Answer:
Step-by-step explanation:
for the study of jordanian children in exercise 64, the sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl. (a) calculate the test statistic. (b) find the p-value using table b. then obtain a more precise p-value from your calculator
The sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl. The test statistic is 50 and then the p-value is 32.93
Mean is the ratio of the sum of all observations to the number of observations. Standard deviation is the measure in which it shows how much the variation such as spread, dispersion, from the mean exists and the study of jordanian children in exercise 64, the sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl.
For the study of jordanian children in exercise 64, the sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl.
Given that, exercise n =64
mean = 11.3 mg/dl
standard deviation = 1.6mg/dl
The test statistic is 50
the p-value is calculated by, (n-mean) / (standard deviation)
(64 - 11.3) / (1.6)
32.93
Therefore, the p-value in which it obtains a more precise value is 32.93
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a random sample of 75 units is drawn from a production process every half hour. the fraction of nonconforming product manufactured is 0.01. what is the probability that if the fraction nonconforming really is 0.01?
The probability of obtaining a random sample of 75 units from a production process where the true fraction of nonconforming product is 0.01 is extremely high. This is because 0.01 is an extremely low fraction, meaning that out of the 75 units in the sample, only 0.75 would be expected to be nonconforming.
The probability that the fraction of nonconforming product is exactly 0.01 (with 0.75 nonconforming units out of 75) can be calculated using the binomial distribution. This distribution assumes that each unit has an independent probability of being nonconforming, and that this probability is the same for each unit. The probability that the sample will have exactly 0.75 nonconforming units out of 75 is 0.907.
Thus, the probability that the true fraction of nonconforming product is exactly 0.01 is very high, and it is likely that a random sample of 75 units drawn from the production process will have a fraction nonconforming that is close to 0.01.
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Factor out the Greatest Common Factor (GCF): 64d^(5)-24d^(2)
Answer: [tex]8d^{2} (8d^3 - 3)[/tex]
Step-by-step explanation:
8d^2 is the GCF for this binomial
Find y.
Round to the nearest tenth:
y
x
27°
350 ft
y = [? ]ft
The value of the variable 'y' in the right-angle triangle round to the nearest tenth will be 178.3 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of the variable 'y' is given by the tangent of the angle 27°. Then we have
tan 27° = y / 350
y = 350 tan 27°
y = 178.3
The value of the variable 'y' in the right-angle triangle round to the nearest tenth will be 178.3 feet.
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The missing diagram is given below.
how many pattern block trapezoids would create 3 hexagons
18 pattern block trapezoids would be needed to create 3 hexagons.
Pattern block trapezoids are geometric shapes used for pattern block activities.
Each hexagon is typically made up of 6 pattern block trapezoids.
To determine the number of pattern block trapezoids required to create 3 hexagons, multiply the number of hexagons by the number of trapezoids in each hexagon.
Number of trapezoids = Number of hexagons × Number of trapezoids in each hexagon
= 3 × 6
= 18
Therefore, 18 pattern block trapezoids would be needed to create 3 hexagons.
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Which expression has the same value as -18-(-9)?
O -18÷2
O −12+(-3)
O -10÷5
O-8+(-4)
Answer: -8 + (-4 )(look at the image for the solution)
Step-by-step explanation:
at the city museum, child admission is and adult admission is . on wednesday, tickets were sold for a total sales of . how many child tickets were sold that day?
Number of child tickets were sold on Wednesday is 33 if three times as many adult tickets as child tickets were sold.
According to the question
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
So, 33 child tickets were sold on Wednesday.
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The complete question is
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
. if these particular light bulbs have a mean lifetime of 2 months with a standard deviation of 0.25 months (per the manufacturer), determine the probability that this box of 40 lightbulbs will last for 5 years.
The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.
The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.
To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.
Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:
standard deviation of the sample mean = standard deviation of the population / square root of the sample size
In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:
0.25 / sqrt(40) = 0.0395
Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).
