Answer:
9/40
Step-by-step explanation:
9/4 (5/6 - 11/15)
9/4 (1/10)
= 9/40
can someone help me !
Answer:
E
Step-by-step explanation:
Why do we square the residuals when using the least-squares line method to find the line of best fit?
We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).
What do you mean by Residuals?We treat both positive and negative disparities equally by squaring the residual values. We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.
We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
7/8
Step-by-step explanation:
To find: number which represents the expression
Solution:
Integers refers to natural numbers, 0 together with negative of rational numbers.
A rational number is the number of the form where p and q are integers and .
So, represents
In each of problems 5 through 11, find the general solution of the given differential equation
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function \(y(t)=e^t\) is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
\(y_1(t) = e^t\)
Given differential equations are,
y''-y = 0
So that,
\(y' (t) = e^t, y'' (t) = e^t\)
Substitute values in the given differential equation.
\(e^t -e^t=0\)
Therefore, the function \(y(t)=e^t\) is the solution of the given differential equation.
Another function;
\(y(t)=cosht\)
So that,
\(y"(t)=sinht\\\\y"(t)=cosht\)
Hence, function y(t)=cosht is solution of given differential equation.
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Evaluate the expression: 2x + 5 for x = 3
When data are classified by the type of measurement scale, which is the strongest form of measurement?
The strongest form of measurement is the ratio scale, which allows for a true zero point and mathematical operations.
When data are classified by the type of measurement scale, the strongest form of measurement is the ratio scale. The ratio scale has all the properties of the other measurement scales (nominal, ordinal, and interval), along with a true zero point and the ability to perform mathematical operations such as addition, subtraction, multiplication, and division.
This allows for meaningful comparisons of the magnitude and ratios between measurements. In comparison, the other measurement scales have fewer properties and restrictions in terms of the operations that can be performed and the level of information they provide.
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Which one of the following options is true, and why? y = 3x + 5 has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
what is the answer to number 2 at the top?
The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1
Writing an exponential function for the graph of g(x)From the question, we have the following parameters that can be used in our computation:
Parent function: y = 2^x
The graph of the transformed exponential function g(x) passes through the points (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)
So, we have the following transformation steps:
1st Transformation:
Reflect y = 2^x across the y-axis
So, we have
y = 2^-x
2nd Transformation:
Translate y = 2^-x down by 1 unit
So, we have
y = 2^-x - 1
This means that
g(x) = 2^-x - 1
Hence, the equation of the function g(x) is g(x) = 2^-x - 1
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Solve the system of equations and choose the correct ordered pair.
3x+2y= 12
6x + 3y = 21
A. (3,2)
B. (4.0)
C. (4,3)
D. 2, 3)
Answer:
(D)
Step-by-step explanation:
Solve by graphing:
Use a graphing tool to graph the lines 3x+2y= 12 and 6x + 3y = 21.
The line intercept at (2,3).
Therefore, option D is the correct answer.
Brainiest Appreciated.
An isosceles triangle has angle measures of (2x degrees) and (5x degrees). What are three possible angle measures of the triangle? Show all work.
Answer:
\(40^{\circ},\:40^{\circ},\: 100^{\circ}\)
Step-by-step explanation:
The interior angles of any triangle always add up to \(180^{\circ}\). In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:
\(2x+2x+5x=180\), where \(x\) is some constant.
Solving, we get:
\(9x=180,\\x=20\)
Therefore, plugging our constant back in, our angles are:
\(2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}\).
Note this is only one group of possible angles. We could've also set the angle represented by \(5x\) to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be \(60^{\circ}\) (equilateral).
Answer:
100, 40, 40
Step-by-step explanation:
First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.
An investigator anticipates that the proportion of red blossoms in his hybrid plants is 0.15. The sample proportion p of a random sample of 50 of his plants is to be approximately normally distributed with the mean and standard deviation of (A) μ = 0.15 and Op = 0.20 (C) μ,-0.05 and σ. 0.15 (B) μ» = 0.15 and σrho 0.05 (D) Cannot be determined.
The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.
The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.
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what does y
equal in this equation
22-16=y+16-16
Answer:
y = 6
Step-by-step explanation:
find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x^2 − 1)^3, [−1, 6].
Therefore, the absolute minimum value of f on the interval [-1, 6] is -1, and the absolute maximum value is 15625.
To find the absolute minimum and absolute maximum values of the function f(x) = (x^2 - 1)^3 on the interval [-1, 6], we need to evaluate the function at its critical points and endpoints.
