Answer:
I thinks is
\( \frac{1}{200} \)
what is proportion to 54/ 6
Answer:
The answer is 9.
Step-by-step explanation:
To find this out, all you needed to do was 54 divided by 6. = 9.
The Ten Finger calculator company periodically checks random calculators before shipping crates out to customers. On Wednesday, 12 calculators from each of 64 crates of 144 calculators were tested. Two of the tested calculators were found to be defective. Based on this rate of defect, how many total calculators are expected to be defective?
Based on this rate of defect, a total of 256 calculators to be defective in all 64 crates are expected to be defective
What is Proportion ?Mathematically, a proportion is calculated by dividing the number of individuals in a population who have the characteristic of interest by the total number of individuals in the population. For example, if we are interested in the proportion of people in a city who are left-handed, we would count the number of left-handed people in the city and divide it by the total population of the city.
Proportions are commonly used in statistics to describe the prevalence of certain characteristics or outcomes in a population, and they can be used to make comparisons between different populations or subgroups within a population. Proportions are typically expressed as fractions, decimals, or percentages, and they can range from 0 (indicating that none of the population has the characteristic of interest) to 1 (indicating that all of the population has the characteristic of interest).
According to given condition :We can start by finding the proportion of defective calculators in the sample of tested calculators. If 2 out of 12 tested calculators were found to be defective, then the proportion of defective calculators in the sample is:
2/12 = 1/6
This means that, on average, we would expect 1 out of every 6 calculators in the population to be defective.
To find the total number of expected defective calculators in all 64 crates, we need to multiply this proportion by the total number of calculators in the population:
(1/6) * (64 crates) * (144 calculators per crate) = 1536/6 = 256
Therefore, we can expect a total of 256 calculators to be defective in all 64 crates.
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Solve the equation 4+x/-9=6
Answer:
x = -18
Step-by-step explanation:
4+ x / -9 = 6
x / -9 = 6 - 4
x / -9 = 2
x = 2*-9
x = -18
found this deimos Google hope this helps -
x in (-oo:+oo)
x/4-9 = 6 // - 6
x/4-9-6 = 0
1/4*x-15 = 0 // + 15
1/4*x = 15 // : 1/4
x = 15/1/4
x = 60
Tara tosses two coins. What is the conditional probability that she tosses two heads, given she has tossed one head already?
The conditional probability that she tosses two heads, given she has tossed one head already is: 1/3
How to solve conditional probability?Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.
We are given that she has two coins.
She has tossed one head already
Let A be the event that two heads result and B the event that there is at least one head.
If S denote the sample space, then S={(H,H),(H,T)(T,H)(T,T)}
A={(H,H)}
B={(H,H),(H,T)(T,H)}
So, A∩B = {H,H}
P(B)= 3/4
P(A∩B)= 1/4
Hence P(A∣B) = P(A∩B)/P(B)
P(A∣B) = (1/4)/(3/4)
= 1/3
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Identify the population and sample in the following study:
1. A study was conducted on 418 teenagers diagnosed with ADHD to find a link between diet and ADHD
Determine if the numerical value is parameter or a statistic:
1. A survey of 500 high school juniors found 85% voted no to the new contract offer
2.All teachers that are in the CTA voted no to the new contact offer
3.A survey of 12,000 central flordians found that only 28% had more than $1000 in their savings account
Answer and explanation:
1. pop. 418, sample:link to diet
Determin.
1. statistic, because a specific percentage s given.
2. Parameter, because there is no number given
3. Statistic, because a specific percentage in a specific population has been given.
in a study of helicopter usage and patient​ survival, among the patients transported by​ helicopter, of them left the treatment center against medical​ advice, and the other did not leave against medical advice. if of the subjects transported by helicopter are randomly selected without​ replacement, what is the probability that none of them left the treatment center against medical​ advice?
Answer:
Step-by-step explanation:
To calculate the probability that none of the selected subjects left the treatment center against medical advice, we need to know the total number of subjects transported by helicopter and the number of subjects who left against medical advice.
