be get from the standard equation for a line.
For the The standard equation for a line is,
y = ax + b
y is called the dependent variable because its value depends on the value of x
a is the slope of the line
x is called the independent variable because it can be any value
b is the y-intercept
Here y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero. The reason that this is the case is that when you set x=0 the value is plotted on the y axis because the equation for the y axis is the line defined by x=0. Any value in the x, y plane where x is equal to zero plots on the vertical line going through (0,0) or in other words the y axis.
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How can you determine if the two angles are congruent by AAS A?
By using the the application of ASA we can determine the two angles are congruent by AAS.
AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.
AAS congruence can be proved in easy steps.
Suppose we have two triangles ABC and DEF, where,
Diagram attaches at the end of the solution.
∠B = ∠E [Corresponding angles]
∠C = ∠F [Corresponding angles]
AC = DF [Adjacent sides]
By angle sum property of triangle, we know that;
∠A + ∠B + ∠C = 180 ………(1)
∠D + ∠E + ∠F = 180 ……….(2)
From equation 1 and 2 we can say;
∠A + ∠B + ∠C = ∠D + ∠E + ∠F
∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D
Hence, in triangle ABC and DEF,
∠A = ∠D
AC = DF
∠C = ∠F
Hence, by ASA congruency, (AAS: the application of ASA)
Δ ABC ≅ Δ DEF
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What is * in a math problem?
Answer:
it means multiply like the × symbol
Step-by-step explanation:
Find the indicated z-scores shown in the graph The graph is bell shaped, both ends are shaded. The number on the right is 0.0322 and the number on the left is 0.0322. The z-scores are (____,_____) use comma to seperate answers as needed. Round to two decimal places as needed
The z-scores are (-1.85, 1.85)
What is Z- score?An illustration of a standardised score is the z-score. A z-score calculates how far a data point deviates from the distribution's mean by standard deviation.
If a Z-score is 0, it indicates that the data point's score is identical to the mean score
Given:
If we look at the z score table we will get the value of z- score.
The value 0.0322 lies in horizontal row 1.8 and column 0.05.
Then, for left value 0.0322 is -1.85
and, for right value 0.0322 is 1.85.
Hence, the z-scores are (-1.85, 1.85)
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Can a 4 year old count to 100?
Yes, a 4 year old can typically count to 100.
What is counting?Counting is the process of determining the number of elements in a given set or group of objects. Counting is a basic numerical skill that is used in mathematics and other fields. It involves recognizing patterns and comparing numbers to identify how many items are in a given set. Counting is an important part of early childhood education, as it introduces children to the concepts of number and quantity.
Depending on the child's exposure to numbers, they may be able to count even higher. Counting to 100 is a fundamental skill that can be developed through practice and repetition. Teaching a 5 year old to count to 100 can be done through activities such as counting objects, counting steps, and playing counting games.
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for a ride on a rental scooter, bob paid an fee to start the scooter plus cents per minute of the ride. the total bill for bob's ride was . for how many minutes did bob ride the scooter?
The total cost for Bob's ride is C = x + m and no. of minutes of the ride is
m = C - x.
What is a numerical expression?A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.
Given, A ride on a rental scooter, bob paid a fee to start the scooter plus cents per minute of the ride.
Let, 'x' be the fee in cents to start the scooter and 'm' be the no. of minutes of riding.
Therefore, The total bill(C) for Bob's ride is,
C = x + m.
The no. of minutes Bob ride the scooter is simply,
m = C - x.
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What is an example of an inverse variation equation?
y = 3/x equation is an example of inverse variation between the variables x and y .
Now, According to the question:
The equation with the inverse variation between the variables 'x' and 'y' .
Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
y = 3/x is an example of inverse variation.
Hence, y = 3/x equation is an example of inverse variation between the variables x and y .
Let's know:
What is an Inverse variation equation?
Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
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The equation P = 0.00892t^2 + 1.1149t + 78.4491 models the
United States population, P, in millions since 1900. If t
represents the number of years after 1900, then what is
the estimated population in 2025 to the nearest tenth of a
million?
