The data analyst should a)investigate the outlier to determine if it can lead to any important observations and b)use a filter to highlight the outlier, as it is more important than the rest of the data.
When analyzing data, it is important to look at outliers as they can provide valuable information. Outliers can point to an unexpected correlation or reveal a hidden trend that could be missed if they were removed. By investigating the outlier, a data analyst can look for any important observations the outlier might reveal.
Additionally, using a filter to highlight the outlier allows the analyst to focus on the outlier and compare it to the other data points. This can help the analyst to understand how the outlier differs from the rest of the data and draw any relevant conclusions.
Removing the outlier should be avoided as it can lead to data bias and remove important information from the analysis.
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X=7-3y ; 4x-7y=-10
I need help with this question
Therefore , the solution of the given problem of equation comes out to be x value is 79/19 and y = 18/19.
Equation : What is it?The equal symbol (=) is used in mathematical equations to denote equality between two propositions. Mathematical equations, which seem to be expressions of reality, are used to demonstrate how different numerical elements can be compared. For instance, the equal sign splits the integer 12 or the equation y + 6 = 12 into 2 different halves. One can compute how many characters each edge of a symbol has. Contradictory meanings are common in symbols.
Here,
Given :
=> x = 7 -3y
and
=> 4x -7y = 10
=> 4(7-3y) - 7y = 10
=> 28 -12y - 7y = 10
=> 28 - 19y = 10
=> 18 = 19y
=> y = 18/19
=> x = 7 - 3(18/19)
=> x = 133 - 54 / 19
=> x = 79 /19
Therefore , the solution of the given problem of equation comes out to be x value is 79/19 and y = 18/19.
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In hopes of encouraging healthier snacks at school, Camille brought in a tray of carrot sticks and apple slices to share. She brought 16 carrot sticks and 48 apple slices. What percentage of the snacks were carrot sticks?
Answer:
The number of carrot sticks and apple slices is 16 + 48 = 64.
The percentage of carrot sticks is (16 / 64) * 100 = 25%.
Shanice goes on vacation. She has $1,750 saved in her checking account for vacation. Each day, she withdraws $125 to pay for meals & entertainment expenses.
Brianna has $550 in her account when Shanice goes on vacation. Then, Brianna deposits $75 from her
On which day will the amount in Brianna's saving account be equal to the amount in Shanice's checking account?
Please enter your answer then show the steps.
By solving linear equations, we will see that Shanice and Brianna will have the same amount after 6 days.
On which day will the amounts be equal?We know that Shanice has $1,750 saved in her checking account for vacation. Each day, she withdraws $125 to pay for meals & entertainment expenses. Then the amount in her account after x days is modeled by the linear equation:
S = 1,750 - 125*x
And Brianna has $550 and adds $75 each day, so she as:
B = 550 + 75*x
Both of them will have the same amount when:
1,750 - 125*x = 550 + 75*x
1,750 - 550 = 75*x + 125*x
1200 = 200*x
1200/200 = x
6 = x
They will have the same amount after 6 days.
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given the quadratic function y=x^2+ax+b, the maximum value is -3, and the graph passes through point (1,1). find the values of the consists a and b.
Answer:
-1.5 and 1.5
Step-by-step explanation:
Let's call the maximum value of the function "c." The equation for the parabola is now y = x^2 + ax + (b - c).
Using the point (1,1), we can solve for "a" and "b":
1 = 1^2 + a(1) + (b - c)
1 - a + b - c = 1
c - a + b = 0
c = -a + b
And using the fact that the maximum value is -3:
-3 = -a + b
a - b = 3
Combining these two equations:
-3 = -a + b = a - b
-3 = 2a
a = -1.5
Plugging in "a" to either equation:
-3 = -(-1.5) + b
-3 = -1.5 + b
b = -1.5 + 3 = 1.5
So the values of "a" and "b" are -1.5 and 1.5, respectively.
