Answers
The equation in term of c is g = (c - 55)/13.50. Thomas played 6 games.
What is an independent variable?
A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable.
Given equation is c = 13.50g + p
Where p controller cost.
The controller cost $55.
putting p = 55 in the given equation:
c = 13.50g + 55
Subtract 55 from both sides
c - 55 = 13.50g + 55 -55
c - 55 = 13.50g
Divide both sides by 13.50:
(c - 55)/13.50 = 13.50g/13.50
(c - 55)/13.50 = g
g = (c - 55)/13.50 ....(i)
Given that Thomas spent $136.
Putting c = 135 in equation (i)
g = (135 - 55)/13.50
g = 81/13.50
g = 6
To learn more about linear equation, click on below link:
https://brainly.com/question/18033785
#SPJ1
Related Questions
The regression line for an Olymipic event is given. When students predict the time it will take to complete the event in the 2400 Olympics, they notice the time is equal to a negative value. since the race cannot start before it begins, you can conclude that this is an example of what
Answers
The observation of a negative time value in the regression line for predicting the time it will take to complete an Olympic event in the future is an example of an extrapolation error.
In regression analysis, a regression line is used to model the relationship between variables based on observed data. However, it is important to note that the regression line is valid only within the range of the observed data. Extrapolation is the process of using the regression line to predict values outside the range of the observed data.
When students predict the time it will take to complete the Olympic event in the future (such as the 2400 Olympics) and obtain a negative time value, it indicates an extrapolation error. This error arises because the regression line is being extended beyond the range of the observed data, leading to unrealistic and invalid predictions.
In the context of the Olympic event, a negative time value suggests that the regression line is being extrapolated to a time point before the event even begins. However, this is not logically possible, as the race cannot start before it begins.
Therefore, the observation of a negative time value in this scenario highlights the limitation and potential error in extrapolating the regression line beyond the range of the observed data.
Learn more about regression here:
https://brainly.com/question/17731558
#SPJ11
What are the missing numbers ( ),9.8,9.1,( ),7.o,6.3,5.6
Answers
Answer: 8.4 , 7.7
Step-by-step explanation:
Bayesian fidget spinners Nat's company manufactures fidget spinners. The company uses two factories, which we'll call factory 0 and factory 1. Each fidget spinner from factory k is defective with probability Ik (k E {0,1}). Nat knows that factory O produces fewer defective fidget spinners than factory 1 (in other words, qo < qı). She receives n boxes full of fidget spinners, but the boxes aren't labeled (in other words, she doesn't know which box is from which factory). For each box, she starts randomly pulling out fidget spinners until she finds a defective one, and records how many fidget spinners she pulled out (including the defective one). She calls this number Xi for box i, for i = 1,...,n. She wants to estimate the following pieces of information: • Which boxes came from factory 0, and which came from factory 1? She defines a binary random variable for each box zi with the factory label (i.e., zi 0 if box į is from factory 0, and zi = 1 if box i is from factory 1). • How reliable is each factory? In other words, what are qo and qı? Inspired by what she learned about Gaussian mixture models, she sets up the following probability model: zi Bernoulli(7) ak Beta(aksßk) Xi|zi, 90, 91 ~ Geometric(qz:) Nat decides to implement the model above setting the following hyperparameters: T = = 0.3, Po~ Beta(1,5), 01~ - Beta(5,1) (b) Which one of the following explains why Nat chose this value of a: (i) Factory 0 produces more boxes than factory 1 (ii) Factory 0 produces fewer boxes than factory 1 (iii) Factory 0 is better (i.e., it is less likely to produce defective fidget spinners) (iv) Factory 0 is worse (i.e., it is more likely to produce defective fidget spinners) (c) Which one of the following explains why Nat chose these values of a and B? (i) Factory 0 produces more boxes than factory 1 (ii) Factory 0 produces fewer boxes than factory 1 (iii) Factory 0 is better (i.e., it is less likely to produce defective fidget spinners) (iv) Factory 0 is worse (i.e., it is more likely to produce defective fidget spinners)
Answers
(b) (iii) Factory 0 is better than all other factories (i.e., it is less likely to produce defective fidget spinners).
