To find the median of a set of numbers, we need to first put the numbers in order from least to greatest. In this case, the ages of the Carnegie children are 3, 9, 18, and 24 years old. Since there are 4 numbers in this set, the median is the average of the middle two numbers, which are 9 and 18. The median of the ages of the Carnegie children is (9 + 18) / 2 = 27 / 2 = 13.5 years old.
To find the mean of a set of numbers, we need to add the numbers together and then divide the sum by the number of numbers in the set. In this case, the sum of the ages of the Carnegie children is 3 + 9 + 18 + 24 = 54 years old. Since there are 4 children, the mean age is 54 years / 4 children = 13.5 years old. Therefore, the mean of the ages of the Carnegie children is 13.5 years old.
Answer:
Median: 13.5
Mean: 13.5
Step-by-step explanation:
To get the median, take the middle value. Since there are two middle values, add them together and divide them by two.
To get the mean, add all the values together and divide the sum by the number of values. In this instance, mean and median are the same.
How many years should I pay for SSS?
Answer:
A 120 month contribution.
The Christmas Tree store has a parking lot that will
hold 1000 vehicles. 2/5 of the parking spaces are
for cars. When you went to buy your tree, there
were 200 cars and some trucks in the parking lot.
The parking lot was 3/4 full. How many trucks were
in it?
Answer:
550
Step-by-step explanation:
3/4 x 1000 = 750
The parking lot has 750 cars and trucks. Subtract out the 200 cars and we are left with 550 trucks.
What is the formula for 3 consecutive numbers?
The formula for 3 consecutive numbers is n + 1, n + 2, and n + 3, where n is an integer.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
(n + 1) and (n + 2) will be the next two consecutive integers if n is an integer. Let n, for instance, be 1. Its consecutive integers are either 2 or 3, or 1 + 1 + 2.
Thus, the formula is:
n, n+1, n+2, n+3,…
consecutive Even Numbers:
The endings of even numbers are 0, 2, 4, 6, or 8. Zero, two, four, six, eight, ten, twelve, and so on are examples of consecutive even numbers.
consecutive Odd numbers:
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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1. What does the trend look like
2. Do the variables show a positive, negative correlation? Or is there no apparent relationship between them
Answer:
No relationship
Step-by-step explanation:
What theorem is being applied if two triangles of one triangle are congruent to two angles of another triangle and the triangles are similar?
Triangle congurent theorem is being applied if two triangles of one triangle are congruent to two angles of another triangle and the triangles are similar.
Angle-Side-Angle (ASA) theorem states that if two triangles are considered congruent, then the two corresponding angles equal to each other will include a corresponding side that is equal to each other.
By applying the Side Angle Side Postulate (SAS), you can also be sure your two triangles are congruent. Here, instead of picking two angles, we pick a side and its corresponding side on two triangles.
The SAS Postulate says that triangles are congruent if any pair of corresponding sides and their included angle are congruent.
Perhaps the easiest of the three postulates, Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle.
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A 12-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?
The height of the wall where the ladder reaches will be 6.33 feet.
What is a Pythagoras theorem?It expresses that the region of the square whose side is the hypotenuse is equivalent to the amount of the region of the squares on the other different sides.
The Pythagoras theorem formula is given as
H² = P² + B²
A 12-foot stepping stool is set against an upward mass of a structure, with the lower part of the stepping stool remaining on level ground 10 feet from the foundation of the structure.
The height of the wall where the ladder reaches will be calculated as,
12² = P² + 10²
144 = P² + 100
P² = 44
P =6.33 feet
The level of the wall where the stepping stool arrives freely will be 6.33 feet.
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How many turning points can a degree 5 function have?
A degree 5 function can have up to five turning points. These turning points are also known as stationary points, inflection points, or extrema.
