the middle value in a data set when the values are put in order
For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.
Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.
need help with these three
You deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. What is the final balance after 4 years
Answer:
$3,153.32
Step-by-step explanation:
Given that
The deposited amount is $3,000
The annual interest rate is 1.25%
So, the semi-annual interest rate is 1.25% ÷2 = 0.625%
And, the time period = 4 × 2 = 8
We need to find out the final balance
So,
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= $3,000 × (1 + 0.625%)^8
= $3,153.32
Expanded and simplified form if 5 (m+2) + 9 (n+4)
Answer:
The answer expanded and simplified is
5m +9n +14
13. Solve the simultaneous equations using an elimination method.
a) 2x + 5y = 27
2x - 3y = 3
You must show how you worked out your answers
Answer:
X=6,y=3
Step-by-step explanation:
6 3/4 + 3 1/8 whats the answer?
Answer:
9 7/8
Step-by-step explanation:
Find the volume of the following figure.
(I need a answer to this very soon so if anybody can answer id really appreciate it :))
The volume of the prism is 103.32 cubic inches (optionD)
What is the volume of a prism?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
The base area of the prism = 4.1×7.2 = 29.52 inches squared.
The height of the prism is 3.5 inches
Therefore volume = base area × height
volume = 29.52× 3.5 = 103.32 cubic inches.
Therefore the volume of the shape is 103.32 cubic inches.
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Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given:
Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question
Drink mix 3 4 5 6 7
water cups 8 9 10 11 12
Hence, The complete table is shown above.
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3+ T/2 = 35  (Solve for T)
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
Define a linear equation.Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.
Here,
Given : 3+ T/2 = 35
thus,
=> 3+ T/2 = 35
=> T/2 = 35-3
=> T/2 = 32 *2
=> T= 64
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
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PLEASE I WATED SO MUCH POINTS ON PPL GIVEING ME LINK SO PLEASE DONT GIVE LINKS
Answer:
E
Step-by-step explanation:
1
Q4. What is the length of the base of a triangle that has an area of 15 cm
and a height of 3 cm?
O A) 12 cm
B) 10 cm
C) 45 cm
D) 3 cm
Q5
A) 12 cm ..............
Answer:
Area of a triangle= b · h/2
b) 10 is the correct answer because 10 x 3/2 = 15
HELP
ASAP FOR 20 POINTS!
Answer:
15.01
Step-by-step explanation:
Ty bought a notebook for $3 and pencils $2 if both items were on sale for 25%, what did Tyler spend?
Answer:
2.25 + 1.50 = 3.75
he spent $3.75
hope this helped
Step-by-step explanation:
Please help :( how you do the bottom part
Answer:
1. x = 14
2. (14, 115.18)
3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Step-by-step explanation:
The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.
To do the first question, you simply have to make the equation from the story problem.
These equations are usually in the slope intercept form, y = mx + b
C(x) is the same as y, so begin by replacing it for simplicity.
If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.
y = 7.87x + 5
Now we can substitute variables to solve the equation.
To find x when C(x) = 115.18, we substitute y for 115.18.
115.18 = 7.87x + 5
Subtract 5 from both sides:
110.18 = 7.87x
Divide both sides by 7.87:
14 = x
So we have our first answer. When C(x) = 115.18, x = 14.
The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.
This means, as an ordered pair, the answer is (14,115.18).
The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Hope this helped!
helppppppppppppppppppppppppppp meeeeeeeeeee find the area
Answer:
30.3/option 3
Step-by-step explanation:
Area of paralellogram:
((2+10)/2)*4
12/2*4
6*4
24
Area of semicircle
(pi*r^2)/2
3.1415*2^2/2
3.1415*4/2
6.283
Total:
24+6.283 = 30.283
Round it and it becomes 30.3 so option 3
plz mark brainliest if you find this helpful
Answer:
Half of 4 is 2
2^2 = 4
4 x 3.14 = 12.56, 12.56 divided by 2 = 6.28
10 + 2 = 12
12 x 4 = 48, 48 x 1/2 (basically just dividing by 2) = 24
Add the given areas:
24 + 6.28 = 30.28 m^2
when processing an invoice what account is credited
a. accounts receivable
b. cash
c. accounts payable
d. the answer depends on the transaction
Answer:
accounts payable
Step-by-step explanation:
Because amount of money you owe
Habib cut out a rectangle that ha a perimeter of 60 inche and a length of 16 inche. They cut out another rectangle that i the ame length and twice a wide
The required perimeter of the new rectangle is 66 inches.
