Answer: 0=1
Step-by-step explanation: This is a false because we know zero can’t equal one. Therefore, we can conclude that the problem has no solution.
What is the result when x^3+2x^2– 11x + 8 is divided by x - 1?
Answer:
result is x^2+3x-8 sorry for the photo quality
Data _____ involves creating new ways of modeling and understanding the unknown by using raw data
The complete statement is data analysis involves creating new ways of modeling and understanding the unknown by using raw data.
What is data analysis?Data analysis can be defined as the process of cleaning, changing, and processing raw data, to relevant information that helps in the decision making of a business.
The procedure of data analysis helps in reducing the risks involved in decision-making by providing useful insights and statistics,.
Analyzed data are often presented in charts, images, tables, and graphs.
Some types of data analysis are;
Diagnostic AnalysisPredictive AnalysisPrescriptive AnalysisStatistical AnalysisThus, the complete statement is data analysis involves creating new ways of modeling and understanding the unknown by using raw data.
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To determine the probability that a certain component lasts for more than 350 hours of operation, a random sample of 37 components was put to the test. Of these, 24 lasted longer than 350 hours.
a) Do a 95% Confidence Interval for the probability p that a randomly selected component lasts more than 350 hours.
b) A system consists of two such components connected in series. Thus, the system operates if and only if both components operate properly. Do a 95% confidence interval for the probability that the system lasts more than 350 hours. You can assume that the life times of the two components in the system are independent. Express in terms of p.
a) The 95% confidence interval for the probability (p) that a randomly selected component lasts more than 350 hours is estimated to be between 0.4947 and 0.8753. b) The 95% confidence interval for the probability (p) that a system consisting of two components connected in series lasts more than 350 hours is estimated to be between p² and 2p - p²
a) To calculate the confidence interval, we can use the formula for the confidence interval of a proportion. The point estimate for p is the proportion of components in the sample that lasted longer than 350 hours, which is 24/37 = 0.6486. We can calculate the standard error (SE) using the formula:
SE = \(\sqrt{\frac{p\times(1-p)}{n}\)
where p is the point estimate and n is the sample size. Plugging in the values, we get:
SE = sqrt[(0.6486*(1-0.6486))/37] ≈ 0.0841
Next, we can use the standard normal distribution (Z-distribution) for a 95% confidence interval, which corresponds to a Z-score of 1.96 (for a two-tailed test). We can then multiply the SE by the Z-score to get the margin of error (ME):
ME = Z * SE = 1.96 * 0.0841 ≈ 0.1648
Finally, we can construct the confidence interval by adding and subtracting the margin of error from the point estimate:
95% Confidence Interval = p ± ME = 0.6486 \(\pm\) 0.1648
So the confidence interval for p is approximately (0.4947, 0.8753), which means we are 95% confident that the true probability of a component lasting more than 350 hours is between 0.4947 and 0.8753.
b) Since the two components in the system are connected in series, the system will operate only if both components operate properly. Therefore, the probability that the system lasts more than 350 hours is the probability that both components operate properly, which is the product of their individual probabilities. Let p1 and p2 be the probabilities of the first and second components lasting more than 350 hours, respectively.
Based on the assumption that the life times of the two components are independent, the probability that both components operate properly is given by p1 * p2. Since p1 and p2 are assumed to be equal to p (the probability of a single component lasting more than 350 hours), we can write the probability of the system lasting more than 350 hours as p * p = p².
To calculate the lower bound of the confidence interval, we can simply square the lower bound of the confidence interval for p (i.e., p²). To calculate the upper bound of the confidence interval, we can subtract the lower bound of the confidence interval for p from 2p (i.e., 2p - p²).
So the 95% confidence interval for the probability that the system lasts more than 350 hours is estimated to be between p² and 2p - p², where p is the probability of a single component lasting more than 350 hours.
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Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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question in photo—————————-
Answer:
there is two solutions to that problem. you can find x is equal to two numbers.
Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S10
Answer:
320
Step-by-step explanation:
The given series is an illustration of an arithmetic series, where the sum of first 10 terms of the series is -160.
