Answer:
Yes, this graph is a function.The line does not overlap.
A graph would not be a function if there was an X with two Y's. (Ex. (5,0)(5,2) )
I hope this helps!
What is the slope of the line that passes through the points (4,5) and (12,7)?
Answer:
(2,8)
Step-by-step explanation:
If we plot both points on the graph and start at (4,5) we count up (rise) 2 and to the right (run) 8. This means they are both positive numbers as it goes up and to the right.
*Down or to the left would be negative.
problem 7.2. cox-ross-rubinstein (crr) the cox-ross-rubinstein model is a binomial tree in which the up and down factors are given as u
The Cox-Ross-Rubinstein (CRR) model is a mathematical model used in finance to evaluate the potential future value of an asset or portfolio. The model is based on the concept of a binomial tree.
What is a binomial tree?A binomial tree is a mathematical model used in finance to estimate the probable future value of an asset or portfolio. The notion of a binomial, a mathematical expression with two potential outcomes, forms the foundation of the model. In a binomial tree, the future value of the asset is defined by two potential outcomes at each time step: a "upper" element and a down factor. The underlying variables that affect the asset, such as interest rates and market circumstances, dictate the up and down components. Reflecting This enables investors to assess the advantages and dangers of a possible investment and come to wise judgments.
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the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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384.75 as a fraction
Answer:
1539/4 (improper fraction) or 384 3/4 (simplified fraction)
Step-by-step explanation:
To find the improper fraction, write 384.75 as a fraction:
384.75/1
Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:
38475/100
Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:
1539/4
To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:
384 3/4
Hope this helps :)
wilfredo, que actualmente tiene 42 años, tiene 8 años mas que el doble de la edad de alejandro. que edad tiene alejandro
We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.
Alejandro's age is given as follows:
17 years old.
How to obtain Alejandro's age?Alejandro's age is obtained solving a system of equations, considering it's age as x.
Double his age is given as follows:
2x.
Eight more than double is given as follows:
2x + 8.
Wilfredo's age is of 42, hence the value of x is given as follows:
2x + 8 = 42
2x = 34
x = 17.
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An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sum of the dots is divisible by 4?.
The probability that the sum of the dots is divisible by 4
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.
The size of the sample space is 6×6=36 .
The ways of getting a number divisible by 4 with 2 dice are these combinations:
the sum should be 4, 8, 12.
( 1 , 3 ), ( 3 , 1 ), ( 2 , 2 ), ( 2,6 ), ( 6 , 2 ), ( 4 , 4 ), ( 6 , 6 ).
∴ there are 7 ways to get a number divisible by 4 with one roll of two dice.
P(sum shown on dice is divisible by 4 )
= 7/36 .
Therefore, the probability that the sum of the dots is divisible by 4 is 7/36
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Help please!! I am freaking out!!
The yellow portion of this pie chart represents 35%
How many degrees are in the angle formed by the edges of the yellow region?
Answer:
100.8
Step-by-step explanation:
100%=360
35%=?
35/100*360=100.8
Answer:
The correct answer is 126
Help there are five people at the carnival they are 15 people at the other carnival how many people are there
on your desk, there is a very special die with a prime number p of faces, and you throw this die once. show that no two events a and b can be independent unless either a or b is the whole sample space or the empty set.
We have proven that no two events a and b can be independent unless either a or b is the whole sample space or the empty set below.
A sample space can be defined as the set of all possible outcomes of any experiment.
We are already aware that the outcomes of this die are going to be (1,2,3,..p). If we have a pair of proper events A, B which are independent, this would mean that = A∩B={∅} (i)
This is a contradiction. So, now we suppose that = A∩B=C, for some proper event C (ii)
Using the values of (i) and (ii), we get -
= |C|p=P(A∩B)=P(A)P(B)=|A||B|p2.
= p|C|=|A||B|.
From this, we understand that neither A nor B are going to be full spaces and hence, no two events a and b are independent and 0<|A|<p and 0<|B|<p. Since |C| is also going to be less than 0 and p is prime, p divides either |A| or |B|. if p was not prime (say, p=4), then you would only need the factors of p to divide either |A|,|B|, so, it becomes necessary for p to be a prime number. Hence, proved.
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Let u:R+2→R be a strictly increasing C2 utility function. (a) Derive an expression for the slope of an indifference curve at an arbitrary consumption bundle (x0,y0)∈R++2. (b) Take a derivative of the expression in part (a) in order to compute the second-order derivative of the indifference curve. Demonstrate this second-order derivative is positive (i.e. the law of diminishing marginal rate of substitution holds) if u is quasiconcave on R+2
(a) The slope of an indifference curve at an arbitrary consumption bundle (x0, y0) is given by the negative ratio of the marginal utilities of x and y, i.e., -MUx/MUy.