Pls mark brainliest hope this helps :)
I SERIOUSLY NEED HELP! My homework is due Monday and I have no idea how to solve this: m<2=4x-26, m<3=3x+4
The solution to the given system of inequalities is x belongs to (-1/3, 7).
The system of two inequalities represents two lines in a 2D plane and the solution is the common area between the two lines that satisfies both inequalities. Here's one way to solve this system:
Solve each inequality for x to get the equation of a line:
m<2: 4x - 26 < 2 -> 4x < 28 -> x < 7
m<3: 3x + 4 < 3 -> 3x < -1 -> x < -1/3
Plot both lines on a coordinate plane and shade the region where both inequalities are satisfied.
The solution is the set of all points that satisfy both inequalities and lies in the shaded region, which is x < 7 and x < -1/3. The solution is therefore x < min(7, -1/3) = -1/3 < x < 7.
So, the solution to the system of inequalities is x belongs to (-1/3, 7).
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What type of triangle is this triangle?
•
acute scalene
•
acute isosceles
right scalene
right isosceles
Answer:
Right isosceles
Step-by-step explanation:
AB = BC
∠ABC = 90°
An isosceles triangle with a right angle is known as an isosceles right triangle
The sum of two integers with different signs is 6. Select all the pairs of integers that fit this description.
Answer:
12 and -6
-4 and 10
Step-by-step explanation:
prove that the two definitions of conditional independence of random variables are equivalent
A conditional statement is a logical statement that has two parts, a hypothesis [tex]p[/tex] and a conclusion [tex]q[/tex].
When a conditional independence statement is written in if-then form, the "if" part contains the hypothesis and the "then" part contains the conclusion.
The conditional probability of A given B is represented by [tex]P(\frac{A}{B} )[/tex] . The variables A and B are said to be independent if [tex]P(A) = P(\frac{A}{B} )[/tex] (or alternatively if [tex]P(A,B) = P(A) P(B)[/tex] because of the formula for conditional probability ).
In a situation in which we can compute all three probabilities [tex]P(A) , P(B)[/tex] and P(A∩B), it is used to check whether or not the events A and B are independent: If P(A∩B) = [tex]P(A)P(B)[/tex], then A and B are independent.
Conditional independence depends on the nature of the third event. If you roll two dice, one may assume that the two dice behave independently of each other. Looking at the results of one dice will not tell you about the result of the second dice. (That is, the two dice are independent.)
Therefore,
A conditional statement is a logical statement that has two parts, a hypothesis [tex]p[/tex] and a conclusion [tex]q[/tex].
When a conditional independence statement is written in if-then form, the "if" part contains the hypothesis and the "then" part contains the conclusion.
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What is the area of a circle with a diameter of 12 meters? Leave the answer in terms of π. 6π square meters 12π square meters 36π square meters 144π square meters
The area of the circle is 36π square meters. Option C is the correct option.
What is the area of an object?
Area is the total amount of space occupied by a flat (2-D) surface or an object's shape. On a piece of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
Given that the diameter of a circle is 12 meters.
The radius of a circle is half of its diameter.
The radius of the circle is 12/2 = 6 meters.
The area of a circle is πr², where r is the radius of the circle.
The area of the circle is π6² = 36π
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Do taller people tend to jump higher? Student researchers investigated this question by measuring the height in inches and standing vertical leap of 74 different students. Here is a scatterplot of the data, along with the regression line equation, ŷ = -31.20+0.70x, where y= vertical jump in inches and x= height in inches. Predict the vertical leap of a student who is 68 inches tall.
Answer:
Yes they do. The vertical leap is -31.27 degrees to the power of the square root of 3.
Step-by-step explanation:
I am also 68 inches so...yeah.
f:x-2x+3 is a mapping defined on the set R of real numbers. Determine the pre-images of (a) 1 (b) -1 (c) 7 (d) -5
F[g(x-1)] has a value of 2x2-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer.
What are Operations on functions?The functions can be added, subtracted, multiplied, or divided in the same manner that we add, subtract, multiply, and divide the terms in a function.
