Answer:
x = 52.2
Step-by-step explanation:
Add 4x - 4y^2 = 36 and x + 2y^2 = 225
x + 2y^2 + 4x - 4y^2 = 225 + 36
5x = 261
x = 261/5=52.2
Imagine
X
in the below is a missing value. If I were to run a median imputer on this set of data what would the returned value be?
50,60,70,80,100,60,5000,x
(It's okay to have to look up how to do this!) An. error 80 100 70 The features in a model.... None of these answers are correct Are always functions of each other Kecp the model validation process stable Are used as proxics for y-hatfy (that is yhat divided by y) Which of the below were discussed as being problems with the hold out method for validation? Outliers can skew the result Validation is sometimes too challenging
K=3
is not sufficiently large cnough Data is not available for test and control differences. The modefis not trained on all of the day
The returned value would be 70 which is the missing value in the data set. Hence, option D is correct. We have some X values; we called these numeric inputs and some Y value that we are trying to predict.
This set of data would yield a result of 70 if a median imputer were run on it. In regression, we have some X values that are referred to as independent variables and some Y values that are referred to as dependent variables (this is the variable we are trying to predict). Several Y values are possible, but they are uncommon.
Learning a function that can predict Y given X is the fundamental concept behind a regression. Depending on the data, the function may be linear or non-linear.
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Complete question is:
Imagine X in the below is a missing value. If I were to run a median imputer on this set of data. What would the returned value be? 50 , 60 , 70 , 80 , 100 , 60 , 5000 , x (It's okay to have to look up how to do this!)
50
An error
80
70
100
The basic idea of a regression is very simple. We have some X values, we called these ______ and some Y value (this is the variable we are trying to _______.
We could have multiple Y values, but that is not but that is not re-ordered ordinals intercepts features numeric inputs.
Use the diagram shown. Lines p and q are parallel.
How many degrees is the measure of ∠4?
Answer:
61°
Step-by-step explanation:
∠4 is the vertical angle to the 61° angle. This means they will have the same measure, so ∠4 is 61°.
A sample of n observations is taken from a normal population. The appropriate chi-square distribution has
a. n degrees of freedom.
b. n - 1 degrees of freedom.
c. n - 2 degrees of freedom.
d. n - 3 degrees of freedom.
The variance of a sample is equal to n - 1 degrees of freedom, the appropriate chi-square distribution for a sample of n observations taken from a normal population is n - 1 degrees of freedom.
The appropriate chi-square distribution for a sample of n observations taken from a normal population is n - 1 degrees of freedom. This is because the chi-square distribution measures the variance of a population, which is the squared sum of the differences between the observed values and the expected values. Since the expected value for a sample of n observations is equal to the mean of the population, the variance of the sample is equal to the sum of the squared differences between the observed values and the mean of the population. This gives us the formula for the chi-square distribution:
Chi Square = [tex](Sum of (Observed - Mean)^2) / (Mean)[/tex]
For a sample of n observations, the mean is equal to the sum of the observations divided by n, so we can rewrite the formula as follows:
Chi Square = [tex](Sum of (Observed - (Sum of Observations/n))^2) / (Sum of Observations/n)[/tex]
Since the sum of the observations is a constant, we can move it to the other side of the equation, giving us:
We can simplify this equation further by noting that the sum of the [tex](Observed - (Sum of Observations/n))^2[/tex] terms is equal to the variance of the sample. This gives us the final equation:
Chi Square = Variance / (Sum of Observations/n)
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in the right triangle what is the value of X? 30 24 X
Answer:
x = 21
Step-by-step explanation:
Given the angle measurements of two angles, we can deduce that this is a 30-60-90 triangle. The formula for side lengths of this type of triangle is given by s → s√3 → 2s with s being the shortest side (the side opposite the 30° angle).
We are looking for the side length represented by s[tex]\sqrt{3}[/tex]. We can see that the hypotenuse is represented by 2s, so...
2s = 24
s = 12
The side length of the shortest side is 12. Therefore, we can say that
x = s [tex]\sqrt{3}[/tex]
x = 12 * [tex]\sqrt{3}[/tex]
x = 20.785
The question asks for our answer to the nearest whole number, so
x = 21
I will mark you brainiest!
