Answer:
the answer is the second one
what is the perimeter?
P = 8 + 10 + 8 + 10
P = 36
..................................
Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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Spencer bought gas for his four-wheeler from Gas World on Saturday. On Sunday, he bought the same amount of gas from Fuel Stop for less money. Now, Spencer has $20 to spend on gas for his car. Fuel Stop is on his way home. If the gas prices haven't changed, will Spencer be able to get more or less gas at Fuel Stop than at Gas World?
Answer:
Step-by-step explanation:
spencer bought the same amount of gas from gas world and fuel stop. since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world.
spencer has $20 to spend on gas for his car at fuel stop.
since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
hope this helped
If the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Spencer bought gas for his four-wheeler from Gas World on Saturday
He bought the same amount of gas from Fuel Stop for less money on Sunday
Now, Spencer has $20 to spend on gas for his car.
since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world. spencer has $20 to spend on gas for his car at fuel stop. since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
Hence if the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
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What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
Answer:
Step-by-step explanation:
The value of cos(x/2) is required.
The required value is \(\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}\)
TrigonometryThe given value is
\(\tan x=\dfrac{1}{2}\) where x is in quadrant III.
From trigonometric identities we have
\(\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}\)
If x lies in quadrant III then x/2 lies in quadrant II.
Cos is negative in quadrant III so,
\(\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}\)
\(\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}\)
Since, x/2 lies in the second quadrant and cos (x/2) is negative.
The required value is \(-\sqrt{\dfrac{5-2\sqrt{5}}{10}}\)
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Select the correct answer from each drop-down menu. the expression equivalent to sin 3x sin x is . the expression equivalent to sin 3x− sin x is .
The simplified trigonometric expression in this problem is defined as follows:
sin(3x)/sin²(x) = 3csc(x) - 4sin(x).
How to simplify the trigonometric expression?The trigonometric expression in this problem is defined as follows:
sin(3x)/sin²(x).
The equivalent expression for the sine of 3x is given as follows:
sin(3x) = 3sin(x) - 4 sin³(x).
Then the expression can be written as follows:
(3sin(x) - 4 sin³(x))/sin²(x)
The subtraction is in the numerator, hence the expression can be simplified as follows:
3sin(x)/sin²(x) - 4sin³(x)/sin²(x)
3/sin(x) - 4sin(x)
One divided by the sine is equivalent to the cossecant, hence:
3/sin(x) - 4sin(x) = 3csc(x) - 4sin(x).
Meaning that the first option among those given on the image at the end of the answer is correct.
Missing InformationThe problem is given by the image shown at the end of the answer.
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During the first basketball game of the year, you made 12 baskets. In the second game of the year, you only made 9. What is the percent decrease in the shots made from the first game to the second?
Answer:
25%
Step-by-step explanation:
75% of 12 is 9, meaning you got 75% of the shots in.
which means you missed 25% of the shots
4x^2-21x-18=0
Find the discriminate
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:729
Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729
2) a) Design a PD compensator to meet the specification in problem 1c. b) Design a PID compensator to meet the following specifications: i) t5≤0.4sec ii) Mp≤2% Sketch the compensated root locus. c) Again, obtain MATLAB plots of the step and ramp responses for the PD and PID compensators. Use Matlab to simulate your controller. Make any adjustments needed to meet specs. Measure the following performance parameters Ts,Mp and
To design ac to meet the specifications in problem 1c, we need to determine the desired closed-loop pole location. Once we have the desired pole location, we can design the PD compensator to place one of the poles at that location.
To design a PID compensator to meet the specifications in problem 1b, we need to consider both the desired pole location and zero location. The pole location determines the system's transient response, while the zero location affects the steady-state response. By adjusting the locations of the pole and zero, we can achieve the desired performance specifications.