Consider f(x) and g, two functions (x). These are the notations:
To add, use the formula (f+g)(x) = f(x) + g(x)
for subtraction (f-g)(x) = f(x) - g(x)
To multiply, use the formula (fg)(x) = f(x)* g(x)
The division formula is (f/g)(x) = (f(x))/(g(x)).
A function that considers one function to be a component of another function is created when we replace one function for another.
So now, f(g) = 2g-3.
When provided, g = x^2+5
So, g(x-1) = (x-1)^2+5
By changing g's value (x-1)
F[g(x-1)] has a value of 2x²-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer.
F[g(x-1)] has a value of 2x²-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer
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Challenge A bicycle wheel makes five rotations. The bicycle travels 45.79 ft. Find the diameter of the wheel in inches. Use 3.14 for T. The diameter of the wheel is about in. (Round to the nearest whole number as needed.)
The width of the wheel's face, measured from bead seat to bead seat, is known as the wheel diameter or rim diameter.The wheel's circumference is 81.64 inches as a result.
What is the diameter of a wheel?The width of the wheel's face, measured from bead seat to bead seat, is known as the wheel diameter or rim diameter.Considering that's where the tire and wheel meet, it's measured in this manner.
The diameter is 16 inches in our case.The equation for diameter can be solved by dividing both sides by since we already know that C (circumference) = x D (diameter). We discover that D = C/ after doing so.
The wheel's circumference is 81.64 inches.
A circle's circumference is determined by:
C is a circle's circumference.
A circle's diameter is given by d.
As stated in the sentence:
Bike wheels measure 26 inches in diameter.d equals 26 inches.
The wheel's circumference must be determined.
value used = 3.14
The wheel's circumference is 3.14 x 26 or 81.64 inches.
The wheel's circumference is 81.64 inches as a result.
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Down Below: Question
Please help (50 BRAINLIST!!!!!!!!!!!)
The inequalities that represent the constraints in this situation are r+c≥80 and 1.45R +0.75c≤200 respectively
How to determine the inequalities?The amount with victor = $200
Let the number of roses purchased by Victor be R,
Also, Rose cost $1.45 each
Therefore cost of rose = 1.45R
A;so, let the number of carby Victor be C at a cost of $0.65 each nation purchased by victor be $0.65 each
Therefore, cost of carnation = $0.65c
1) The inequality to represent the constraint that every person takes home at least one rose is r+c≥80 and
2) the inequality to represent the cost constraint is 1.45R + 0.65≤200
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A jar of quarters and dimes has  a total value of $20.70. The jar has 10 more quarters than dimes. To find the number of quarters and dimes in the jar, Addison wrote the following system of equations. Explain Addison’s error.
0.25x+0.10y=20.75
Y=x+10
Addison's error is that the second equation should be 0.25x + 0.10y = 20.70, not 20.75.
What is equation?An equation is a mathematical statement consisting of an expression and an equal sign. It is used to express a relationship between two or more variables, and is often used to solve mathematical problems. An equation can be written in a variety of forms, such as a single line, two lines, or a system of equations. An equation typically contains two elements: an expression and an equality sign. An expression is a combination of terms, such as numbers, variables, and operations.
Addison's error is that the second equation should be 0.25x + 0.10y = 20.70, not 20.75. This is because the total value of the quarters and dimes is $20.70, not $20.75. The second equation should also state that y is equal to x plus 10, not just x.
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Two ladders are leaning against the wall as shown below. What is the length of the longer ladder?
The length of the longer ladder is 50 ft. Therefore, the answer is D.
How to find the length of the longer ladder?Two ladders are leaning against the wall as shown below. The length of the longer ladder can be found as follows:
The triangles formed are right angle triangle. The triangles are similar to each other.
Similar triangles are the triangles that have corresponding sides in ratio to each other and corresponding angles congruent to each other.