A degree 5 function is a polynomial of degree 5. This means that it is a function of the form f(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f, where a, b, c, d, e, and f are constants. The degree of a function is determined by the highest power of the variable in the equation. In this case, the highest power of x is 5, and so the degree is 5. A degree 5 function can have up to five turning points. These turning points are also known as stationary points, inflection points, or extrema. A stationary point is a point on the graph of the function where the slope of the graph is either 0 or undefined, and an inflection point is a point on the graph of the function where the concavity of the graph changes. In order for a function to have a turning point, the derivative of the function must equal 0 at that point, and the second derivative of the function must not equal 0. If the second derivative does equal 0 at the point, then the point is a point of inflection, rather than a turning point. The number of turning points of a degree 5 function can be determined by finding the number of real roots of the equation f'(x) = 0, where f'(x) is the derivative of the function f(x). Since the degree of the derivative of a degree 5 polynomial is 4, this equation will have up to 4 real roots. This means that the degree 5 function can have up to five turning points.
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find the measure of angle b
How to find the missing number in integer array of 1 to 100 in Java?
Finding the missing number from the first 100 numbers in the given array arr[] of size N-1 with integers in the range [1, N] is the task. The list doesn't contain any duplicates.
Java method for locating a missing integer in an array of integers from 1 to 100
Make a temp array temp[] of size n + 1 with a value of 0 for each element.For each element in the input array arr[i], perform the following.If (temp[arr[i]] == 0), then temp[arr[i]] is 1.traverse temp[] and output an element of an array with the value of 0. (This is the missing element).class GFG; import java.io.*; import java.util.*
public static void findMissing(int arr[], int N)
{
int i;
int temp[] = new int[N + 1];
for (i = 0; i <= N; i++) {
temp[i] = 0;
}for (i = 0; i < N; i++) {
temp[arr[i] - 1] = 1;
} int ans = 0;
for (i = 0; i <= N; i++) {
if (temp[i] == 0)
ans = i + 1;
} System.out.println(ans);
}
public static void main(String[] args) {
int arr[] = { 1, 3, 7, 5, 6, 2 };
int n = arr.length; // Function call
findMissing(arr, n);
}
}
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Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
f(-3)= -6
f(0) = 0
f(4)= 36
Is this the hypotenuse leg or am i wrong
The missing reason in the flowchart would be SAS.
Option (D) is correct.
What is the SAS congruence theorem?
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
In the given figure,
Side RC ≅ Side TN ---- Given
Side HX ≅ Side XK ----Given
Angle RHK ≅ Side HKN --- Vertical angles are congruent.
Hence, ΔRHX ≅ NKXΔ ----- (SAS congruence)
Hence, the missing reason in the flowchart would be SAS.
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Which graph represents the line described by the given point (- 2, 3) and slope 0
The graph of the line parallel to x-axis and passes trough the point (-2,3).
What is slope of a line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.
Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is
m = Δy/Δx = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line can be shown as
tan θ = Δy/Δx.
Given that the slope of the line is 0. Thus the angle between the line with the x-axis is 0 degree as tan 0° = 0.
The line is parallels to x-axis.
The equation of the line that is parallel to x-axis is y = a.
Since the line passes through the point (-2,3), thus it will be satisfies the equation line.
Putting x = -2 and y = 3
a = 3
The equation of the line is y = 3
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The number of ubcriber to a treaming video ervice double each week. The function f(x)=2x repreent the number of ubcriber in week x. When are there 64 ubcriber?
The value of x is six when f(x) = 64, and there are 64 subscribers completed on a training video service at week 6. So, correct answer is option (A).
What is exponential function?In the exponential function, the independent variable or x-value is the exponent and the base is constant. The exponential formula is y = abˣ, where a and b are constants. For example, y = 2ˣ is exponential.
We have, the number of subscribers of a training video is double each week. The function f(x) represent the number of ubcriber in week x, f(x) = 2ˣ
we have to calculate value of x that is week when f(x) = 64 or there is 64 subscribers. So, 2ˣ = 64 --(*)
Introducing logarithms both sides of equation (*) we get,
=> log (2ˣ) = log 64
=> x log 2 = log 64 (log rule, log aˣ= x log a)
divide both sides by log 2
=> x log 2/log 2 = log 64/log 64
=> x = log 64/log 2 = log (2⁶)/ log 2
=> x = 6 log 2/log 2 = 6
so, x = 6 , Hence, the required week i.e x is 6.
