PLEASE ANSWER FAST! NO LINKS!
Answer:
the first one
Step-by-step explanation:
absolute value is a number's distance from zero, so distance from zero can not possibly be negative. Therefore, |4x-2|=-6 has no solution.
Answer:
It would be the first one because there is no value of x that makes the equation be true since an absolute value can never be negative.
Step-by-step explanation:
Hope this helps:)....if don't help then sorry for wasting your time and may God bless you:)
use the geometric series to give a series for 1/1 x then differentiate your series to give a series for 1/(1 x)^2
To use the geometric series to give a series for 1/1 x, we can start with the formula for a geometric series:
S = a/(1-r)
where S is the sum of the series, a is the first term, and r is the common ratio.
In this case, we can let a = 1 and r = -1/x. Then, we have:
S = 1/(1-(-1/x)) = x/(x+1)
So, we have a series for 1/1 x:
1/1 x = x/(x+1)
To differentiate this series to give a series for \(1/(1 x)^2\), we can use the power rule for differentiation. If we let y = 1/1 x, then:
dy/dx = \(x/(x+1)^2\)
This gives us a series for \(1/(1 x)^2\):
\(1/(1 x)^2 = -x/(x+1)^2\)
Given the terms "geometric series" and "differentiate," here's the solution to your question:
To find a series for 1/(1-x), we can use a geometric series with the formula:
Sum = a * \((1 - r^n) / (1 - r)\)
In this case, the first term a is 1, and the common ratio r is x. Therefore, the geometric series becomes:
1/(1-x) = 1 * \((1 - x^n) / (1 - x) = 1 + x + x^2 + x^3 + ...\)
Now, differentiate the series term by term to find the series for \(/(1-x)^2\):
d(1)/(dx) = 0, \(d(x^n)/(dx) = nx^(n-1)\)
The differentiated series is:
\(0 + 1 + 2x + 3x^2 + 4x^3 + ...\)
This is the series for \(1/(1-x)^2\), as requested.
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a student has a class that is supposed to end at 9:00am and another that is supposed to begin at 9:15am. suppose the actual ending time of the 9am class is normally distributed random variable (x1) with a mean of 9:02 and a standard deviation of 2.5 minutes and that the starting time of the next class is also a normally distributed random variable (x2) with a mean of 9:15 and a standard deviation of 3 minutes. suppose also that the time necessary to get from one class to another is also a normally distributed random variable (x3) with a mean of 10 minutes and a standard deviation of 2.5 minutes. what is the probability that the student makes it to the second class before the second lecture starts? (hint: assume x1, x2 and x3 are independent also think linear combinations)
The probability that the student makes it to the second class before it starts is very close to 0.
To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.
Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.
The mean of X is the sum of the means of X1, X2, and X3:
μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.
The variance of X is the sum of the variances of X1, X2, and X3:
σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.
Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.
Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.
Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.
Therefore, the probability that the student makes it to the second class before it starts is very close to 0.
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Can you like show the work too please and thank you!!!
Answer:
area = 288.62 mm²
Step-by-step explanation:
To find the area we divide the complex shape into simple shapes whose areas we can find.
There is a rectangle in the center.
There are 2 congruent triangles on the sides.
We have the lengths of 2 perpendicular sides of the triangles, so they are the base and height.
For the rectangle, we only have the width. We need to find the length.
The length of the rectangle is the hypotenuse of the triangles.
We use the Pythagorean theorem to find the length of the hypotenuse of the right triangle. That is the length of the rectangle.
a² + b² = c²
(10.4 mm)² + (15.3 mm)² = c²
c² = 342.25 mm²
c = 18.5 mm
area = area of triangles + area of rectangle
area = 2 × (1/2)bh + LW
area = 2 × (1/2) × 15.3 mm × 10.4 mm + 18.5 mm × 7 mm
area = 159.12 mm² + 129.5 mm²
area = 288.62 mm²
write an equivalent expression by applying the distributive property (x-5)^2
Answer:
x^2 - 10x + 25
Step-by-step explanation:
Hope it helps.
I need help with this
Answer:
Set your calculator to degree mode.
x/sin(34°) = 21/sin(71°)
x = 21sin(34°)/sin(71°) = about 12.42
Pls help this is due rn!
Which phrase represents this expression?
