Answers
Answer:
Step-by-step explanation:
i thinks its c
Related Questions
In a _______ , _______, not all members of a population have an equal probability of being included?
In an _______, _______, all members of the population have an equal probability of being included.
Some associations are stronger than others, what describes the strength of the association?
A) Effect Size B) Bivariate correlations C) Correlational Samples D) None of the Above
Curvilinear association is one in which the correlation coefficient is zero (or close to zero) and the relationship between two variables isn't a straight line? True/ False
Answers
In a nonprobability sampling, not all members of a population have an equal probability of being included.
In a probability sampling, all members of the population have an equal probability of being included.
The strength of the association is described by the effect size.
Curvilinear association is one in which the correlation coefficient is zero (or close to zero) and the relationship between two variables isn't a straight line. False.
In nonprobability sampling, the selection of individuals from the population is not based on random sampling principles. This means that not all members of the population have an equal probability of being included in the sample.
In probability sampling, every member of the population has an equal and known chance of being selected for the sample. Random sampling methods, such as simple random sampling, stratified random sampling, and cluster sampling, are commonly used to achieve this. In probability sampling, the sample is representative of the population, and statistical inferences can be made.
The strength of the association between two variables is typically measured by the effect size. Effect size quantifies the magnitude or magnitude of the relationship between variables and provides an indication of the practical or substantive significance of the association.
Curvilinear association refers to a relationship between two variables that cannot be adequately described by a straight line. In such cases, the correlation coefficient between the variables may be zero or close to zero, indicating no linear relationship.
Nonprobability sampling involves selecting individuals without an equal probability of inclusion, while probability sampling ensures that all members of the population have an equal chance of being included. The strength of the association between variables is described by the effect size, and a curvilinear association indicates a non-straight line relationship between variables.
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Graph the following system of equations. 2x + 4y = 8 2x + 6y = 18 What is the solution to the system? There is no solution. There is one unique solution, (−6, 5). There is one unique solution, (−4, 4). There are infinitely many solutions.
Answers
The solution to the system is Option B. There is one unique solution, (−6, 5).
Given system of equations are:2x + 4y = 8 2x + 6y = 18
To graph the given system of equations, we can first convert them into slope intercept form as:y = -x/2 + 2y = -x/3 + 3
To convert 2x + 4y = 8 into slope intercept form, we can isolate y as follows:2x + 4y = 8 4y = -2x + 8 y = -x/2 + 2.
To convert 2x + 6y = 18 into slope intercept form, we can isolate y as follows:2x + 6y = 18 6y = -2x + 18 y = -x/3 + 3
Now we can plot these two lines on a coordinate plane and find the point of intersection to determine the solution to the system.
The graph of the given system of equations is as follows:From the graph, we can see that the two lines intersect at the point (-6, 5).
Therefore, the solution to the system is one unique solution, (-6, 5).Option B is correct.
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The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.95 ounces and a standard deviation of 0.2 ounces. Suppose that you draw a random sample of 42 cans.
Part i) Suppose the number of cans drawn is doubled. How will the standard deviation of sample mean weight change?
A. It will decrease by a factor of 2.
B. It will increase by a factor of 2.
C. It will decrease by a factor of 2.
D. It will increase by a factor of 2.
E. It will remain unchanged.
Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change?
A. It will increase by a factor of 2.
B. It will decrease by a factor of 2.
C. It will increase by a factor of 2.
D. It will decrease by a factor of 2.
E. It will remain unchanged.
Part iii) Consider the statement: 'The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal.'
A. It is an incorrect statement. The distribution of the mean weight of the sample is not Normal.
B. It is a correct statement, but it is not a result of the Central Limit Theorem.
C. It is a correct statement, and it is a result of the Central Limit Theorem.
Answers
i) The standard deviation decrease by a factor of 2. ii) The mean of the sample mean weight will remain unchanged. iii) The statement "The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal" is a correct statement and is a result of the Central Limit Theorem.
i) When the number of cans drawn is doubled, the standard deviation of the sample mean weight will decrease by a factor of 2. According to the Central Limit Theorem, as the sample size increases, the standard deviation of the sample mean decreases.
ii) The mean of the sample mean weight will remain unchanged when the number of cans drawn is doubled. The sample mean is an unbiased estimator of the population mean, and increasing the sample size does not affect the true population mean.
iii) The statement "The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal" is a correct statement and is a result of the Central Limit Theorem. The Central Limit Theorem states that when independent random variables are added, regardless of their individual distributions, the distribution of their sum tends to be approximately Normal.
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Given f(x)=-x-1f(x)=−x−1, find f(0)f(0).