Therefore, using proportion,
15 / x = 3 / 10
cross multiply
150 = 3x
divide both sides by 3
x = 150 / 3
x = 50
Therefore,
length of the ladder = 50 ft
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Andrew invested a total of 23,000 into two types of bonds. one pays 7.5% simple interest while the other pays 13% .last year the annual interest earned on the two investments was 2,880. how much was invested at each rate.
Andrew invested $3520 at 7.5% and $19,480 at 13%.
How to calculate the investmentLet's call the amount invested in the 7.5% bond "A" and the amount invested in the 13% bond "B".
We know that:
A + B = 23,000
0.075A + 0.13B = 2,880
We can use the second equation to solve for one of the variables, then substitute that value back into the first equation to solve for the other. For example:
0.075A + 0.13B = 2,880
0.13B = 2,880 - 0.075A
B = (2880 - 0.075A) / 0.13
Substituting this expression for B back into the first equation:
A + (2880 - 0.075A) / 0.13 = 23,000
0.875A + 2880 / 0.13 = 23,000 * 0.13
0.875A = 23,000 * 0.13 - 2880 / 0.13
0.875A = 3080
A = 3520
So Andrew invested $3520 at 7.5% and $23,000 - $3520 = $19,480 at 13%.
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The domain is all real numbers, and the range is all real numbers. The domain is all integers, and the range is all integers that are multiples of 3. The domain is all real numbers, and the range is all integers that are multiples of 3. The domain is all integers, and the range is all real numbers.
The domain is all integers, and the range is all integers that are multiples of 3.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=-3x
We need to find the 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
Domain is (-∞, -∞) and range is (-∞, -∞)
Hence, the domain is all integers, and the range is all integers that are multiples of 3.
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Pls help with showing work
Answer:
[tex]\sqrt{27}[/tex]
Step-by-step explanation:
because [tex]\sqrt{27} = 5.19[/tex]
so 5.19<5.34
Answer:
5.34
Step-by-step explanation:
Step 1:
First, we need to find the perfect square that is closest to but less than 27. The closest perfect square is 25 (5^2).
Step 2:
Now we need to divide the number we are trying to find the square root of (27) by the closest perfect square (25). In this case: 27/25 = 1.08
Step 3:
We can now find an approximate value for the square root of 27 by multiplying the closest perfect square (5) by the quotient obtained in step 2 (1.08). So, the approximate value of √27 is 5.40
Step 4:
In order to find a more accurate value of the square root, we can use the long division method.
Step 5:
We set up a long division problem with the dividend being 27 and the divisor being 5.
27 5
2 5
So, the quotient is 5 and the remainder is 2.
Step 6:
Now we bring down the next two digits (0) to get a new dividend of 20.
27 5
20
Step 7:
We divide 20 by 5 and get 4 as the quotient.
Step 8:
The final value of the square root of 27 is 5.4 (5 + 4/10)
Note: The process above is providing the approximate value of square root of 27, while the exact value of the square root of 27 is √27 = √(3^3) = 3.
That's why our answer is 5.34
Quadrilateral ABCD is a rhombus. If mzCDB = 6y° and mZACB = (2y + 10)°, find the value of y.
Answer: [tex]y=10[/tex]
Step-by-step explanation:
Note that [tex]\angle ACB \cong \angle ACD[/tex] because diagonals of a rhombus bisect the angles from which they are drawn.
Now, because [tex]m\angle DEC=90^{\circ}[/tex] since diagonals of a rhombus are perpendicular, it follows that [tex]m\angle CDB+m\angle ABC=90^{\circ}[/tex].
[tex]6y+2y+10=90\\\\8y+10=90\\\\8y=80\\\\y=10[/tex]
can someone help me pls for 50 pts
Answer:
62 square units
Step-by-step explanation:
Area = 2(lb+lh+bh)
= 2(3×2+3×5+2×5)
= 62
The solid represented by the net is a rectangular prism.
And, The surface area of the solid is , 62.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The solid represented by the net.
Here, We know that;
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.
Hence, The solid represented by the net is a rectangular prism.