What is the length of AC in the given triangle?
A) 126.6
B) 99.6
C) 66.9
D) 57.1
Answer:
We can use the Law of Cosines to find the length of side AC:
cos(A) = (b² + c² - a²) / 2bc
cos(A) = (85² + 530² - 850²) / (2 × 85 × 530)
cos(A) = -0.3589 (using a calculator)
Since the cosine of an angle is negative in the second quadrant, we have:
A = 180° - cos⁻¹(-0.3589)
A = 114.49°
Now we can use the Law of Cosines again to find the length of AC:
a² = b² + c² - 2bc cos(A)
AC² = 85² + 530² - 2 × 85 × 530 cos(114.49°)
AC ≈ 99.6
Therefore, the length of AC is approximately 99.6. Answer: (B)
19. Hockey Game Two families go to a hockey game. One family purchases two adult tickets and four youth tickets for $28. Another family purchases four adult tickets and five youth tickets for $45.50. Let x represent the cost in dollars of one adult ticket and let y represent the cost in dollars of one youth ticket. a. Write a linear system that represents this situation. b. Solve the linear system to find the cost of one adult and one youth ticket. c. How much would it cost two adults and five youths to attend the game?
8. The circle graph shows the favorite game
type of students in Ms. Hunter's class.
3.FR.1.1
Sport
Favorite Game Type
B
Computer
What fraction of the students chose card?
A
1
2
1
12
6
Board
2
10
Card
The fractiοn οf students whο chοse card as their favοrite game type is: 1/6. Thus, option D is correct.
What is a circle?A circle is a clοsed twο-dimensiοnal shape that is defined as the set οf all pοints in a plane that are equidistant frοm a single fixed pοint called the center οf the circle. The distance frοm the center οf the circle tο any pοint οn the circle is called the radius οf the circle.
A circle can alsο be defined as the lοcus οf a pοint that mοves in a plane such that its distance frοm a fixed pοint (the center) remains cοnstant.
A circle is a very impοrtant and cοmmοn geοmetric shape that has many practical applicatiοns in mathematics, physics, engineering, and οther fields.
Tο determine the fractiοn οf students whο chοse card as their favοrite game type, we need tο find the pοrtiοn οf the circle graph that represents the card categοry.
Frοm the graph, we can see that the card categοry cοvers 16.66% οf the entire circle graph.
i.e.
16.66/100 = 1/6
Therefore, the fraction of students who chose card as their favorite game type is:
1/6
So, the answer is option D: 1/6.
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Complete question:
The circle graph shows the favourite game type of students in Ms. Hunter's class.
What fraction of the students chose card?
a. 2/3
b. 5/9
c. 3/10
d. 1/6
I NEED THE ANSWER ASAP
PLEASSEEEE
IM BEGGING
Penelope and Artemis worked a total of 70 hours this week. Penelope worked 2 hours less than twice what Artemis worked.
1) Let P= hours Penelope worked and A= hours Artemis worked. Write a system of equations for this scenario.
2) Determine how many hours Penelope and Artemis worked.
Answer:
P + A = 70
2P = A + 2
1) P + A = 70
2P = A + 2
2) Solve the system of equations:
Subtract P from both sides of the first equation:
A = 70 - P
Substitute A for 70 - P in the second equation:
2P = (70 - P) + 2
Simplify:
2P = 72 - P
Add P to both sides of the equation:
3P = 72
Divide both sides of the equation by 3:
P = 24
Substitute P for 24 in the first equation:
A = 70 - 24
A = 46
Penelope worked 24 hours and Artemis worked 46 hours.
Write a quadratic function f whose zeros is 7
The quadratic function, x2 + 14x + 49 f, would have 7 as the lone zero.
What are function?Any subset of a Cartesian product is a relation.
For instance, a subset of is known as a "binary relation from A to B," and in specifically, a subset of is known as a "relation on A."
These ordered pairs (a,b) with first components from A and second components from B make up a binary relation from A to B.
A function is a relation that links every item in a set X to a single item in a different set Y. (possibly the same set).
A graph, which is the collection of all ordered pairs (x, f (x)), serves as the sole representation of a function.
As you can see from these definitions, every function is a relation from X to Y, but not vice versa .