(c) (iii)Factory 0 is better than all other factories (i.e., it is less likely to produce defective fidget spinners).
(b) Nat chose the value of a to be 0.3 because she knows that factory 0 produces fewer defective fidget spinners than factory 1. This means that factory 0 is better, or less likely to produce defective fidget spinners, which is why the value of a is closer to 0 than 1.
(c) Nat chose the values of a and B to be 1 and 5 for factory 0, and 5 and 1 for factory 1, because she knows that factory 0 is better, or less likely to produce defective fidget spinners, than factory 1.
The values of a and B are used to determine the probability of a fidget spinner being defective from each factory, with a lower value of a and a higher value of B indicating a lower probability of a defective fidget spinner.
Therefore, the values of a and B for factory 0 indicate a lower probability of a defective fidget spinner than the values of a and B for factory 1.
To know more about probability click on below link:
https://brainly.com/question/30034780#
#SPJ11
Which graph represents the function y - 3 = 3 (x – 4)?
414
4
y
2
2
2
2
X
X
2
4
2.
4-2
-2
24
2.
-2
O
Answers
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina ba de for
Step-by-step explanation:
The function is an illustration of a linear graph
The graph of the function has a slope of 3, and a y-intercept of -9
How to determine the equationThe equation is given as:
\(y - 3 = 3(x - 4)\)
Open the bracket
\(y - 3 = 3x - 12\)
Add 3 to both sides of the equation
\(y = 3x - 12+3\)
Evaluate the like terms
\(y = 3x -9\)
The above means that:
The graph of the function has a slope of 3, and a y-intercept of -9
Read more about linear equations at:
https://brainly.com/question/14323743
a sample proportion of 0.18 is found. to determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.18. the minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40. what is the margin of error of the population proportion using an estimate of the standard deviation?
Answers
The margin of error of the given population proportion by applying an estimate of the standard deviation based on the simulation is equal to 0.06.
Sample proportion = 0.18
Number of trials = 100
Sample size = 50
To determine the margin of error for the population proportion using an estimate of the standard deviation,
we can use the range of the sample proportions from the simulation.
The margin of error is calculated as half of the range.
In this case, the minimum sample proportion is 0.28 and the maximum sample proportion is 0.40.
Range = Maximum sample proportion - Minimum sample proportion
Range = 0.40 - 0.28
= 0.12
The margin of error is half of the range,
Margin of Error = Range / 2
Margin of Error = 0.12 / 2
= 0.06
Therefore, the margin of error of the population proportion, using an estimate of the standard deviation based on the simulation, is 0.06.
Learn more about margin of error here
brainly.com/question/10338689
#SPJ4
Find the general solution of the differential equation y"-9y'+20y=0
Answers
Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.
Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.
To know more about differential, visit:
https://brainly.com/question/33188894
#SPJ11
The given differential equation is y"-9y'+20y=0.
Let us use the characteristic equation to solve this differential equation.
The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.
Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0.
Therefore, r = 5 and r = 4.
Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x
where c₁, c₂ are constants.
To know more about characteristic equation, visit:
https://brainly.com/question/31428714
#SPJ11
Dylan has a part-time job at an ice skating rink selling hot cocoa. He decided to plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit. Based on the line of best fit, how many hot cocoas would you predict Dylan to sell if the day’s high temperature were 25
F?
Answers
We predict that Dylan will sell 114.79 hot cocoas if the day's high temperature is 25°F on the basis of the line of best fit.
What is intercept?Intercept is the point on the graph where the line crosses the x-axis or the y-axis. This point is calculated by solving the equation of the line for the given axis. It is used to determine the relationship between two variables.
To predict the number of hot cocoas to be sold at 25° Fahrenheit, we need to use the line of best fit equation.
The equation of the line of best fit can be determined by calculating the slope and y-intercept of the line and then using the point-slope form of a line.
The slope of the line can be calculated using the formula
m = (y₂-y₁) / (x₂-x₁)
For this graph, the slope can be calculated as
m = (104-94) / (12-0)
= 10/12
= 0.83
The y-intercept of the line can be calculated using the formula y = mx + b, where m is the slope and b is the y-intercept.
For this graph, the y-intercept can be calculated as
b = 104 - 0.83(12)
= 94.04
Therefore, the equation of the line of best fit is y = 0.83x + 94.04
Substituting the given temperature, 25°F into the equation, we get
y = 0.83(25) + 94.04
= 114.79 hot cocoas
Hence, based on the line of best fit, we predict that Dylan will sell 114.79 hot cocoas if the day's high temperature is 25 degree Fahrenheit.
For more questions related to slope
https://brainly.com/question/29044610
#SPJ1
the teacher has data representing the scores of thousands of students. for each student, the data contain the student name, the midterm exam score, the final exam score, and the result of the total points calculation. which of the following could be determined from the data? i. the average total points earned per student ii. the average increase in total points per student as a result of the score replacement policy iii. the proportion of students who improved their total points as a result of the score replacement policy a. iii only b. i and ii only c. i and iii only d. i, ii, and iii
Answers
From the data, i and iii can be determined. The solution has been obtained by using statistics.
What is statistics?
Statistics is defined as "classified facts indicating the situations of a population in a state, notably the facts that can be stated in numbers or any other tabular or classed arrangement".
We are given that a teacher has data representing the scores of thousands of students.
From this data, we can determine the average total points earned per student as we are given the total points calculation.
Also, we can determine the proportion of students who improved their total points as a result of the score replacement policy from the given data.
Hence, option C is the correct answer.
Learn more about statistics from the given link
https://brainly.com/question/15525560
#SPJ1
In your own words, how can you solve this equation?
Answers
Answer:
a square + b square = c square
Write an equivalent expression for -2/5x + (3e + 7)
Answers
Answer:
(3e+7) - (2/5)x
Step-by-step explanation:
Instead of the - 2/5x we can remove the - from it and convert the addition problem into a subtraction problem and they will be equivalent.
the amount of energy required to heat water for 10 mintues shower (50 gallons0 is 2.2125kj. how many calories is that?
Answers
The 2nd option 5.2880× \(10^{2}\) calories is the correct answer.
There are different forms of energy on earth. The sun is considered the elemental form of energy on earth. In physics, energy is considered a quantitative property that can be transferred from an object to perform work. Hence, we can define energy as the strength to do any kind of physical activity.
According to the laws of conservation of energy, “energy can neither be created nor destroyed but can only be converted from one form to another”. The SI unit of energy is Joule.
Energy =2.2125 kJ
Energy =2212.5 J (1 kJ =1000 J)
using 1 calorie = 4.184 J
Energy =2212.5 J × (1 Cal / 4.184 J)
Energy =528.800 calories =5.2880× \(10^{2}\) calories.
Out of the available options, 2nd and 3rd have the same value. But the given energy has 4 significant figures after the decimal then answer should also have 4 significant figures.
Therefore, 2nd option 5.2880× \(10^{2}\) calories is the correct answer.
For more such questions on Energy
https://brainly.com/question/21569527
#SPJ4
Complete question: the amount of energy required to heat water for 10 minutes shower (50 gallons0 is 2.2125kj. how many calories is that? Report the answer in scientific notation.
(1) 5.2880
(2) 5.2880×\(10^2\) calories
(3) 5.288×\(10^2\) calories
(4) 9.2571×\(10^{3}\)
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answers
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
What is the difference between X1 and x1? O X1 is a random variable, and X1 is a specific numerical value. a. X1 is a random variable, and X1 is a specific numerical value. b. There is no difference. c. They are both random variables. d. There is no difference. e. They are both specific numerical values.
Answers
The main difference between X1 and x1 is that X1 is a random variable and x1 is a specific numerical value.
In mathematics, variables are often used to represent different values, and the difference between uppercase and lowercase letters is often used to distinguish between different types of variables. X1 is a random variable, which represents a value that can take on different values depending on the outcome of an experiment or a probability distribution. x1, on the other hand, is a specific numerical value, which represents a fixed value that is known or can be determined. In short, X1 refers to a variable whose value is uncertain and x1 refers to a specific value of that variable.