Here, The length of the rectangular prism (l) = 5
The width of the rectangular prism (w) = 2
The height of the rectangular prism (h) = 3
We know that;
The surface area of the rectangular prism = 2 (wl + hl + hw)
Substitute all the values, we get;
The surface area of the rectangular prism = 2 (2×5 + 3×5 + 3×2)
The surface area of the rectangular prism = 2 (10 + 15 + 6)
The surface area of the rectangular prism = 2 × 31
The surface area of the rectangular prism = 62
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A candle is 22 cm long. After burning for 11 minutes, the candle is 5.5 cm long. How much time will the candle take to burn out completely at the same rate?
Answer: The candle will take 16.5 cm of wax to burn out.
Step-by-step explanation:
The candle will take 22 - 5.5 = 16.5 cm of wax to burn out.
At the same rate, if the candle burned for 11 minutes and the remaining length was 5.5 cm, it will take 11 * (22/5.5) = 44 minutes to burn out.
a uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 32.0°. it momentarily stops when it has rolled 2.70 m along the ramp. what was its initial speed?
The initial speed of the uniform solid ball rolling smoothly along a floor inclined at 32° is 5.3 m/s.
We can use the conservation of mechanical energy to solve for the initial speed of the ball. The initial mechanical energy of the ball is equal to the final mechanical energy of the ball when it reaches the top of the ramp.
Initial mechanical energy = Final mechanical energy
1/2 mv^2 = mgh + 1/2 mv'^2
where
m = mass of the ball
v = initial speed
g = acceleration due to gravity (9.8 m/s^2)
h = height of the ramp (2.70sin(32°) = 1.43 m)
v' = final speed = 0 m/s
Solving for the initial speed, we get:
v = √(2gh) = √(2 * 9.8 * 1.43) = √(28.04) = 5.3 m/s.
So, the initial speed of the ball is 5.3 m/s.
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find the inequality represented by the graph.
The inequality can be written as y < 1/4x + 3.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
The inequality can be written by finding the equation of the line. The two points on the line are ( 0,3) and ( 4,4).
The slope of the line is,
Slope = ( 3 - 4 ) / 9 0 - 4 )
Slope = 1 / 4
The y-intercept of the line will be calculated as:-
y = mx + c
3 = 0 +c
c = 3
The equation of the inequality can be written as:-
y < (1/4)x + 3
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Donna is running around a track. It takes her 3 1/2 minutes to run 1/4 of a lap. If she keeps running at the same speed:
1. How long will it take her to run 5 laps?
2. Rate needed?
3. Unit rate?
4 Interpretation of unit rate?
If Donna is running around a track. It takes her 3 1/2 minutes to run 1/4 of a lap. If she keeps running at the same speed. The time it take her to run 5 laps is: 70 minutes .
How to find the time?1. It takes Donna 3 1/2 minutes to run 1/4 of a lap. So,
it takes her 3 1/2 * 4 = 14 minutes to run 1 full lap.
Thus, it will take her 14 * 5 = 70 minutes to run 5 laps.
2. To find the rate needed, we need to know the time and distance. Since Donna runs 1/4 of a lap in 3 1/2 minutes.
The rate can be expressed as 1/4 lap / 3 1/2 minutes.
3. To find the unit rate, we need to convert the time to a common unit, such as seconds.
So,
3 1/2 minutes = 3.5 * 60
= 210 seconds.
The unit rate will then be 1/4 lap / 210 seconds.
3. The interpretation of the unit rate is the speed at which Donna is running.
Therefore the time it take her to run 5 laps is: 70 minutes .
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refer to the market for good x. p0=$15, pa=$21, p*=$31, pb=$44, p1=$57, q0=10, q*=30, q1=50, and q2=70. how many units are exchanged when the price is $44?
At a price of $44, 30 units of good x are exchanged. This can be calculated by subtracting the quantity supplied at price $15 (q0=10) and the quantity supplied at price $31 (q*=30) from the quantity demanded at price $44 (q1=50).