To sketch the , we plot the loci of the closed-loop poles as we vary the compensator gain. We include the effect of the compensator in the open-loop transfer function and analyze how the poles move in the complex plane. The sketch helps us understand the stability and transient response characteristics of the system with the compensator
To obtain MATLAB plots of the step and ramp responses for the PD and PID compensators, we can use the `step` and `lsim` functions in MATLAB. By simulating the response of the system with different compensator gains, we can observe the system's performance in terms of settling time (Ts), maximum overshoot (Mp), and steady-state error. We can adjust the compensator parameters until the desired performance specifications are met. Overall, designing the PD and PID compensators involves determining the desired closed-loop pole and zero locations, sketching the compensated root locus, and simulating the system's response using MATLAB to fine-tune the compensator parameters and meet the given specifications.
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find the value of each trigonometric ratio part 3
Answer:
hope this helps you
The number of seats in the first row of the
stage left section of the Ming-Sun Theater is
9. As with the center section, the number of
seats in each succeeding row is 2 more than
the row in front of it. How many seats are in
the twenty-fifth row of the stage left section?
The number of the seats within the 25th row is 227.
According to the statement
We have to seek out that the quantity of seats are within the twenty-fifth row of the left section.
So, For this purpose, we all know that the
According to the information:
The number of seats within the first row of the left section of the Ming-Sun Theater is 9.
As with the middle section, the amount of seats in each succeeding row is 2 over the row ahead of it.
From this information, the equation become to search out the seats is:
Number of seats within the given row(x) = 9x+2
And the number of seats is: Number of seats within the 25th row(25) = 9(25)+2
Number of seats within the 25th row(25) = 225+2
Number of seats within the 25th row(25) = 227.
So, The amount of the seats within the 25th row is 227.
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help pls i have 3 tests to do and this is due today
Answer:
The sum of any triangle is 180 degrees.
Step-by-step explanation:
Answer:
a = 60
b = 60
c = 60
d = 42
e=35
f=35
g=55
h=45
i=45
j=15
k=15
l=75
m=120
n=21
o=69
p=21
q=55
r=55
s=42
t=42
u=69
Step-by-step explanation:
Find the slope of the line containing the points ( a , 1/a ) a n d ( b , 1/b )
its sorta hard to do fractions with typing
Answer:
slope=(y2-y1)/(x2-x1)
=(1/b-1/a)/(b-a)
=((a-b)/ab)/(b-a)
=(a-b)/ab(b-a)
=(a-b)/(-(ab(a-b))
=-1/ab
The slope of the line containing the points should be considered as the \(-1/ab\)
Calculation of the slope of the line;Since we know that
slope should be
\(=(y2-y1)/(x2-x1)\\\\=(1/b-1/a)/(b-a)\\\\=((a-b)/ab)/(b-a)\\\\=(a-b)/ab(b-a)\\\\=(a-b)/(-(ab(a-b))\\\\=-1/ab\\\\\)
Hence, The slope of the line containing the points should be considered as the \(-1/ab\)
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Please help! 15 Points <3
Answer:
22
Step-by-step explanation:
becuase the other one is 23... sorry if im wrong
In the equation (x - 7)^2 = 25, if x equals 12, is there another solution for x?
(It's confusing but it means is there any other possible answer for x except 12.)
Answerh
Step-by-step explanation:
huh
An quadrilateral is graphed on the coordinate plane. One of its vertices is translated 5 units to the right. Which of the following options best represents the translation?
x + 5
x - 5
y + 5
y - 5
Answer:
the answer is X+5
Step-by-step explanation:
hope this helps
Find the quotient. (5x4 – 3x2 + 4) ÷ (x + 1)
Answer:
A
Step-by-step explanation:
The quotient is 5x³ -5x² + 2x -2.
What is Synthetic Division?Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1." This division method requires less human calculation effort than the lengthy division method.
Given:
(5\(x^4\) – 3x² + 4) ÷ (x + 1)
So, the division is
(x+1) | (5\(x^4\) – 3x² + 4) | 5x³ -5x² + 2x -2
5\(x^4\) + 5x³
___________
-5x³ - 3x²
-5x³ - 5x²
____________
2x² + 4
2x² + 2x
____________
4 - 2x
-2 - 2x
_______
6
Hence, the quotient is 5x³ -5x² + 2x -2.