5 + 4 ÷ 2
the sum of 5 and 4 is divided by 2
the product of 5 and 4 is divided by 2
the sum of 5 and the quotient of 4 and 2
the product of 5 and the quotient of 4 and 2
The required answer would be the sum of 5, and 4 is divided by 2 as per the PEMDAS rule which is the correct answer would be option (A)
What is the PEMDAS rule?PEMDAS rule states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.
We have been given that expression as
⇒ 5 + 4 ÷ 2
As per the PEMDAS rule,
We have to apply the division operation to terms 4 and 2,
⇒ 5 + 4 /2
⇒ 5 + 2
Apply the addition operation, and we get
⇒ 7
Therefore, the required answer would be the sum of 5, and 4 is divided by 2.
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Suppose you are given the following simple dataset: ( 30 points) a) Regress Y on X, calculate the OLS estimates of coefficients β
^
0
and β
^
1
. ( 6 points) b) Calculate the predicted value of Y for each observation. c) Calculate the residual for each observation. d) Calculate ESS, TSS and RSS separately. e) Calculate R 2
. f) What is the predicted value of y if x= the last digit of your cuny id +1 ? ( 3 points) g) Interpret β
^
0
and β
^
1
.
In summary, given a simple dataset with 30 points, the following steps were performed: (a) OLS estimation was used to calculate the coefficients β^0 and β^1 for the regression of Y on X.
(b) the predicted value of Y was calculated for each observation; (c) the residuals were calculated for each observation; (d) the Explained Sum of Squares (ESS), Total Sum of Squares (TSS), and Residual Sum of Squares (RSS) were calculated separately; (e) the coefficient of determination R^2 was calculated; (f) the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one; and (g) the interpretation of β^0 and β^1 was provided.
In detail, to calculate the OLS estimates of coefficients β^0 and β^1, a regression model of Y on X was fitted using the given dataset. β^0 represents the intercept term, which indicates the value of Y when X is zero. β^1 represents the slope of the regression line, indicating the change in Y corresponding to a unit change in X.
The predicted value of Y for each observation was obtained by plugging the corresponding X value into the regression equation. The residuals were then calculated as the difference between the observed Y values and the predicted Y values. ESS represents the sum of squared differences between the predicted Y values and the mean of Y, indicating the variation explained by the regression model.
TSS represents the total sum of squared differences between the observed Y values and the mean of Y, representing the total variation in Y. RSS represents the sum of squared residuals, indicating the unexplained variation in Y by the regression model. R^2, also known as the coefficient of determination, was calculated as ESS divided by TSS, indicating the proportion of total variation in Y explained by the regression model. Finally, the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one, allowing for an estimation of Y based on the given information.
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What is a Type II Error?
A Type II Error, also known as a "false negative," is a statistical term used in hypothesis testing. In hypothesis testing, we start with two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha).
The goal of hypothesis testing is to determine which hypothesis is more likely to be true given the data. A Type II Error occurs when we fail to reject the null hypothesis when it is actually false. In other words, we incorrectly conclude that the null hypothesis is true when it is actually false.
For example, consider a medical test for a certain disease. The null hypothesis is that the patient does not have the disease, and the alternative hypothesis is that the patient does have the disease.
If the test results are negative (i.e., the patient does not have the disease), and the patient actually does have the disease, then we have made a Type II Error.
The probability of making a Type II Error is represented by the Greek letter β (beta). A common goal in hypothesis testing is to keep the probability of making a Type II Error as low as possible, while also keeping the probability of making a Type I Error (false positive) low as well.
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3x to the power of 2 +6x=0 what is the degree of this polynomial?
Answer:
\(\huge\boxed{2}\)
Step-by-step explanation:
Given Polynomial is:
\(3x^2 + 6x = 0\)
Degree of polynomial is the highest power on the variable.
Here 2 is the highest power on the variable, So, it is the degree of polynomial.
Describe the TRANSFORMATIONS below. * f(x)= (x-6)²+4
Answer:
Move right 6 units and up 4 units
Step-by-step explanation:
Quadratic Equation: f(x) = a(bx - h)² + k
a = vertical stretch/shrink
b = horizontal stretch/shrink
h = horizontal movement left/right
k = vertical movement up/down
What is the value of f(x) = 3x -12 for anx = 9
Answer:
15
Step-by-step explanation:
f(x) = 3x -12 for x = 9
f(9) = 3(9) -12
27-12
15
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the product. Write your answer as a mixed number in simplest form.