What is a rectangle?A quadrilateral with all of its angles equal, or right angles, is a rectangle.
In addition to having all equal angles, a square also has all equal sides.
Therefore, a particular case of a square is a rectangle.
To put it another way, a rectangle can also be a square (when all sides to are equal).
Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.
To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.
So, a perimeter equals 2(l+b).
50 is the circumference and 17 is the length here.
Suppose the breadth is x.
50 = 2(17+x)
50 = (2*17)+(2*x)
50 = 34 + 2x
50 - 34 = 2x
16 = 2x
16/2 = x
8 = x
The first triangle's width is eight inches.
We know that the length of the other rectangle is 17.
And that the width is two times that of the first triangle.
Length = 17, width = 2*8 = 16, etc.
For the border:
p = 2(l+b)
p = 2(17+16)
p = (2*17)+(2*16)
p = 34+32
p = 66
Therefore, the required perimeter of the new rectangle is 66 inches.
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Complete question:
Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?
. A window is in the form of a rectangle surmounted by a semicir- cle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thick- ness of the frame.
The area of the window that lets in the most light will be the one that causes the window to transmit the most light overall.
To find the proportions of the window that will admit the lightest, we need to maximize the total area of the window while keeping the perimeter fixed. The total area of the window is the sum of the area of the rectangle and the area of the semicircle. The area of the rectangle is the product of its length and width, and the area of the semicircle is half the product of its radius and the area of a full circle with the same radius.
Since the perimeter is fixed, the length and width of the rectangle are also fixed. The radius of the semicircle can be found using the perimeter and the length and width of the rectangle.
Once we have the radius of the semicircle, we can find the area of the rectangle, the area of the semicircle, and the total area of the window. Since the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does, we will have to multiply the area of the semicircle by 0.5 to find the total amount of light transmitted by it.
Finally, we will have to compare the total amount of light transmitted by the window for different values of the length and width of the rectangle. The proportion of the window that admits the most light will be the one that results in the maximum total amount of light transmitted by the window.
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MULTIPLE CHOICE QUESTION
What does the "rise" represent?
The change in y axis
the change in x axis
Rewatch
Me resuelven está 2 porfa
a) Each person would receive 1/6 of the cake
b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?
What is the problem?We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.
Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.
2 1/2 = 15 x
5/2 = 15x
5 = 2 * 15x
x = 5/2 * 15
x = 1/6
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In an amphitheater, eat are aranged in 50 emi-circular rowfacing a dome tate. The firt row contain 23 eat, and each row contain4more eat than the previou row. How many eat are in the amphitheater?
In an amphitheater, seat are arranged in 50 semi-circular row-facing a dome Tate. The first row contain 23 seat, and each row contain 4 more eat than the previous row. Therefore, there are 6050 seat are in the amphitheater.
Given that:
There are total 50 semi circular row.
In the first row there are 23 seats.
The given problem is AP series:
Arithmetic Series:
An arithmetic sequence is defined as an algebraic sequence in which each successive term has an equal difference. It is obtained by adding a constant to any preceding term. For the first term 'a' and the tolerance 'd' of the AP, here is a list of commonly used arithmetic progressions to solve various AP related problems:
Common Difference of AP: d = a2 - a1 = a3 - a2 = a4 - a3 = an - a(n-1) nth term of AP.AP: an = a + (n - 1)d of AP Sum of n terms: Sn = n/ 2( 2a+(n-1)d) = n/2(a + l),where l is the last term in the arithmetic progression.
Now,
Sum of n terms = n/2 [ 2a + (n-1)d]
= 50/2 [ 2× 23 + (50 -1)4]
= 25 [46 + 49×4]
= 25 × 242
= 6050
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A city has 5 cm of snow on the ground before a snow storm. During the storm, the amount of snow on the ground increases by 2 cm an hour.
which table shows a smaller rate of change than the one described?
Time Snow on Ground
(hours) (cm)
0
3
1
9
2
15
3
21
Time
(hours)
0
A
Ос.
Snow on Ground
(cm)
5
10
15
1
2
3
20
Time
(hours)
0
B.