Let's assume the total number of subjects transported by helicopter is 'N' and the number of subjects who left against medical advice is 'A'.
The probability that none of the selected subjects left against medical advice can be calculated using the hypergeometric probability formula:
P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)
Where:
C(n, r) represents the number of combinations of selecting 'r' items from a set of 'n' items.
In this case, since we want to calculate the probability of selecting none of the subjects who left against medical advice, we set X = 0.
Substituting the values, we have:
P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)
Simplifying further:
P(X = 0) = (C(0, 0) * C(N - A, n)) / C(N, n)
Since C(0, 0) = 1 (by convention), the formula becomes:
P(X = 0) = (1 * C(N - A, n)) / C(N, n)
Now, you need to provide the values of 'N', 'A', and 'n' in order to calculate the probability.
d) Differentiate each of the following function with respect to x and simplify where possible: i) y=ln(x
4
+3x
2
+6) ii) y=
2x−1
2x
2
−x+4
iii) y=4(x
2
−4x+6)
3
The derivatives of the given functions with respect to x are as follows:
i) For y = \(ln(x^4 + 3x^2 + 6)\), the derivative is dy/dx = \((4x^3 + 6x)/(x^4 + 3x^2 + 6)\).
This is obtained using the chain rule and the derivative of ln(u) = (1/u)(du/dx).
ii) For y =\(2x - 12x^2 - x +\)4, the derivative is dy/dx = 2 - 24x - 1. This is obtained by taking the derivative of each term separately, as the derivative of a constant is zero and the derivative of \(x^n is nx^(n-1)\).
iii) For y = \(4(x^2 - 4x + 6)^3\), the derivative is dy/dx = 1\(2(x^2 - 4x + 6)^2(2x - 4)\). This is obtained using the chain rule and the power rule, where the derivative of \((u^n) = n(u^{n-1})(du/dx)\).
In summary, the derivative of \(ln(x^4 + 3x^2 + 6)\) with respect to x is \((4x^3 + 6x)/(x^4 + 3x^2 + 6)\). The derivative of \(2x - 12x^2 - x + 4\) with respect to x is 2 - 24x - 1. The derivative of\(4(x^2 - 4x + 6)^3\) with respect to x is \(12(x^2 - 4x + 6)^2(2x - 4)\).
i) The derivative of \(ln(x^4 + 3x^2 + 6\)) is obtained by applying the chain rule. The derivative of ln(u) is (1/u)(du/dx), where \(u = x^4 + 3x^2 + 6\). By finding the derivative of u with respect to x and substituting it into the chain rule formula, we get\((4x^3 + 6x)/(x^4 + 3x^2 + 6)\).
ii) The derivative of \(2x - 12x^2 - x + 4\) is obtained by taking the derivative of each term separately. The derivative of 2x is 2, the derivative of \(-12x^2 is -24x\) (using the power rule), and the derivative of -x is -1. The derivative of a constant term is zero. Combining these derivatives, we get dy/dx = 2 - 24x - 1.
iii) The derivative of \(4(x^2 - 4x + 6)^3\) is obtained using the chain rule and the power rule. We first apply the power rule by multiplying the exponent (3) by the expression inside the parentheses, resulting in \((x^2 - 4x + 6)^2\). Then, using the chain rule, we multiply by the derivative of the expression inside the parentheses, which is 2x - 4. Combining these results, we get dy/dx = \(12(x^2 - 4x + 6)^2(2x - 4).\)
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If a laptop is $799.99 and is 13% off how much is the laptop after the discount
Answer:
695.9913
Step-by-step explanation:
13% off of 799.99 is 695.9913
suppose that you are rolling a six sided dice. let a = even what is p(ac)?