To find the probability that a bulb will last for 60 months, we can use the following equation:
z = (x - μ) / σ
where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (60 - 2) / 0.0395 = 1509.49
To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.
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A pole that is 3.5 tall casts a shadow that is 1.77 long. At the same time, a nearby building casts a shadow that is 43.5 long. How tall is the building? Round your answer to the nearest meter.
The height of the building is approximately 79.22 meters, rounded to the nearest meter.
To calculate the angle of elevation, we use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle.
We know that the pole is 3.5 meters tall, and its shadow is 1.77 meters long. We can use this information to calculate the angle of elevation of the sun's rays, which is the angle formed between the horizontal line and the line of sight from the top of the pole to the sun.
In this case, the opposite side is the height of the pole (3.5 meters), and the adjacent side is the length of the shadow (1.77 meters). Therefore, we have:
tan(angle of elevation) = opposite/adjacent = 3.5/1.77
Using a calculator, we can find that the angle of elevation is approximately 63.24 degrees.
Now, we can use this angle to find out the height of the building. We know that the shadow of the building is 43.5 meters long, and we want to find its height, which is the opposite side of the right triangle formed by the angle of elevation and the length of the shadow. Therefore, we have:
tan(63.24 degrees) = opposite/43.5
Solving for the opposite, we get:
opposite = 43.5 * tan(63.24 degrees) = 79.22 meters
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help me please i actually cant do this
Answer:
a: Angle 1 and Angle 3
b: Angle 8 and Angle 5
c: Angle 2 and Angle 9
d: Angle 5 and Angle 3
e: none of the above
A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 4 hours?
The equation represents how many grams of the compound will remain after 4 hours m(4) = 0.285m₀
Radiation and decay are important concepts in nuclear physics. The rate at which radioactive compounds decay is measured in terms of half-life and the decay constant.
To solve this problem, we can use the exponential decay equation, which describes the rate of decay of a radioactive substance.
In this scenario, we are interested in finding the remaining mass of the radioactive compound, which can be obtained by multiplying the number of remaining atoms by the atomic mass of the substance. The equation for the remaining mass is:
m(t) = N(t) x m
where:
m(t) represents the mass of the radioactive substance remaining at time t.
N(t) is the number of radioactive atoms remaining at time t.
m is the atomic mass of the substance.
To determine the values of N0 and λ for our radioactive compound, we can use the decay rate given in the problem. If the compound decays at a rate of 27% per hour, it means that the remaining fraction of the substance after each hour is 0.73 (i.e., 100% - 27% = 73%). Therefore, the decay constant can be calculated as follows:
ln(0.73) = -λ
λ = 0.312
Next, we can use the initial mass of the compound (320 grams) and the exponential decay equation to find the remaining number of atoms at 4 hours:
[tex]N(4) = N_0 \times e^{-0.312 x 4}[/tex]
N(4) = N₀ x 0.285
Since we don't know N₀, we can express it in terms of the initial mass and the atomic mass:
N₀ = m₀ / m
where:
m₀ is the initial mass of the radioactive compound.
m is the atomic mass of the substance.
Substituting this into the previous equation, we get:
N(4) = (m₀ / m) x 0.285
Finally, we can use the equation for the remaining mass to find the answer:
m(4) = N(4) x m
m(4) = (m₀ / m) x 0.285 x m
m(4) = 0.285m₀
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A wellness director at a company in New York City wants t0 investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on typical workday: Is it appropriate to use the confidence interval found in part (a) to conduct the investigation? Explain your answer: In the STATE, DO, PLAN, CONCLUDE
The population mean, 9,009, 10,585 employees, and 9,009, 10,585 steps are the solution.
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency.
The term "activity tracker" refers to gadgets, including watches and bands, that record your physical activity, such as walking, jogging, and skipping. They only count your steps and inform you of your daily objectives. They are quite useful for tracking blood pressure and other things.
The 95% confidence interval between 9,009 and 10,585 steps was used to estimate the mean number of steps taken by City employees.