343.9
219.0
356.9
217.8
The estimated population in 2025 is 356.9
What is estimation ?
In math, estimating can be used to roughly calculate an answer (getting a "rough response") or to verify its accuracy (getting the "proper answer"). Even when estimating large numbers or decimal numbers, you shouldn't need to utilize a calculator or other documented techniques.
Estimation is frequently performed by sampling, which involves counting a small sample of a given thing and extrapolating that number to a wider population. Calculating the number of sweets of a particular size that are contained in a glass jar serves as an illustration of estimation.
There are 125 years from after 1900 to 2025
P = 0.00892t^2 + 1.1149t + 78.4491
P= (0.0089x125x125)+(1.1149x125)+78.4491
=139.0625+139.3625+78.4491
=356.87
=356.9
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in this 10 digit number 4,ABC,239,040 A B and C are digits. if the number is the product of 6 consecutive positive multiples of 3 what is the value of A + B + C
helppppppp
The value of A + B + C based on the information is A. 5.
How to illustrate the information?From the information, we have digit number 4,ABC,239,040 A B and C are digits. if the number is the product of 6 consecutive positive multiples of 3.
It should be noted that all multiple of 8 have it's digits add up to a multiple of 9. This can be illustrated as:
4 + A + B + C + 2 + 3 + 9 + 0 + 4 + 0
= 22 + A + B + C
This will be equated to 27 which is the nearest multiple of 9
22 + A + B + C = 27
A + B + C = 27 - 22
A + B + C = 5
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Complete question
In this 10 digit number 4,ABC,239,040 A B and C are digits. if the number is the product of 6 consecutive positive multiples of 3 what is the value of A + B + C?
A 5
B 6
C 7
D 8
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
The average change in water volume is (answer here)iter(s) per day.
The average change in the volume of water per day is obtained as 0.625 litres.
What is the rate change of volume?The rate change of volume is the change of volume with respect to time.
For instantaneous change the derivative of the expression of volume can be taken.
The average change in the volume of water can be obtained as follows,
Average change = Volume of water ÷ Number of days
= 2.5 ÷ 4 = 0.625
Hence, the average change in water volume is given as 0.625 liters per day.
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If a₁ = 4 and an = -4an-1 +5 then find the value of a5
If a₁ = 4 and an = -4an-1 +5 then the value of a5 is 72, in the given sequence.
What is sequence?A group of enumerated objects where repetitions are allowed and order is crucial is referred to as a sequence in mathematics. Similar to a set, it has members. The sequence's length is expressed in terms of its number of elements.
Given that, sequence
[tex]a_1=4, a_n=4 a_{n-1}+5[/tex]
Now
[tex]a_2=4 a_1+5[/tex]
[tex]a_2=4 \times 4+5[/tex]
[tex]a_2=21[/tex]
[tex]a_2=4 \times 4+5[/tex]
[tex]a_2=21[/tex]
And the common difference d = 21 - 4 = 17
Therefore [tex]a_5=a_1+4 d[/tex]
[tex]a_5=4+4 \times 17[/tex]
[tex]a_5=4+68[/tex]
[tex]a_5=72[/tex]
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help me pleaseee! asap would be lovely :)
Answer:
x = - 28/101
Step-by-step explanation:
Answer:
x=-42
Step-by-step explanation:
[tex]-3x-28=98\\(-3x-28)+28=(98)+28\\-3x=126\\\frac{-3x}{-3}=\frac{126}{-3}\\x=-42[/tex]
How do you find the length of a rectangle when given the area?
we will find the length of rectangle when area is divided by the breadth of rectangle.
what are the properties of rectangle?Some properties are rectangle are stated below:
1. rectangle has four right angles
2. rectangles has four sides and equal opposite sides which are parallel to each other.
3.rectangle has two diagonals which are similar in length.
which is the formula for finding the length?The bigger side lengths are called length and the smaller sides are called breadth of rectangle.
if area of rectangle is given, we can find length when area is divided by its breadth.
length = area/breadth
hence, length of rectangle is determined from the value of area and breadth.
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