Answers
The value of f(0) is -1
What is a function?A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.
Given the function;
f(x)= -x - 1
To determine f(0), we substitute the value of x as 0 in the function
So, we have;
f(0) = -(0) - 1
f(0) = -0 - 1
f(0) = -1
Thus, the value of f(0) is -1
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It is given that the equation (mx)²+ 5nx+4=0 has two equal real roots while the quadratic equation px²-x+m=0 has two distinct roots where m,n and p are constants. Express the range of n in terms of p
Answers
Given:
\((mx)^2+5nx+4=0\text{ has two equal real roots}\)\(px^2-x+m=0\text{ has distict roots. }\)Taking the first equation:
\(a=m^2\text{ ; b=5n ; c=4 }\)\(b^2-4ac=0\)\(25n^2-4m^2(4)=0\)\((5n)^2-(4m)^2=0\)\((5n+4m)(5n-4m)=0\)\(5n+4m=0\text{ ; 5n-4m=0}\)\(m=-\frac{5}{4}n\text{ ; m=}\frac{5}{4}n\)\(4m=-5n\text{ ; 4m=5n}\)Taking the second equation:
\(a=p\text{ ; b=-1 ; c=m}\)\(b^2-4ac>0\)\(1-4pm>0\)If 4m=5n,
\(1-p(5n)>0\)\(1>p(5n)\)\(\frac{1}{5p}>n\)If 4m=-5n,
\(1-p(-5n)>0\)\(1+5pn>0\)\(5pn>-1\)\(n>-\frac{1}{5p}\)Range of n in terms of p:
\(\frac{1}{5p}>n>-\frac{1}{5p}\)\(-\frac{1}{5p}solve: 2(4v-9) - (3v-11) =-52
Answers
Answer:
v = -9
Step-by-step explanation:
2(4v - 9) - (3v - 11) = -52
8v - 18 - (3v - 11) = -52
8v - 18 -3v + 11 = -52
5v - 7 = -52
+ 7 | + 7
5v = -45
/5
v = -9
: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),
Answers
a) X'Y' + X'Y + XY simplifies to X' + Y.
b) A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the functions:
a) Complement is W' + X' + YZ.
b) Complement is (A' + B + C)(A'B' + C' + A'B).
a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:
X'Y' + X'Y + XY
= Y'(X' + X) + XY(Distributive Law)
= Y' + XY(X + X' = 1)
= X' + Y(Commutative Law)
Therefore, X'Y' + X'Y + XY simplifies to X' + Y.
b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:
A'BC' + ABC' + BC'D
= BC'(A' + A) + BC'D (Distributive Law)
= BC' + BC'D(A + A' = 1)
= BC'(BC' + BC'D = BC' + BC'(1) = BC')
Hence, A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the given functions:
a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.
b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).
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The average daly volume of a computer stock in 2011 was 35.1 milion shares, according to a ralable source. A stock analyst believes that the stock volume in 2018 is differunt from the 2011 level Based on a random sample of 40 trading days in 2010, be finds the sample mean to be 28.7 mition shana, with a standard deviation of s 146miton shares Tast the hypotheses by constructing a 95% confidence interval Complete pants (a) Pugh (1)
(a) State the hypotheses for the
35.1 milion shares
363 milion shares
(b) Construct a 95% confidence interval about the sample mean of stocks traded in 2018
win 95% confidence, the mean stock volume in 2018 is between shares and miton shares
(Round to the decimal places as needed)
(c) Will the researcher reject the nut hypothes?
OA. Read the null hypothese bec -35.1 min shares as in the confidence interval
OB. Reject null hypothesis 35.1 milon shares does not fall in the confidence interval
OC. Do not reject Penal hypotes because35.1 million shares falls in the confidence interval
OD Do not at the null hypothesis bic25.1 milian whares does not tall is the confidence interval
Answers
The researcher will reject the null hypothesis as 35.1 million shares falls outside the confidence interval.
(a) Hypotheses: Null hypothesis (H0): The mean stock volume in 2018 is equal to 35.1 million shares. Alternative hypothesis (H1): The mean stock volume in 2018 is different from 35.1 million shares.
(b) The 95% confidence interval for the sample mean of stocks traded in 2018 is calculated using the sample mean (28.7 million shares), standard deviation (146 million shares), sample size (40 trading days), and the appropriate t-distribution values. The confidence interval is [22.3 million shares, 35.1 million shares].
(c) The researcher will reject the null hypothesis if the hypothesized mean of 35.1 million shares does not fall within the confidence interval. In this case, the null hypothesis is rejected because 35.1 million shares falls outside the confidence interval. Therefore, the answer is (OB) "Reject null hypothesis: 35.1 million shares does not fall in the confidence interval."