Answer:
1/2
Step-by-step explanation:
When you roll a 6-sided die, there are 6 possible outcomes:
1, 2, 3, 4, 5, 6
3 of the outcomes are even, and 3 of the outcomes are odd.
p(A) = p(even) = 3/6 = 1/2
p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2
ABCDEFGH is a cuboid. E Work out the size of angle HBG. Give your answer to 3 s.f. BH = 36 cm BG = 24 cm
The measure of angle HBG to 3 significant figures is 48.2°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The trigonometric functions are;
sinθ = opp/hyp
cosθ = adj/hyp
tanθ = opp/adj
In the cuboid, Triangle BHG is a right triangle
since BG = 24 cm = adj
BH = 36cm = opp
represent angle HBG by x
cos x = 24/36
cos x = 0.667
x = 48.2
Therefore the measure of angle HBG is 48.2°
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Li(2009) proposed modelling the length of time a pedestrian waits at a light controlled intersection with a continuous random variable, X. The model depends on both the duration of the 'redman' phase and how the pedestrian assesses the risk of crossing on a 'redman'. We wish to explore the behaviour of pedestrians at an intersection where the duration of the 'redman' phase of the traffic lights is 80 seconds. According to Li's model, under this scenario, X has pdf: f X
(x)={ 80
θ
(1− 80
x
) θ−1
0
for 0≤x<80
otherwise
θ>0 is used to quantified the pedestrian's assessment of the risk of crossing on a 'redman'. We will consider three different scenarios. a Find an expression for the cumulative distribution function, F X
(x).
we get the cumulative distribution function, Fx(x)=Fx(x)=80θ(θ−1)θ−1(1−(1−80x)θ) for 0≤x<80, otherwise.
Given, a model is proposed by Li(2009) for the length of time a pedestrian waits at a light-controlled intersection with a continuous random variable, X.
The pdf for X is given as, fX(x)={80θ(1−80x)θ−10for0≤x<80otherwiseθ>0.
Following is the expression for the cumulative distribution function (CDF), Fx(x):Fx(x)=∫0xfX(x)dx
Let’s solve this integral:Fx(x)=∫0xfX(x)dx=∫0x80θ(1−80x)θ−10dx=80θ∫0x(1−80x)θ−10dx
Let, u=1−80x
⇒ du/dx=−80dx
Substituting the value of u in the above integral:
Fx(x)=80θ∫1−80x0uθ−10(−du/−80)u(θ−1)/θ=80θ∫1−80x0u(θ−1)/θdu=80θ(θ−1)∫1−80x0u(θ−1)/θ−1(θ−1)du=80θ(θ−1)θ−1(uθ/θ)|1−80x0=80θ(θ−1)θ−1(1−(1−80x)θ)
Using this expression, In the absence of 0x80, we obtain the cumulative distribution function Fx(x)=Fx(x)=80(1)1(1(180x)).
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How many possible combinations are there for the values of l and ml when n = 5?.
5 (l) and 25 (ml)
HOPED I HELPEDDD
Homework: WEEK 3 ASSIGNMENT - CHAPTER 3 & 4
Question 9, P 4-4 (similar to)
HW Score: 25.76%, 2.83 of 11 points
Points: 0 of 1
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Part 1
You have a balance of
$5,000
on your credit card, which charges an interest rate of
1.5%
per month. Looking at yourbudget, you figure you can make the following payments. Will they be enough to pay off your credit card?
Month
1
2
3
4
5
6
7
8
Payment
$490
$550
$610
$670
$730
$790
$850
$910
Question content area bottom
Part 1
(Select from the drop-down menus.)
The present value of your payments is
▼
smaller than
larger than
equal to
the amount of the loan, so you
▼
will not
will
be able to pay off the loan.
The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.
The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.
Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.
In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.