Time Snow on Ground
(hours) (cm)
0
4
1
6
2
8
3
10
Snow on Ground
(cm)
6
7
8
9
1
2
3
Answer:
The answer is D because the snow on the ground increases 1 cm every one hour rather than 2 cm every hour.
Step-by-step explanation:
Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?
Answer:
11 marbles
Step-by-step explanation:
Let x = no. of marbles-Alex
3x = no. of marbles-Billie
3x - 9 = no. of marbles-Chris
x + 3x + 3x - 9 = 68
7x - 9 = 68
7x = 77
x = 11
Alex will have 11 marbles out of a total of 68 marbles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Alex has some marbles. Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total, they have 68 marbles.
Let x = no. of marbles-Alex
3x = no. of marbles-Billie
3x - 9 = no. of marbles-Chris
The number of marbles will be calculated as,
x + 3x + 3x - 9 = 68
7x - 9 = 68
7x = 77
x = 11
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Please help this is for my geometry final i will appreciate it so much :)
Answer and Step-by-step explanation:
The answer is True.
This is because rain is falling water (precipitating water), and water makes things wet, so because it is raining, the outside is wet from the falling water.
#teamtrees #PAW (Plant And Water)
What is the paradox in The Importance of Being Earnest?
The drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.
What is a paradox?A remark that logically contradicts itself or runs counter to one's expectations is referred to as a paradox.
It is a claim that, despite appearing to be supported by genuine premises and sound reasoning, leads to a logically untenable or self-contradictory conclusion.
One of the most straightforward yet well-known paradoxes is the liar paradox, sometimes known as the liar's paradox statement.
A paradox exists when someone says, "This statement is a lie" or "This statement is false," because if it were true, the statement would be speaking the truth.
In "The Importance of Being Earnest", the play has multiple contradictions.
Because the upper class is required to lead because it is the governing class, Algernon's dissatisfaction with the lower class for not setting a better moral example for the upper class is paradoxical.
Therefore, the drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.
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Hi answer one and two plz
Answer:
1: 36 3/4
2: 26
Step-by-step explanation:
because I had that same question and got an A
If the radius of a new larger circle is 36 mm, what is the area of the larger circle with the same scale?
Answer:
4072.032mm^2
Step-by-step explanation:
Given data
Radius= 36mm
The expression for the area of a circle is
A= πr^2
Substititute
A= 3.142*36^2
A= 3.142*1296
A= 4072.032mm^2
Hence the area is 4072.032mm^2
A sine function has an amplitude of 3, a period of π, and a phase shift of [tex]\frac{\pi }{4}\\[/tex]. What is the y-intercept of the function?
3
0
-3
[tex]\frac{\pi }{4}[/tex]
The y-intercept of the sine function is -3
We know that the standard form of the sine function is, y = a sin(bx + c) + d
where, amplitude = |a|
period = 2π/b
phase shift = -c/b
and vertical shift = d
Here, a sine function has an amplitude of 3, a period of π, and a phase shift of π/4
a = 3,
So, 2π/b = π
⇒ b = 2
And phase shift -c/b = π/4
⇒ -c/2 = π/4
⇒ -c = π/2
⇒ c = -π/2
So, a sine function would be,
y = 3 sin(2x + -π/2) + 0
y = 3 sin(2x + -π/2)
When x = 0,
y = 3 sin(0+ -π/2)
y = 3 sin(-π/2)
y = 3 × (-1)
y = -3
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Can some one help me with this question its hard :( down below ill give brainliest
If BE=24, DF= 10, and A F= 13,
1. Find the perimeter of ΔABE
2. Find the perimeter of ΔCDF
The perimeter of ΔABE is 70 units.
The perimeter of ΔCDF is 35 units.
How to find the perimeter of a triangle?A triangle is a polygon with threes sides. The sum of angles in a triangle is 180 degrees.
Therefore, the perimeter of a triangle is the sum of the whole sides.
Triangle mid point theorem is used to find the perimeter of the triangles.
It states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
Let's find the perimeter of triangle ABE.
Hence,
perimeter of triangle ABE = AB + BE + AE
BE = 24
AE = 13 + 13 = 26
AB = 10 + 10 = 20
perimeter of triangle ABE = 24 + 26 + 20 = 70 units
perimeter of triangle CDF = DF + CD + CF
perimeter of triangle CDF = 10 + 13 + 12
perimeter of triangle CDF = 35 units
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How long will the other side be ?
Answer:
B
Step-by-step explanation: