Consequently, the function's average rate of change is -11.
What is function?A mathematical expression, rule, or law that describes the relationship between two independent variables and one dependent variable In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.
The function is given by .
The ratio of the dependent variable's change to the independent variable's change is referred to as the rate of change.
f(x)=[tex]x^{2}[/tex]-6x+6
x ranges from -7 to 2, with 2 being the highest value.
=> f(-7) = 49 + 42 + 6 = 97.
=> f(2) =- 12 + 6+4 = -2.
The average rate of change is
f(-7)-f(2)/-7-2
=> 97-(-2)/-9
=> 99/-9
=> -11
Consequently, the function's average rate of change is -11.
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would using standard deviations be a good way to detect fraud? explain your answer. yes, because the standard deviations of these two distributions are very close in value. no, because the standard deviations of these two distributions are not equal. no, because the standard deviations of these two distributions are not too different from one another. yes, because a standard deviation of 2.58 will indicate fraud. any other value will indicate legitimate expense amounts. yes, fraudulent reports will always have a standard deviation that is greater than 2.46.
(a) The standard deviation is 2.582
(b) No, because the standard deviations of these two distributions are not too different from one another.
a) In this question we have been given
The given information is:
First Digit 1 2 3 4 5 6 7 8 9
Probability 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9
Now we find the standard deviation.
The mean for given data is:
μ = ∑xP(X = x)
μ = (1*1/9) +(2*1/9)+(3*1/9)+(4*1/9)+(5*1/9)+(6*1/9)+(7*1/9)+(8*1/9)+(9*1/9)
μ = 5
The standard deviation is:
σ² = ∑(x - μ)²P(X)
σ² = (1 - 5)² *1/9 +(2 - 5)²*1/9+(3 - 5)²*1/9+(4 - 5)²*1/9 + (5 - 5)²*1/9+(6 - 5)²*1/9+(7-5)²*1/9+(8-5)²*1/9)+(9-5)²*1/9
σ² = 2.582
(b) The uniform distribution's standard deviation is 2.582, while Benford's law's standard deviation is 2.46
Using the standard deviation to detect fraud is not a good idea because the two distributions have about the same standard deviation
Therefore, (a) The standard deviation is 2.582
(b) using standard deviations would not be a good way to detect fraud.
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The complete question is:
Benford’s law and fraud
(a) Using the graph from Exercise 21, calculate the standard deviation σY. This gives us an idea of how much variation we’d expect in the employee’s expense records if he assumed that first digits from 1 to 9 were equally likely.
(b) The standard deviation of the first digits of randomly selected expense amounts that follow Benford’s law is . Would using standard deviations be a good way to detect fraud? Explain your answer.
we have discussed four tree-based methods: decision trees, bagging, random forests, and boosting. which approach relies on bootstrapped samples, i.e., taking repeated random samples with replacement from the training data? check all that apply.
The correct answer is boosting.
Given that,
The four tree-based techniques are boosting, bagging, random forests, and decision trees. Which method uses bootstrapped samples, or the process of repeatedly obtaining random samples from training data and replacing them?
Boosting is an emsemble machine learning approach, where we use bootstrapping sampling technique to get the required samples. It helps in the reduction of variance and thus bring in less bias in the sampling approach. Therefore boosting is the correct answer here.
In order to gather the necessary samples for boosting, we employ the bootstrapping sampling technique. It aids in lowering variance, which reduces bias in the sampling strategy. Thus, boosting is the appropriate response in this case.
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Six points are drawn from uniform distribution U10,1]. The first three points are marked green and the next three are marked red on the real line. What is the probability that all adjacent points differ in color? Pick one of the choices
O 1/20
O 1/10
O 1/6
O 1/5
The probability that all adjacent points differ in color is given as follows:
1/10. (second option).
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the total outcomes, we have an arrangement of 6 elements, due to the six points, with 3 and 3 repetitions, as 3 are green and 3 are red, hence the number of total outcomes is calculated as follows:
[tex]T = A_6^{3,3} = \frac{6!}{3!3!} = 20[/tex]
For the desired outcomes, there are two, given as follows:
Red - Green - Red - Green - Red - Green.Green - Red - Green - Red - Green - Red.This means that the probability that all adjacent points differ in color is calculated as follows:
p = 2/20 = 1/10.
Hence the second option is the correct option.
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Factorise xsquared+ 5x + 6
Answer:
[tex](x+2)(x+3)[/tex]
Step-by-step explanation:
⭐What does factorisation mean?
factorisation is the process of writing a number or a polynomial in terms of its factors⭐What are factors?
factors are the terms that multiply together to create a number or a polynomialThus, we have to write [tex]x^2+5x+6[/tex] in terms of its factors.
I have a picture attached to this response to show you how factorisation works, but I will also explain it here.
How to factorise:
Look at the constant in your polynomial (the term without a variable). In this problem, the constant is 6. Look at the coefficient middle term in your polynomial (the number next to the variable). In this problem, the middle coefficient is 5. Find what numbers multiply together to have a product of 6, and add together to have a sum of 5.The numbers +2 and +3 multiply together to have a product of 6, and add together to have a sum of 5. In the next line, write the polynomial again, but write 5x in terms of the numbers we found.You'll get: [tex]x^2 + 2x +3x + 6[/tex]Now, we can factorise the binomials we see here.⭐What are binomials?just as "bi" means 2, binomials are equations with 2 termsThe binomials are [tex]x^2 + 2x[/tex] and [tex]3x + 6[/tex]To factorise the binomials, find the GCF for both terms of each binomial.The GCF for [tex]x^2 + 2x[/tex] is x.The GCF for [tex]3x+6[/tex] is 3.Now, write the GCFs outside of the parentheses for each binomial and rewrite what's in the parentheses.You'll get: [tex]x(x+2) +3(x+2)[/tex]You should have the same expression in both parentheses.Now, we have to rewrite this expression by keeping what's inside of the parentheses, and putting the terms outside of the parentheses inside parentheses.You'll get: [tex](x+2)(x+3)[/tex]That's it!The picture of factorisation is attached to this response.
⭐ if this response helped you, please mark it the "brainliest"!⭐
10 points please help!,
There are some nickles, dimes, and quarters in a large piggy bank. For every 2 nickles there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
1. How many nickles, dimes, and quarters are in the piggy bank? Explain.
2.How much are the coins worth?
1. There are 80 Nickels, 120 dimes, and 300 quarters in the piggy bank.
2. The coins worth is $91
How many types of coins are there?
There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.
1 Quarter = 25 cent
1 dime = 10 cents
1 Nickel = 5 cents
1 penny = 1 cent
Assume that, the number of Nickel coins is x.
Given that, 2 nickles there are 3 dimes.
1 nickle there are 3/2 dimes.
x nickles there are 3x/2 dimes.
Also given that,
2 dimes there are 5 quarters.
1 dimes there are 5/2 quarters.
3x/2 dimes there are (5/2) × (3x/2) quarters = 15x/4.
There is 500 coins in the piggy.
Therefore, x + (3x/2) + (15x/4) = 500
(4x + 6x + 15x) /4 = 500
25x/ 4 = 500
x = 80.
The number of dimes is (3 × 80)/2 = 120
The number of quarters is (15 × 80)/4 = 300.
The total cost of 80 nickles, 120 dimes, and 300 quarters is
= [(80 × 5) + (120 × 10) + (300 × 25)] cents
= 400 + 1200 + 7500 cents
= 9100 cents
= $(9100/100)
= $ 91
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4 students can put together 14 puzzles in 7 mins and 30 seconds. How long will it take them to finish 23 puzzles if another person is added and the time is constant?
Find the x-intercepts.
2x²-3x + 1
y = 2x² + 8x + 6
(0.5, [?]), ([ ]. [D
Which statement describes the graph f(x)=4x^7+40x^6+100x^5?
Answer:
Step-by-step explanation:
Graph crosses the x-axis at x = 0 and has zeros at {-5, -5}.Step-by-step explanation: Note that f(x) factors as follows: f(x) = 4x^5 (x^2 + 10x + 25) …
What is the value of x? Show your work
Answer: x=16
Step-by-step explanation:
The two angles in the picture is equal to each other.
So the 6x + 4 = 100 degree
6x = 96
x= 16
what is the probability that a five-digit integer chosen at random is divisible by 5? (enter your probability as a percent.) %
The probability that a five-digit integer chosen at random is divisible by 5 is 13.1 %.
Given :
what is the probability that a five-digit integer chosen at random is divisible by 5 .
Probability :
Probability is a branch of mathematics that deals with the occurrence of a random event.
Probability = 9^3 * 8 * 2 / 9 * 10^4
= 729 * 8 * 2 / 9 * 10000
= 5832 * 2 / 9 * 10000
= 11809 / 90000
= 0.131
converting into percentage :
= 0.131 * 100 %
= 13.1 %
Therefore The probability that a five-digit integer chosen at random is divisible by 5 is 13.1 %
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A falling object travels a distance given by the formula d=2t+2t^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 59 feet? Round the answer to 4 decimal places.
Ruben bought 666 comic books for $ 21 dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
The cost for 111 books is obtained as $3.5.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
The given problem can be solved using unitary method as follows,
The cost for 666 books = $21
Then, cost for 1 book = 21/666
Thus, the cost of 111 books = 21/666 × 111
= 21/6
= 3.5
Hence, the cost for 111 comic book is given as $3.5.
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Which of the following is factor of 4x² +3x−7?
Answer:
Step-by-step explanation:
BRO what FACTOR????????????????????????///////////////////////
true or false? in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m
The statement "in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m" is true.
Stable pairing is a way which guarantees that all elements from two sets (men and women, children and toys, people and vacation destinations, whatever) are paired with an element from the other set AND that pair is the "best available match".
According to the statement, men are free to create a list of women's according to their preferences. There will be order sequence of women and men places them in queue of their preference. The men proposes the women with highest ranking in the list then it is possible that all men gets their preferred choice.
The pairing is a best available match and therefore can be called as a stable matching problem. Hence the statement is true.
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events x and y are independent of each other. if the probability of event x occurring is 1 in 4, and the probability of event y occurring is 1 in 5, the probability of both events occurring is ____.
The probability of both events occurring is 1/20.
What are examples and probability?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
Events X and Y are independent.
The probability of X occurring is 1/4
The probability of Y occurring is 1/5
Since both events are independent, then we have
P(X and Y ) = P(X) * P(Y)
= 1/4 * 1/5
= 1/20
P( X and Y ) = 1/20
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How do you convert 2 as a percentage?
answer please!!!! woopp
Answer:
1. infinite
2. no
3. one
4.no
Please I really need help, ASAP
Step-by-step explanation:
the volume of a pyramid is
base area × inner height / 3
we have the base area : 7×7 = 49 in²
so, we need to get the inner height h.
fit this we need to get the outer height l.
the surface area is
base area (49 in²) + 4×side triangle area = 185 in².
one of these 4 side triangle area is
baseline (7 in) × l / 2
so, we have a surface area
49 + 4×7×l/2 = 185
49 + 2×7×l = 185
49 + 14×l = 185
14×l = 136
l = 136/14 = 68/7 = 9.714285714... in
h we get now via Pythagoras
c² = a² + b²
with c being the Hypotenuse (side opposite of the 90° angle), a and b being the legs.
l² = h² + 3.5²
94.36734694... = h² + 12.25
h² = 94.36734694... - 12.25 = 82.11734694...
h = 9.061862222... in
so, the volume of the pyramid is
49 × 9.061862222... / 3 = 148.0104163... in³ ≈
≈ 148.01 in³
Find the missing value so that the line passing through the points has the given slope
The missing value so that the line passing through the points has the given slope is of:
r = 9.
How to obtain the slope of a linear function?Given two points that are on the graph of the linear function, the slope of the linear function is obtained by the division of the change in y of the two points by the change in x of the two points.
In this problem, the points are given as follows:
(6, r) and (3,3).
Hence the changes are given as follows:
Change in y: r - 3.Change in x: 6 - 3 = 3.Then the equation that gives the slope is of:
m = (r - 3)/3.
The slope has a numeric value of 2, hence the missing value r is obtained as follows:
2 = (r - 3)/3.
r - 3 = 6
r = 9.
Missing InformationThe points are given as follows:
(6, r) and (3,3).
The slope is of:
m = 2.
Write equivalent fractions for
2/3
and
5/12
using the least common denominator.
The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for 5/12 is (4×5)/(4×12) = 20/48.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.
The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.
We have to multiply the same number to both the numerator and denominator to get equivalent fractions.
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A 18oz pepsi for 2.00 or a 25 oz for 2.30
Answer: 25 oz for 2.30
Step-by-step explanation:
18oz Pepsi for $2.00
Take 2 divided by 18 = $0.11
25 oz for $2.30
Take 2.3 divided by 25 = $0.09
So 25 oz for 2.30 is better!
Help pls i do not understand.
Answer:help on what?
Step-by-step explanation:
Two points defining a linear function are shown in the table below.
-14
-10
O
What is the slope of the function?
223
32
y
-18
-12
2
06
The slope of as per the given points will be equal to 3/2. Hence, option B is correct.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the information given in the table,
The points are (-14, -18) and (-10, -12)
Use the equation given below to find the slope,
m = (y₂ - y₁)/(x₂ - x₁)
Substitute values in above equation,
m = (-12 - (-18))/(-10 - (-14))
m = (-12 + 18)/(-10 + 14)
m = 6/4
m = 3/2
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Given the equation 8x = 4y + 16, generate a plan to rewrite it in slope-intercept form. Which variable do you solve for?
Answer: Convert the equation to slope-intercept form by solving for the variable y. Use the properties of equality to subtract 16 from both sides, and then divide both sides by 4.
This is for future people who don't want to watch adds or have hit their daily limit, have a nice day!
The slope-intercept form of the equation 8x = 4y + 16 will be y = 2x -4.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The equation given is 8x = 4y + 16.
We must solve for y as follows;
8x = 4y + 16
4y = 8x -16
By dividing through by 4; we have;
y = 2x -16
Hence the equation for both lines will be y = x +3 and y = x+13
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to make one pan of baklava, dorothea needs 400 grams of filo pastry. if dorothea plans to make 6 pans of baklava, how many kilograms of filo pastry will she need?
Dorothea needs 2.4 kilograms of filo pastry to make on pan of baklava.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
The quantity needed of filo pastry to make one pan of baklava = 400 grams
To find the quantity of pastry to make 6 pans of baklava
Use ratio property,
1 pan of baklava needed = 400 grams
6 pans of baklava needed = 400 x 6 = 2400 grams
Since, 1000 gram = 1 kilogram
2400 gram = 2.4 kilograms
Hence, Dorothea needs 2.4 kilograms of filo pastry.
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The answers u see already answered is not right an I need help with them
Answer:
GOOD MORNING
Step-by-step explanation:
I AM SINGLE
what is the value of 3 + 4x when x =4
Answer: 19
Step-by-step explanation:
4x in this equation is equal to 4(4), which equal sixteen, adding the three will then get you 19
Answer: 19
Step-by-step explanation:
Insert 4 into the x in the equation.
3+ 4 × 4
Multiply.
4 × 4 = 16
Add.
3 + 16= 19
Hope this helps!
How do you simplify 25^(3/2)?
Answer:
I'm sure the answer is 125
Step-by-step explanation:
Hope it helps ; )
in excel, to construct a residual plot, input of a y range and an x range is needed. aimee is examining the relationship between age and square foot range (sqft) of living space. in the scenario provided, what would be the y and what would be the x range data?
For the given case, in the residual plot, the x range is for the age and the y range must be the square foot
A residual plot appears the difference between the observed response and the fitted response values. The ideal remaining plot, called the null residual plot, appears as a random scatter of focuses shaping a roughly constant width band around the identity line. It is vital to check the fit of the model and presumptions – steady change, normality, and freedom of the errors, utilizing the residual plot, alongside normal, sequence, and lag plot.We are given the information that there is a relationship between age and square foot range (sqft) of living space, so for the residual plot the y range must be for the square foot and the x range must the age
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21 divided by 13,280 
Answer: 0.0015813253
Step-by-step explanation:
is you ment to say 14,280 divided by 21 then it would be 632.380952381