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Complete question:
the number of subscribers to a streaming video service doubles each week. The function f(x)=2^x represents the number of subscribers in a week x. when are there 64 subscribers?
A. week 6
B. week 7
C. week 32
D. week4
How does a graph of a linear equation in two variables look like?
The graph of a linear equation in two variables is a straight line.
The general linear equation in two variables is ax + by + c = 0, where a, b, c are constants. Also, a and b cannot both equal zero at the same time. In order to graph of a linear equation in two variables ax + by + c = 0, we simply assume a set of values for x and calculate the respective set of values for y.
So we have a set of coordinates (x, y). Now plot the points on graph and join them.
The graph formed will be a straight line.
The point at which the line (graph of a linear equation) crosses the y-axis is the y-intercept and the point at which the line (graph of a linear equation) crosses the x-axis is the x-intercept.
Therefore, the graphing of all ordered pairs that satisfies a linear equation in two variables gives a straight line.
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What are 3 consecutive odd numbers of 105?
The three consecutive odd numbers of the number 105 are:
107, 109 and 111
What are consecutive numbers?Consecutive numbers are those numerical values that are found just after a specific number or value, for example consecutive numbers from 10 will be 11 onwards.
To solve this problem we must have clear which is our base number, and this is 105, as we will determine the consecutive numbers we must add +1, +2.... as many times as we want, now as we only want the odd numbers and 105 is odd we will proceed to add multiplies of 2:
+2, +4 and +6, having as a result the following numbers:
105 + 2 = 107105 + (2x2) = 109105 + 6(2x2x2) = 111The consecutive and odd numbers will be 107, 109, 111.
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25. how many strings of three decimal digits a) do not contain the same digit three times? b) begin with an odd digit? c) have exactly two digits that are 4s?
Using combination formula and analyzing the cases provided, The answer is 120,225 and 30.
What do you mean by combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
What is the formula to calculate combination?The required formula is:
[tex]C(n,r) = \frac {n!}{r!(n-r)!}[/tex]
number of digits that can be asserted in a position = 10 (0-9)
places to be filled = 3
If it do not contain the same digits three times, The number of strings of three decimal digits = C(10,3)
=[tex]\frac {10!}{3!*(10-3)!}[/tex]
=120.
If it begin with odd numbers, The numbers that can be filled at the start=5
for last two places = C(10,2)
=[tex]\frac {10!}{2! * (10-2)!}[/tex]
=45
Total number of strings=5*45 = 225
If it have two digits 4s, The number of possible cases of having two 4s= 3
For a remaining spot= C(10,1)
=[tex]\frac {10!}{1!(10-1)!}[/tex]
=10
Total number of strings = 3*10=30
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What is the formula of rectangle pyramid?
The volume of a rectangular pyramid is one-third of the volume of a cuboid the pyramid is inscribed in with same base. That is the formula for volume of pyramid is,
V = l×b×h/3
A rectangular pyramid is a solid with a rectangular base area and 4 triangular faces, one face on each edge of the base joining at the top vertex. Generally, a rectangular pyramid is a right rectangular pyramid.
Let us say the rectangular pyramid we are considering has a dimension of l×b base, where l and b are the length and breadth of the base area and h is the height of the pyramid. Then the formula of volume of rectangular pyramid is
V = l×b×h/3
--The question is incomplete, answering to the question given below--
"What is the formula of volume of rectangular pyramid?"
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Enter the following data into a graphing calculator. (5, 3) (7, 7) (12, 11) (-2, -3) (-1, 0) (5, 6) (-7, -2) (0, -2) What is the equation of the line of best fit? Round your answer to the nearest hundredth.
The equation of the linear line that best fit the given points is y = (7/8)x + 7/8.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
The line passes through points (-1,0) and (7,7) will be the best fit as it is at the smallest distance between all points.
