Based on the results of Mean and Median, we can say that Mean is larger than median in value .
Mean of n observations can be calculated using the formula
Mean = (sum of all observations)/(number of observations) .
After arranging the data in ascending or descending order , the middle value can be called as Median .
In the question ,
the set of numbers is given as 4, 5, 11, 12, 5, 38, 44
rewriting them in ascending order ,we get 4, 5, 5, 11, 12 ,38 ,44 .
the sum of all the number = 4+5+5+11+12+38+44
= 119
number of observations = 7
hence the mean = 119/7 = 17
So, mean = 17
from the set of numbers 4, 5, 5, 11, 12 ,38 ,44 we can see that
the middle value of the set of numbers is 11 .
So , median = 11 .
On comparing the mean = 17 and the median = 11 ,
we can say that the mean is greater than median.
Therefore , based on the results of Mean and Median, we can say that
Mean is larger than median in value .
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When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K). The equation with the subject Celsius (C) is C=K-273.15, Option A correct.
Given that,
The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K).
The formula K = C + 273.15 can be used to simulate this.
We have to find the equation with the subject C.
K=C+273.15
Taking the C to left hand side and K to right hand side.
-C=273.15-K
Multiplying -1 on both sides
-1(-C)=-1(273.15-K)
C=K-273.15
Therefore, The equation with the subject Celsius (C) is C=K-273.15, Option A correct.
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Given that △ABC ~△PQR, AC/PR=2.5 and the area of △PQR is equal to 8 cm, find the area of △ABC
The triangle ABC has an area of 50 square cm
How to determine the area of the triangle ABC?From the question, the given parameters are:
△ABC ~△PQRAC/PR =2.5 Area of △PQR is equal to 8 cm squareThe given parameters above mean that:
The triangles ABC and PQR are similar triangles
So, the area of the triangle ABC is then calculated as
Area of △PQR = Area of △ABC x (AC/PR)²
Substitute the known values in the above equation
So, we have the following equation
Area of △PQR = 8 x (2.5)²
Evaluate the product
Area of △PQR = 50
Hence, the area of the triangle ABC is 50 square cm
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I need help... yet again. I'm sorry I am very uneducated.
she will make the base and side of the box out of a metal that costs 50 cents per square inch. the lid of the boxwill be made from a metal with a more ornate finish which costs 200 cents per square inch
Answer:
4
Step-by-step explanation:
1 side is 50 per inch the ornate cost 200 cents. 200÷50=4
if A/5=60/4 what is the place value of A
Answer:
a=75
Step-by-step explanation:
Find the measure of angle TRS.
The measure of the angle TRS = 46°
The angles given in figure are :
angle QSR = 110°
angle STR = 64°
angle QRS = 2x-10°
We will find the angle TRS using these given angles and some angle properties in a triangle.
We have the fact that sum of three angles of a triangle = 180°
So angle TRS + angle RST + angle STR = 180°
angle QSR and angle RST are supplementary. i.e., their sum = 180°
So angle RST = 180° - 110° = 70°
So angle TRS = 180°- (70°+64°) = 46°
Using angle TRS we can also find angle QRS and thereby, the value of x.
From the figure, angle QRT = 90°.
So angle QRS = 90°-angle TRS
⇒ 2x - 10° = 90° - 46°
⇒ 2x = 44° + 10°
⇒ x = 54°/2
⇒ x = 27°
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Show work with this problem please and thank you also see attached pictures for the other problems
1. The total bill that the basketball team will pay is $165.
2. The change that the person will recieve after paying is $43.075
How to calculate the value?1. The basketball team went out and the total bill was $125.
Tip given to waitress= 25% = 25% × $125 = $31.25
Tax rate = 7% = 7% × $125 = $8.75
Total bill = $125 + $31.25 + $8.75 = $165
2. Amount saved = $100
Total bill = $45
Tip given to waitress= 20% = 20% × $45 = $9
Tax rate = 6.5% = 6.5% × $45 = $2.925
Amount left = $100 - $45 - $9 - $2.925 = $43.075
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a bucket is being filled with water. the graph shows the water height (in mm) versus the time the water has been running (in seconds) ( and the picture shows the graph)
Every second, the water level increases by 10 mm and this value also represents the slope
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the increase in height each second?The graph represents the given parameter
From the graph, we have the following points
(x, y) = (0, 0) and (1, 10)
The increase in height each second is then calculated as
Increase = (y2 - y1)/(x2 - x1)
This gives
Increase = (10 - 1)/(1 - 0)
Evaluate
Increase = 10
Hence. the increase in height each second is 10 mm
How to determine the slope?In (a), we have
The increase in height each second is 10 mm
The increase in height each second is also the slope of the graph
Hence, the slope of the graph is 10 mm
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A line passes through the point (-1,-5) and has a slope of -7
Write an equation in slope -intercept form for this
Line
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]
Do these answers look right?