5 × 2 =
=
Answer:
667/45 or 14 37/45
Step-by-step explanation:
you have to convert 5 4/5 x 2 5/9 then you multiply those numbers but simply them which would be 29/5 x 23/9 then you get 667/45 or 14 37/45 as an alternative form
hope this helps
Can someone please help
Answer:
3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(k-5)/(2-1)
m=(k-5)/1
m=k-5
k-5=3
k=3+5
k=8
----------------------
5) y=mx+b where m=slope and b=y-intercept.
The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to...a) .1056b) .1151c) .1600d) .8849e) .8944
The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to a. a is 0.1056.
The proportion of scores in a standard Normal Distribution that are greater than 1.25 is:
\(P(Z > 1.25) = 1 - P(Z < 1.25)\)
Using a standard normal distribution table or a calculator.
The area to the left of 1.25 is 0.8944, so:
\(P(Z > 1.25) = 1 - P(Z < 1.25) = 1 - 0.8944 = 0.1056\)
The closest answer choice is (a) 0.1056.
The percentage of scores in a normal distribution with a standard deviation larger than 1.25 is:
either a calculator or a normal distribution standard table.
0.8944 is the region to the left of 1.25, so:
The nearest possible response is (a) 0.1056.
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what is affected by acceleration
Answer:
Pretty much everything, my dude
Step-by-step explanation:
May I have brainliest please? :)
Evaluate x+y^2(2+x) if x=3 and y= -1
Answer:
you fine
Step-by-step explanation:
What is the length of C D on a grid, C is (-5, 5) and D is (4, -2), to the nearest tenth? Iready Help ASAP
Answer:
11.4
Step-by-step explanation:
You want the distance between C(-5, 5) and D(4, -2).
DistanceThe distance formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, the distance is computed to be ...
d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130
d ≈ 11.4
The length of CD is about 11.4 units.
__
Additional comment
The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.
f two lines are perpendicular and one line goes through the points (2, 3) and (3, 2), what is the slope of the other line?
a right rectangular prism 3 in by 4.25 in by 18.25 in what is the total surface area of the prism
The total surface area of the prism will be 290.125 Square units.
What is a surface area of a rectangular prism?The surface area of a rectangular prism is the measure of how much-exposed area a prism has. Surface area is expressed in square units.
The surface area of a rectangular prism is given by:
SA = 2 (lh +wh + lw )
where
l = 3
w = 4.25
h = 18.25
SA = 2 (3x18.25 + 4.25x18.25 + 3x4.25)
SA = 2 (54.75 + 77.5625 + 12.75)
SA = 2 (146.0625)
SA = 290.125 square units
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Question 22 11 pts A C D B What is the Page Rank of node B after 2 iterations (So, after 2 updates of the initial score)? Remember, PR (x) = (1 – d) +dEye Ol -, where d=0.9 and Oly) is the number of outgoing links from y. Question 23 9 pts A C D B What are the authoritativeness and hubness scores for node A in the very beginning of the calculation of those scores? Remember: a (x) = Eyrah (y) and h (x) = Ezya (y) Question 24 9 pts A С D B What is the hubness score of node D after 2 iterations (so, after 2 updates of the initial score)? Remember: a (2x) = {y-zh(y) and h (x) = {x^ya (y)
For Question 22:
To calculate the Page Rank of node B after 2 iterations, we need to use the formula:
PR(x) = (1-d) + d(Σ PR(y)/O(y))
where PR(y) is the Page Rank of node y and O(y) is the number of outgoing links from node y.
After the first iteration, the Page Rank of each node is:
PR(A) = 0.16, PR(B) = 0.29, PR(C) = 0.26, PR(D) = 0.29
So, for node B:
PR(B) = (1-0.9) + 0.9((PR(A)/1) + (PR(C)/2) + (PR(D)/1))
= 0.1 + 0.9(0.16/1 + 0.26/2 + 0.29/1)
= 0.1 + 0.9(0.16 + 0.13 + 0.29)
= 0.1 + 0.9(0.58)
= 0.52
After the second iteration, we need to use the updated Page Rank values to calculate the new values. So, after the first iteration, the Page Rank of each node is:
PR(A) = 0.11, PR(B) = 0.52, PR(C) = 0.28, PR(D) = 0.29
So, for node B:
PR(B) = (1-0.9) + 0.9((PR(A)/1) + (PR(C)/2) + (PR(D)/1))
= 0.1 + 0.9(0.11/1 + 0.28/2 + 0.29/1)
= 0.1 + 0.9(0.11 + 0.14 + 0.29)
= 0.1 + 0.9(0.54)
= 0.55
Therefore, the Page Rank of node B after 2 iterations is 0.55.