(b) Taking the derivative of the expression in part (a) gives the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, this second-order derivative will be positive, demonstrating the law of diminishing marginal rate of substitution.
How can we express the slope of an indifference curve and its second-order derivative?In economics, an indifference curve represents the combinations of two goods (x and y) that provide the same level of utility or satisfaction to an individual.
The slope of an indifference curve measures the rate at which the individual is willing to substitute one good for another while remaining indifferent.
To derive an expression for the slope of an indifference curve at a given consumption bundle (x0, y0), we consider the marginal utilities of x (MUx) and y (MUy).
The slope is determined by the negative ratio of MUx to MUy, which indicates the relative change in x compared to y that maintains the same level of utility.
Taking the derivative of this expression provides the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, which means that indifference curves are convex, the second-order derivative will be positive.
This confirms the law of diminishing marginal rate of substitution, stating that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.
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Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.
According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.
Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50¢ price increases.
b(x) = -____x2 + ____x + _____
Answer:
b(x) = -2x² + 7x + 114
Step-by-step explanation:
Step-by-step explanation:
First we convert 50 cent into dollar,
1 cent = dollar
1 cent = 0.01 dollar
50 cent = 0.5 dollar
According to question,
x is the number of 50¢=$0.5 price increases.
b(x) is the revenue generated
He currently charges $3 per book.
i.e. price of book = 3+0.5x
Quantity or average = 38 per day
According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.
i.e. quantity became 38-4x
Revenue = Price × Quantity
The required equation is given by,
the limit of f(x) as xa describes what happens to f(x) when x is near, but not equal to, the value a.
If x is near but not equal to, the value an is that f(a) then the function will not continue.
What is the limit?Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.
In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.
If a function f(x) is defined near to x = a but not a then there will be no continuity of that function at that point.
To exist a limit at x = a
LHL = RHL
But for continuity
LHL = RHL = f(a)
Hence "If x is near but not equal to, the value an is that f(a) then the function will not continue".
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The independent variable of interest in an ANOVA procedure is called a Select one: O a. partition. O b. treatment. Oc. response. d. factor.
The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).
The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).
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At an amusement park, only 18 peopel are allowed on a ride at the same tome. There are 157 people waiting in line. Hiw many groups of riders will there be?
Answer:
8 groups
Step-by-step explanation:
just keep taking away 18 till u can't anymore
your welcome
Answer:
Step-by-step explanation:9
the mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.
The sample space is 4845.Therefore, option C is correct.
Given: The mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.
Solution: We have a sample size of 4 wards out of a total of 20 wards. The mayor has chosen all the voters in those 4 wards. So, the sampling method used here is stratified sampling as the mayor chose the voters of specific 4 wards.
Sample space = Total number of ways to select 4 wards out of 20 wards= C(20,4) = 20!/(4!(20 - 4)!) = 4845
Hence, the sample space is 4845.Therefore, option C is correct.
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what is the answer to 22% of 49.6?
Answer:
10.912
Step-by-step explanation:
0.22*49.6=10.912
Answer:
the answer is 225.45
Step-by-step explanation:
49.6 ÷ 22% =
49.6 ÷ (22 ÷ 100) =
(100 × 49.6) ÷ 22 =
4,960 ÷ 22 ≈
225.454545454545 ≈
225.45
Find the perimeter of the rectangle, in feet.
(look at the picture.)
Answer:
8 1/3ft
Step-by-Step Explanation:
how many ways can you make a 5 digit password that can be any number (including zero) or letter (not case sensitive)? 916132832
These work out to 60,466,176 case insensitive combinations of letters.
There are 10 digits 0–9.
The are 26 letters in the modern alphabets.
However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.
There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.
You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.
Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.
So, there are either 36 (10 digits and 26 letters).
To find the number of combinations you multiply the number of possibilities for each character;
36 x 36 x 36 x 36 x 36
These work out to 60,466,176 case insensitive combinations of letters.
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A small internet trading company estimates that each network blackout results in a $500 loss. Compute expectation and variance of this company’s daily loss due to blackouts.
x = 0, 1, 2
Px = 0.7, 0.2, 0.1
The expectation (mean) of the company's daily loss due to blackouts is $200, and the variance is $350.
