The observed chi square score rounded to the nearest hundredth is 31.32. So, the option D is correct.
In the given question;
Of the 47 men polled, 25 agreed and 10 were neutral.
Of the 50 women polled 14 agreed and 5 were neutral.
Of the 41 transgendered people polled 18 agreed and 4 were neutral.
Of the 50 non-binary people, 6 agreed and 12 were neutral.
The rest disagreed with such a platform being allowed to exist in our society.
We have to find how many transgendered people would be expected to disagree with such a platform being allowed to exist in our society under the null hypothesis.
We can determine the anticipated frequencies for each cell in the contingency table using the following formula:
Expected Frequencies
Agree Disagree Neutral
Men 15.5 31.5 10
Women 8.5 41.5 5
Transgender 12.5 28.5 4
Non-binary 3.5 46.5 12
The formula for Pearson's chi square test to calculate the chi square score:
Χ² = ∑(Observed - Expected)² / Expected
Χ² = [(25 - 15.5)² / 15.5] + [(14 - 8.5)² / 8.5] + [(18 - 12.5)² / 12.5] + [(6 - 3.5)² / 3.5] + [(22 - 31.5)² / 31.5] + [(36 - 41.5)² / 41.5] + [(23 - 28.5)² / 28.5] + [(44 - 46.5)² / 46.5] + [(10 - 10)² / 10] + [(5 - 5)² / 5] + [(4 - 4)² / 4] + [(12 - 12)² / 12]
Χ² = 31.32
Hence, the option D is correct.
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The right question is:
A university student wishes to explore whether GENDER (man, woman, A university student wishes to explore whether GENDER (man, woman, trans, non-binary) is associated with AGREEMENT (agree, disagree, neutral) to the existence of a social media platform that allows almost all forms of non-violent free speech, with minimal content moderation to censure only the most egregious of posts, Of the 47 men polled, 25 agreed and 10 were neutral. Of the 50 women polled 14 agreed and 5 were neutral. Of the 41 transgendered people polled 18 agreed and 4 were neutral, Of the 50 nonbinary people, 6 agreed and 12 were neutral. The rest disagreed with such a platform being allowed to exist in our society. The student wishes to test the hypothesis of independence using Pearson's chi square test. Determine the observed chi square score rounded to the nearest hundredth.
A. 0.25
B. 0.53
C. 0.54
D. 31.32
E. None of the above
2x+5/x+2>_ x-1/x-2
Which shows all the critical points for the inequality
O x= -2, x = 1, and x = 2
Ox=-6 and x = 2
Ox=-4 and x = 2
Ox=2
The critical points for the inequality (2x+5/x+2>_ x-1/x-2), are x = -2 and x = 2. Option A
What are the critical points?Generally, To find the critical points for the inequality, you need to set the expression on the left side of the inequality equal to zero and solve for x. This will give you the values of x where the inequality changes direction.
In this case, the inequality is:
2x + 5/(x + 2) > 0
To find the critical points, you can set the expression on the left side equal to zero and solve for x:
0 = 2x + 5/(x + 2)
0 = 2x + 5 - 5/(x + 2)
0 = 2x - 5 + 5/(x + 2)
0 = 2x - 5 + 5(x + 2)/(x + 2)
0 = 2x - 5 + 5x + 10
0 = 7x - 15
x = -2, x = 2
Therefore, the critical points for the inequality are x = -2 and x = 2.
It is not correct to say that the critical points are x = -6 and x = 2, x = -4 and x = 2, or x = 2. These values do not correspond to any points where the inequality changes direction.
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Answer: B -6 and x=2
Step-by-step explanation: for edgen.
the area a of a square is increasing at 6cm2 per minute. how fast is the side length of the square changing when a
A square's area an is growing at a rate of 6 cm2 each minute. The side length of the square is increasing at a rate of 2.45 cm/min.
The side length of a square is related to the area of the square by the equation side length = square root of (area). That means, if the area is increasing, the side length of the square is also increasing. To calculate the rate at which the side length is changing, we can take the derivative of the equation side length = square root of (area) with respect to time. This gives us a rate of change of 2.45 cm/min. This means that for every minute the area increases by 6 cm2, the side length of the square will increase by 2.45 cm.