First, let's find the critical points by taking the derivative of f(x) and setting it equal to zero:
f(x) = (x^2 - 1)^3
f'(x) = 3(x^2 - 1)^2 * 2x
Setting f'(x) = 0, we have:
3(x^2 - 1)^2 * 2x = 0
This equation is satisfied when x = -1, 0, and 1.
Next, we evaluate f(x) at the critical points and endpoints:
f(-1) = (-1^2 - 1)^3 = 0
f(0) = (0^2 - 1)^3 = -1
f(1) = (1^2 - 1)^3 = 0
f(6) = (6^2 - 1)^3 = 25^3 = 15625
Now we compare the function values to determine the absolute minimum and absolute maximum:
The function has an absolute minimum value of -1 at x = 0.
The function has an absolute maximum value of 15625 at x = 6.
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In football, a completion percentage is the number of completions divided by the number of passes.
A) Does Tom or lan have a higher completion percentage?
B) What is the higher completion percentage?
C) What is the difference of the two completion percentages?
(A) Ian has a higher completion percentage.
(B) Higher completion percentage = 50%
(C) Required difference = 4.55%
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100.
(A) Ian has a higher completion percentage than Tom.
(B)
Percentage completion of Tom = 10/22 * 100 = 45.45%
Percentage completion of Ian = 9/18 * 100 = 50%
Higher completion percentage = 50%
(C)
Difference = 50 - 45.45 = 4.55%
Hence, required difference = 4.55%
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2. Two newspapers are comparing sales for last year.
● The Post sold 34,859 copies.
●
The Tribune sold two-and-a-half times as
many as the Post.
Write an equation that compares the number of
newspapers sold.
Answer:
t= 2.5P
Step-by-step explanation:
tribune= 2.5 x post
In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?
is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics
Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.
Below are brief explanations of each of these terms:
Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.To know more about data forecasting, visit
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Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?
Answer:
13 inches
Step-by-step explanation:
I have done a Little draw because I don't know how i can explain you this exuse me
You are given a vector A = 135 i and an unknown vector B that is perpendicular to A. The cross-product of these two vectors is A×B = 82 k. What is the y component of vector B?
The y component of vector B can be found using the equation A×B = 82k. Since vector A = 135i, then the y component of vector B must be 82 / 135.
We know that A×B = |A||B|sinθn, where θ is the angle between A and B, and n is the unit vector perpendicular to both A and B (which points either in the positive or negative z direction).
In this problem, A = 135 i and A×B = 82 k, so we have:
|A||B|sinθn = 82 k
|A| = 135
|A×B| = 82
The magnitude of the cross-product is |A||B|sinθ, so we can solve for sinθ:
|A×B| = |A||B|sinθ
82 = 135|B|sinθ
sinθ = 82 / (135|B|)
Since we know that B is perpendicular to A, we can say that B has the form B = b j, where b is some scalar and j is the unit vector in the y direction. Then we have:
A•B = 0
135(0) + b y = 0
y = 0
But we also know that the cross-product of A and B points in the z direction, so the angle θ between A and B must be in the x-y plane (since A and B are both in the x-y plane). This means that sinθ = 1, so we have:
|A×B| = |A||B|sinθ
82 = 135|B|
|B| = 82 / 135
Therefore, the y component of vector B is:
y = b|j| = b = 0 + b j = (82 / 135) j
So the answer is y = 82 / 135.
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can someone please help me find angle ADB
The measure of the angle ADB, obtained from the relationship between the base angles of an isosceles triangle and the angle formed at the center and on the circumference of circle is; ∠ADB = 55°
What is an isosceles triangle?An isosceles triangle is a triangle that has congruent base angles.
The angle at the m∠A = 180°- (30° + 70°) = 80°
The two tangent and secant theorem indicates that the half the difference between the arcs CD and AB is; 30°, therefore;
30 = (1/2) × (AB - CD)
The congruence relationship between the segment BC and AB indicates that the base angle of the isosceles triangle ABC and the angle ACB
Therefore, the angle ACB = 55°
The angle at the center a of a circle is twice the angle formed at the circumference of a circle.
Arc AB = 2 × angle ACB = 2 × 55° = 110°
Arc CD = 110 - 2 × 30 = 50°
∠DBC = 50°/2 = 25°
∠DBA = 70° - 25° = 45°
Angle ADB = 180 - 80 - 45 = 55
Angle ADB = 55°
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(1 point) Write each of the given numbers in the form a+bi: a. (e^−4−2i)^2= ____ + ______ i, b. (1+i)^18 = ____ + ______ i,
(1+i) ^18 ≈ 4.766×10^6 - 1.632×10^7i. a. To solve (e^-4-2i) ^2, we first need to simplify e^-4-2i. Using Euler's formula, we can rewrite e^-4-2i as e^-4 * e^-2i, which is equivalent to e^-4(cos (-2) +i*sin (-2)). Simplifying further, we get e^-4(cos(2)-i*sin(2)).