To know more about random variable click below:
https://brainly.com/question/17238189#
#SPJ4
Need help with 15 and show the work
Answers
Answer:
D
Step-by-step explanation:
In 2 hours they wash 8 cars total so...
8
16
24
The extra time is 15 mins for 2 cars
Give Brainliest (need ASAP)
Answers
Answer:
-4, 2
Step-by-step explanation:
It's dividing by negative 2
Answer:
-8, 16 maybe sorry if wrong
A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board.
The total area of the sectors that do not allow the player to move his token is 45. 1 inches squared.
What is the radius of the spinner?
Enter your answer, rounded to the nearest tenth of an inch, in the box
Answers
Answer:
The radius is 9.28 inches.
Step-by-step explanation:
Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)
2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.
45.1 × 6
= 270.6
The entire spinner has the area 270.6
The area of a circle is:
A = pi•r^2
We are looking for r. Thats the radius they asked for in the question.
270.6 = pi•r^2
pi is a number, I'm using the pi button on the calculator bc it is most exact.
270.6 = pi•r^2
Divide both sides by pi.
86.134655 = r^2
square root both sides.
9.28 = r
The radius is 9.28 inches.
Attachment no explanation only answer
Answers
Answer:
y=x+6
Step-by-step explanation:
The slope is 1 and the y-intercept is 6, so we get:
y=x+6 (from the formula y=mx+b)
Answer:
Hey!
Your answer is y=x+6
Step-by-step explanation:
The gradient is x because the line goes up in 1's...
So 1 / 1 = 1
The y-intercept is 6 (that's where the line crosses the y axis...
Hope this helps!
State what additional information is required in order to know that the triangles are congruent for the reason given
Answers
Answer:
63) The additional information is GD ≅ CD
64) The additional information is ∠LQR ≅ ∠PQR
Step-by-step explanation:
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔLet us use the facts above to solve the questions
#63
In triangles BGD and BCD
∵ BG = BC
∵ BD is a common side
To prove that the 2 triangles are congruent using the SSS postulate, then the 3rd sides in the two triangles must be equal∵ The 3rd sides are GD and CD
∴ GD and CD must be equal
∴ GD = CD
∴ The additional information is GD ≅ CD
#64
In triangles LQR and PQR
∵ LQ = PQ
∵ QR is a common side
To prove that the 2 triangles are congruent using the SAS postulate, then the included angles between the congruent sides must be equal∵ The included angles are ∠LQR and ∠PQR
∴ m∠LQR and m∠PQR must be equal
∴ ∠LQR ≅ ∠PQR
∴ The additional information is ∠LQR ≅ ∠PQR
The additional information required in order to know that the triangles are congruent for the reasons given are;
63) DC ≅ DG
63) DC ≅ DG64) ∠LQR ≅ ∠PQR
63) The congruence theorem used here is SSS. This denotes Side - Side - Side. What this means is that the 3 corresponding sides of ΔBGD and ΔBCD are congruent.
Now, we are given;
BC ≅ BG
Also; BD ≅ BD (By reflexive property)
For the SSS congruence theorem to hold, it means that; DC ≅ DG
64) The congruence theorem used here is SAS. This denotes Side - Angle - Side. What this means is that 2 corresponding sides and the Included of ΔBGD and ΔBCD are congruent.
Now, we are given;
QP ≅ QL
Also; QR ≅ QR (By reflexive property)
The included angles here are ∠LQR and ∠PQR.
Thus, ∠LQR ≅ ∠PQR.
Read more at; https://brainly.com/question/14399801
please help asap!! Thank youu
Answers
Answer: Option 2. x≥-78
Step-by-step explanation:
(x/-6)+2≤15
x/-6≤13
x≥-78 ⇔ REMEMBER you need to change the direction of the sign
when you multiply/divide a negative number
Option 2. x≥-78
Hope this helps!! :)
Please let me know if you have any question
Explanation:
x/-6 + 2 <_ 15
x/-6 <_ 13
x _> -78 (change sign when it’s negative)
Write the augmented matrix for the following system of equations 7-6y+8x=0, 6x=-3-2y
Answers
Augmented matrix is a matrix that is composed of the coefficients of the variables of a system of linear equations and the constants on the right side of the equal signs of the linear equation.