For Question 23:
To calculate the authoritativeness and hubness scores for node A, we need to use the formulas:
a(x) = Σh(y) and h(x) = Σa(y)
where h(y) is the hubness score of node y and a(y) is the authoritativeness score of node y.
In the very beginning, all nodes have an equal score of 1. So, for node A:
a(A) = h(A) = 1
Therefore, the authoritativeness and hubness scores for node A in the very beginning are both 1.
For Question 24:
To calculate the hubness score of node D after 2 iterations, we need to use the formula:
h(x) = Σa(y)*z(y,x)
where a(y) is the authoritativeness score of node y and z(y,x) is 1 if there is a link from node y to node x, otherwise it is 0.
After the first iteration, the authoritativeness scores are:
a(A) = 0.11, a(B) = 0.52, a(C) = 0.28, a(D) = 0.09
And the hubness scores are:
h(A) = 0.11, h(B) = 0.28, h(C) = 0.52, h(D) = 0.09
So, for node D:
h(D) = (a(A)*z(A,D)) + (a(B)*z(B,D)) + (a(C)*z(C,D)) + (a(D)*z(D,D))
= (0.11*0) + (0.52*1) + (0.28*0) + (0.09*1)
= 0.61
After the second iteration, the updated authoritativeness scores are:
a(A) = 0.07, a(B) = 0.38, a(C) = 0.27, a(D) = 0.28
And the updated hubness scores are:
h(A) = 0.07, h(B) = 0.29, h(C) = 0.45, h(D) = 0.19
So, for node D:
h(D) = (a(A)*z(A,D)) + (a(B)*z(B,D)) + (a(C)*z(C,D)) + (a(D)*z(D,D))
= (0.07*0) + (0.38*1) + (0.27*0) + (0.28*1)
= 0.66
Therefore, the hubness score of node D after 2 iterations is 0.66.
Question 22:
For the Page Rank of node B after 2 iterations, we use the formula: PR(x) = (1-d) + d * Σ(PR(y)/O(y)), where d=0.9, and O(y) is the number of outgoing links from y.
Without knowing the specific network structure and initial Page Rank values, I cannot provide the exact Page Rank for node B after 2 iterations.
Question 23:
In the beginning, the authoritativeness (a) and hubness (h) scores for node A are initialized. Generally, they are initialized as 1 for each node.
So, for node A:
a(A) = 1
h(A) = 1
Question 24:
For the hubness score of node D after 2 iterations, we need to update the initial hubness score twice using the formula: h(x) = Σ(a(y)), where x has a link to y.
Similar to Question 22, without knowing the specific network structure and initial authoritativeness values, I cannot provide the exact hubness score for node D after 2 iterations.
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Worth 50 points and brainliest for anyone who answer this correctly(with solution ofc)
MEAN: =29.42
THE MEDIAN:
\((29 + 36) \times \frac{1}{2} = 32.5\)
that's my answer hope it helps
Answer:
46878954575
Step-by-step explanation:
Abduls bill at a restaurant is $28.65. He wants to leave and 18% tip for the waiter.what is the total amount abdul should leave? round to the nearest cent.
Answer:
I believe it will be 5.16.
Step-by-step explanation:
18% of 28.65 is 5.157, but rounded to the nearest cent will be 5.16. So 5.16 will be your answer. If this is wrong forgive me :3
Find the value of d.
d
0.
e
75°
194°
Answer: C
Step-by-step explanation:
\(75=\frac{d+94}{2}\\ \\ 150=d+94 \\ \\ d=56\)
a pool is being built in a new student rec center at falcon community college. the pool is designed to be a by rectangle, and the deck around the pool is going to be lined with slate tiles that are squares. how many tiles are needed? (this is not quite as easy as it seems at first...)