Now, we can square this expression to get (e^-4(cos (2)-i*sin (2))) ^2. Using the formula (a+bi)^2 = a^2 - b^2 + 2abi, we get:
(e^-4*cos(2))^2 - (e^-4*sin(2))^2 + 2*e^-4*cos(2)*i*sin(2)
Simplifying, we get:
e^-8 - e^-8*sin^2(2) + 2*e^-4*cos(2)*i*sin(2)
This is the form a+bi, so our final answer is:
a = e^-8 - e^-8*sin^2(2) ≈ 0.0153
b = 2*e^-4*cos(2)*sin(2) ≈ -0.0565
Therefore, (e^-4-2i)^2 ≈ 0.0153 - 0.0565i.
b. To solve (1+i)^18, we can use the binomial theorem, which states that (a+b)^n = Σ(n choose k)a^(n-k)*b^k, where Σ is the sum from k=0 to n. Applying this to (1+i)^18, we get:
(18 choose 0)1^18*i^0 + (18 choose 1)1^17*i^1 + (18 choose 2)1^16*i^2 + ... + (18 choose 18)1^0*i^18
Simplifying the coefficients using the formula (n choose k) = n!/((n-k)!k!), we get:
1 + 18i - 1530 - 3060i + 18564 + 145152i - 437580 - 947736i + 1352078 + 1081664i - 587863.5 - 575784i + 203887.5 + 405528i - 88749 + 35064i - 5400 + 304i
Adding up the real and imaginary parts separately, we get:
a = 4766436 ≈ 4.766×10^6
b = -16318512 ≈ -1.632×10^7
Therefore, (1+i)^18 ≈ 4.766×10^6 - 1.632×10^7i.
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PLSS HELP ME I WILL DO ANYTHING (Not really) IM STRUGGLING IN MATH RN I CANT FAIL!!
The expressions that accurately represents the area of the entire figure are:
C: (3x)(2x) - x²
D: x(3x) + x(2x)
How to find expressions that accurately represents the area of the entire figure?To find the area of a composite figure, you can break it down into simpler shapes such as triangles, rectangles, circles, etc. and then find the area of each individual shape and add them together.
From the given information:
side length of smaller square = x
area of smaller square = x * x = x²
side length of larger square = 2 * x = 2x
area of larger square = 2x * 2x = 4x²
Total area = area of smaller square + area of larger square
Total area = x² + 4x² = 5x²
Option C:
(3x)(2x) - x² = 6x² - x² = 5x²
Option D:
x(3x) + x(2x) = 3x² + 2x² = 5x²
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Find the slope of the line that goes through the points (12,-12) and (-3,13).
slope,m=________
Enter your answer as an integer or a reduced fraction in the form A/B
Answer:
-5/3
Step-by-step explanation:
The slope of a line is found by
m = (y2-y1)/(x2-x1)
= (13- -12)/(-3 -12)
= ( 13+12) / (-15)
25/-15
-5/3
The right answer is -5/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
What is the domain of a squaring function?
The domain of a function is the set of all possible inputs for the function.
What are the domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
A domain is the set of all real numbers that a function can take as input. The range of a function is the set of all real numbers that the function can output.
Hence, the domain of a function is the set of all possible inputs for the function.
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-10 + 4(3p + 10) = 18 solve for p
Answer:
p= -1
Step-by-step explanation:
4(3p+10)=28
12p+40=28
12p=-12
p=-1
Answer:
-10 + 4(3p + 10) = 18
12p+40=18+10
12p=28-40
p=-12/12=-1
Please help me! This is due in 20 minutes and this is the last question!
Answer:
32'5"
Step-by-step explanation:
sketch the solution to each system of inequalities
The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)
SYSTEM OF INEQUALITIESThe inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.
The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.
The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.
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Please help Quickly Look At Image.
Answer:
abc- 130
ebd-130
abe-50
Step-by-step explanation:
a carnival game offers a 100 cash prize for anyone whjo can break a balloon by throwing a dart at it. find the expected winnings
a carnival game offers a 100 cash prize for anyone whjo can break a balloon by throwing a dart at it. then The expected number of darts you'll throw is 3.44 darts .
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
Expected = ∑ value * probability
= $1*0.01 + 2.(0.09) + 3(0.081) + 4(0.0729)
= 3.44
Thus, 3.44 darts .
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