For the given system of equations, the augmented matrix is:
| 7 -6 8 | 0 |
| 6 -2 -3 | -3 |
The first row consists of the coefficients of the variables x and y, and the constant 0 from the equation 7-6y+8x=0.
The second row consists of the coefficients of the variables x and y, and the constant -3 from the equation 6x=-3-2y.
The augmented matrix can be written in a short form as:
| 7 -6 8 | 0 |
| 6 -2 -3 | -3 |
This augmented matrix can be used to solve the system of equations by using the Gaussian Elimination Method or the Gauss-Jordan Elimination Method.
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.
For more questions like Augmented matrix visit the link below:
https://brainly.com/question/29148082
#SPJ4
PLS HELP similar polygons have the same____ but not necessarily the same size
Answers
Describe how to use dimensional analysis to convert 20 inches to feet. Choose the correct answer below. 1 ft 2.54 cm O A. Multiply 20 inches by 1 in. B. Divide 20 inches by 12 in. 1 cm 1 ft O C. Multiply 20 inches by D. Multiply 20 inches by 2.54 in. 12 in. 1 cm 12 ft O E. Divide 20 inches by OF. Divide inches by 2.54 in. 1 in. 12 ft G. Multiply 20 inches by 2.54 cm H. Divide 20 inches by 1 in. 1 in.
Answers
Divide 20 inches by 12 inches: correct - using the conversion factor of 1 foot = 12 inches. The correct answer is option B
Dimensional analysis is a powerful tool used to convert between different units of measurement. In this case, we want to convert 20 inches to feet.
To do this, we need to use conversion factors that relate inches to feet. One such conversion factor is 1 foot = 12 inches. The correct answer is option B
To convert 20 inches to feet using dimensional analysis, we can use the conversion factor as a fraction: 1 foot / 12 inches. Multiplying 20 inches by this fraction cancels out the inches unit and leaves us with the equivalent value in feet. So the correct answer is option B: Divide 20 inches by 12 inches.
To learn more about inches click here:
https://brainly.com/question/876758#
#SPJ11
The series [infinity]Σ n=1 4^nx^2n/n converges conditionally when
(a) x = 1/2
(b) x = -1/2
(c) x = ±1/2
(d) None of the above.
Answers
The series [infinity]Σ n=1 (4^n * x^(2n))/n converges conditionally when x is in the interval: (c) x = ±1/2
To determine when the series [infinity]Σ n=1 (4^n * x^(2n))/n converges conditionally, we can use the ratio test. Let's apply the ratio test to the series:
lim(n→∞) |(4^(n+1) * x^(2(n+1)) / (n+1)) / (4^n * x^(2n) / n)|
Simplifying this expression:
lim(n→∞) |(4^(n+1) * x^(2(n+1)) * n) / (4^n * x^(2n) * (n+1))|
Simplifying further:
lim(n→∞) |4 * x^2 * n / (n+1)|
Taking the absolute value and applying the limit:
lim(n→∞) |4 * x^2 * n / (n+1)| = |4 * x^2|
Now, for the series to converge conditionally, the ratio |4 * x^2| must be less than 1. Therefore, we have:
|4 * x^2| < 1
Solving this inequality:
-1 < 4 * x^2 < 1
Dividing all terms by 4:
-1/4 < x^2 < 1/4
Taking the square root of all terms:
-1/2 < x < 1/2
Hence, the series [infinity]Σ n=1 (4^n * x^(2n))/n converges conditionally when x is in the interval: (c) x = ±1/2
To learn more about series click here:
brainly.com/question/31062040
#SPJ11
Determine the domain of the following graph:
Answers
answer:
(-1,8]
explanation I just did something close to this
What is the 62 th term of the sequence 11, 14, 17, 20...?
Answers
what is 4 3/5 an an improper fraction
Answers
Explanation:
4 • 5 = 20
20/5 + 3/5 = 23/5
Hope this helps!