(x - 7)(x - 7)
⇒ (x - 7)²
⇒ x² + 7²+ 2 × 7 × x
⇒ x² + 49 + 14x
⇒ x² + 14x + 49
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If you make monthly payments of $1,000 for 10th years, determine the total payment over lifetime of loan
Answer:
hello!!!!
Payment per year
1,000×12months=12,000
total payment over the lifetime of the loan.
12,000×10years=120,000
Answer:
$120,000
Step-by-step explanation:
If you make monthly payments of $1,000 for 10 years, the total payment over the lifetime of the loan would be $1,000 x 12 months x 10 years = $120,000
you know that a pair of triangles has two pairs of congruent angles. what other information do you need to show that the triangles are congruent?
you need to know that _____ are congruent.
Answer:
You need to know that the ratio of their sides are congruent
How do you use the discriminant only to determine the number and type of solutions for the following quadratic equation?
To use the discriminant to determine the number and type of solutions for a quadratic equation, we simply need to calculate b² - 4ac and examine the value.
The discriminant of a quadratic equation is a value that can be used to determine the nature and number of solutions for the equation. The discriminant is found by calculating b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
If the discriminant is positive, then the equation has two real solutions. If the discriminant is zero, then the equation has one real solution (a double root). If the discriminant is negative, then the equation has no real solutions but two complex solutions.
If it is positive, there are two real solutions; if it is zero, there is one real solution; if it is negative, there are no real solutions.
For example, consider the quadratic equation 2x² + 4x + 3 = 0. The coefficients are a = 2, b = 4, and c = 3. The discriminant is b² - 4ac = 4² - 4(2)(3) = 16 - 24 = -8. Since the discriminant is negative, the equation has no real solutions but two complex solutions.
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Why is the following not a probability? model?
LOADING...
Click the icon to view the data table.
Determine why it is not a probability model. Choose the correct answer below.
A.
This is not a probability model because at least one probability is greater than 0.
B.
This is not a probability model because at least one probability is greater than 1.
C.
This is not a probability model because the sum of the probabilities is not 1.
D.
This is not a probability model because at least one probability is less than 0
The correct answer is C. This is not a probability model because the sum of the probabilities is not 1.Therefore, the sum of the probabilities must be equal to 1 for a set of probabilities to be considered a probability model.
What is probability?Probability is a measure of the probability of an event, expressed as a number between 0 and 1.
For example, the probability of rolling a 6 on a fair six-sided die is 1/6 or approximately 0.17.
In order for a set of probabilities to represent a probability model, the sum of all the probabilities must be equal to 1. This ensures that there is a 100% chance that one of the possible outcomes will occur.
If the sum of the probabilities is less than 1, then there is a possibility that none of the outcomes will occur.
If the sum of the probabilities is greater than 1, then there is a possibility that more than one outcome will occur, which is not possible in a probability model.
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Rae's unpaid credit card balance was $1,603. Her APR is 28.6%. What is her new
balance after she makes one new transaction for $51? Round answer to the
hundredths place. If answer doesn't have a hundredths place then include a zero so
that it does. Use a word not a symbol for the units.
$2010.458 is her new balance after she makes one new transaction for $51.
What does a credit balance mean?
The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.
When you return something you purchased with your credit card, you can receive an additional credit.
Credit balance = $1,603
APR = 28.6%
= 28.6% * $1,603
= 458.458
Credit balance = $1,603 + 458.458
= $2061.458
net balance = $2061.458 - 51
= $2010.458
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a. show that the properties of a probability distribution for a discrete random variable are satisfied.
To show that the properties of a probability distribution for a discrete random variable are satisfied, we need to verify that the probability distribution function (PDF) satisfies, The PDF must be non-negative for all values of the random variable and The sum of the probabilities for all possible values of the random variable must be equal to 1.
Let X be a discrete random variable taking values x1, x2, ..., xn, and let P(X) be the probability distribution function for X, such that P(X = xi) = pi for all i.
The PDF must be non-negative for all values of the random variable. This means that for any value xi of the random variable, the probability pi must be greater than or equal to zero. That is,
pi ≥ 0 for all i.
This property ensures that probabilities are never negative, which is a necessary condition for a valid probability distribution.
