Let f be a given function. A graphical interpretation of the 2-point backward difference formula for approximating f'(x) is the slope of the line joining the points of abscissas xo - h and X, with h > 0. False True
Answers
A graphical interpretation of the 2-point backward difference formula for approximating f'(x) is the slope of the line joining the points of abscissas xo - h and X, with h > 0 is False
The 2-point backward difference formula for approximating f'(x) is given by:
f'(x) ≈ (f(x) - f(x - h)) / h
In this formula, the slope is calculated using the values of f(x) and f(x - h) at two points: x and x - h. The graphical interpretation of this formula involves finding the slope of the line passing through these two points.
However, the given statement states that the line is joining the points of abscissas xo - h and X, with h > 0. This implies that the line is connecting a fixed point xo - h to a variable point X. This interpretation does not align with the 2-point backward difference formula.
Therefore, the statement is false.
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Related Questions
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -18
Answers
Answer:
y = -5x-9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
10x + 2y = -18
Subtract 10x from each side
10x + 2y-10x =-10x -18
2y = -10x-18
Divide each side by 2
2y/2 = -10x/2 -18/2
y = -5x-9
If the experiment called for the temperature of the liquid to change by -3\4°c each hour, what would the temperature be at noon? Explain.
Answers
The temperature of the liquid at noon would be of:
-2.25ºC.
What is the linear function?The linear function in this problem is defined in the slope-intercept format, as follows
y = mx + b.
In which the coefficients of the function are given as follows:
m is the slope, representing the rate of change of the temperature.b is the y-intercept, representing the initial temperature.The values of these coefficients are given as follows:
m = -3/4, b = 0.
Then the function that gives the temperature in x hours after 9 A.M. is of:
y = -3/4x.
Noon is three hours after 9 A.M., hence the estimate is given as follows:
y = -3/4(3) = -9/4 = -2.25ºC.
Missing InformationThe problem states that the initial temperature is of 0ºC at 9 A.M.
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Researchers in Japan conducted an experiment on 13 individuals who were extremely allergic to poison ivy. On one arm, each subject was rubbed with a poison ivy leaf and told the leaf was harmless. On the other arm, each subject was rubbed with a harmless leaf and told it was poison ivy. All the subjects developed a rash on the arm where the harmless leaf was rubbed. Of the 13 subjects, 11 did not have any reaction to the real poison ivy leaf.
(a) What was the placebo in this experiment?
(b) Explain how the results of this study support the idea of a placebo effect.
Answers
a) The harmless leaf was the placebo in the experiment
b) Even the subjects that were just rubbed with a harmless leaf also developed rashes.
What is the Placebo?We know that the term Placebo has to with a treatment where a person is given a treatment in which he is convinced that it has properties which it in fact des not have. This experiment thus appeals to the psychology and the emotions of the individual subjects that participated in the experiment.
The Placebo in the experiment that has just been described above is the harmless leaf. The fact that all the subjects developed a rash on the arm where the harmless leaf was rubbed indicates that the placebo effect is real.
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prime factorisation of 28 and 35
Answers
Answer:
Prime factorization of 28 and 35 is (2 × 2 × 7) and (5 × 7) respectively. As visible, 28 and 35 have only one common prime factor i.e. 7.
Which one of the following correctly describes a type ll error?
A. The null hypothesis is rejected in error.
B. The research hypothesis is rejected in error.
C. The study was underpowered.
D. The study was not double-blinded.
E. The research hypothesis is accepted in error.
Answers
The correct answer is A. The null hypothesis is rejected in error.
In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.
In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.
It is a false negative result, as the researcher fails to detect a true effect or relationship.
Option A accurately describes Type II error, while the other options are not related to Type II error.
Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.
Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.
Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.
Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.
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Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir bracelets, which are $3.25 each. All prices include taxes.
Answers
Answer:
3.25 <26.50 (put a line under the < sign please Ok)
0mar can buy 8 bracelets
Step-by-step explanation:
40.00 -13.50 (for hat)
=26.50 remaining
each bracelet cost 3.25
let x be the bracelets
3.25x < 26.50 (put a line under the < sign ok )
divide both sides by 3,25
3.25x /3.25 < 26.50 /3.25 (put line under the < sign)
x = 8.15 Bracelets cant be in decimal form so round to the nearest whole number x < 8 (put a line under the < sign)
Therefor Omar can buy 8 bracelets
Round 862 liters
to the nearest 10
liters.
Answers
What is the tangent ratio of angle y?