The researcher constructs a confidence interval to estimate the population mean stock volume in 2018 based on the sample mean from 2010. The confidence interval is a range of values within which the true population mean is likely to fall with a certain level of confidence. In this case, the 95% confidence interval is calculated to be [22.3 million shares, 35.1 million shares].
Since the null hypothesis states that the mean stock volume in 2018 is 35.1 million shares, the researcher will reject the null hypothesis if 35.1 million shares is not within the confidence interval. As 35.1 million shares falls outside the confidence interval, the researcher will reject the null hypothesis and conclude that the stock volume in 2018 is different from the 2011 level.
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What is the whole number consisting of x in the hundreds place, y in the
tens place, and 2 in the ones place?
Answers
The whole number consisting of x in the hundreds place, y in the tens place, and 2 in the ones place is; xy2.
What is the whole number described in the task content?It follows from the task content that the whole number described has x in the hundreds place, y in the tens place, and 2 in the ones place.
The whole number in discuss can be broken down simply as: (x×100) + (y×10) +(2×1).
Hence, the whole number is; xy2.
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14 is 70% of what number? Enter your answer in the box
Answers
Answer:
20
Step-by-step explanation:
6 and 7 please !!!!!!!
Answers
The length GF in the rhombus is 26.4 and the value of x in the square is 12
How to determine the length GFThe given shape is a rhombus
The diagonals of a rhombus intersect at 90 degrees
This means that
GF^2 = 21^2 + 16^2
So, we have
GF^2 = 697
This gives
GF = 26.4
How to determine the value of xThe given shape is a square
The vertex of a square has a measure of 90 degrees
This means that
11x - 32 = 90
So, we have
11x = 132
This gives
x = 12
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Learning Goal: To be able to add and subtract vectors using geometric and vector addition. A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled d1=21.0 m at θ1=29.5∘ from the tree then turned and traveled d2=10.0 m at θ2=138∘. Meanwhile, the sister traveled d3=19.0 m at an angle of θ3=−119∘ from the tree. The angles are given with respect to east with counterclockwise being defined as positive(Figure 1)
Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree.(Figure 2)
Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis.
View Available Hint(s)for Part A
Hint 1for Part A. Applying the parallelogram law
Arranging d1d1 and d2d2 such that they both begin at the origin allows us to use the parallelogram law and construct the following figure:
We can take a triangular half of the parallelogram and solve it using trigonometry.
Hint 2for Part A. Determine the magnitude of d B
We can solve for the magnitude of dBdB using trigonometry. Because the triangle formed by the three vectors is not a right triangle, the Pythagorean theorem does not apply. We can, however, use the cosine law to calculate the resultant displacement. What is the magnitude of dBdB?
Express your answer symbolically in terms of d1d1, d2d2, and ϕ1ϕ1.
dB=dB=
SubmitPrevious AnswersRequest Answer
Incorrect; Try Again; 5 attempts remaining
The correct answer involves the variable d1d1d_1, which was not part of your answer.
Hint 3for Part A. Determine the angle of d B
dBdB , θB=θB=
nothing
mm, ∘∘
SubmitRequest Answer
Part B
Complete previous part(s)
Part C
Complete previous part(s)
Answers
The displacement of the boy relative to the tree is approximately 22.572 meters at an angle of 6.49° counterclockwise from the positive x-axis.
To determine the displacement of the boy relative to the tree using the parallelogram law, we can follow these steps:
Find the x and y components of each vector:
For d₁: d₁x = d₁ * cos(θ1) and d₁y = d₁ * sin(θ₁)
For d₂: d₂x = d₂ * cos(θ2) and d₂y = d₂ * sin(θ₂)
For d₃: d₃x = d₃ * cos(θ3) and d₃y = d₃ * sin(θ₃)
Add the x and y components separately:
Total x component = d₁x + d₂x + d₃x
Total y component = d₁y + d₂y + d₃y
Calculate the magnitude and angle of the resultant displacement:
Magnitude = √((Total x component)² + (Total y component)²)
Angle = atan(Total y component / Total x component)
Now let's substitute the given values and perform the calculations:
For d₁:
d₁x = 21.0 * cos(29.5°) ≈ 18.471
d₁y = 21.0 * sin(29.5°) ≈ 10.173
For d₂:
d₂x = 10.0 * cos(138°) ≈ -5.149
d₂y = 10.0 * sin(138°) ≈ 8.528
For d₃:
d₃x = 19.0 * cos(-119°) ≈ 9.109
d₃y = 19.0 * sin(-119°) ≈ -16.166
Total x component = d₁x + d₂x + d₃x ≈ 22.431
Total y component = d₁y + d₂y + d₃y ≈ 2.535
Magnitude = √((Total x component)² + (Total y component)²) ≈ 22.572
Angle = atan(Total y component / Total x component) ≈ 6.49°
Therefore, the displacement of the boy relative to the tree is approximately 22.572 meters at an angle of 6.49° counterclockwise from the positive x-axis.