The linear function associated with the point (-1,0) and (7,7) will be as,
y - 0 = [(7 - 0)/(7 + 1)](x + 1)
y = (7/8)(x + 1)
y = (7/8)x + 7/8
Hence "y = (7/8)x + 7/8 is the equation of the linear line that best fits the provided points".
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Are quadrilaterals 11 sides?
Therefore , the 11 sides polygon cannot be a quadrilateral.
Describe quadrilateral.A polygon with four sides, four angles, and four vertices is referred to as a quadrilateral. A sort of polygon called a quadrilateral has sides that are defined in a certain way. The quadrilateral in the illustration below, for instance, can be defined as ABCD, ADCB, BCDA, CDAB, etc.
Here,
the quadrilateral
Each of them consists of four vertices.
Each side consists of four sides.
360 degrees is the sum of all interior angles.
Two diagonals are present.
There are both regular and irregular quadrilaterals.
It must have four equal sides, four equal angles, and diagonals that cross in order to be regarded as a quadrilateral.
Therefore , the 11 sides polygon cannot be a quadrilateral.
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7(h + k)² - 21(h + k)
factorise completely
What is the meaning of whole numbers are closed?
Whole numbers are closed under addition and multiplication. If we add and multiply any two whole numbers, the result will be a whole number.
What are Whole numbers ?
The numbers that include natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Whereas Integer: A counting number, zero, or the negative.
If we add any two whole numbers, the result will be a whole number. For example, 2 + 4 = 6 and 6 is a whole number.
Therefore, whole numbers are closed under addition.
If we multiply any two whole numbers, the result will be a whole number. For example, 2 × 4 = 8 and 8 is a whole number.
Therefore, whole numbers are closed under multiplication.
Also , Whole numbers are not closed under Subtraction and division.
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A playground is in the shape of a rectangle. The length of the rectangle is three times its width. The area of the playground is 19,500 square feet. What is the length of the playground? Round to the nearest foot. Hint: use A=LW
The length of the rectangular playground is 241.86 foot.
How to calculate length of the rectangle?Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.
Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.
Calculation:A=LW
As given A= 19,500 sq.ft and considering L=3W,
19,500 = 3W*W
19,500 = 3W^2
∴ W^2 = 6500
∴ W = [tex]\sqrt{6500}[/tex]
∴ W = 80.6225 ft. ≈ 80.62 ft.
Now putting the value W = 80.62 in equation L =3W,
L = 3* 80.62
L = 241.86 ft.
The length of the rectangular playground is 241.86 foot.
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5. A student graphed f of x. equals. x. and g of x. equals. 1 over 3. f of x. plus 5 on the same coordinate grid. Which statements are true?
Select THREE correct answers.
To create g, the graph of f is shifted 5 units up.
To create g, the graph of f is shifted 5 units down.
The graph of f is steeper than the graph of g.
The graph of g is steeper than the graph of f.
The y-intercept of g is 5 units below the y-intercept of f.
The y-intercept of g is 5 units above the y-intercept of f.
The three correct answers that describe the given transformations are;
A) To create g, the graph of f is shifted 5 units up.
C) The graph of f is steeper than the graph of g.
F) The y-intercept of g is 5 units above the y-intercept of f.
How to find the sequence of transformation?We are given the equations as;
f(x) = x
g(x) = ¹/₃(f(x)) + 5
For a function f(x) we define a vertical translation (or vertical shift) of n units as:
g(x) = f(x) + n
If n is positive, the translation is upwards
If n is negative, the translation is downwards.
Thus, the graph of f was shifted 5 units upwards.
Now, the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus;
y-intercept of f(x) = 0
y-intercept of g(x) = 5
Thus;
y -intercept of g is 5 units above y-intercept of f.
Now, the steeper the line, the higher the slope. Thus, function f has a higher slope than function g and so function f is steeper than function g.
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if you fit your data to this function with n set exactly equal to 2, what is vx equivalent to?