Answer:
Yep your good
Step-by-step explanation:
Your smart
what is 6 times 10 equal
Answer:
60
Step-by-step explanation:
10 + 10 + 10 + 10 + 10 + 10 = 60
Answer:
60
Step-by-step explanation:
Everytime you are multiplying by 10, you add a 0 to the number that you are multiplying by. In this case, the 6 turns into 60. This is a trick for the multiples of 10. Hope this helps!
Let U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7)
AU(BUC)
A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then
AU(BUC)= {1,2,3,4,5,6,7,8}.
What is Venn diagram?A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.
Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.
Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.
Since, BUC= {1,2,3,5,7,8}
So, AU(BUC) = {1,2,3,4,5,6,7,8}
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a 1 =49 a i =a i−1 −3 Find the sum of the first 26 terms in the sequence.
By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.
How to determine the sum of the sequence with the help of recurrence formulas
In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:
s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ
First, determine the first 26 terms of the series:
a₁ = 49
a₂ = 46
a₃ = 43
a₄ = 40
a₅ = 37
a₆ = 34
a₇ = 31
a₈ = 28
a₉ = 25
a₁₀ = 22
a₁₁ = 19
a₁₂ = 16
a₁₃ = 13
a₁₄ = 10
a₁₅ = 7
a₁₆ = 4
a₁₇ = 1
a₁₈ = - 2
a₁₉ = - 5
a₂₀ = - 8
a₂₁ = - 11
a₂₂ = - 14
a₂₃ = - 17
a₂₄ = - 20
a₂₅ = - 23
a₂₆ = - 26
Second, sum all the terms found in the previous step:
s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26
s = 299
The sum of the first 26 terms of the sequence is equal to 299.
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CO2 How many atoms of each element are in the formula shown?
The number of atoms of each element in CO2 are; Number of O atoms = 2 and Number of C atoms = 1
What is the number of atoms present in the element?The number of atoms present in the molecule of an element is known as its Atomicity. For Example: In the H2O molecule, its atomicity is 3 as it has 2 molecules of hydrogen and 1 molecule of oxygen
Similarly, for the antiperspirant Al₂Cl(OH)₅. the number of atoms in each element can be found as follows;
Number of Al atoms = 2
Number of Cl atoms = 1
Number of H atoms = 1 x 5 = 5
Number of O atoms = 1 x 5 = 5
Applying the above to our question gives;
Number of C atoms = 1 atom
Number of O atoms = 2 Atoms
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What is the slope of this graph? 1/4 -4 -1/4 -4
Answer:
-4
Step-by-step explanation:
The line goes down as it moves to the right so it has to be negative.
It goes over 1 and down 4.
To find the slope we use -4/1
We do this because it went down 4 so the 4 is negative, and we use 1 because it went over 1.
So -4/1 = -4
Plot 1 1/5 on a number line
Answer: 1 and 1/5 (or 1.2), on a number line would be between One and Two but closer to One.
Monster multiplacation Multiply using the standard algorithm. Show your stuff 92 43
The multiplication of 92 by 43 using standard algorithm is 3956.
What is standard algorithm?A standard algorithm or method in elementary mathematics is a certain computation technique that is typically taught for resolving particular mathematical issues.
To be more organized and effective, a typical algorithm uses the same steps each time we multiply, add, subtract, or divide.
Math problems are typically solved by aligning the places, starting with the ones on the right, moving on to the tens place, adding in any carryover numbers or regrouping if subtracting and so on.
Therefore, the multiplication is:
= 92 × 43
= 3956
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The value of a motorcycle decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in the value of the motorcycle at the end of 3 years?
Answer:
The total percentage loss would be 67%.
Step-by-step explanation:
Since we have given that
Rate of decline each year = 20%
Number of years = 5
We need to find the total percentage loss in value of the house at the end of 5 years.
So, Total percentage loss would be
describe fully the single transformation which takes shape A to shape B .
please help me !!
The single transformation from shape A to shape B is;
(1, 6); (x, y) → (y + 1, x + 5)
(5, 6); (x, y) → (y + 1, x - 3)
(3, 8); (x, y) → (y + 1, x + 1)
How to find the transformation?We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.
Now, let us look at the shapes A and B to find their coordinates.
Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)
Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)
Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)
The transformation of shape A following (x, y) → (y, x) is;
A'(6, 1), B'(6, 5), C'(8, 3)
Comparing that to the coordinates of shape B, we can say that the transformations are;
(1, 6); (x, y) → (y + 1, x + 5)
(5, 6); (x, y) → (y + 1, x - 3)
(3, 8); (x, y) → (y + 1, x + 1)
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Use the digits 9, 6, and 3 one time each in the following multi-digit division problem.
40, 3600/90 =40, is the complete problem where 40, 36, and 9 are the, missing numbers.
The problem we dealing with here is related to Algebra which is meant as the department of mathematics that makes a difference in the representation of problems or circumstances within the frame of numerical expressions. It includes factors like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to create an important numerical expression.