Rate of change = d(side length) / dt
= (1/2) * (d(area) / dt) / (square root of (area))
= (1/2) * (6 cm2/min) / (square root of (area))
= 2.45 cm/min
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find the area of the region enclosed by one loop of the curve. r = sin(10θ)
The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.
We have to find the area of the region enclosed by one loop of the curve.
The given curve is:
r = sin(10θ)
Consider the region r = sin(10θ)
The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is
A = [tex]\int^{b}_{a}\frac{1}{2}r^2d\theta[/tex]
Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.
sin(10θ) = 0
sin(10θ) = sin0 or sin(10θ) = sinπ
So θ = 0 or θ = π/10
Hence, the limit of θ is 0 ≤ θ ≤ π/10.
Now the area of the required region is
A = [tex]\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta[/tex]
A = [tex]\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta[/tex]
A = [tex]\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta[/tex]
A = [tex]\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta[/tex]
A = [tex]\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}[/tex]
A = [tex]\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right][/tex]
A = [tex]\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right][/tex]
A = 1/4[(π/10-0)-(0-0)]
A = 1/4(π/10)
A = π/40
Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.
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A certain amount of money wa divided between jaya and jyoti in the ratio 3:4. If jaya recieved R2700,then how much wa the total amount
By setting up the equation and solving we get the total amount of money was 1800.
What is ratio?A ratio is a way of comparing two or more quantities. It is expressed as a fraction or a decimal, and it represents the relative sizes of the quantities being compared.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. An equation typically consists of two expressions separated by an equals sign (=), and it states that the expressions are equal in value.
we can set up the following equation:
(2700 / X) = (3 / 4)
We can solve this equation for X by multiplying both sides by X:
2700 = (3 / 4) * X
2700 = (3 / 4) * X
5400 = 3X
X = 5400 / 3
X = 1800
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given the data below for the reaction, 2 a + 2 b + 4 c => d + e + 3 f
For the given data for the reaction, 2 A + 2 B + 4 C => D + E + 3 F, the reaction is zero order in A, second order in B, first order in C and third order overall.
Let the order of reactions be a, b and c for reactions A, B and C respectively.
Then A^{a}B^{b}C^{c} ∝ R
Considering experiment 1 and 2, only concentration of A changes but it has no effect in the total. So a = 0.
Considering experiment 2 and 3, concentration of A and B changes, but it is found that A has no effect. So
(B₃ / B₂)^{b} = (R₃ / R₂)
(0.4/ 0.2)^{b} = (0.008/ 0.002)
2^{b} = 4
Therefore b = 2
Considering experiment 2 and 4
(A₄/ A₂)^{a}(B₄/B₂)^{b}(C₄/ C₂)^{c}= (R₄/ R₂)
(0.4/ 0.2)^{0}(0.6/ 0.2)^{2}(0.2/ 0.4)^{c}= (0.009/ 0.002)
3² × 0.5^{c} = 9/ 2
c = 1
Overall order of reaction = a + b + c
= 0 + 2 + 1
= 3
--The question is incomplete, answering to the question below--
"Given the data below for the reaction, 2 A + 2 B + 4 C => D + E + 3 F, the reaction is _____________ order in A, _______________ order in B, ______________ order in C and ______________ order overall."
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The prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500.
The price that is 3 standard deviations above the mean is $__
The price that is 2 standard deviations below the mean is $__
The percentage of buyers who paid between $16,500 and $17,500 is %__
The percentage of buyers who paid between $17,000 and $18,000 is %___
The percentage of buyers who paid less than $16,000 is %__
Answer:
Step-by-step explanation:
they are telling you the standard deviation , it's 500
then they ask, what's 3 times that. It's kinda obvious, when I put it in words like that so i'll let you do that math. 17,000 + (3*500) = ?
b)
17000 - (2*500) = ?
c)
This is the bell curve numbers of 1 deviation, it's 68%, if you don't recall
d)
it will be 1/2 of the 2nd deviation, or 95% * 0.5 = 47.5%
e)
this is the tiny amount outside of the main part of the 2 deviation on the bell curve.
5% is outside of the 2nd deviation. so it's half of that or 2.5%
Understand?????