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Multiply the monomials: (-5xy')(6x²y5)
a. - 30x²y3⁰
12
b. 1x³y¹²
- 30x³y³⁰
12
d. - 30x³y¹2
To multiply the monomials (-5xy') and (6x²y5), you can use the following formula:
(ax^m)(by^n) = abx^(m+n)y^(m+n)
Where:
- a and b are constants
- x and y are variables
- m and n are the exponents of x and y, respectively
- Plugging in the values for a, b, m, and n, you get:
(-5xy')(6x²y5) = (-5)(6)x^(1+2)y^(1+5)
This simplifies to:
(-5xy')(6x²y5) = (-30)x^3y^6
So, the product of (-5xy') and (6x²y5) is (-30)x^3y^6, which is option (d).
One thing you learned about slopes
Answer:
one thing that I learned about slope is the rise over run and y2-y1 over x2-x1
Step-by-step explanation:
Answer:
That if 2 coordinate points are given we can use the formula of; \(\frac{y_2 - y_1}{x_2 - x_1}\) to find the slope passing through those points
Hope this helps!
Claudine traded U.S. dollars for Mexican pesos at an exchange rate of 1 U.S. dollar = 12.6577 Mexican pesos. She gave the exchanger a total of 2300 U.S. dollars and was charged a flat fee of 55 U.S. dollars. Approximately how many Mexican pesos does Claudine have? A. 177.36 B. 29,112.71 C. 181.71 D. 28,416.54
Using expression 2300*12.6577, Claudine have 29,112.71 pesos i.e. B.
What exactly are expressions?
Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.
e.g. A number is 6 more than half of another number, which is x. In a mathematical expression, this proposition is expressed as x/2 + 6. Complex riddles are solved using mathematical expressions.
Now,
Given that 1 U.S. dollar = 12.6577 Mexican pesos
Claudine gave =2300+55=$2355
but $55 is fee. so, she will not get money in exchange for $55.
Therefore, she has now=2300*12.6577 Mexican pesos
=29112.71 pesos
hence,
Claudine have 29,112.71 pesos.
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In ANOVA, which of the following is not affected by whether or not the population means are equal? between-samples estimate of o 2 within-samples estimate of o 2 None of these alternatives is correct.
In Analysis of variance, X (bar) is not affected by whether or not the population means are equal.
Analysis of variance is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.
ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.
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Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Find the number that is exactly half way between -4 and 10
Answer:
7 as a halfway of a line
3 if you were using points on a graph
Step-by-step explanation:
10--4/2=7
use midpoint formula for 3
The number that is exactly halfway between -4 and 10 is 3
The distance between two point is the amount of length between the two points.
Midpoint of -4 and 10 is 10 - (-4) gives 10 + 4
The distance between -4 and 10 is 14 units
Halfway of the length between -4 and 10 is 14 /2 (7)
The number that is exactly halfway between -4 and 10 = -4 + 7 or 10 - 7 = 3
The number that is exactly halfway between -4 and 10 is 3
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You are looking at a map of the united states, and it is assumed that you already know which direction is north
When one is looking at a map of the united states, and it is assumed that you already know which direction is north, this illustrates a theorem.
What is a theorem?It should be noted that a theorem simply means a statement that has been proved.
In this case, when one is looking at a map of the United States, and it is assumed that you already know which direction is north, this illustrates a theorem. This is because it's proven.
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a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
Kylie needs to build a fence around her land to keep her dog in. Her land is a rectangle which is 15m long and 14m wide. How many metres of fencing material will kylie need to go all around her land?
Answer:
58m
Step-by-step explanation:
The perimeter of a rectangle equation is as follows:
p = 2(width + height)
The width is 14m and the height is 15m. Plug these into the equation and solve:
p = 2(14 + 15)
p = 2(29)
p = 58
Therefore, Kylie will need 58m of fencing to go all around her land.