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Referring to the figure, find the measure of arc MLK
Measure of arc MLK is 270°
Explanation:Angle MKL = 135 degrees
We are looking for the measure of the arc MLK
The diagram shows an angle formed by a chord (MK) and tangent
The relationship between angle formed by a chord and tangent:
\(Inscribed\text{ angle = }\frac{1}{2}\text{ m of arc MLK}\)Measure of arc MLK:
\(\begin{gathered} \text{Measure of arc MLK = 2(inscribed angle)} \\ \\ In\text{scribed angle = 135}\degree\text{ } \\ \text{Measure of arc MLK = 2(135)} \\ \text{Measure of arc MLK = }270\degree \end{gathered}\)
9511961
4. Analyze and Persevere What is the
measurement of the longest line segment
in a right rectangular prism that is
4.8 inches long, 1.4 inches wide, and
8 inches tall? Round to the nearest tenth of
an inch.
9.43 inches is the measure of the longest segment
How to solve for the longest segment
We are aware that the diagonal connecting the two opposing corners at the top and bottom will be the longest segment.
We know how to find the diagonal of a right triangular prism using the following formula:
d = \(\sqrt{w^2 + l^2+h^2} \\\\\)
where w = width = 1.4
l = length = 4.8
h = height = 8
We would put these values in the formula above
\(d = \sqrt{1.4^2 + 4.8^2+8^2} \\\\\)
d = \(\sqrt{1.96+23.04+64}\)
d = 9.43
The measure of the longest line segment is given as 9.43 inches
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Identify solutions to each inequality- pls someone help me
Answer:
a and b
Step-by-step explanation:
since the inequality says that all numbers less than 11 are the answer a and b are the choices that are below 11
find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 y2 = 9 and x2 y2 = 16.
To find the area of the surface between the cylinders x^2 y^2 = 9 and x^2 y^2 = 16 for the hyperbolic paraboloid z = y^2 − x^2, we can set up a double integral over the region of interest.
First, let's find the limits of integration for x and y. The equation x^2 y^2 = 9 represents a hyperbola, and x^2 y^2 = 16 represents another hyperbola. We can solve for y in terms of x for both equations:
For x^2 y^2 = 9:
y^2 = 9 / (x^2)
y = ±3 / x
For x^2 y^2 = 16:
y^2 = 16 / (x^2)
y = ±4 / x
Since the hyperbolic paraboloid is symmetric about the x and y axes, we only need to consider the positive values of y. Thus, the limits for y are from 3/x to 4/x.
To find the limits for x, we can equate the two equations:
3 / x = 4 / x
3 = 4
This is not possible, so the two curves do not intersect. Therefore, the limits for x can be determined by the region bounded by the hyperbolas. We solve for x in terms of y for both equations:
For x^2 y^2 = 9:
x^2 = 9 / (y^2)
x = ±3 / y
For x^2 y^2 = 16:
x^2 = 16 / (y^2)
x = ±4 / y
Again, considering only positive values, the limits for x are from 3/y to 4/y.
Now we can set up the double integral for the area:
A = ∬ R √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA
where R represents the region of integration and dA is the differential area element.
The integrand √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) simplifies to √(1 + 4y^2 + 4x^2).
Therefore, the area A can be expressed as:
A = ∫∫ R √(1 + 4y^2 + 4x^2) dA
To evaluate this double integral, we integrate with respect to y first, and then with respect to x, using the limits determined earlier:
A = ∫[3/y, 4/y] ∫[3/x, 4/x] √(1 + 4y^2 + 4x^2) dx dy
After integrating, the resulting expression will give us the area of the surface between the two cylinders.
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SOMEONE HELPPPPPPPP PLEASE?!!?!!!??!!?
Answer:
(10, 5)
Step-by-step explanation:
The circle is located at (10, 5)
Marcus is equally splitting 3 sticks of butter between 4 recipes, Write a
fraction that represents the amount of butter in each recipe,
Marchs will use of a stick of butter in each recipe,
Marcus has 3 sticks of butter which he plans to equally split between 4 recipes. The fraction that represents the amount of butter in each recipe is obtained as follows:Firstly, we find the total amount of butter. 3 sticks of butter mean 3/1 sticks of butter.3/1 sticks of butter is equal to 12/4 sticks of butter.