The sum of the probabilities for all possible values of the random variable must be equal to 1. That is,
∑ pi = 1 for all i.
This property ensures that the total probability of all possible outcomes is equal to 1, which is a necessary condition for a valid probability distribution.
Therefore, if the PDF satisfies these two properties, we can conclude that it represents a valid probability distribution for the given discrete random variable.
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Describe the graph of y > mx, where m > 0.
Sample Response: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
What did you include in your response? Check all that apply.
dashed line
half plane
positive slope
origin
shading above the line
The statements below describe the graph of y > mx, where m > 0
How to describe the graph?The inequality is given as:
y > mx
Where m > 0
The inequality symbol implies that:
The graph uses a dashed lineHalf of the region is shadedThe upper part is shadedThe condition m > 0 implies that:
The graph has a positive slopeThe graph passes through the origin (0,0)Next, we assume that:
m = 5
So, we have:
y > 5x
See attachment for the graph of y > 5x
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srs of 25 seniors 17 respond "yes" confidence interval for true proportion of seniors which of the following conditions were not met?
The 95% confidence interval for the proportion in the adult population who would say “Yes” of asked is 0.51 and 0.57.
To find the 95% confidence interval for the proportion in the adult population who would say "Yes," we can use the following formula
CI = p ± z × sqrt((p × (1 - p)) / n)
where
p = proportion of the sample who answered "Yes"
z = the z-score corresponding to the desired level of confidence (in this case, 95% corresponds to a z-score of 1.96)
n = sample size
Plugging in the values given in the question, we get
p = 0.54
z = 1.96
n = 1019
CI = 0.54 ± 1.96 × sqrt((0.54 × (1 - 0.54)) / 1019)
CI = 0.54 ± 0.030
CI = (0.51, 0.57)
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I have solved the question in general, as the given question is incomplete,
The complete question is:
Overall, 54% of the sample (550 of 1019 people) answered “Yes.” Find a 95% confidence interval for the proportion in the adult population who would say “Yes” if asked.?
4.34. Find the moment-generating function of the dis- crete random variable X that has the probability distri- bution f(x) = 2 for x = 1,2,3,... 3 and use it to determine the values of m' and j'a.bol A
If the probability distribution is f(x) = 2(1/3)ˣ for x = 1,2,3,... then the moment generating function is Mₓ(t) = [tex]\frac{2e^{t} }{3-e^{t} }[/tex].
The moment generating function (MGF) of a random variable is defined as a mathematical function that is used to determine expected values of the random variable.
It is a way to characterize the entire probability distribution of the random variable by generating a sequence of moments from the function.
The probability distribution is f(x) = 2(1/3)ˣ for x = 1,2,3,... ;
The MGF will be ⇒ Mₓ(t) = [tex]\[ \sum_{x=1}^{\infty} e^{tx} .2(\frac{1}{3})^{x}[/tex]
⇒ [tex]2 \[ \sum_{x=1}^{\infty}(\frac{e^{t} }{3} )^{x}[/tex] ;
This expression [tex]\[ \sum_{x=1}^{\infty}(\frac{e^{t} }{3} )^{x}[/tex] represents an infinite geometric series.
So, [tex]\[ \sum_{x=1}^{\infty}(\frac{e^{t} }{3} )^{x}[/tex] = [tex]\frac{e^{t}/3 }{1-e^{t}/3 }[/tex] = [tex]\frac{e^{t} }{3-e^{t} }[/tex]
We get, Mₓ(t) = [tex]\frac{2e^{t} }{3-e^{t} }[/tex].
Therefore, the Moment generating Function for the given Probability Distribution is Mₓ(t) = [tex]\frac{2e^{t} }{3-e^{t} }[/tex].
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The given question is incomplete, the complete question is
Find the moment-generating function of the discrete random variable X that has the probability distribution f(x) = 2(1/3)ˣ for x = 1,2,3,....
16.5% of an amount is 891. What is the original amount?
Answer:
Jika 16,5% dari suatu jumlah adalah 891, kita dapat menggunakan persamaan:
0,165x = 891
di mana x adalah jumlah aslinya. Kita ingin menyelesaikan persamaan ini untuk x.