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Using Trigonometry :
\( \tan(y) = \dfrac{20}{21} \)\(\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}\)
\(\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}\)
\(\\ \rm\Rrightarrow tany=\dfrac{20}{21}\)
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answers
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
a fisherman attaches 9 hooks to his line. every time he casts the line, each hook will be swallowed by a fish with probability independent of whether any other hook is swallowed. define to be the number of fish that are hooked on a single cast of the line. (a) is a random variable. that is, identify the type of random variable and its parameter(s). (b) what is the probability of catching 9 fish on a single cast of the line? (c) what is the probability of catching or fish on a single cast? (d) now suppose the fisherman wants to catch at least one fish on each cast with % probability. what is the smallest number of hooks that achieves his goal? note that your answer must be an integer .
Answers
a) The random variable is the number of fish caught in a single cast of the line and and the parameter is the probability of hooking a fish with a single hook
b) The probability of catching 9 fish on a single cast of the line is:
P(X=9) = p^9
c) The probability of catching at least one fish on a single cast is
1 - (1-p)^9
d) The smallest value of n that satisfies this condition is:
n = ⌈log(1-p/100) / log(1-p)⌉
(a) The random variable is the number of fish caught in a single cast of the line, denoted by X. This is a discrete random variable, taking values from 0 to 9. The parameter is the probability of hooking a fish with a single hook, denoted by p.
(b) The probability of catching 9 fish on a single cast of the line is:
P(X=9) = p^9
This is because each hook has a probability of p of catching a fish, and since the events are independent, the probability of all 9 hooks catching a fish is simply the product of their individual probabilities.
(c) The probability of catching at least one fish on a single cast is:
P(X ≥ 1) = 1 - P(X=0)
= 1 - (1-p)^9
This is because the probability of not catching any fish is the complement of the probability of catching at least one fish.
(d) Let n be the number of hooks needed to catch at least one fish on each cast with probability p%. We need to find the smallest value of n that satisfies this condition. Using the complement rule, the probability of not catching a fish with n hooks is:
P(X = 0) = (1-p)^n
So the probability of catching at least one fish is:
P(X ≥ 1) = 1 - (1-p)^n
We want this probability to be at least p%, so we have:
1 - (1-p)^n ≥ p/100
Simplifying, we get:
(1-p)^n ≤ 1 - p/100
Taking the logarithm of both sides, we get:
n log(1-p) ≤ log(1-p/100)
Dividing by log(1-p), we get:
n ≥ log(1-p/100) / log(1-p)
So the smallest value of n that satisfies this condition is:
n = ⌈log(1-p/100) / log(1-p)⌉, where ⌈x⌉ denotes the smallest integer greater than or equal to x.
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Yolanda's Yoga offers a membership for $30 to join and $5 for each class you attend.
Yeves' Yoga does not have a membership plan
and the charged $8 for
each class you attend.
How many classes must you attend for the cost of both yoga studios to be the same?
Answers
you can go to 3 classes at Yeves' Yoga for the same price of the membership at Yolanda's, or you can go to 2 classes at Yolanda's Yoga for a little over one class at Yeves' Yoga
The stem and leaf plot shows the number of items in each of the 12 collections in a museum.
stem leaf
0
3
3
3
5
7
9
1
2
2
3
3
3
2
6.
3
9
Key: 2 6 represents a collection with 26 items in it.
Here is the five-number summary for these data:
Five-number summary
min Qi median Q max
3
6
12
13
39
According to the 1.5. IQR rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
0
1
2
3
Answers
Outliers are data elements that are relatively far from the other data elements.
There are 2 high outliers in the data set.
The five number summary is given as:
\(\mathbf{Minimum=3}\)
\(\mathbf{Q_1=6}\)
\(\mathbf{Median=12}\)
\(\mathbf{Q_3=13}\)
\(\mathbf{Maximum=39}\)
The lower outlier is:
\(\mathbf{L = Q_1 - 1.5 \times (Q_3 - Q_1)}\)
So, we have:
\(\mathbf{L = 6- 1.5 \times (13 - 6)}\)
\(\mathbf{L = -4.5}\)
The upper outlier is:
\(\mathbf{U = Q_3 + 1.5 \times (Q_3 - Q_1)}\)
So, we have:
\(\mathbf{U = 13 + 1.5 \times (13 - 6)}\)
\(\mathbf{U = 23.5}\)
The above computation means that;
Data less than -4.5 or greater than 23.5 are outliers
The data elements in this range are: 26 and 39
Hence, there are 2 high outliers in the dataset
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Linda ate lunch at a deli she ordered a turkey sandwich and a salad for $13.60 the tax was six. 5% what was the total amount Linda paid for her lunch
Answers
Thomas receives an additional 10% discount on all merchandise at the store where he works. He is buying $430 flat-screen tv that is on sale at 33% off. Find Thomas's price for the flat screen tv
Answers
The selling price for the flat-screen TV for Thomas is $245.1. Here the total percentage of discount for him is 43%.