:/
Mr. Green mowed 2 5 of hi lawn. Hi on mowed 1 3 of it. Who mowed mot of the lawn? How much of the lawn till need to be mowed? Solve thi on paper. Then check your work on Zearn. Who mowed mot of the lawn? i greater than o mowed mot of the lawn
Mr. Green mowed more of the lawn. 2/5 of the lawn still needs to be mowed, according to the concept of proportion or ratio.
To get this answer, we can first set up a proportion or ratio to compare how much of the lawn each person mowed. Mr. Green mowed 2/5 of his lawn and his son mowed 1/3 of it.
2/5 = x/1, We can then cross multiply to solve for x.
2x = 5/3 x = 5/6 Since 5/6 is greater than 1/3, this means that Mr. Green mowed more of the lawn than his son. This means that 2/5 of the lawn still needs to be mowed.
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Find the measure of <1
A. 35 degree
B. 81 degree
C. 82 degree
D. 116 degree
please help!!!
(Picture is provided)
Answer:
A. 35 degree
Step-by-step explanation:
The 116-degree angle must add with the inside angle to get 180. The inside angle is 64 degrees.
81 + 64 = 145
A triangle has 180 degree
180 - 145 = 35 degree
So, the answer is A
A metal i made up of copper and zinc in the ratio 3:2 by volume. 1cm cube of copper ha a ma of 8. 9g and 1cm cube of zinc ha a ma of 7. 1g. Find the ma of 100cm cube of the metal
When metal is composed of copper and zinc in a 3:2 by volume ratio, the mass of metal in a 100cm cube is 1600g.
What is proportion?A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province. The population percentage is marked by the letter p, whereas the sample proportion is denoted by the letter p. Thus, p=0.43 if 43% of individuals visiting a business make a purchase before leaving. If 78 customers out of 200 enter the store and make a purchase, p=78200=0.39.
Here,
1/8.9=100/x
x=890g
1/7.1=100/x
x=710g
Total mass of metal=890+710
=1600g
The mass of metal in 100cm cube is 1600g when metal is made up of copper and zinc in the ratio 3:2 by volume.
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if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, what is the maximum likelihood estimate for the bias of this coin (p(heads))? round to the nearest 0.001.
if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, 0.333 is the maximum probability estimate for the bias of this coin .
The maximum likelihood estimate for the bias of a coin is the ratio of the number of times it has come up heads to the total number of outcomes. In this case, the maximum likelihood estimate is 10/30, or 0.333. This is the most likely bias of the coin, rounded to the nearest 0.001. if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, 0.333 is the maximum probability estimate for the bias of this coin .
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If you can’t see the last part, it’s a 10.
Answer:
I don't know what is the answer
bert is driving along a country road at a constant speed of 30 miles per hour. how long does it take him to travel 50 miles? make sure to convert the answer into hours and minutes. an hour and 30 minutes an hour and 40 minutes an hour and 15 minutes an hour and 50 minutes
The time taken by Bert to travel 50 miles distance with constant speed 30 miles per hour is an hour 40 minutes. So, right answer is option (b).
What is speed ?Speed is defined as the rate at which a particular object able to move or operate. It is a ratio of amount of distance to the time. Speed of object may be fast , slow or constant. The constant speed means there is no increase or decrease in speed during rides.
We have,bert's constant speed=30 miles/hour .
We have to calculate the time taken by Bert to travel 50 miles, i.e distance = 50 miles . Let "t hours " be time taken by Bert to travel 50 miles.
Speed= distance/time
=> time = distance/speed
=> t = 50 miles /30 miles/1 hour
=> t = 5/3 hours
Conversion of hours into minutes :
one hour = 60 minutes
5/3 hour =( 5/3 )× 60 minutes
=> 5/3 hour = 100 minutes = 60 minutes + 40 minutes= 1 hour 40 minutes
So, required time is 1 hour 40 minutes.
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Complete question:
bert is driving along a country road at a constant speed of 30 miles per hour. how long does it take him to travel 50 miles? make sure to convert the answer into hours and minutes.
a)an hour and 30 minutes
b) an hour and 40 minutes
c)an hour and 15 minutes
d)an hour and 50 minutes
Which expression is equivalent to 4 +(4x(5-2) divided by 2
Answer:
Step-by-step explanation:
1) Do what's in the parentheses first. (5 - 2 = 3)
2) 4x times 3 = 12x
3) 12x + 4
Solve the following inequality and plot the answer on the number line shown below.