Kita dapat memulai dengan membagi kedua sisi dengan 0,165:
x = 891 / 0,165
x = 5400
Jadi, jumlah aslinya adalah 5400.
Konsultasi Tugas Lainnya: WA 0813-7200-6413
A and B are mutually exclusive.
P(A) = 0.2, P(B) = 0.5. Find P((A ∪ B)′).
the probability of the complement of (A ∪ B) is 0.3.
How to find and what is Morgan's law?
Since A and B are mutually exclusive, we have:
P(A ∩ B) = 0
The complement of (A ∪ B) is the set of outcomes that are not in A or B. So:
(A ∪ B)′ = A′ ∩ B′
Using De Morgan's law, we have:
A′ ∩ B′ = (A ∪ B)′
We can now use the formula for the probability of the complement:
P((A ∪ B)′) = 1 - P(A ∪ B)
Since A and B are mutually exclusive, we have:
P(A ∪ B) = P(A) + P(B)
So:
P((A ∪ B)′) = 1 - (P(A) + P(B))
Substituting the given probabilities, we get:
P((A ∪ B)′) = 1 - (0.2 + 0.5)
P((A ∪ B)′) = 1 - 0.7
P((A ∪ B)′) = 0.3
Therefore, the probability of the complement of (A ∪ B) is 0.3.
De Morgan's laws are a pair of fundamental laws in Boolean algebra and set theory that describe the relationship between the intersection and union of sets and their complements. The two laws are:
The complement of the union of two sets is equal to the intersection of their complements.
Symbolically: (A ∪ B)′ = A′ ∩ B′
The complement of the intersection of two sets is equal to the union of their complements.
Symbolically: (A ∩ B)′ = A′ ∪ B′
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Please help me answer this question ASAP!!
Will mark as brainliest if correct and 50+ points!
Answer:
See explanation below
Step-by-step explanation:
1. 12x - 18 = 6(2x -3)
2. 15x + 25 = 5(3x + 5)
3. 14x + 21 = 7(2x + 3)
4. 5x - 5 = 5(x - 1)
5. 12x - 30 = 6(2x - 5)
6. 10x + 8 = 2(5x + 4)
7. 27x + 18 = 9(3x + 2)
8. 4x - 20 = 4(x - 5)
9. 20x + 30 = 10(2x + 3)
10. 4(x + 5) = 4x + 20
11. 3(x - 2) = 3x - 6
12. 5(2x + 4) = 10x + 20
13. 5(x - 1) = 5x - 5
14. 1/2(10x + 12) = 5x + 6
15. 4(2x + 4) = 8x + 16
16. 2(5x - 2) = 10x - 4
17. 2(x - 8) = 2x - 16
18. 4(2x + 1) = 8x + 4
You have one type of chocolate that sells for $3.40/lb and another type of chocolate that sells for $9.00/lb. You would like to have 44.8 lbs of a chocolate mixture that sells for $5.00/lb. How much of each chocolate will you need to obtain the desired mixture?
Using a system of equations, 32 lbs of the $3.40/lb chocolate and 12.8 lbs of the $9.00/lb chocolate will be needed to obtain the desired mixture.
How to Apply System of Equations?Let x be the amount of the $3.40/lb chocolate needed, and y be the amount of the $9.00/lb chocolate needed to make 44.8 lbs of a $5.00/lb mixture.
We can set up the following system of equations:
x + y = 44.8 (total amount of mixture)
3.4x + 9y = 5(44.8) (total cost of mixture)
Solving this system of equations, we get:
x = 32 lbs of the $3.40/lb chocolate
y = 12.8 lbs of the $9.00/lb chocolate
Therefore, to obtain the desired mixture, 32 lbs of the $3.40/lb chocolate and 12.8 lbs of the $9.00/lb chocolate will be needed.
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Mr yaro left sunyani at 8:30 am. He arrived in Accraat 4.58pm . How long did the journey takes?
Answer:
4 hours and 28 minutes
6TH GRADE MATH PLS HELPPPP! TYSM
Answer:
slope is 1 1/4
Step-by-step explanation:
5/4 = 1 1/4 simplified
find the following answer
The cardinality of set from the given vein diagram is found as 2.