The likelihood of the various values may be estimated using the confidence interval. It may be utilised to derive conclusions about the population mean.
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The triangles are similar.
What s the value of x?
See the attachment for the problem to be answered.
Answer: x=4
Step-by-step explanation: as you saw everything is multiplied by 5 this means the 4 became a 20.
3x+8=20
-8 on both sides
3x=12
divide both sides by 3
x=4
En los mitos y leyendas latinoamericanas, los personajes femeninos suelen representar males que infligen daño a los hombres.¿por que sucede esto?
A possible explanation for why female characters in Latin American myths and legends often represent evils that inflict harm on men is the patriarchal nature of those societies.
Why are women seen as inflicting evil on men in Latin American myths ?In such societies, women were often seen as weaker and more vulnerable than men, and their perceived subservience reinforced the idea that they were not to be trusted. In addition, women were often seen as a threat to male power and authority, and as a result, they were often depicted as malevolent figures who used their cunning and sexuality to manipulate men.
Another explanation is that the portrayal of female characters as evils in these myths and legends was a way of maintaining social order and control. By demonizing women, men were able to justify their own actions and maintain their position of power and control over women.
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SOMEONE HELP URGENT PLS
I’ll give u brainliest and 20 points
Answer:
Step-by-step explanation:
Bottom right is the correct graph. Plot the line y ≤ 3x-4 and shade the area below the solid line. Next plot y < -2x +3 and shade the area below the dashed line. Where the 2 shaded areas intersect is the solution. Bottom right graph show this.
A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. The bottom 1. 5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
A minimum score of 182 is required to stay out of the bottom 1.5% of students and avoid going to summer school.
To find the minimum score required to avoid going to summer school, we need to determine the score that separates the bottom 1.5% of students from the rest of the distribution. This score is also known as the cutoff or the critical value.
We know that the test scores have a normal distribution with a mean of 400 and a standard deviation of 100. To find the critical value, we can use the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We can standardize the test scores using the z-score formula:
z = (x - mu) / sigma
where x is the test score, mu is the mean, and sigma is the standard deviation.
Substituting the given values, we get:
z = (x - 400) / 100
To find the z-score corresponding to the bottom 1.5% of the distribution, we can use a standard normal table or a calculator. The area to the left of this z-score is 0.015, which corresponds to a z-score of approximately -2.17.
Now we can solve for x, the minimum score required to stay out of the bottom 1.5%:
-2.17 = (x - 400) / 100
x = -2.17 * 100 + 400
x ≈ 182
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Triangles EFD and GHI are shown.
Part A
Are the triangles congruent?
Part B
If the triangles are congruent, write the congruence statement. If not, write “not congruent.”
Part C
If the triangles are congruent, write the transformation or sequence of transformations. If they are not congruent, write "not congruent."
The triangles are congruent by SSS and the transformation rule is (x, y) ⇒ (x - 4, y)
Part A: Are the triangles congruent?From the question, we have the following parameters that can be used in our computation:
Triangles EFD and GH
The triangles are congruent because they have equal corresponding side lengths
Part B: The congruent statementThe corresponding sides of the triangles are congruent
So, the congruent statement is SSS
The transformation ruleFrom the figure, we can see that:
EFD is shifted left by 4 units
So, the rule is
(x, y) ⇒ (x - 4, y)
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susan climbed 18 trees throughout each forest in her county. each forest is the same size. is this sample of the trees in the county likely to be representative?
Yes, this sample of the trees in the county likely to be representative if each forest is the same size.
What is representative sample?Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.
For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.
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the cosine and secant functions are ---select--- functions, and the sine, cosecant, tangent, and cotangent functions are ---select--- functions
The sine, cosine, cosecant, and secant functions have a period 2π;
the tangent and cotangent functions have period π.
The pause between any function's repetitions is known as the function's period. The duration of one complete cycle is the period of a trigonometric function. Trigonometric functions include three basic types: sin, cos, and tan, which have periods of -2π, 2π, and π respectively.