Given
\(2 + (-2) + (-6) + (-10) +.......\)
First, we calculate the common difference of the series
\(d = T_2 - T_1\)
\(d = -2 -2\)
\(d = -4\)
The sum of the first nth term of an arithmetic series is:
\(S_n = \frac n2(2a + (n - 1)d)\)
Where:
\(n = 10\) ---- i.e. sum of 10 terms
\(a = 2\) --- the first term
\(d = -4\) --- the common difference
So, we have:
\(S_{10} = \frac{10}{2}(2 \times 2 + (10 - 1) \times -4)\)
\(S_{10} = 5(4 + 9 \times -4)\)
\(S_{10} = 5(-32)\)
\(S_{10} = -160\)
Hence, the sum of 10 terms of the series is -160.
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Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.
Part A
To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.
Part B
In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.
Ramundo will get a better deal at Roller worlds.
This is a question of percentages.
Given that:-
Regular price of rollerblades at roller world = $ 94
Discount at rollerworld = 15 %
Price of rollerblades at Outdoor adventures = $ 81.50
Sales tax = 6 %
Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9
Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694
Price of rollerblades at outdoor adventures = $81.50
Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39
As,
$ 84.694 < $ 87.39
Ramundo will get a better deal at Roller worlds.
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what is the slope of the line with the following equation? (y-3)= -4(x-5)
Answer:
slope = - 4
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 4(x - 5) ← is in point- slope form
with slope m = - 4
Answer:
-4
Step-by-step explanation:
First express it in the form of y=mx+b where m is the slope and b is the y-intercept
y-3=-4x+20
y=-4x+20+3
y=-4x+23 then m=-4 which is the slope
4x - 8 = 16
help! lel
Answer:
X=6 the answer is 6. The answer is 6
Step-by-step explanation:
6666666666666666
Answer:
Furic
Step-by-step explanation:
A clothing store specializes in blue jeans. They run a regression and get the following results: Coefficients Intercept 200.0 Price -4.5 PriceKhakis 2.2 Advertising 6.5 Weekend 10.0 price is $40, price khakis (a substitute) are $50, advertising is $2, and Weekend is a dummy variable. If it IS the weekend, find price elasticity of the blue jeans. You MUST properly round out 2 decimals exactly and include a negative sign if needed.
Using the elasticity you found before, determine what will happen to the quantity demanded of blue jeans if they drop the price by 5%?
a. The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.
b. The quantity demanded of blue jeans will increase by approximately 10.7%.
a. The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.
Given:
Price = $40
Price of khakis = $50
Advertising = $2
Weekend (dummy variable) = 1 (indicating it is the weekend)
To calculate the price elasticity of blue jeans on the weekend, we need to use the coefficient for the "Price" variable from the regression results.
Price elasticity of demand = (Coefficient for Price * Price) / Quantity demanded
Coefficient for Price = -4.5 (from regression results)
Price = $40 (given)
Quantity demanded can be calculated using the regression equation:
Quantity demanded = Intercept + (Coefficient for Price * Price) + (Coefficient for Price Khakis * Price of khakis) + (Coefficient for Advertising * Advertising) + (Coefficient for Weekend * Weekend)
Intercept = 200 (from regression results)
Coefficient for Price Khakis = 2.2 (from regression results)
Coefficient for Advertising = 6.5 (from regression results)
Coefficient for Weekend = 10.0 (from regression results)
Quantity demanded = 200 + (-4.5 * 40) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)
Quantity demanded = 200 - 180 + 110 + 13 + 10
Quantity demanded = 153
Now we can calculate the price elasticity of demand:
Percentage change in quantity demanded = (Quantity demanded - Quantity demanded with a 5% price decrease) / Quantity demanded
Percentage change in quantity demanded = (153 - Quantity demanded with a 5% price decrease) / 153
Percentage change in price = 5% (given)
Price elasticity of demand = (Percentage change in quantity demanded / Percentage change in price) * (Price / Quantity demanded)
Price elasticity of demand = ((153 - Quantity demanded with a 5% price decrease) / 153) / 0.05 * (40 / 153)
To find the quantity demanded with a 5% price decrease, we calculate:
New price = $40 - (5% of $40) = $40 - ($2) = $38
New quantity demanded = 200 + (-4.5 * 38) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)
New quantity demanded = 200 - 171 + 110 + 13 + 10
New quantity demanded = 162
Substituting the values into the formula:
Price elasticity of demand = ((153 - 162) / 153) / 0.05 * (40 / 153)
Price elasticity of demand = (-0.059 / 0.05) * (40 / 153)
Price elasticity of demand ≈ -2.14
The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.
b. We already calculated the price elasticity of demand (-2.14). Now, we can use this elasticity to determine the percentage change in quantity demanded when the price is reduced by 5%.