Answer: n > 3
Step-by-step explanation:
A circle above 3 going right
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? Responses
Considering the expression of a line, the equation of the line that passes through the pair of points (−4, −1) and (5, 7) is y=8/9x + 23/9.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of the line can be calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points in the expression y = mx + b, the value of the ordinate to the origin b can be obtained.
Equation in point-slope form in this caseBeing (x₁, y₁)= (-4, -1) and (x₂, y₂)= (5, 7), the slope m can be calculated as:
m= (7 - (-1))÷ (5 - (-4))
Solving:
m= (7 +1)÷ (5 + 4)
m= 8÷ 9
m= 8/9
Considering point 2 and the slope m, you obtain:
7= 8/9×5 + b
7= 40/9 +b
7-40/9= b
23/9=b
Finally, the equation of the line is y=8/9x + 23/9.
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a ship leaves a harbor. it travels 35 miles due east and then adjusts its course 40 degrees northward. after traveling 45 miles in that direction, how far is the ship from its point of departure?
a ship leaves a harbor. it travels 35 miles due east and then adjusts its course 40 degrees northward. after traveling 45 miles in that direction,The distance from the ship's point of departure is approximately 59.9 miles.
To determine the distance from the ship's point of departure, we must first break down the distance traveled into x and y components. Initially, the ship traveled 35 miles due east, which can be represented as 35 miles on the x-axis. When the ship adjusted its course 40 degrees northward, it traveled 45 miles in that direction. This can be represented as 45 miles in the y direction, forming a triangle with the origin (point of departure). Using the Pythagorean theorem, we can calculate the hypotenuse of the triangle, which is equal to the distance from the point of departure. The hypotenuse of the triangle is equal to the square root of (35^2 + 45^2), which is equal to approximately 59.9 miles. Therefore, the distance from the ship's point of departure is approximately 59.9 miles.
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if the residuals violate the assumption of normality, we expect that a. the sample was not taken randomly. b. confidence intervals may be unreliable. c. least squares formulas will fail. d. the residuals will not sum to zero.
The assumption of normality is important for valid results. If the residuals do not follow a normal distribution, then confidence intervals may not be accurate and should not be trusted.
The assumption of normality is a key element of statistical analysis. It suggests that a dataset follows a normal bell-shaped curve, which is important for reliable results. If the residuals of a dataset do not follow a normal distribution, then the assumptions of statistical techniques such as confidence intervals, least-squares formulas, and sample randomness, may be unreliable. This means that the results of any statistical analysis will be affected and not be as accurate as they could be. In this case, confidence intervals may be particularly unreliable since they rely on the assumption that the data is normally distributed. Therefore, if the residuals do not follow a normal distribution, it is important to investigate further to ensure the accuracy of the results.
example;
The mean of the data is 8.3 and the standard deviation is 4.2.
We can calculate the z-score for any given value by subtracting the mean from the value and then dividing by the standard deviation.
if the value is 16, then the z-score would be:
z = (16 - 8.3) / 4.2 = 2.33.
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Given the growth rate of 205%, what is
the growth factor?
Question
Solve for x.
2(x−4 1/2)=−6.1
Enter your answer as a decimal or simplified mixed number in the box.
x =
PLSSSSSSSSSSSSSS HELP
Answer:
x = 1.45
Step-by-step explanation:
2(x - 4 [tex]\frac{1}{2}[/tex] ) = - 6.1 ← distribute parenthesis on left side
2x - 9 = - 6.1 ( add 9 to both sides )
2x = 2.9 ( divide both sides by 2 )
x = 1.45
Which of the following equations correctly represents the distance between points (1, -1) and (-2, 2)?
The equations correctly represent the distance between points (1, -1) and (-2, 2) as d = √(1+2)² + (-1-2)².
What is the distance formula?