If a function repeats itself repeatedly at a predetermined frequency, it is said to be periodic. The formula for t is f(x) = f(x + p), where p is a real number that denotes the period of the function. The period is the interval between two occurrences of the wave.
The complete question is-
The sine, cosine, cosecant, and secant functions have period _______; the tangent and cotangent functions have period _______.
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how many times larger is a centigram than a milligram
A centigram is 100 times larger than miligram as evident through comparison of the two values.
We know that centi can be represented as 1/100 and milli will be represented as 1/1000. Now, the magnitudes representing each of these will be in relation to gram. So, further calculating the times with which centigram is larger than miligram.
For this, the expression to be used is -
Value = centigram/milligram
Keep the values in formula to find the comparison
Value = 1/100 ÷ 1/1000
Rewriting the expression
Value = 1000/100
Performing division on Right Hand Side of the equation
Value = 100
So, we see that centigram is 100 times larger than miligram.
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Kirk prepared 24 kilograms of dough after working 4 hours. How much dough did Kirk prepare if he worked for 7 hours? Solve using unit rates.
If Kirk had worked for 7 hours he would have made 42 kg of dough.
What is unit rate?A unit rate means a rate for one of something.
Given that, Kirk prepared 24 kilograms of dough after working 4 hours, we need to find the amount of dough if he worked for 7 hours.
Calculating the unit rates,
Since, he worked for 4 and made 24 kg,
So, in 1 hour = 24/4 = 6 kg
Therefore, in 1 hour he will make 6 kg
Therefore, in 7 hours he will make = 7x6 = 42 kg
Hence, If Kirk had worked for 7 hours he would have made 42 kg of dough.
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You need to score at least 1500 points on your new video game to abstain the high score. You get 300 points after completing each level. Write a solve an inequality to find the number of levels you must bet to obtain the high score.
Answer:
the answer is 4
Step-by-step explanation:
hope this helps
1.an alternative to ols is least absolute deviation (lad) regression, in which the regression line is selected to minimize the sum of the absolute vertical differences (rather than squared differences) between the line and the data. explain how this might reduce sensitivity to outliers.
The LAD method minimizes the sum of the absolute vertical differences between the observed data points and the predicted values of the regression line, making it more robust to the presence of outliers in the data.
Regression analysis is a powerful statistical tool used to estimate the relationship between two or more variables. The ordinary least squares (OLS) method is the most commonly used regression method. However, the OLS method is sensitive to outliers in the data.
LAD regression is a robust alternative to OLS regression because it minimizes the sum of the absolute vertical differences between the regression line and the data points. This method is also known as L1 regression.
Let's consider an example of a simple linear regression model with n observations, where Y is the dependent variable and X is the independent variable.
The OLS method estimates the parameters of the regression line by minimizing the sum of the squared vertical differences between the observed data points and the predicted values of the regression line.
In mathematical terms, the OLS method can be represented as follows:
minimize the sum of squared vertical differences,
min(β₀, β₁) ∑ (yₐ - β₀ - β₁ xₐ)²
However, if the data contains outliers, the OLS method may produce biased estimates of the parameters of the regression line, leading to incorrect predictions. On the other hand, LAD regression minimizes the sum of the absolute vertical differences between the observed data points and the predicted values of the regression line.
In conclusion, the LAD regression is an alternative to OLS that reduces the sensitivity to outliers. The LAD method minimizes the sum of the absolute vertical differences between the observed data points and the predicted values of the regression line, making it more robust to the presence of outliers in the data.
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Tara has been planting young trees in her garden. The maple tree that is 10 inches taill is
growing 4 inches per month, whereas the oak tree that is 25 inches taill is growing 1 inch per
month. In a few months, the two trees will be the same height. What will that height be?
Write a system of equations, graph them, and type the solution.
The system of the equations are:
y = 10 + 4x
y = 25 + x
The height of tree is 30 inches tall.