(a) If you fit your data to this function with n set exactly equal to 2, then we have to find v(x, i) is equivalent to -2At(0).
(b) If you fit your data to this function with n set exactly equal to 2, then we have to find v(x, i) is equivalent to At(0)^2+B.
The given equation is x(f) = x(i)+v(x, i)Δt+12a(x)(Δt)^2.
Here x = x(f)-x(i)
So the equation is
x = v(x, i)Δt+12a(x)(Δt)^2..................(1)
The function in the program
x = A(t-t(0))^n+B
(a) If you fit your data to this function with n set exactly equal to 2, then we have to find v(x, i) is equivalent to.
If we set n = 2. Then;
x = A(t-t(0))^2+B..................(2)
On comparing the equation (1) and (2), we get
A = 1/2 a(x)
So, a(x) = 2A
x(f) = At^2+At(0)^2-2Att(0)+B.......................(3)
Now comparing the equation (1) and (3)
v(x, i) = -2At(0)
(b) If you fit your data to this function with n set exactly equal to 2, then we have to find x(i) is equivalent to.
On comparing the equation (2) and (3), we get
x(i) = At(0)^2+B
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Complete question is:
Equation 3.8 in the textbook states x(f) = x(i)+v(x, i)Δt+12a(x)(Δt)^2. In this lab you will collect data for the position, x, as a function of time, t. The software you will use will allow you to fit data using a function of the form x=A(t−t(0))^n+B.
1. If you fit your data to this function with n set exactly equal to 2, what is v(x, i) equivalent to?
2. If you fit your data to this function with n set exactly equal to 2, what is x(i) equivalent to?
Describe and correct the error in solving the equation
Answer:
what equation?
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
2(x+1)^2+3=21
2(x+1)^2=9
x+1=3
x=2
[tex](5-\sqrt{5}) and (\sqrt{5} -5)[/tex]Are two roots of a fourth degree polynomial with integer coefficients, what are the other roots?
Answer:
(5 +√5) and (-√5 -5)
Step-by-step explanation:
Given two roots of the 4th-degree polynomial with integer coefficients are (5-√5) and (√5-5), you want to know the other two roots.
ConjugatesThe other two roots are the conjugates of the given roots. That is, the signs of the √5 term will change:
(5 +√5) and (-√5 -5)
__
Additional comment
The polynomial is x⁴ -60x² +400.
What is the median of data 4 6 8 9 11?
Answer:
8
Step-by-step explanation:
its the middle number when the given values are listed least to greatest.
*count from each minimum and maximum values til you have the number in exact center.
What are the 3 forms of linear equations?
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept. Using the information given we can plug in the numbers to get the correct equation. This looks like y=-3x+4.
Slope-intercept form is helpful because we can use it to find coordinate points and graphs. By graphing the y-intercept and then using the slope to count out points, you can find the function. Additionally, by plugging in values for x or y, you can find coordinate pairs.
The standard form is Ax + By = C
Where, if at all possible, A, B, and C are integers, and A is non-negative. Our linear equation in standard form is:
x - 5y = -12 or 1x - 5y = -12
where A = 1, B = -5, and C = -12
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What is the most approved disability?
The most often recognized impairments for social security disability benefits are musculoskeletal system disorders like arthritis.
This is due to the prevalence of arthritis. A total of 58 million Americans suffer from arthritis. You might be eligible for disability benefits if your arthritis makes it difficult for you to move or carry out basic daily tasks.
If your condition should automatically qualify you for disability benefits, a social security disability lawyer can analyze your case and make that determination. Your attorney may walk you through the disability application process and advise you on the kinds of records you might need to substantiate the seriousness of your disease.
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What does it mean to have 2 equal roots?
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
What is square root ?A number's root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as or as 3 x 3.
Here,
If an equation have 2 roots , it means it is a quadratic function
If D=0, a quadratic function has two roots that are equal.
D (discriminant) = 0
=>b24ac=0 is required for a polynomial function to have equal roots.
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
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