How to calculate the selling price with a percentage of discount?The formula for finding the selling price with a percentage of discount is
Selling price = Original price - original price × discount (in decimal)
Calculation:It is given that,
Thomas receives a discount for flat screen tv on a sale = 33%
He also receives an additional discount on all merchandise at the store where he works = 10%
The original price of the TV is $430.
So, the total discount percentage = 33% + 10% = 43% = 0.43 (in decimal)
Then, the selling price of the tv for him is,
Selling price = Original price - original price × discount (in decimal)
= $430 - $430 × 0.43
= $430 - $184.9
= $245.1
Therefore, Thomas's selling price for the flat-screen tv is $245.1.
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How much interest will $1,200 earn over 10 years with 5% interest compounded annually?
A. $600
B. $679.88
C. $754.67
D. $1954.67
Answers
Answer:
$600
Step-by-step explanation:
1,200 · 0.05 = 60
60 · 10 = 600
im cant figure out how to do this one ((-3)^2)^-3
Answers
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
please help hghjhghjjgfhjjjfhgfhbfhgkfgh
Answers
Answer:
Hello there! I would say the answer is C,
Step-by-step explanation:
I hope this helps!!!
here is a rectangular prism.
work out the volume and round to 3 significant figures.
7.2cm,8.4cm,18cm
Answers
The volume is 1088.64 cm^2 of a rectangular prism with 7.2cm,8.4cm,18cm.
What is volume?
In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
a rectangular prism with 7.2cm,8.4cm,18cm
we know,
the volume is
V= l.b.w
here,
l= 7.2 cm
b= 8.4 cm
w= 18cm
i.e. V= 1088.64 cm^2
Hence, The volume is 1088.64 cm^2 of a rectangular prism with 7.2cm,8.4cm,18cm.
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3/4x × 12/11 ÷ 3x/22
Answers
Answer:
242/48
Step-by-step explanation:
Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Answers
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
Find the area of the right triangle.
Be sure to include the correct unit in your answer.
Answers
Answer:
the area of the triangle is 187.5cm^2
Step-by-step explanation:
1/2 × b × h
1/2 × 15 × 25
A = 187.5 cm^2
It is estimated that a driver takes, on average, 1.2 seconds from seeing on obstacle to react by applying the brakes to stop or swerving. How far will a car, moving at 34 miles per hour in a residential neighborhood, travel (in feet) before a driver reacts to an obtacle
Answers
To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.
We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:
d = v x t
where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:
d = 49.86678 x 1.2 = 59.84014 feet
Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.
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Line g has a slope of–7/3. Line
h is parallel to line g. What
is the slope of line
h?
Answers
Answer:
-7/3
Step-by-step explanation:
Since the lines are parallel, the slopes would have to be the same
Please help 20 pointssssss
Answers
Which of the following is an integer?
10.5
-9
XandY
1/2
Answers
Answer:
-9
Step-by-step explanation:
an integer is a whole number!
Solve using long division
(12y^4-5y^2+y+7) ÷ (3y^2-2)
Please show steps at least a little please and thank you sm
Answers
Answer:
Ill be back let me solve it
Step-by-step explanation:
SOMEONE PLEASE PLEASE HELP ME WITH THIS THANK YOU
You can transform ⨀Z to ⨀Z' by translating it and then performing a dilation centered at Z'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
EXPLANATION = BRAINLIEST
Answers
Answer and Step-by-step explanation:
Scale factor of 4
x, y: (3, 10)
Translate 3 units right, up 10 units.
#teamtrese #PAW (Plant aNd Water)
:
-If one dozen bagels cost $22.74 and fifteen bagels cost $27, find the unit cost and determine which is the better buy.
Answers
Answer:
Step-by-step explanation: For the first option, one bagel costs $1.90, and for the second option, one bagel costs $1.80, so the second option is the better buy. First option: 22.74÷12=1.895 Second option: 27÷15=1.8
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Jacob kept track of the number of hours that he spent playing soccer each week for several weeks he spent 3, 6, 7, 8, and 11 hours. What is the range of the data set?
Answers
Answer:
8
Step-by-step explanation:
The range of the data set is determined by the maximum - minimum.
The max value is 11
The min value is 3
11-3=8
The range of the data set is 8.
Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?
Answers
The values of r and s is -1 and -4 respectively.
Given that:-
coordinates of j are (-8,-5)
coordinates of l are (6,-11)
coordinates of k are (r-4,2s)
Also, k is the mid-point of jl.
We have to find the values of r and s.
We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).
Here,
(x,y) = (-8.-5)
(z,w) = (6,-11)
(r-4,2s) = ((x+z)/2,(y+w)/2)
Hence,
(r-4,2s) = ((-8+6)/2,(-5-11)/2)
(r-4,2s) = (-1,-8)
Comparing the coordinates, we get:-
r - 4 = -1
r = -1+4 =3
2s = -8
s =-8/2 = -4
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