At a price of $44, the quantity of good x that is exchanged can be calculated by subtracting the quantity supplied at price $15 (q0=10) and the quantity supplied at price $31 (q*=30) from the quantity demanded at price $44 (q1=50). The quantity supplied at price $15 is 10 units, the quantity supplied at price $31 is 30 units, and the quantity demanded at price $44 is 50 units. Therefore, the quantity exchanged at price $44 is 50 units minus 10 units (q0) minus 30 units (q*) which equals 10 units. Thus, the quantity of good x exchanged at price $44 is 10 units.
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I am so confused with this can someone please help me?
The required coordinate of point H is given as (d+c, b), as per the given condition.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
As point H is collinear with point G so the y coordinate of the Point H is equal to y coordinate point G,
So
Y coordinate of point H = b
Now,
x coordinate of point H is given as,
Line GH is parallel with LINE FE
So, x-coordinate = FE = d-(-c) = d+ c
Thus, the required coordinate of point H is given as (d+c, b), as per the given condition.
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Express 75 cm as a percentage of 2 m.
Answer:
37.5% is the answer to this question
Answer:
37.5%
Step-by-step explanation:
General Explanation:
(1m = 100cm
2m = 200cm)
= (75cm ÷ 2m) × 100
= (75 ÷ 200 ) × 100
= 75 ÷ 2%
= 37.5%
_________________________________
Easier Explanation (Decimal to Percentage):
(1m = 100cm
2m = 200cm)
= 75cm ÷ 200cm
= 75 ÷ 200
= 0.375 (3/8 as a fraction)
= 37.5%
show that if s1 ⊆ s2, then s2 ⊆ s1
The statement "s1 ⊆ s2" means that every element in set s1 is also an element in set s2. In other words, set s1 is a subset of set s2.
To prove this, we can use a logical contrapositive argument. Assume that s2 is not a subset of s1, meaning there exists at least one element in set s2 that is not in set s1. Then, this means that s1 is not a subset of s2, which contradicts our original assumption that s1 ⊆ s2. Thus, we conclude that if s1 ⊆ s2, then s2 ⊆ s1.
Hence, if set s1 is a subset of set s2, then every element in set s1 is also in set s2. As a result, set s2 is also a subset of set s1.
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PLEASE HELP ASAP! PLEASE ITS DUE TODAY. Thanks have a great day! :)
Part A: Solve the inequality, showing all necessary steps. (3 points)
Part B: Describe the graph of the solution. (3 points)
*WILL MARK BRANLIST*
The solution to the inequality is x = 0
The graph of x = 0 is a line that separates the plane into two half-planes
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
|1/5x + 2| + 4 >= 6
This gives
|1/5x + 2| >= 2
Remove the absolute bracket
2 <= 1/5x + 2 <= 2
So, we have
0 <= 1/5x <= 0
Evaluate
0 <= x <= 0
This means that
x = 0
Describe the graph of the solutionThe graph of x = 0 is a vertical line in the coordinate plane that passes through the origin (0,0) and extends infinitely in both positive and negative directions along the y-axis.
It represents all points that have an x-coordinate of 0.
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vikas ranks 9th in the class. how many students are there in the class? statements : 1) his friend got the 35th rank which is the last rank. ii) his rank from the last is 27th
There are total 35 students in the class.
Given that,
Vikas ranks 9th in the class,
Assume that there are 'n' number of students in the class
Therefore,
There are 8 students who have scored better than him.
So, The total number of students with a rank better or equal to Vikas,
= 8 + 1 (Vikas himself)
= 9.
Now, his friend got the 35th rank which is the last rank
This means that there are a total of 35 students in the class.
Also, also given that,
Vikas's rank from the last is 27th,
This means that there are 26 students who have scored lower than Vikas.
So, the total number of students with a rank worse or equal to Vikas,
= 26 + 1 (Vikas himself)
= 27.
Therefore, The total number of students in the class = 35.
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