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8+3=8(y+1) worked out
Answers
8+3=11
11=8(y+1)
11-8=3
3=y+1
3-1=2
2=y
Step-by-step explanation:
Please do all and I’ll mark brainliest!! I’ve added extra points and I really need help ASAP!! Don’t worry about the 3D shape one
Answers
Answer:
Answers in step step-by-step explanation.
Step-by-step explanation:
1. 7
2. 0.3
3. 3
4. x = 50 degree
5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)
6. 10.408125
7. 240
8. -29
9. I think 1/4 but double-check.
10. $5.4
What is the key difference betweenstudent submitted image, transcription available belowandstudent submitted image, transcription available belowWhat assumption(s) do you need to show thatstudent submitted image, transcription available belowis unbiased? What does this mean, practically?
Answers
The key difference between two student submissions is not specified in the question. To demonstrate that a student-submitted image or transcription is unbiased, certain assumptions need to be met. Understanding the practical implications of unbiasedness is crucial.
The question does not provide information about the specific differences between the student-submitted image and transcription. However, to establish that a student submission is unbiased, several assumptions need to be satisfied. These assumptions typically include random sampling, the absence of systematic errors or biases in the data collection process, and the independence of observations. If these assumptions are met, it suggests that the student submission accurately represents the underlying population or phenomenon being studied.
Practically, unbiasedness means that the student-submitted image or transcription provides an accurate and representative depiction of the information or data being examined. It indicates that the student's work is not influenced by any systematic errors or biases that could skew the results or distort the information. This is important in research or data analysis to ensure the validity and reliability of the findings and conclusions drawn from the student's submission.
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a sphereical balloon is inflating with helium at a rate of 128pi ft^3/min. how fast is the balloon's radius increasing at the instant the radius is 4 ft
Answers
A sphereical balloon is inflating with helium at a rate of \(128\pi ft^3/min\).The balloon's radius is increasing at a rate of 8 ft/min when the radius is 4 ft.
To find the rate at which the balloon's radius is increasing, we can use the relationship between the volume of a sphere and its radius. The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius.
We are given that the volume is increasing at a rate of 128π ft³/min. Taking the derivative of the volume formula with respect to time, we have dV/dt = 4πr²(dr/dt), where dV/dt represents the rate of change of volume and dr/dt represents the rate of change of the radius.
At the instant when the radius is 4 ft, we can substitute r = 4 into the equation. Solving for dr/dt, we have 128π = 4π(4)²(dr/dt), which simplifies to dr/dt = 8 ft/min.
Therefore, the balloon's radius is increasing at a rate of 8 ft/min when the radius is 4 ft.
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PLEASE HELP ME ASAP THESE ARE CONFUSING
Answers
Answer: the answer is B-130
Explanation: it is farther closest to 50 than the other options.
Siobhan’s team is solving the following equation: . Amalia says there are no solutions. Brian says there is one solution, but it is imaginary. Cristina says there are two solutions! Help them out. Determine the solution(s) and justify your answer. You may want to refer to the Math Notes box in Lesson 2.2.2 for help.
Answers
There is no real solution of given equation.
There is a special case that will tell us if a quadratic has no real solution: if b = 0 when a and c share the same sign (both positive or both negative), then there will be no real solution. The quadratic formula becomes much simpler when b = 0.
given equation \(x^{2} =-16\)
\(x=\sqrt{-16},\:x=-\sqrt{-16}\)
\(x=4i, x=-4i\)
we get imaginary solutions of given equation
so, there is no real solution equation is exist.
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Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.25 mile she bikes. If Emily bikes 6 miles, how much will her mother donate?
Answers
How do you find eigenvalues and eigenvectors of a matrix?
Answers
Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.
In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.
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What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 9 options:
A)
x = –1, 1
B)
x = –1, 1∕4, 1
C)
x = –1, 0, 1∕4
D)
x = –1, –1∕4, 1
Answers
Answer:It is option B. I got it correct:)
Step-by-step explanation:
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answers
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
Which equation represents the graph ?