To compute the expectation of the company's daily loss, we multiply each possible loss value by its corresponding probability and sum them up. In this case, we have three possible loss values (0, 1, and 2) with their respective probabilities (0.7, 0.2, and 0.1). Multiplying each loss value by its probability and summing them gives us the expected value of $200.
To calculate the variance, we need to find the squared differences between each possible loss value and the expected value, multiply them by their respective probabilities, and sum them up. Squaring the differences ensures that negative differences do not cancel out positive differences. In this case, the variance is calculated as (0 - 200)^2 * 0.7 + (1 - 200)^2 * 0.2 + (2 - 200)^2 * 0.1, resulting in a variance of $350.
The expectation and variance provide useful measures of the central tendency and variability, respectively, of the company's daily loss due to blackouts.
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A bag has 5 yellow marbles, 3 red marbles, 2 blue marbles quin randomly picks a marble from Thebes bag and returns it before another is picked
Answer:
blue
Step-by-step explanation:
More than more than likely he picks the blue one because the blue has two the five has yellow marbles the red marbles have three so more than likely he picked blue
Salary Ron’s paycheck this week was $17.43 less than his paycheck last week. His paycheck this week was $103.76. How much was Ron’s paycheck last week?
Ron’s paycheck last week was $121.19. Given that Ron's paycheck this week was $17.43 less than his paycheck last week.
His paycheck this week was $103.76.
To find how much was Ron’s paycheck last week, we need to use the following formula. Let Ron’s paycheck last week be x. Then,x - 17.43 = 103.76.
To find x, add 17.43 to both sides of the equation, then we get;x - 17.43 + 17.43 = 103.76 + 17.43x = 121.19
Therefore, Ron’s paycheck last week was $121.19.Hence, the required answer is $121.19.
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This table gives a few (x,y) pairs of a line in the coordinate plane. х y 34 -52 51 -65 68 -78 What is the y-intercept of the line?
ANSWER:
The y-intercept is:
\((0,-26)\)STEP-BY-STEP EXPLANATION:
We have to calculate the equation in its slope-intercept form, which is the following
\(\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}\)we calculate the slope with the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1_{}}\)we replace the points (34, -52) and (68, -78)
\(m=\frac{-78-(-52)}{68-34}=\frac{-26}{34}=-\frac{13}{17}\)now, for b, with the point (51, -65)
\(\begin{gathered} -65=-\frac{13}{17}\cdot51+b \\ -65=-39+b \\ b=-65+39 \\ b=-26 \\ \text{Therefore, y-intercept is} \\ (0,-26) \end{gathered}\)Answer:
0, -26
Step-by-step explanation:
khan academy
Increase £19028.42 by 9.5%
Give your answer rounded to 2 DP
i’m very confused on this can someone help?
Answer:
(x,y) -> (5,4)
Step-by-step explanation:
there is a positive slope.
Where is the x intercept of the graph
A (5,0)
B (0,0)
C (-3,0) and (3,0)
D (0,3) and (0,-3)
Answer:
I think the answer is B
Step-by-step explanation:
Sorry if it is wrong
Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!
Which, if any, of the following generalized formulas does not exist for interhalogen compounds? (X and Y represent different halogens.)
XY
XY2
XY3
XY5
All the above can represent stable interhalogen compounds.
All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.
The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.
Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.
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Problem 2
A jewelry store purchased a pair of earrings for $54
before a markup was applied.
There was a 90% markup. After the markup, a 6.5%
sales tax is added.
What is the total after markup and tax?
Answer:
$109.27
Step-by-step explanation:
100 + 90 = 190
54/100 X 190 = 102.60
100 + 6.5 = 106.5
102.60/100 X 106.5 = 109.269
monetary unit round to 2dp
109.27
A 2-dimensional 3x3 array of ints, has been created and assigned to tictactoe. Write an expression whose value is that of the first element in the first row.
The expression whose value is that of the first element in the first row is array[0][0].
It's a grid, like in the game battleship, so the bottom left would be A1 and so on if the grid looked like this:
_ 1 2 3 4 5
D
C
B
A
But instead of letters and numbers, in java its numbers and numbers so the grid looks like this (for 3 x 3)
_0 1 2
0
1
2
so the first element of the first row would be expressed as (assuming the array was called an array)
array[0][0]
the second item in the last row would be
array[2][1]
Hence the expression whose value is that of the first element in the first row is array[0][0].
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I'm really confused by this; can someone help me?
Write the biconditional statement using the information given in the statement below.
"If a shape is an octagon, then it has 8 sides"