1.545 is the riemann sum of the function .
What does Riemann sum do?
A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.f(x) = x
p = { 1, 1.2 , 1.7 , 2}
c = { 1.1, 1.45,2}
fpr the interval ( 1, 1.2) Δx = 0.2
( 1.2, 1.7 ) Δx = 0.5
( 1.7 , 2 ) Δx = 0.3
R(f, p,c ) = f(1.1) 0.2 + f( 1.45)0.5 + f(0)0.3
= (1.1) × 2 + ( 1.45) ×( 0.5) + 2 × 0.3
= 0.22 + 0.725 + 0.6
= 1.545
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Write an explicit formula for an, the nth term of the sequence 26, 24, 22
we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.
We are given an arithmetic sequence:
26, 24 , 22 ....
We need to find the nth term of this sequence (aₙ)
We will first find the common difference between the terms:
Common difference = d = 24 - 26 = - 2
also, we know that initial term = a = 26.
We know the formula for aₙ is given by:
aₙ = a + ( n - 1 ) d
Substituting the values, we get that:
aₙ = 26 + ( n - 1 ) ( - 2 )
aₙ = 26 - 2 n + 2
aₙ = 28 - 2 n
Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.
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Which statements are true about irrational numbers?
Select all that apply.
1. They are not real numbers.
2.Their decimal form contains a bar over one or more decimal numbers to show that they continue on infinitely.
3.They can be the square root of a non-perfect square.
4.They can be written as simple fractions.
5. Their decimal form contains an ellipsis, 3 dots, to show that they continue on infinitely.
Answer:
Step-by-step explanation:
the irrational number can't be represented to a fraction number, like pi and square root of 2 , e and so on, the third fourth choice are true
rational number and irrational number are included in real number, the second choice means the decimal numbers with circulating decimal, it is belong to rational number.
the fifth choice only be used to decimal number with circulating decimal, not the irrational number.
In a track meet, Team A won 3 more medals than two times the medals won by Team B. Team A won 9 more medals than Team B, Find the number of medals for each team. Show all set-up, work, and write a complete sentence for your answer.
The number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.
How to solve Algebra Word Problems?
Team A won 3 more medals than two times the medals won by Team B.
If the number of medals won by team B is x, than;
Number of medals won by team A = 3 + 2x
Number of medals won by team B = x
Also, we are told that Team A won 9 more medals than Team B.
Thus;
(3 + 2x) = x + 9
2x - x = 9 - 3
x = 6
3 + 2x = 3 + 2(6) = 15 medals
Thus, we conclude that the number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.
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The sum of two numbers is 12. The difference of the same two numbers is -4. Find the two numbers.
Larger number
Smaller number
Answer:
let the number be x and y
Step-by-step explanation:
x+y=12
x-y=-4
here,
Doctor smith wants to know how many veterinary students decide to pursue a career as a small animal practitioner. there are 27 veterinary schools in the usa, so he decides to randomly select 10% of the students from each school and asks them where they intend to practice one they finish veterinary school. is this an example of a simple random sample?
Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected.
Simple random sampling can be defined as the process of studying about large population by taking a small subset/sample.
In this method there is equal chance of every member of population to get selected.
According to the question there is equal chance for every student to get selected by Doctor smith.
Therefore , Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected by Doctor smith.
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The perimeter of a rectangle is 800 yards. What are the dimensions of the rectangle if the length is 50 yards more than the
width?
Answer:
The length is 225 yd, and the width is 175 yd.
Step-by-step explanation:
Let w = width.
Then the length = w + 50.
perimeter = 2(length + width)
800 = 2(w + 50 + w)
400 = 2w + 50
2w = 350
w = 175
w + 50 = 225
The length is 225 yd, and the width is 175 yd.
Answer:
225 * 175 yards,
Step-by-step explanation:
If the width is x then the length is x+50.
Perimeter = 2(width + length)
800 = 2( x + x + 50)
2x + 50 = 400
2x = 350
x = 175
So, the width is 175 yd and length is 225yd.
Write the equation of the line passing through the points (−3,9) and (−9,3).
Question content area bottom
Part 1
The equation of the line is enter your response here.
The equation of the line is y=x+12.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The points are
(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]
The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
We have to Write the equation of the line.
According to given question we have,
Equation of line passing through the point (-3,9) and (-9,3).
Slope of the line=
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]
⇒y−9=1(x+3)
⇒y-9=x+3
Add 9 on both sides we get,
y=x+12
∴ y=x+12 which is in the form y=mx +c is the required equation.
Therefore, the equation of the line is y=x+12.
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y = x + 12
What is equation of a line?
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.
y-y₁=m(x-x₁)
mm₁=-1
Points (-3,9) and (−9,3).
Slope of the line m = (y₂ - y₁)/(x₂ - x₁)
m = (3-9)/(-9+3)
m = 1
Now equation of line passing through two points
(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)
(y - 9)/(3-9) = 1*(x - 3)/(-9+3)
y - 9 = x + 3
y = x + 12
Therefore, the equation of line is y = x + 12
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You have $175.29 in a savings account. You deposit an additional $48.75. How much more do you need to save to buy the cell phone?
Price: $249.99
Include the steps
Answer:
Step-by-step explanation:
So in your account you got $175.29
Then you deposit mean increase the amount of money in your account by $48.75
So: 175.29+48.75 = 224.04
The price is $249.99
So: 249.99 - 224.04 = $25.95
You need to save $25.95 in order to buy your cell phone
To buy the cellphone of worth $249.99, additional $25.95 are required.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The price of cellphone = $249.99
The amount in saving account = $175.29
Additional amount deposit in account = $48.75
Total amount in account after deposit = 175.29 + 48.75 = 224.04
Since, the price of cellphone is $249.99
And the amount in account = 224.04
So the more amount required = 249.99 - 224.04 = 25.95
To buy the cell phone $25.95 are required.
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It can reasonably be inferred from the passage that the main reason that the narrator considers great expectations to be the best gift he ever received is because?
Infer means to guess or reach a conclusion, especially based on an indirect hint.
What exactly does inferred mean?The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.
Infer means to draw a judgement based on evidence; if there is little proof, the term is close to conjecture. To come to a decision or conclusion based on knowledge or an assumption; to arrive at a conclusion through reasoning. To infer is to draw a conclusion based on facts or presumptions. Assuming that a child stole the dish of cookies because he was the only one in the room when they vanished is an example of inferring.To learn more about inferred, refer to:
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can you tell me what -48<-6b<48 is ?
The value of 'b' written in inequalities is: 8 > b > -8.
What are the rules solving inequalities?Inequalities are mathematical declarations that include the symbols > and <.
To'solve' an inequality, you must first identify a range, as well as ranges, of values which an unexplained x can take while still satisfying the inequality.In this unit, inequalities are solved with algebra and graphs.Some rules for solving the inequalities are-
If a < b, then a + c < b + c: The direction of an inequality symbol is not changed by adding same number for every side.If a < b, then a – c < b – c: The direction of an inequality symbol is not changed by subtracting the same number out of each side.If a < b and if c are a positive number, then a×c < b×c: The direction of an inequality symbol is not changed by multiplying/diving each side by a positive number.If a < b and if c is a negative number, then a×c > b×c: When every side of an inequality is multiplied/divided by a negative number, the direction of a inequality symbol is reversed.For the given inequality;
48 < -6b < 48
Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.
Thus,
8 > b > -8 which defined the limits for the b values.
Therefore, the interval for the value of 'b' are obtained as 8 > b > -8.
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What is 17.1936 to the hundredths place?
Answer:
9
Step-by-step explanation:
The number 9 is in the hundredths place!
From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!
A party of 17 comes in the door. What is the leastnumber of tables needed to seat them together?
Answer: 1
Step-by-step explanation:
How big is the table? 1 table can fit all 17 people if the table is big enough.
the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?
Answer:
The type of polygon that is formed is a Hexagon because of its 6 sides.
Step-by-step explanation:
When you graph all of these points into a coordinate grid it should look like this:
-x^2+x-3<0
Solve X pls
Answer: x < √3 - x
Step-by-step explanation:
-x^2+x-3<0
= x^2+x < 3
= x^2 < 3 - x
= x < √3 - x
Write an absolute value expression you could use to find the absolute value of 3.1 + (-6.3)
The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
= 3.1 + (-6.3)
To find the absolute value of 3.1 + (-6.3):
= |3.1 + (-6.3)|
= |3.1 - 6.3|
= |-3.2|
= 3.2
Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.