(by multiplying both the numerator and denominator by 4)Thus, there are 12/4 sticks of butter to split between the 4 recipes. To find the amount of butter in each recipe, we divide the total amount of butter by the number of recipes. Amount of butter in each recipe = Total amount of butter / Number of recipes= (12/4) / 4= 12/4 × 1/4= 3/4Therefore, Marcus will use 3/4 of a stick of butter in each recipe.We have used 99 words in answering this question.
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Billy earned $150 from a summer job to buy new clothes for school. He found several items he would like to buy, but is trying to decide if he has enough money to buy all the items he likes. He found two pairs of shorts for $20 each and four shorts with an average cost of $18 per shirt. He will have to pay 6.5% sales tax.If he buys all of the items, how much sales tax will he has to pay?
Answer:
Billy went from rich to broke.
Step-by-step explanation:
Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation. Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales. Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.
The cost incurred by Rachael's restaurant as fixed, variable or mixed are given below.
What is restaurant?
A restaurant is a location where you can consume food while paying for it. In restaurants, a waiter or waitress will typically bring your food to your table. Breakfast, lunch, and dinner are all offered at the restaurant. The restaurant's food was delectable, and the waitstaff was courteous.
Given:
Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation.
Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales.
Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.
The cost incurred by Rachael's restaurant as fixed, variable or mixed are,
a. Advertisement c cost relative to number of customers Fixed
b. Rental cost relative to number of restaurant Variable
c. Cooks salaries relative to number of customer Fixed
d. Cost of Supplies (cups, plates, spoons, etc.) relative
to number of customer Variable
e. Manager's compensation relative to number of customer Mixed
f. Servers' salaries relative to number of Restaurants Variable
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Complete question:
Complete question is attached below.
what is the range of the possible values of r2? 0 to 1 any positive numerical value -1 to 1 0 to 100
The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).
The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.
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Find the volume of the prism
The diameter of the sun is about is about 1 390 000 km;
use scientific
notation to represent this diameter.
Answer:
1.39×10^6
Step-by-step explanation:
Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use
Please I really need help
What is the value of x?
Enter your answer in the box.
Answer: 16
Step-by-step explanation:
What is 4^2x+5 × 4^3x = 4^2
The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\)
Simplify the equation, then we have
\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\\\\\rm 4^{(2x+5 + 3x)}= 4^2\)
The base on both sides is the same. Then compare the exponent, then the equation is written as,
2x + 5 + 3x = 2
5x = 2 - 5
5x = - 3
x = - 0.6
The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.
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How many solutions does 9x-18=3(3x-6) have?
Answer: All Real Numbers Are Solutions
we select an srs of n=712 from a population of 20-29 year-old men. the average weight was 183 pounds. the population standard deviation is 40. what is 90onfidence for the population mean?
a. (140.3, 145.4)
b. (179.0, 187.0)
c. (180.5, 185.5)
d. (180.1, 185.9)
e. (179.1,186.9)
The population mean is (180.535, 185.465). Option (c) (180.5, 185.5) is the closest match to the calculated confidence interval.
The 90% confidence interval for the population mean can be calculated using the formula: Confidence Interval = sample mean ± (critical value) * (standard deviation / √n)
First, we need to determine the critical value corresponding to a 90% confidence level. Since the sample size is large (n > 30), we can use the Z-distribution.
Looking up the critical value for a 90% confidence level in the Z-table, we find it to be approximately 1.645.
Next, we can plug in the values into the formula: Confidence Interval = 183 ± (1.645) * (40 / √712)
Calculating the expression inside the parentheses: Confidence Interval = 183 ± (1.645) * (40 / 26.703)
Simplifying:
Confidence Interval ≈ 183 ± 1.645 * 1.499
Confidence Interval ≈ 183 ± 2.465
Therefore, the 90% confidence interval for the population mean is (180.535, 185.465). Option (c) (180.5, 185.5) is the closest match to the calculated confidence interval.
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The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
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Tshirt costs 69.9$ 15% off 6.25 tax deduct how much t shirt cost step by step explanation