Answer:
23/5
Step-by-step explanation:
4 3/5 = 23/5
first multiply 4 x 5 then multiply that answer by 3
then you get 23/5 the denominator stays the same
I hope this helps and I hope this is the right answer for your hw/test
A camera has a listed price of $826.95 before tax. If the sales tax rate is 8.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
899.30
Step-by-step explanation:
Find the value of the expression (2x − 12) + (xy-10) for x = 8 and y = 2.
-
O-8
O 6
O-10
02
Answers
The value of the expression, (2x − 12) + (1/2xy-10), for x = 8 and y = 2 will be 2.
According to the question,
We have the following expression:
(2x − 12) + (1/2xy-10)
Now, the values of x and y are given to be 8 and 2 respectively.
So, we will put these values of x and y in the given expression:
(2*8-12)+(1/2*8*2-10)
First, we will use multiplication:
(16-12)+(8-10)
4+(-2)
(Note that when two integers are of different signs then the integers are subtracted but the sign in the result is of the larger integer.)
4-2
2
Hence, the value of the expression, (2x − 12) + (1/2xy-10), for x = 8 and y = 2 will be 2.
To know more about value of the expression here
https://brainly.com/question/28365581
#SPJ1
Match the rational function with its graph. Do not use a graphing calculator. 1 A a) f(x)= x-1 b) f(x)= c) f(x)= d) f(x) = e) f(x)= f) f(x)= g) f(x)= x-1 -2 x-1 x-1 4 x²+1 b) f(x)= 1) f(x)=-4 x² - 2x 1) f(x)=2+2x+1 E G L H
Answers
The matching of the given rational function with its graph is as follows:1. \(A. f(x) = x - 1/ x - 2,2. E. f(x) = x² + 1,3. G. f(x) = 1/ x - 2,4. H. f(x) = x - 1/ x - 1\)
Let us discuss the match of the rational function with the given graph.
f(x) = x - 1/ x - 2 and g(x) = x - 1 - 2x
From the graph, a vertical asymptote x = 2.
Thus, it matches with the function f(x) = x - 1/ x - 2.
Option A is correct.
f(x) = x² + 1 and h(x) = -4x² - 2x + 1
From the graph of the function, we can see that the function does not have a horizontal asymptote and has two x-intercepts at x = 1 and x = -1.
Thus, it matches with the function f(x) = x² + 1.
Option E is correct.
f(x) = 1/ x - 2 and l(x) = 2x + 1/ x - 2
We can see from the graph that the function has a vertical asymptote at x = 2.
Thus it matches with the function f(x) = 1/ x - 2.
Option G is correct.
f(x) = x - 1/ x - 1 and h(x) = -4x² - 2x + 1
The function has a hole at x = 1.
Thus it matches with the function f(x) = x - 1/ x - 1.
Option H is correct.
To know more about rational function visit:
https://brainly.com/question/27914791
#SPJ11
A fair coin is flipped twice If both flips come up heads, you lose $7 If at least one flip comes up tails, you win $1. Let X be the random variable that corresponds to your winnings in dollars. Ex X2 if you win $2 and X-2 if you lose S2. What is the expected value of X?
Answers
This is the complement of both flips coming up heads, so the probability is 3/4. The expected value of X is -$1.
To find the expected value of the random variable X, we need to calculate the weighted average of its possible outcomes based on their probabilities.
Given:
If both flips come up heads, X = -7 (loss of $7)
If at least one flip comes up tails, X = 1 (win of $1)
Let's calculate the probabilities of each outcome:
Both flips come up heads:
The probability of getting a head on a fair coin flip is 1/2.
Since the flips are independent events, the probability of getting two heads in a row is (1/2) * (1/2) = 1/4.
At least one flip comes up tails:
This is the complement of both flips coming up heads, so the probability is 1 - 1/4 = 3/4.
Now, let's calculate the expected value of X:
E(X) = (-7) * P(X = -7) + (1) * P(X = 1)
E(X) = (-7) * (1/4) + (1) * (3/4)
= -7/4 + 3/4
= -4/4
= -1
Therefore, the expected value of X is -$1.
To know more about probability, visit:
https://brainly.com/question/31828911
#SPJ11