The distance formula can be used to calculate the separation between two points on the XY plane. The coordinate of a point is represented as an ordered pair (x, y), where the x-coordinate (or abscissa) is the distance from the x-axis and the y-coordinate (or ordinate) is the distance from the y-axis.
Here, we have
Given
The distance between points (1, -1) and (-2, 2).
We have to find the equation that represents the distance formula
Distance formula = √(x₂-x₁)² + (y₂-y₁)²
Now we put the value of x and y in the formula and we get
d = √(1+2)² + (-1-2)²
d = √3² +(-3)²
d = √9+9
d = √18
d = 3√2
Hence, the equations correctly represent the distance between points (1, -1) and (-2, 2) as d = √(1+2)² + (-1-2)².
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The diameters of two soup bowls with similar shape are 5 inches and 7 inches. The smaller bowl holds 10 fluid ounces. How much does the larger bowl hold?
The well's diameter is between 9 and 10 inches, its rim is 1 to 2 inches wide, it can go up to 1 12 inches deep, and its circumference is between 6 and 7 inches..
What is the typical bowl's diameter?Every bowl—including those with saucers—should be set on an underplate. has a flanged rim, a broad, shallow bowl. The well is 6 to 7 inches across, with a diameter of 9 to 10 inches, a rim that is 1 to 2 inches wide, and a depth of up to 1 12 inches. the sole soup bowl used for a formal supper.
What measurements does a bowl have?The average capacity of a normal bowl is 8 to 12 ounces. The soup bowl, that may or may not have handles, and the finger bowls,
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Which of the following is not a parallelogram a square?
Answer:
Step-by-step explanation:
Try to remember the properties of each of the mentioned figures like the square is a parallelogram with all sides equal and all interior angles equal to 90o . Once you are able to recollect the definitions of each figure, use the definitions to reach an answer. Drawing the figures might be very helpful.
Complete step-by-step answer:
Let us try to remember the definitions of all the figures mentioned one by one. First let us start with Rhombus. So, rhombus is a parallelogram with all its sides equal and diagonals perpendicular to each other.
Percentage increase and decrease problems
Your wages increase by 11%.
They used to be £10 p/h what is
your new wage?
Your new football s boots are reduced
by 17% in the sale. They used to cost
£35, what is the new price?
Claire improves her further distance
for running by 19%. She used to be
able to run km. How far can she run
now?
The new wage is £11.1
The new price of the boot is £29.05Her improved distance is 1.19xWhat is your new wage?From the question, we have the following parameters that can be used in our computation:
Old wage = £10
Increase = 11%
The new wage is calculated as
New wage = Old wage * (1 + Old wage)
Substitute the known values in the above equation, so, we have the following representation
New wage = £10 * (1 + 11%)
So, we have
New wage = £11.1
What is the new price?From the question, we have the following parameters that can be used in our computation:
Old price = £35
Decrease = 17%
The new price is calculated as
New price = Old price * (1 - Decrease)
Substitute the known values in the above equation, so, we have the following representation
New price = £35 * (1 -17%)
So, we have
New price = £29.05
How far can she run now?Here, we have
Old distance = x
Improvement = 19%
The new price is calculated as
New distance = Old distance * (1 + Improvement)
Substitute the known values in the above equation, so, we have the following representation
New distance = x * (1 + 19%)
So, we have
New distance = 1.19x
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Please help me with this
The order of the side lengths from least to greatest is; GH< IH< FG< GI< FH.
What is the order of the side lengths from least to greatest?
As with other closed geometric figures, the shortest side length is opposite the smallest angle measure while the longest side length, is opposite the greatest angle measure.
Hence, it follows from the statement above that the order of side lengths is; GH< IH< FG< GI< FH.
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HI I NEED SOME HELP ON THIS QUESTION, THANK YOU VERY MUCH !
A line has a slope of –1/9 and includes the points (6,z) and (–3,5). What is the value of z?
Applying the formula for the slope of a line, the value of x = 4.
What is the Slope of a Line?To find the slope of a line, the following formula or equation can be employed:
Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
Given the following points, (6, z) and (-3, 5) lies on a line that has a slope of -1/9, to find the value of z, follow the steps below:
Let (6, z) be represented as [tex](x_1, y_1)[/tex]
Let (-3, 5) be represented as [tex](x_2, y_2)[/tex].
m = -1/9
Plug in the values:
-1/9 = (5 - z) / (-3 - 6)
-1/9 = (5 - z) / -9
Cross multiply:
-1 × -9 = (5 - z) × 9
9 = 45 - 9z
9 - 45 = -9z
-36 = -9z
Divide both sides by -9:
-36/-9 = -9z/-9
4 = z
z = 4
The value of z is: 4.
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Enter the letter of the graphed function.
a. y = (x + 2)(x - 1)³(x-3)
b. y = (x + 2)(x - 1)(x-3)³
c. y = (x + 2)(x - 1)²(x - 3)²
d. y = (x - 1)(x-3)²(x + 2)²
e. y = (x + 2)²(x-1)²(x-3)
10
Answer:
d. y = (x - 1)(x-3)²(x + 2)²
Step-by-step explanation:
When there is a local max or local min on the x-intercept, then the function on the x-intercept is raised to an even power.
At x=3 and x=-2, the function goes up then down, or down then up.
If the function goes through an x-intercept when there is no local max or local min on the x-intercept, then the function on the x-intercept is raised to an odd power.
At x=1, the function goes through the x-intercept.
Hence, d is the answer.
NEED HELP ASAP PLEASE THANK YOU!!
Answer:
[tex]\sin(\theta ) = \dfrac{\textrm{opposite}}{\textrm{hypotenuse}}[/tex]
Hence,
[tex]\sin(A) =\dfrac{20}{29}[/tex]
If you take 3 away from 100 every minute how long does it take to get to 0
Answer:
100÷3 = 33.33, so 33.33 minutes
Select the correct formula for the polyatomic ion. you can find a list of common polyatomic ions by clicking here. the formula for the ammonium ion: nh3 nh4 am
The chemical formula for ammonium carbonate is (NH₄)₂CO₃. Therefore, option (C) is correct.
When heated, ammonium carbonate, also known as ()2, rapidly breaks down into ammonia and carbon dioxide. It functions as a smelling salt and a leavening agent. Ammonium carbonate, often known as baker's ammonia, was used before baking soda and baking powder as leaveners.
Sal volatile contains ammonium carbonate, and salt of hartshorn when baked emits a strong odour. At standard pressure and temperature, two processes lead to the gradual breakdown of ammonium carbonate. The pure ammonium carbonate sample will combine with different byproducts.
Upon spontaneous dissociation, ammonium carbonate can separate into ammonium bicarbonate and ammonia. which results in the addition of more ammonia, carbon dioxide, and water.
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Answer:
The formula for the ammonium ion: NH4+
The formula for the nitrate ion: NO3–
A chromate ion consists of four oxygen atoms bonded to a chromium atom. It has two extra electrons. The formula of this ion: CrO42–
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\frac{x}{y} x^2+2*x-6/x+1
The division of the polynomial x^2 + 2*x - 6 by (x + 1), using the long division method of dividing polynomials is x + 1 - 7/(x + 1)
What is the long division method?The long division method allows the division of large numbers (which is the dividend) into the number of groups of the divisor and a remainder which is a value less than the expressed value of the divisor.
The expression \_f_rac{x}{y} x^2 + 2*x - 6/x + 1 can be presented as follows;
[tex]\dfrac{x^2+2\cdot x-6}{x + 1}[/tex]The long division showing the steps can be obtained using code found online as follows;
[tex]\begin{array}{*1r {\arraycolsep}{\arraycolsep} *{11}l} & && x + 1 \\\cline{4-3}& &x+1& \longdiv {) x^2 +2\cdot x - 6& & & & & \\ & & & x^2 +x \\\cline{4-} && &\ \ \ x -6& \\ & & \ \ \ & \ \ \ x +1 \\\cline{4-} & & & \ \ \ \ \ \ \ -7 & \\ \cline{4-} \end{array}[/tex]
The remainder of the long division is -7, therefore, we get;
[tex]\dfrac{x^2+2\cdot x-6}{x + 1} = x + 1 - \dfrac{7}{x+1}[/tex]
The value of the expression, \_f_rac{x}{y} x^2 + 2*x - 6/x + 1 following the long division is; x + 1 - 7/(x + 1)
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