Here we are asked to use the digits 9, 6, and 3 in order to solve the problem. Since we know that we get 40 when 3600 is divided by 90,
3,600 / 90 = 40
So the number 40 means the result and followed by 3600 and 90.
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find the difference 85.777-42.432
Answer:
That's the answer
please mark brainiest
What is the area of this composite figure?
The area of the composite figure is 17 square in. Option B
How to determine the areaFrom the image shown, we can see that the composite figure is made up of;
A triangleA rectangleThe formula for area of a rectangle is expressed as;
Area = lw
Where;
L is the length of the rectangle = 4inw is the width of the rectangle = 3inNow, substitute the values into the formula for area
Area = 3 × 4
Multiply through
Area = 12 square in
The formula for area of a triangle is expressed as;
Area = 1/ 2 × b × h
Where;
b is the base of the triangleh is the height from the baseSubstitute the values into the formula
Area = 1/ 2 × 2 × 5
Multiply the numerators
Area = 10/ 2
Find the ratio
Area = 5 square in
But area of the composite figure is given as;
Area of rectangle + area of triangle
12 + 5
17 square in
Hence, the area is 17 square in
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can someone tell me what 4 x 90 is
Answer:
360
Step-by-step explanation:
Answer: 360
Step-by-step explanation:
pls help me no one will answer my question
Answer:
Domain { 0,2,3,4}
Range { -2,1,2,5}
Step-by-step explanation:
The domain is the values that x can take
Domain { 0,2,3,4}
The range is the values that y can take
Range { -2,1,2,5}
find the value of x. the answer choices are 5, 4, 6, or 129
the sum of the interior angles of a parallelogram is 360°,
we have the next angles equals
m
m
With this in mind, we can have the next equation
51+51+28x-11+28x-11=360
we sum similar terms
80+56x=360
we isolate the x
56x=360-80
56x=280
x=280/56
x=5
jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is: $10000 + $1500 = $11500
a) the derive equation is 50000 + 10000 + x
jack has maximum amount of wealth = $50,000
When he participated in a jujitsu competition then the prize amount = 10,000
Then we will take a variable x for derive the equation which will depend on that he will win and loose :
Here,
the equation is = 50000 + 10000 + x
b) His consumption after not purchasing medical insurance is $15000.
if, he does not purchase medical insurance then he has no coverage of insurance and
He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000
So, his consumption after not purchasing medical insurance is:
$10000 + $5000 = $15000
c) when he will purchase medical insurance then his total consumption is $3500
his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,
When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:
0.3 * 5000 = $1500
Now, subtracting the amount of medical insurance which he’ll have to pay:
$5000 - $1500 = $3500
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:
$10000 + $1500 = $11500
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(-4x^2+4x)+(-6x^2-8) can someone please help me with this
Answer:
-10x²+4x-8
Step-by-step explanation:
-4x²+4x-6x²-8
-4x²-6x²+4x-8
-10x²+4x-8
a unit received 1,000 rounds of .9mm. they return 450 live rounds. with a brass conversion rate of .009lb, what should be the total weight of the brass returned?
The total weight of the brass returned is 4.04 lb
In this question, we have to find the total conversion of brass return with 450 so multiply the conversion rate by the live rounds return back then we will get our exact answer as follows
A unit received rounds of .9mm = 1000
They return the number of live round units = 450
They return the number of live round units with a brass conversion = .009
so,
The total weight of the brass returned = 450 × .009
The total weight of the brass returned with a brass conversion = 4.05 lb
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Determine the domain and range of the function f(x) = 23/108²x.
O {x all real numbers}; {yl y >0}
O x all real numbers}; {yl y ≥ 0}
O {xx>0}: {yl all real numbers}
O x x ≥ 0}; {yl all real numbers}
Answer:
range of the function f(x) = 23/1082 {x| all real numbers}; {yly >0} O {x| all real numbers}; {yl y 2 0} O {x|x>0}; {yl all ...
The domain and range of the function f ( x ) is {x all real numbers}; {yl y >0}
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2( ∛108 )²ˣ
The domain of the function is all real numbers because there are no restrictions on the variable x.
To find the range, we can simplify the function as follows:
f(x) = 2(∛108)²ˣ
f(x) = 2(6)²ˣ
f(x) = 2(36)ˣ
f(x) = 72ˣ
Since 72ˣ is always positive, the range of the function is {y: y > 0}.
Hence , the domain and range is solved and = {x ∈ R : x ∈ R }, {y ∈ R: y > 0}
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The complete question is attached below :
Determine the domain and range of the function f(x) = 2( ∛108 )²ˣ
O {x all real numbers}; {yl y >0}
O x all real numbers}; {yl y ≥ 0}
O {xx>0}: {yl all real numbers}
O x x ≥ 0}; {yl all real numbers}
If you have 180 calories of milk in 2 cups, then how many calories of milk would you have in 16 cups?
I need some help.