The graph is given below.
The solution is (5, 30).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation
We have,
Maple tree:
The maple tree that is 10 inches tall is
growing 4 inches per month,
This can be written as,
y = 10 + 4x _____(1)
Where y is the height of the tree.
Oak tree:
The oak tree is 25 inches tall and is growing 1 inch per
month.
This can be written as,
y = 25 + x ______(2)
Where y is the height of the tree.
Now,
From (1) and (2),
In a few months, the two trees will be the same height.
So,
10 + 4x = 25 + x
4x - x = 25 - 10
3x = 15
x = 5
Now,
y = 10 + 4x = 10 + 4 x 5 = 10 + 20 = 30
y = 25 + x = 25 + 5 = 30
Thus,
The height of tree is 30 inches tall.
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Lillian makes 480 sandwiches 25% of them are tuna sandwiches 45% of them are ham sandwiches and the rest are egg sandwiches how many egg sandwiches does Lillian make?
Answer:
144 egg sandwiches
Step-by-step explanation:
[tex]25\% + 45\% = 70\%[/tex], and [tex]100\% - 70\% = 30\%.[/tex] Thus, [tex]30\%[/tex] of the [tex]480[/tex] sandwiches are egg sandwiches. Since "of" means multiply, we have [tex]30\% \cdot 480.[/tex] We know [tex]30\% = \frac{30}{100} = \frac{3}{10},[/tex] so we can rewrite it as [tex]\frac{3}{10} \cdot 480.[/tex] We cancel [tex]480[/tex] with [tex]10[/tex] which is [tex]480 \div 10 = 48.[/tex] We multiply [tex]48[/tex] by the numerator, [tex]3,[/tex] to get [tex]48 \cdot 3 = 144.[/tex] Thus, Lillian makes [tex]\boxed{144 \text{ egg sandwiches.}}[/tex]
Use the associative property to simplify the expression.
43 +30+70
OA. 43+30+70 = 73 +70 = 143
OB. 43+ (30+70) = 43+ 100 = 143
OC. 43+ 10(3 + 7) = 43 + 10(10) = 143
OD. 43 +70+ 30 = 113 +30 = 143
SUBMIT
Answer:jjj
Step-by-step explanation:because
An herbalist has 15 oz of herbs costing $3 per ounce. How many ounces of herbs costing $2 per ounce should be mixed with these 15 oz of herbs to produce a mixture costing $2.50 per ounce?
15 ounces of herbs should be mixed to produce a mixture of costing $2.50 per ounce.
What is meant by addition?
In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.
Given that, an herbalist has 15 ounces of herbs costing $3 per ounce.
Let the ounces of herbs costing $2 per ounce that should be added to the above herbs be 'x'
Cost of total mixture is 15*3 + x*2 = (x+15)*2.5
15*(3-2.5) = x*(2.5-2)
15*0.5 = x*0.5
x = 15
Therefore, 15 oz of herbs for $2 should be added.
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scooter fun and skoot zoom are elevtronic scooter rental companies. Scooter fun charges an $8 deposit plus $6 per hour rental free.
Find the nth term of this quadratic sequence
2, 8, 18, 32, 50, ...
The nth term of the given quadratic sequence is expressed as; aₙ = 2n²
How to find the nth term of a quadratic sequence?To find the nth term, we have to find the relation between the given terms.
Here we see that;
1st term = 2 = 2 × 1 × 1 = 2 × 1²
2nd term = 8 = 2 × 2 × 2 = 2 × 2²
3rd term = 18 = 2 × 3 × 3 = 2 × 3²
4th term = 32 = 2 × 4 × 4 = 2 × 4²
5th term = 2 × 5² = 2 × 50 = 100
Thus, we clearly see a pattern that can represent the nth term as;
aₙ = 2 × n²
aₙ = 2n²
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help pls, i dont get this
Answer:
Your already got it.
Step-by-step explanation:
I have no explanation for this.