Percentage change in price = -5% (given)
Percentage change in quantity demanded = Price elasticity of demand * Percentage change in price
Percentage change in quantity demanded = -2.14 * (-5%)
Percentage change in quantity demanded = 10.7%
Therefore, if the price of blue jeans is reduced by 5%, the quantity demanded will increase by approximately 10.7%.
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The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1, 9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x, y) → (x + 1, y - 6), a reflection over the x-axis, and a reflection over the y-axis
Answer:
the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)
Step-by-step explanation:
after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)
after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)
after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)
What is the distance between points F(6, 4) and G(14, 19)? Round to the nearest whole number.
The distance between the points F(6, 4) and G(14, 19) is 17.
What is the distance between the given points?The distance formula used in finding the distance between two points is expressed as;
Distance = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point F(6, 4)
x₁ = 6y₁ = 4Point G(14, 19)
x₂ = 14y₂ = 19Plug the given values into the distance formula and simplify.
Distance = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Distance = √( ( 14 - 6 )² + ( 19 - 4 )² )
Distance = √( ( 8 )² + ( 15 )² )
Distance = √( 64 + 225 )
Distance = √( 289 )
Distance = 17
Therefore, the distance of the line is 17 units.
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Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
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Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
if 52% = 2600 what would 100% be
Answer:
5000
Step-by-step explanation:
\( \frac{52}{100} = \frac{2600}{x} \\ x = 5000\)
find the value of x
I need help, it’s the Remainder Theorem
A nameless polynomial p(x), or simply "some polynomial p whose variable is x," serves as the foundation of the Remainder Theorem. The Theorem then talks about dividing that polynomial by some linear factor, x a, where an is just a number.
What is The Remainder Theorem?Although it might not appear so, at least at first glance, the Remainder Theorem is useful for evaluating polynomials at a given value of x.The good news is that all you really need to know about the theorem is how to utilize it; you don't "have" to comprehend how it was proved.Once the lengthy polynomial division is complete, you are left with a polynomial answer q(x), where "q" stands for "the quotient polynomial," and a remainder r(x), where "r" stands for "the residual, after division." This balance could either be a simple integer or a polynomial with a correct variable.Examples :
Factor 4x² - x - 3 : (4x + 3 ) (x - 1)
4x² - x - 3
=(4x² + 3x) + (-4x -3)
Factor out x from 4x² + 3x : x(4x + 3 )
Factor Out -1 from -4x -3: -(4x + 3)
=x(4x + 3) - (4x +3)
Factor out common team (4x + 3): (4x + 3) (x - 1)
=(4x + 3) (x - 1).
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In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be_______. a) medium strength. b) low strength. c) high strength. d) 0
In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.
In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.
In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.
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1. Point C lies on BD. Draw a diagram and label the parts. If BC = 52.39 mm and CD = 21.83 mm, what is
the length of BD?
Answer:
74.32
Step-by-step explanation:
Add the two together, and you have your answer b/c it's asking for the total length of the line
Write in Standard Form. 3x2 4x + 7x3 + 1
The Standard Form of the polynomial function 3x^2 4x + 7x^3 + 1 is 7x^3 +3^2 +4x + 1
What is the meaning of the Standard Form of polynomial function?The meaning of the Standard Form of polynomial function can be explained as when the terms are in this equation or functions are be written in descending order of exponents.
This is usually done starting from the from left to right, we were given the function as :3x^2 +4x + 7x^3 + 1 , then let us arrange it as:
7x^3 +3^2 +4x + 1
Therefore, the Standard Form of polynomial function is 7x^3 +3^2 +4x + 1 .
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The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
Answer:
Step-by-step explanation:
If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.
Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide \(6x^2+x-15\) by 2x - 3:
__________
2x - 3 | \(6x^2+x-15\)
First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later). 2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:
3x_______
2x - 3 | \(6x^2+x-15\)
Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:
3x________
2x - 3 | \(6x^2+x-15\)
6x^2-9x
At this point we change the signs and have
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 +9x
And then we add and bring down the -15:
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now we wwill multiply the 5 by both the 2x and the -3 and subtract:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
- 10x + 15
Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.
That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2. :/
Solve the math problem
Answer:
x = 2, y = 6
Step-by-step explanation:
2x+2 = x+ 4
∴ x = 2
∴ y= 2x+2
= 2(2)+2
=6
What is the part of line having 1 endpoint and extending in one direction?
A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.