The area of each tile is 1 sq ft, No of tiles required is 176 sq ft /1 sq ft = 176
What is the area of the rectangle?
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.
Here, we have
Given: The pool is designed to be a 60 ft by 26 ft rectangle, and the deck around the pool is going to be lined with slate tiles that are 1 ft squares.
We have to find out how many tiles are needed.
The internal Length of the rectangle is 60ft
Internal Breadth of the rectangle is 26 ft
External Length of the rectangle is 60+ 2*1 = 62ft
External Breadth of the rectangle is 26+ 2*1 = 28ft
Area of the deck to be tiled = Outer Area - Inner area
= (62×28 ) - (60×26)
= 1736 - 1560
= 176 Sq ft
Hence, the area of each tile is 1 sq ft, No of tiles required is 176 sq ft /1 sq ft = 176
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Can anyone help me with where to put the arrows ?
I would like somebody to explain how to solve this. i know the answer is 2 3/8, but i don't know how to solve an equation such as this. I'm studying for final exams and need to know how this works, so please help me out.
Answer:
= 2^(3·1/4·1/2) = 2^(3/8)
Step-by-step explanation:
You want to simplify ...
\(\sqrt{\sqrt[4]{8}}\)
Exponent rulesThe useful rules of exponents are ...
\(\sqrt[n]{a}=a^{\frac{1}{n}}\\\\(a^b)^c=a^{bc}\)
RewriteRecognizing 8 = 2³, you can use fractional exponents to represent the roots, then simplify the exponent of the result.
\(\sqrt{\sqrt[4]{8}} = ((2^3)^{\frac{1}{4}})^{\frac{1}{2}}=2^{3\cdot\frac{1}{4}\cdot\frac{1}{2}}=2^{\frac{3}{4\cdot2}}=\boxed{2^{\frac{3}{8}}}\)
__
Additional comment
In plain text, this is written 2^(3/8). Both the caret and the parentheses are required.
Which of the following pairs of equations has (5, 3) as a solution?
Answer:
the last one .
Step-by-step explanation:
like my answer and brainliest please
5x2-3^2 / [3^2-(-2)]^2
The solution to the equation "5*2-3^2 / (3^2-(-2))^2" after solving it is 1/121
How do we solve the equation?To solve the equation 5*2-3^2 / (3^2-(-2))^2, we need to simplify the numerator and the denominator. This will give us this:
5*2-3^2 / (3^2-(-2))^2 =
= 10 - 9 / (9 - (-2))^2
Simplify further to make the number reduced
10 - 9 / (9 - (-2))^2
After the subtraction at the numerator level, the denominator figures have two minus signs which becomes a plus. As a result, we realize the value below
= 1 / (11)^2
In order to remove the bracket in the denominator, it implies that the number in bracket will be multiplied by itself since it is in the superscript of 2 which means 11 multiply by 11 or (11 x 11)
= 1/121
Therefore, to solve the equation 5*2-3^2 / (3^2-(-2))^2, one needs to simplify the equation and do the subtraction and addition from the numerator and the denominator respectively to realize the answer which is 1/121
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Answer: 1/121
Step-by-step explanation:
( 5 * 2 - 3^2 )/[ 3^2 - (-2)] ^ 2
= (10 - 9)/(9+2)^2
= 1 / 11^2
= 1/121
Use the graph, which shows the profit,y, in thousands of dollars, of a company in a given year, t, where t represents the number of years since 1980.linear graph with negative slope with points (15,150) and (25,130)Find the linear function y, where y depends on t, the number of years since 1980. Type your function in slope intercept form (y=mx+b) without any commas or spaces and be sure to use a lowercase t for your variable.The linear function is y=Answer
First, locate any two point from the line.
(15, 150) and (25, 130)
x₁ = 15 y₁= 150
x₂ = 25 y₂ = 130
\(\text{Slope(m)}=\frac{130-150}{25-15}\)\(=\frac{-20}{10}\)\(=-2\)Next, is to find the intercept.
Substitute x=15 y=150 and m=-2 into y=mx + b and solve for b
That is;
150 = 15(-2) + b
150 = -30 + b
Add 30 to both-side of he equation
150 + 30 = b
180 = b
Form the equation by substituting m=-2 and b=180 into y=mx + b
y = -2x + 180
Hence, the line function is y = -2x + 180