Hope this helps!!
- Kay :)
Kylie needs 58 m of fencing to fencing material to go around her lend.
Given that,
Kylie needs to build a fence around her land to keep her dog in.
Her land is a rectangle that is 15m long and 14m wide.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Since in question how many meters of fencing material will kylie need to go all around her land is to be determined.
From the given, we have the length and width of rectangle land which are 15 m and 14 m respectively.
Since Kylie needs to do fencing all around her land so she must know the perimeter of her land in order to evaluate how much fencing material will be needed.
Perimeter of her land = 2 * length + 2 * width
= 2 * 15 + 2 * 14
= 58 m
Thus, Kylie needs 58 m of fencing to fencing material to go around her lend.
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Determine whether P'Q'R' is a translation image of PQR. Explain.
Answer:
you have studied
transformation
Step-by-step explanation:
the ratio of +90⁰ is the translation
Please answer both questions! I know that there are answers in the boxes but I’m not sure if they are correct.
Answer:
72,000
Step-by-step explanation:
I just used my brain to solve it the way I could
here they said 64,000 annually a year, which means every Yr all together he would make 64,000 but ever month 2,000
so let's try this formula
64,000+2×4
=72,000
-2x + 15 = 7
Show your work steps and the solution
Answer:
x=6
Step-by-step explanation:
-2x+15=7
-2x=7-15
-2x=-8
x=-8/-2
x=6
Answer:
-2x+15=7
-15 -15
-2x = -8
_ _
-2 -2
answer is x=4
Let X and Y, with respective pmfs f(x) and g(y), be independent discrete random variables, each of whose support is a subset of the nonnegative integers 0, 1, 2, ... . Show that the pmf of W = X+Y is given by convolution formula
h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ...
HINT: Argue that h(w)=P(W=w) is the probability of the w+1 mutually exlcusive events (x,y = w-x), x= 0, 1, 2, ..., w.
To show that the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ..., let's follow these steps:
Step 1: Express the probability of W = w.
We need to find the probability of W = w, which can be written as P(W = w) = h(w).
Step 2: Recognize the mutually exclusive events.
As hinted, there are w+1 mutually exclusive events corresponding to (x, y) pairs, where x = 0, 1, 2, ..., w and y = w - x. Since X and Y are independent, the probability of each pair is the product of their individual probabilities: P(X = x) * P(Y = w - x).
Step 3: Use the independence of X and Y.
Since X and Y are independent, we can use their respective pmfs, f(x) for X and g(y) for Y. Thus, the probability of each pair becomes f(x) * g(w - x).
Step 4: Sum over all mutually exclusive events.
Now, we sum the probabilities of all these mutually exclusive events to get the probability of W = w:
h(w) = ∑f(x)g(w-x) for x = 0, 1, 2, ..., w.
So, the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ....
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To show that the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ... , we will follow these steps:
Step 1: We want to find the probability h(w) = P(W = w), where W = X + Y.
Step 2: Rewrite h(w) in terms of X and Y probabilities.
h(w) = P(X + Y = w)
Step 3: Apply the independence property of X and Y. Since X and Y are independent, we know that the joint probability mass function (pmf) is the product of their individual pmfs: P(X=x, Y=y) = f(x)g(y).
h(w) = \sum_{x=0}^{w} P(X=x, Y=w-x)
Step 4: Sum over all possible values of X that satisfy the condition.
h(w) = \sum_{x=0}^{w} f(x)g(w-x)
So, the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ...
Explanation: What is Probability: Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities. Express the probability of the desired event: h(w) = P(W = w), Rewrite h(w) in terms of X and Y probabilities, Apply the independence property of X and Y, Sum over all possible values of X that satisfy the condition.
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I need help asap (Fractions)
Answer:
Step-by-step explanation:
3 3/4 = 15/4
15/4 divided by 3/4 = 5