Answers
Answer:
The equation of the line is;
y + 4 = 3(x + 4)
Step-by-step explanation:
The general equation of a line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the equation, let us look at the given intercepts
We have the intercepts at the point (0,5) and (-2,-1)
We have the slope of the line as follows;
m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3
So we have the equation as;
y = 3x + b
recall, we have the y-intercept as 5
so the complete equation is;
y = 3x + 5
Now, we can rewrite this as;
y+ 4 = 3(x + 3)
Please help I am struggling bad and can’t fail these please
Answers
Answer:
9, 6√2, 2√3
Step-by-step explanation:
In any question, use the pythagorean theorem:
In any right angle triangle,
a^2 + b^2 = c^2,
where c is the length of the hypotenuse (longest side, opposite to the 90º angle) and a,b, are the lengths of the other two sides.
In q1:
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 225-144
x^2 = 81
x = √81
x= 9
In q2:
6^2 + 6^2 = x^2
36 + 36 = x^2
72 = x^2
√72 = x
from here, you can split 72 into 36*2
√36 √2 = x
6√2 = x
In q3:
x^2 + √7 ^2 = √19^2
x^2 + 7 = 19
x^2 = 19 -7
x^2 = 12
x = √12
Split 12 into 4*3
x = √4√3
x = 2√3
Imani spent $19 on a magazine and five
candy bars. If the magazine cost $4, then
how much was each candy bar?
Help please
Answers
19 - 4 (the price of the magazine) = 15$
15 / 5 (the amount of candy bars) = 3$
Can someone please help with how to solve this question?
Answers
The value of x + y in the given expression is determined as -21.
What is the value of x + y?The value of x + y is calculated by setting up the following equation with exponent rules.
From the first function, we will have the following equation;
\(2^{3x} = 8^{y +3}\)
Simplify the equation as follows;
\(2^{3x} = 2^3^{(y +3)}\\\\\)
3x = 3(y + 3)
x = y + 3
From the second expression, we will have the following;
\(4^{x + 1} = \frac{16^{(y + 1)}}{8^{(y + 3)}}\)
Simplify as follows;
\(2^{2}^{(x + 1)} = \frac{2^4^{(y + 1)}}{2^3^{(y + 3)}}\)
\(2(x + 1) = \frac{4(y + 1)}{3(y + 3)}\)
2(x + 1) = 4(y + 1) - 3(y + 3)
2x + 1 = 4y + 4 - 3y - 9
2x = y - 6
Substitute the value of x;
2( y + 3) = y - 6
2y + 6 = y - 6
y = -6 - 6
y = -12
x = y + 3
x = -12 + 3
x = -9
The value of x + y = -9 - 12 = -21
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HELPPPPP PLEASEEEE!!!!!!
Answers
Step-by-step explanation:
P'Q'R' is bigger, because the scale factor is larger than 1.
anything multiplied by something larger than 1 delivers a larger result.
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
B. Obtuse Angle
Answer:
b
Step-by-step explanation:
acute is anything smaller than 90 degrees
obtuse is anything bigger than 90 degrees
right is 90 degrees
straight is 180 degrees
the angle bisector of angle acd in rhombus abcd makes a 64 degree angle with the diagonal bd. find the measure or angle bad
Answers
The measure of angle BAD in the rhombus ABCD can be determined as 116 degrees. The angle bisector of angle ACD forms a 64-degree angle with the diagonal BD.
To explain further, in a rhombus, the diagonals bisect each other at right angles. Let's consider the angle bisector of angle ACD. Since the angle bisector forms a 64-degree angle with the diagonal BD, the other half of the angle bisector (angle BAD) will also measure 64 degrees. Since angle BAD and angle BCD are adjacent angles that share the same vertex, the sum of their measures is 180 degrees. Therefore, angle BCD measures 180 - 64 = 116 degrees. Hence, the measure of angle BAD is 116 degrees.
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what is the t* associated with 98% confidence and df = 37?
Answers
When constructing a 98% confidence interval with a sample size of 37, the t* value to use for determining the margin of error or the width of the confidence interval is approximately 2.693.
To find the t* value associated with a 98% confidence level and degrees of freedom (df) equal to 37, we can refer to a t-distribution table or use statistical software. The t* value represents the critical value that separates the central portion of the t-distribution, which contains the confidence interval.
In this case, with a 98% confidence level, we need to find the t* value that leaves 1% of the distribution in the tails (2% divided by 2 for a two-tailed test). With df = 37, we can locate the corresponding value in a t-distribution table or use software to obtain the value.
Using a t-distribution table or software, the t* value associated with a 98% confidence level and df = 37 is approximately 2.693. This means that for a sample size of 37 and a confidence level of 98%, the critical value falls at approximately 2.693 standard deviations away from the mean.
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