Explain about the cardinality of set?Think about set A. The set A is said to be finite and so its cardinality is same to the amount of elements n if it includes precisely n items, where n ≥ 0. |A| stands for the cardinality of such a set A.
It turns out that there are two kinds of infinite sets that we need to determine between since one form is much "bigger" than the other. Particularly, one type is referred to as countable and the other as uncountable.
From the given figure
Set A = {8 , 8, 3, 6}
Compliment of Set B (elements not present in set B):
Set [tex]B^{c}[/tex] = {8, 8, 6(pink), 3(white)}
Thus,
(A∩ [tex]B^{c}[/tex] ) = {8, 8} (present in both set)
n (A∩ [tex]B^{c}[/tex] ) = 2 (cardinal number)
Thus, the cardinality of the set from the given vein diagram is found as 2.
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the value of the given test statistic lies between the given cutoffs -2.58 and 2.58. it falls in acceptance region.
Here the values -0.94 and 2.12 falls between the points -2.58 and 2.58. The area between is the acceptance region. So we cannot reject the null hypothesis.
The given is an example for two tailed test. A two tailed test is used to determine whether the value is greater than or less than the mean value of the population. It represents the area under both tails or sides on a normal distribution curve.
Here the value of the test statistic lies between -2.58 and 2.58. So the values less than -2.58 and greater than 2.58 fall in the rejection region, where the null hypothesis can be rejected.
a) -0.94 falls between -2.58 and 2.58. So it is in the acceptance region. So null hypothesis is accepted.
b) 2.12 lies between -2.58 and 2.58. It is also in acceptance region. So null hypothesis is accepted.
So in both cases null hypothesis cannot be rejected.
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The complete question is :
f the cutoffs for a z test are -2.58 and 2.58, determine whether you would reject or fail to reject the null hypothesis in each of the following cases and explain why:
a. z = −0.94
b. z = 2.12
Due today!! Pls helppp
if we that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:
100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.
What do you mean by spending?If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.
So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:
On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.
However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.
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In the isosceles trapezoid, what is the length of LA?
A) 15
B) 17
C) 16
Answer:
A) 15 idek
Step-by-step explanation:
Brianna Wallen lives in Denver, Colorado, where the rate of assessment is 29% of market value. The tax rate is 81.16 mills. The county tax assessor determined that the market value of her home is $438,300. What is the real estate tax on her home?
Step 1 Find the assessed value. Step 2 Express the tax rate as a decimal. Step 3 Find the real estate tax
The real estate tax on Brianna Wallen's home is $37,934.83.
What is property tax?Property owners, including homeowners, are subject to a tax based on the assessed value of their properties. It is often collected by local governments and used to pay for amenities like public transportation, roads, and security.
The assessed value of the property and the tax rate are used to determine the amount of property tax due. The assessed value of a property is its worth as established by a government assessor and may be based on a number of variables, including recent sales prices of nearby properties, the price to replace the property, and the property's condition.
The tax is calculated using the given formula:
Tax = (Assessment Rate x Market Value) x (Tax Rate / 1000)
Substituting the given values we have:
Tax = (0.29 x $438,300) x (81.16 / 1000)
Tax = $37,934.83
Hence, the real estate tax on Brianna Wallen's home is $37,934.83.
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Jamie is going to run for
1
2
2
1
start fraction, 1, divided by, 2, end fraction of an hour at a constant rate, and they want to plan what that rate will be.
1. Write an equation that represents the distance Jamie will run in kilometers (
�
dd) at a rate of
�
rr kilometers per hour.
The distance Jamie will run is equal to half of the rate in kilometers per hour, the equation is d = r (1/2)
What is speed and velocity?Speed is a scalar number that represents the rate of movement of an item. It is described as the distance covered in a certain amount of time, regardless of direction. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is characterised as the pace at which an item shifts in a certain direction. In physics, the idea of velocity is crucial since it aids in explaining how an object's location varies over time and is used to compute other crucial variables like acceleration and momentum.
The distance is calculated using the given formula:
Distance = rate (time)
Given that, the time is 1/2 hour thus:
d = r (1/2)
Thus, the distance Jamie will run is equal to half of the rate in kilometers per hour, and the equation is d = r (1/2).
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