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Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
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Here is a data set ( n = 117 ) that has been sorted. 51.7 56.8 65.3 66.8 67.3 68.1 68.1 68.3 68.6 68.7 69 69 69.6 69.7 69.9 70.2 70.8 71.2 71.3 71.4 71.7 72.3 72.6 72.9 73 73.4 74.3 74.4 74.6 74.6 75.2 75.4 75.5 75.5 75.7 75.9 76.3 76.7 76.8 77.3 77.4 77.9 78 78.3 78.3 78.5 78.7 79 79.4 79.6 79.6 79.8 80.2 81.1 82 82.1 82.2 82.4 82.9 83.1 83.3 83.4 83.4 83.5 83.6 83.7 83.7 83.8 84 84.1 84.5 84.6 84.9 85.1 85.3 85.3 85.5 85.5 86 86.7 86.9 87 87.6 87.7 87.7 87.7 87.8 88.4 88.5 88.8 89.1 89.1 89.1 89.3 89.5 89.7 90.4 90.5 90.6 91 91.1 91.2 91.9 92 92.2 92.8 92.9 93.1 93.9 94.1 95.1 95.6 96.9 97.1 97.3 97.5 100.1 find the 82nd-percentile:
The 82nd Percentile is 89.784
How to calculate percentile in statistics?The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.
The values' percentiles as determined by the formula are displayed below.
Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1
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Help me out, Im not understanding what my answer is
please help thank youuuu
Answer: 87/100
Step-by-step explanation:
Need help now please Due today! Substitution: 1. (x+5)^2 -y ; x= -2 y=1 2. 3x+4y^2 ; x=-3 y=5
The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
Given the 2 equations,
1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
Equation 1
⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }
⇒[tex]3^{2}[/tex]-1
⇒9-1
⇒8
Equation 2
⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
⇒3(-3)+4[tex](5)^{2}[/tex] {substituting x=-3 and y=5 }
⇒-9+4(25)
⇒-9+100
⇒91
Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
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help me pleaseeeeeeeeee.
Answer:
y = x + 3
Step-by-step explanation:
The difference between 1 and 4 is 3
The difference between 2 and 5 is 3
The difference between 3 and 6 is 3
The difference between 4 and 7 is 3
So our answer will either be x= y-3 or y=x+3
Since y=x+3 is the only option that matches the table it must be the answer
Hope this helped and have a good day
IF YOU JUST SIMPLY ANSWER!!!! 100 points!!!!
Answer:
hi loll
Step-by-step explanation:
Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac
The sales force at a certain company successfully closed 94 out of 200 sales calls. What was their percent success rate?
Answer:
47%
Step-by-step explanation:
Percentage of success = 94/200 * 100
= 94/2
= 47%
In the coordinate plane, the point X (2, 2) is translated to the point X (0, 4). Under the same translation, the points Y(-2, 0) and Z (0, 6) are
translated to Y and Z', respectively. What are the coordinates of Y' and Z?
The points Y and Z after transition are (-4,-2) and (-2,4)
In this case, we are required to find x' and y' to find the direction of transition
x' =x coordinate of point 2 - x coordinate of point 1
= 0-2 = -2
y'= y coordinate of point 2 - y coordinate of point 1
=4-2 = 2
Now we are required to subtract these transition from the points given,
Transition of point Y = (-2-2 ,0-2) =(-4,-2)
Transition of point Z =(0-2,6-2) = (-2,4)
Hence the points after transition are Y as(-4,-2) and Z as (-2,4)
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Solve the inequality.
3w-5>2w+w-7
1. w-2
2. All real numbers
3. No solution
4. w-2
Answer:
2. All real numbers
Step-by-step explanation:
Hope this helps!
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New, larger bottle of shampoo contains 20 ounces. the bottle says you get 33% more than the amount in the original bottle. how many ounces of shampoo were in the original bottle?
Amount of shampoo in the original bottle is 15.0376 ounces.
Larger bottle of shampoo contains = 20 ounces
Let, amount of shampoo in the original bottle = x ounces
33% of amount of shampoo in the original bottle = ((33x)/100)
According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write
20 = x + ((33x)/100)
⇒ 20 = x + 0.33x
⇒ 20 = 1.33 x
⇒ x = 20/1.33
⇒ x = 15.0376
Amount of shampoo in the original bottle is 15.0376 ounces.
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it's me again can someone solve this question i'm really bad at fractions
Answer:
it would be A since the plus sign is canceled by the minus sign for the equation.
The number of girls is 17 less than twice the number of boys. Right an equation about this description.
Answer:
g = 2b - 17
Step-by-step explanation:
Girls = g
Boys = b
g = 2b - 17
How much water should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15%
The amount of water that should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15% is: 6ml.
Amount of water added to alcohol solutionLet x represent the amount of water
Hence,
15% = .18(30)/(30+x)× 100
Solve for x
.15 = 5.4/(30+x)
.15(30+x) = 5.4
30 + x = 5.4/.15= 36
x = 36 - 30
x = 6 ml
Therefore the amount of water that should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15% is: 6ml.
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