A ray is named using its endpoint first, and then any other point on the ray
Properties of ray:
A line is a series of points placed together that continue infinitely.When this line is restricted from one direction and is extended in the other direction indefinitely, it forms a ray.It has just one starting point and does not have an opposite end and goes through and cuts many points and lines and is often used to draw angles, and we cannot measure the length of a ray.To know more about ray:
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mid-point of (-2,-4) and (4,6)?
(1,1)
Hope that helps :)
Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have nonadjacent desks
Answer:
P = 0,88 or P = 88 %
Step-by-step explanation:
The probability of having a married couple in nonadjacent desks is the total number of probabilities minus the probabilities of having them in adjacent places divide by total number of outcomes
The total possibilities (outcomes) of 9 elements in a row is:
P(₉) = 9!
P(₉) = 9*8*7*6*5*4*3*2*1
P(₉) = 362880
And the outcomes in which they are adjacent to each other is:
We consider them as one unit them we in this situation have 8 elements
P(₈) = 8!
P(₈) = 8*7*6*5*4*3*2*1
P(₈) = 40320
Then the probability that the married couple will have nonadjacent desks is:
P = P(₉) - P(₈) / P(₉)
P = 362880 - 40320 / 362880
P = 322560/ 362880
P = 0,88 or P = 88 %
How many polynomials can be formed with and 5 as zeroes?
The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.
What is a polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.
Given that the zeros of a polynomial are -2 and 5.
The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].
where k is a real number.
The polynomial that has -2 and 5 zeros is
p(x) = k[x² + (-2 + 5)x + (-2)×5]
p(x) = k[x² + 3x - 10]
Where k is a real number.
The number of real numbers is infinity.
The number of polynomials is infinity.
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3. What work rules were authorized by the Fair Labor Standards Act?
minimum work hours and a maximum wage
minimum wage and minimum work hours
Omaximum hours and a maximum wage
minimum wage and maximum work hours
Answer: Your answer should be (D) Minimum wage and maximum work hours .
An example of a hypothesis is: a person is innocent until proven guilty.
a. True
b. False
The example of a hypothesis is: a person is innocent until proven guilty. The statement is true
Here the given situation is
A person is innocent until proven guilty.
The hypothesis test is defined as the test in statistics whereby an analyst tests an assumption regarding a population parameter. In hypothesis test using the data from the different types of t sample and the determine the other parameters of the population
The null hypothesis is defined as the a statement of what the statistician expects NOT to find.
Here the given situation is a person is innocent until proven guilty. Therefore, it is a null hypothesis.
In hypothesis test we assume that null hypothesis until it is proven
Therefore, the given statement true
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The function h(x) is given below.
h(x) = {(3,-5), (5, -7), (6, -9), (10, -12), (12, -16)}
Which of the following gives h-¹(x)?
O {(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
O {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}
O {(3,-5), (5, -7), (6, -9), (10, -12), (12, -16)}
O {(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}
Answer:second row
Step-by-step explanation:the inverse of a function just interchanges the y and x values
The value of h⁻¹(x) will be,
2. {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}
Here, we have,
given that,
The function h(x) is given below.
h(x) = {(3,-5), (5, -7), (6, -9), (10, -12), (12, -16)}
now, we know that,
the inverse of a function just interchanges the y and x values
and, The inverse of a function swaps the domain and range.
If f is an invertible function with domain X and range Y, then its inverse f⁻¹ has domain Y and range X.
Domain of h(x) = {3, 5, 6, 10, 12}
Range of h(x) = {-5, -7, -9, -12, -16}
So,
Domain of h⁻¹(x) = {-5, -7, -9, -12, -16}
Range of h⁻¹(x) = {3, 5, 6, 10, 12}
Hence, h⁻¹(x) will be,
{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}
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(iii) Show it in a Venn diagram. In a survey of 120 students, 60 drink milk, 50 drink curd and 20 students drink milk as well curd then, Draw a Venn diagram to illustrate the above information. (ii) Find the number of students who drink neither of them.
Answer:
Step-by-step explanation:
As you can see in the venn diagram that is attached below, The individuals that drink milk are in green, those that drink curd are in yellow, and those that drink both are in light blue. Since the sum of those that drink milk with those that drink curd is 110 and a total of 120 students were surveryed. Then this means that 10 of the students neither drink milk nor curd. These students are represented outside of the venn diagram but within the box of surveyed students.
Simplify 5a-3a+2a
What is the answer
Answer:
10a
Step-by-step explanation: