Answer:
Step-by-step explanation:
it should be Venus
hmmm. im thinking its venus
Which correctly orders from greatest to least? 330, 341, 382 490, 581, 671 560, 324, 318 870, 890, 832 16 = 19 - 3
The correct order from greatest to least is:
870, 890, 832.
The numbers in the given options are:
330, 341, 382, 490, 581, 671
560, 324, 318
870, 890, 832
Among these options, the first option is already in increasing order, so it is not the correct answer. The second option is in decreasing order, so it is also not the correct answer. The third option, however, is in increasing order, and the numbers are 870, 890, and 832. Therefore, the correct order from greatest to least is 870, 890, 832.
The given expression "16 = 19 - 3" is not related to ordering numbers and does not affect the solution. It appears to be an equation stating that 16 is equal to 19 minus 3
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The between two points can be found by drawing a triangle. The length of this is the of the right triangle, the other two sides are and Example One: Determine the distance between the two points: (-2, -3) and (3, 4) (1) the points and the segment. a right triangle, and the units for the legs. (3) the right triangle, with and (4) Set up an equation. → Simplify and solve a² + b² = c²
Answer:
Don't let anyone bring you down you matter you rock!
Step-by-step explanation:
Let v
1
= ⎣
⎡
0
3
−3
⎦
⎤
, v
2
= ⎣
⎡
−3
−3
0
⎦
⎤
, v
3
= ⎣
⎡
−1
0
2
⎦
⎤
be eigenvectors of the matrix A which correspond to the eigenvalues λ 1
=−3,λ 2
=−1, and λ 3
=2, respectively, and let x
= ⎣
⎡
−4
0
−10
⎦
⎤
Express x
as a linear combination of v
1
, v
2
, and v
3
, and find A x
x
= v
3
A x
=
The eigenvectors of the matrix A which correspond to the eigenvalues \($\lambda_1 = -3$\)
\($\lambda_2 = -1$\),
and \($\lambda_3 = 2$\),
respectively and\($x= \begin{bmatrix} -4 \\ 0 \\ -10 \end{bmatrix}$.\)
To express x as a linear combination of v₁, v₂, and v₃,
We need to find the coefficients a₁, a₂ and a₃ for which x = a₁v₁ + a₂ v₂ + a₃v₃
Step 1: Construct the augmented matrix for the system of linear equations:
\($\begin{bmatrix} 0 & -3 & -1 & | & -4 \\ 3 & -3 & 0 & | & 0 \\ -3 & 0 & 2 & | & -10 \end{bmatrix}$\)
Step 2: Reduce the augmented matrix to echelon form.
\($\begin{bmatrix} 1 & 0 & 0 & | & 2 \\ 0 & 1 & 0 & | & 2 \\ 0 & 0 & 1 & | & -2 \end{bmatrix}$\)
Therefore, the solution is given by \($x = 2v₁ + 2v₂- 2v₃$\).So,
\($A = \begin{bmatrix} -3 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 2 \end{bmatrix}$\)
And \($Ax = A(2v₁ + 2v₂ - 2v₃) = 2A(v₁+ v₂ - v₃) = 2(\lambda_1v₁ + \lambda_2v₂+ \lambda_3v₃) = 2\begin{bmatrix} 9 \\ -9 \\ 5 \end{bmatrix} = \begin{bmatrix} 18 \\ -18 \\ 10 \end{bmatrix}$\)
Hence, \($A x = \begin{bmatrix} 18 \\ -18 \\ 10 \end{bmatrix}.$\)
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To solve the system of equations the answer is A
\($x=v_3=\begin{bmatrix} -1 \\ 0 \\ 2\end{bmatrix}$\)
Given that
\($v_1=\begin{bmatrix} 0 \\ 3 \\ -3\end{bmatrix}$,\)
\($v_2=\begin{bmatrix} -3 \\ -3 \\ 0\end{bmatrix}$,\)
\($v_3=\begin{bmatrix} -1 \\ 0 \\ 2\end{bmatrix}$\)
be eigenvectors of the matrix A which correspond to the eigenvalues
\($\lambda_1 =-3$,\)
\($\lambda_2=-1$\)
and
\($\lambda_3=2$\)
respectively.
Also,
\($x=\begin{bmatrix} -4 \\ 0 \\ -10\end{bmatrix}$\)
is given.
To find x as a linear combination of
\($v_1,v_2$\)
and
\($v_3$\)
we have to solve the system of equations
\(\[\begin{bmatrix} 0 & -3 & -1 \\ 3 & -3 & 0 \\ -3 & 0 & 2\end{bmatrix}\begin{bmatrix} c_1 \\ c_2 \\ c_3\end{bmatrix}=\begin{bmatrix} -4 \\ 0 \\ -10\end{bmatrix}\]\)
Solving this system, we get \($c_1=-2, c_2=0, c_3=-3$\)
Therefore, \($x=-2v_1-3v_3$\)
Now, to find Ax, we have
\($$Ax=A(-2v_1-3v_3)=-2Av_1-3Av_3$$\)
To compute \($Av_1$\)
we have
\(\[\begin{aligned}Av_1&=A\begin{bmatrix} 0 \\ 3 \\ -3\end{bmatrix}\\&=\begin{bmatrix} 0 & -3 & -1 \\ 3 & -3 & 0 \\ -3 & 0 & 2\end{bmatrix}\begin{bmatrix} 0 \\ 3 \\ -3\end{bmatrix}\\&=\begin{bmatrix} 3 \\ -9 \\ 9\end{bmatrix}\\&=3\begin{bmatrix} 1 \\ -3 \\ 3\end{bmatrix}\\&=3v_1\end{aligned}\]\)
Similarly, to compute $Av_3$,
we have
\[\begin{aligned}Av_3&=A\begin{bmatrix} -1 \\ 0 \\ 2\end{bmatrix}\\&=\begin{bmatrix} 0 & -3 & -1 \\ 3 & -3 & 0 \\ -3 & 0 & 2\end{bmatrix}\begin{bmatrix} -1 \\ 0 \\ 2\end{bmatrix}\\&=\begin{bmatrix} -3 \\ 0 \\ 4\end{bmatrix}\\&=4\begin{bmatrix} -3/4 \\ 0 \\ 1\end{bmatrix}\\&=4v_3\end{aligned}\]
Therefore, \($Ax=3(-2v_1)+4(-3v_3)=-6v_1-12v_3=\begin{bmatrix} 18 \\ -30 \\ -18\end{bmatrix}$\)
and the answer is A
\($x=v_3=\begin{bmatrix} -1 \\ 0 \\ 2\end{bmatrix}$\)
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what's the y-intercept f(x) = (x+1)(x-9)(x-1)^2
Answer:
The y-intercept y = -9
Step-by-step explanation:
Given the function
\(f\left(x\right)\:=\:\left(x+1\right)\left(x-9\right)\left(x-1\right)^2\)
Determining the y-intercept of the function
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
so substitute x = 0 in the function
\(y\:=\:\left(x+1\right)\left(x-9\right)\left(x-1\right)^2\)
\(y\:=\:\left(0+1\right)\left(0-9\right)\left(0-1\right)^2\)
\(y=1\cdot \left(-9\right)\left(0-1\right)^2\)
\(y=1\cdot \left(-9\right)\cdot \:1\)
\(y=-1\cdot \:9\cdot \:1\)
\(y=-9\)
Therefore, the y-intercept y = -9
WebAssign answers calc 2 surface area of revolutionROTATING ON A SLANT
We know how to find the volume of a solid of revolution obtained by rotating a region about a horizontal or vertical line (see Section 6.2). We also know how to find the surface area of a surface of revolution if we rotate a curve about a horizontal or vertical line (see Section 8.2). But what if we rotate about a slanted line, that is, a line that is neither horizontal nor vertical? In this project you are asked to discover formulas for the volume of a solid of revolution and for the area of a surface of revolution when the axis of rotation is a slanted line.
Let C be the arc of the curve y = f (x) between the points P(p, f (p)) and Q(q, f (q)) and let 5 be the region bounded by C, by the line y = mx + b (which lies entirely below C), and by the perpendiculars to the line from P and Q.Show that the area of ℜ is
[Hint: This formula can be verified by subtracting areas, but it will be helpful throughout the project to derive it by first approximating the area using rectangles perpendicular to the line, as shown in the following figure. Use the figure to help express Δu in terms of Δx.]
The desired formula for the area of the region bounded by the curve, the line, and the perpendiculars to the line from P and Q is
Area of region = ∫p^q 2π[f(x) - mx - b]√[1 + m²] dx
In this project, we are asked to discover formulas for finding the volume of a solid of revolution and the area of a surface of revolution when the axis of rotation is a slanted line. We need to show that the area of the region bounded by the curve y = f(x), the line y = mx + b, and the perpendiculars to the line from P and Q is given by a particular formula.
To find the area of the region bounded by the curve y = f(x), the line y = mx + b, and the perpendiculars to the line from P and Q, we can approximate the area using rectangles perpendicular to the line. The figure given in the problem can be used to express Δu in terms of Δx.
Let us consider a small segment of the curve y = f(x) between two points x and x + Δx. The length of this segment is approximately given by √(Δx² + Δy²), where Δy is the change in y between the two points.
The perpendicular distance between the line y = mx + b and this segment is given by |mx + b - f(x)|. Therefore, the area of the rectangle formed by this segment and the line y = mx + b is approximately given by [√(Δx² + Δy²)][|mx + b - f(x)|][Δx].
Summing up the areas of all such rectangles over the length of the curve gives us an approximation for the area of the region bounded by the curve, the line, and the perpendiculars to the line from P and Q. As we take finer and finer rectangles, this approximation gets closer and closer to the true area.
Taking the limit as the width of the rectangles approaches zero gives us the exact area of the region. Simplifying the expression and substituting the values of P, Q, and the line y = mx + b, we get the formula:
Area of region = ∫p^q 2π[f(x) - mx - b]√[1 + m²] dx
This is the desired formula for the area of the region bounded by the curve, the line, and the perpendiculars to the line from P and Q.
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Substitution and Elimination Methods Nathan solves the following system of equations using the elimination method. - 2x + 3y = 6 4.3 – 6y = -12 He chooses to eliminate the variable x. Which statement correctly describes his process and solution? A: Nathan multiplies - 2x + 3y = 6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution Nathan multiplies - 2x + 3y = 6 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. B: Nathan multiplies -2.x + 3y = 6 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions. C: Nathan multiplies -2x + 3y = 6 by 2 and then subtracts the equations. He finds the result is an identity, so there are many infinitely many solutions.
Answer:
Nathan multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions.
Step-by-step explanation:
k12
The solution for the system of equations -
- 2x + 3y = 6
3x - 6y = -12
is (0, 2)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
\(y-y_{1}=m\left(x-x_{1}\right)\)
We have the following set of equations -
- 2x + 3y = 6
3x - 6y = -12
These are the equations of a straight line. Plotting the graphs and finding the point of intersection would give us the solution. It can be seen from the graph that the solution is given by coordinate - (0,2)
AlternativelySolving by elimination method -
- 2x + 3y = 6 ..[1]
3x - 6y = -12 ..[2]
Multiply [1] by 3 and [2] by 2 -
- 6x + 9y = 18
6x - 12y = - 24
Adding both -
- 6x + 9y + 6x - 12y = 18 - 24
-3y = - 6
y = 2
AND
- 2x + 3y = 6
-2x + 6 = 6
x = 0
Therefore, the solution for the system of equations -
- 2x + 3y = 6
3x - 6y = -12
is (0, 2)
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13. Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 6 hours. Chris
can paint the same house in 5 hours. The three working together can paint the house
in 2 hours. How many hours does it take Lexi to paint the house?
Answer:
13
Step-by-step explanation:
❤️❤️❤️❤️❤️
What scale factor was applied to the first rectangle to get the resulting image?
Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)
don't forget to drop a heart hope it helped
Step-by-step explanation:
Answer: 1/0.2=5
Step-by-step explanation:
I hope this helps if you guys need a reach out to me :)
55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?
There are 34 cows will graze the same field in 10 days.
We have to given that;
55 cows can graze a field in 16 days.
Since, Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Now, Let us assume that,
Number of cows graze the same field in 10 days = x
Hence, By proportion we get;
55 / 16 = x / 10
Solve for x;
550 / 16 = x
x = 34
Thus, There are 34 cows will graze the same field in 10 days.
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3b+t=30
5b-t=42
its easy and im lazy please solve with full steps asap
2.4x + 2.8 = 10 solve for x
Answer:
3
Step-by-step explanation:
2.4x+ 2.8=10
-2.8 -2.8
2.4=7.2
divide 7.2/2.4
3
anyone know what this is.
Answer:
The answer is 1/8 because 1/2 as a decimal is 0.5 so do 1/2 and get 0.5 then you do 0.5 divided by 4 which is 0.125 and 0.125 as a fraction is 1/8
Step-by-step explanation:
a certain type of flashlight requires two type-d batteries, and the flashlight will work only if both its batteries have acceptable voltages. suppose that 80% of all batteries from a certain supplier have acceptable voltages. among ten randomly selected flashlights, what is the probability that at least nine will work? (round your answer to three decimal places.)
The probability that at least nine of ten randomly selected flashlights will work, given that 80% of all batteries have acceptable voltages, is 0.2684.
This problem can be solved using the binomial distribution.
Let X be the number of flashlights out of 10 that will work. Then X is a binomial random variable with n = 10 and p = 0.8.
We want to find P(X ≥ 9). Using the binomial probability formula, we can compute
P(X ≥ 9) = P(X = 9) + P(X = 10)
= (10 choose 9)(0.8)^9(0.2)^1 + (10 choose 10)(0.8)^10(0.2)^0
= 0.2684
Therefore, the probability that at least nine out of ten flashlights will work is 0.2684 (rounded to three decimal places).
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Give 5 reasons why someone would believe in God.
pls answer this
The numinous
Answered Prayers
They are taught about the faith
Through their own experience
The teachings from the Bible
Answer:
Nobody ever said having faith would be easy, but it will be worth it and here is why.
He knows better than we do. God knows everything we are going through at this very moment and everything we will go through in the future. ...
All Things Are Possible With God.
He Is Worthy Of Our Trust.
He Knows What He Is Doing.
He is the creator of the universe
he exited before the heavens and earth
He is our father and the father of our ancestors
He has performed many miracles
He is the God who answers all prayers if you believe.
He is the one who stands by you in any situation, in good times and bad
He is a merciful, understandable and dependable God
What he says he'll do, that is what he'll do
heres another one.
for brainliest
Answer:
Max made a mistake in step 5.
He should have used division instead of multiplication.
Step-by-step explanation:
In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.
In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.
Answer:
he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5
(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)
Step-by-step explanation:
is the standard deviation of the numbers x, y, and z equal to the standard deviation of 10, 15, and 20 ?
This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.
What is the standard deviation?
The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.
Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.
This is what 10, 15, and 20 will be on a number line
10_ _ _ _15 _ _ _ _20
(15 is the mean and 10 and 20 are 5 steps away from the mean)
i) Z - X = 10
This is what Z and X will be on the number line
X _ _ _ _ _ Z
ii) Z - Y = 5
This is what Z and Y will on the number line.
Y_ _ _ _ _ Z
Together, their relative placement on the number line:
X _ _ _ _ _ Y _ _ _ _ _ Z
This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.
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Mary went to the store and bought 8 pounds of mozzarella cheese. How much did she spend?
Answer:
gouda
blue cheese
mozzarella
smoked cheddar
$6/16
$3/lb
$3/lb
$5/lb
Answer:
She spent $3
Step-by-step explanation:
It says on the chart that mozzarella cheese is $6 for 16 pounds, though Mary bought 8 pounds.
8 times 2 is 16, and that means 6/2 is $3.
Therefore,
Mary spent $3 on cheese
Someone slide me the answer of number 6 pls
Based on the distance that the yellow jacket flies in 9 seconds, the unit rate in meter per second is 0.5 m/s
What is the unit rate?The unit rate of the yellow jacket can be found by the formula:
= Distance travelled / Number of seconds
Solving gives:
= 4.5 / 9
= 0.5 meter per second
= 0.5 m/s
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for a two-tailed test with a sample size of 20 and a .20 level of significance, the t value is . a. 2.539 b. 1.325 c. 2.528 d. 1.328
Using a t-distribution calculator, it is found that the t-value is t = 1.328.
option (d) is correct.
To ascertain if a claim about a population parameter is true or false, statisticians utilize hypothesis testing.
We usually create a null hypothesis and an alternative hypothesis before conducting a hypothesis test, and these take the following forms:
H0, or the null hypothesis Parameter for the population =, some value
Alternative Hypothesis: Some Value for Population Parameter, >
Two different kinds of hypothesis tests exist:
a test with one tail The alternative hypothesis has either the sign or
Test with two-tailed: Alternative hypothesis has the sign
The alternative hypothesis always contains the not equal sign in a two-tailed test.
This means that we are examining the existence of an effect, whether it be a good or negative effect.
Sample size, n= 20.
Degree of freedom, df=n-1,
df=20-1=19
α=.2
Using the T-distribution calculator :
Since it is two-tailed:
Tα/2 ; 19 = T0.2/2 ; 19 = T0.1, 19 = 1.3277 = 1.328
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The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.
A graph shows the horizontal axis numbered 2.6 to x. The vertical axis is unnumbered. The graph shows an upward trend from 2.8 to 3.4 then a downward trend from 3.4 to 4.
Which statement is true about the songs played during the one-hour interval?
Most of the songs were between 3 minutes and 3.8 minutes long.
Most of the songs were 3.4 minutes long.
Most of the songs were less than 3.2 minutes long.
Most of the songs were more than 3.6 minutes long.
The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.
Based on the given information from the graph, we can determine the following:
The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.
Then, there is a downward trend from 3.4 to 4 on the horizontal axis.
From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.
Therefore, the correct statement is:
Most of the songs were between 3 minutes and 3.8 minutes long.
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Answer:
A
Step-by-step explanation:
Quadrilateral ABCD is a rectangle. BE=3x−7 and AC=8x−20. What is BE?
The length of the segment BE is 2 units.
What is the rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
Quadrilateral ABCD is a rectangle.
BE=3x−7 and AC=8x−20.
E is the intersection point of the diagonals.
So,
AC/2 = BE
(8x−20)/2 = 3x−7
4x - 10 = 3x - 7
x = 3
So, BE = 2
Therefore, BE = 2 units.
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choose two of the following three questions and post your answers: 1. in your own words, what is meant by the statement that correlation does not imply causality? 2. in your own words, please describe the difference between the regression equation and the regression equation . 3. values of r: if you had computed the value of the linear correlation coefficient to be 1.200, what should you conclude?
1. Correlation does not imply causality - a correlation between two variables does not necessarily mean that one causes the other; a third variable may be responsible.
2. Regression equation and line - an equation describing the linear relationship between two variables, and their graphical representation, respectively, used for prediction and visualization.
3. Linear correlation coefficient - a value of 1.200 indicates a strong, positive correlation between two variables.
1. Correlation does not imply causality means that just because two variables seem to be related, this does not necessarily mean that one variable causes the other. It is possible that a third variable could be causing the relationship between the two variables.
2. The regression equation is an equation that describes the linear relationship between two variables, while the regression line is the graph of the equation.
The regression equation is used to predict the value of one variable based on the value of another variable, while the regression line is used to visualize the linear relationship between two variables.
3. If you had computed the value of the linear correlation coefficient to be 1.200, you should conclude that there is a strong, positive correlation between the two variables.
Therefore, it can be concluded that a correlation between two variables does not necessarily indicate causality as a third variable could be involved. The regression equation and line are used to predict and visualize the linear relationship between two variables, respectively. In the case of a linear correlation coefficient value of 1.200, there is a strong, positive correlation between the two variables.
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I need help plzzzzzz
the answer is 0 Numble D
it help you
Fill in the blank with a whole number only - no decimals, no symbols. The demand for a product is given by: Qd = 20 - P. Total revenue will be maximized when quantity is equal to [a]
The total revenue that will be maximized is 20 - 2a
Finding the total revenue that will be maximizedFrom the question, we have the following parameters that can be used in our computation:
Qd = 20 - P
The revenue equation is calculated using
Revenue = Quantity * Price
So, we have
R = Qd * P
This gives
R = (20 - P) * P
Expand
R = 20P - P²
Differentiate
R' = 20 - 2P
Next, we have
Q = a
So, we have
R = 20 - 2a
Hence, the total revenue that will be maximized is 20 - 2a
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Select all of the options that correspond to possible bootstrap samples from the following sample values: -8, -3, 13, 2, 15 -3,-8, 13, 2, 2 0 -3, 13, -8, -8,-3, 31, 14, -2 -8, -8, -8,-8, -8 15, 2, 15, 2, -3
The possible bootstrap samples from the given sample values are:
-3,-8,13,2,2
0,-3,13,-8,-8,-3,31,14,-2
-8,-8,-8,-8,-8
15,2,15,2,-3
What are the possible bootstrap samples from the given sample values?Bootstrap sampling is a statistical technique for estimating the sampling distribution of an estimator by sampling with replacement from the original sample data. The possible bootstrap samples from the given sample values can be obtained by randomly selecting samples of the same size as the original sample, with replacement.
The selected values are then used to form the bootstrap sample. The number of possible bootstrap samples is very large and depends on the size of the original sample.
In this case, we are given a sample of size 5 with values -8, -3, 13, 2, 15. To obtain the possible bootstrap samples, we can randomly select 5 values from this sample with replacement. One possible bootstrap sample is -3,-8,13,2,2. Similarly, we can repeat this process to obtain other possible bootstrap samples, which are 0,-3,13,-8,-8,-3,31,14,-2, -8,-8,-8,-8,-8, and 15,2,15,2,-3.
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Which function models the relationship
between the concentration of the
medication in milligrams, p(t), and the
number of hours since the medication
was taken, t?
Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.
\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs
P(t) = 25.5( 1-16.2%)ˣ
= 25.5((100 - 16.2)/100)ˣ
= 25.5(83.8/100)ˣ
P(t) = 25.5(0.838)ˣ
Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
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Complete question:
9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.
Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?
What are the three types of horizontal asymptotes?
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
PLZ HELP ME!!!!! IF ANSWER IS CORRECT, I WILL GIVE U BRAINLIEST
Answer:
\( 2.58 \times {10}^{8} \)
Step-by-step explanation:
\(9.3. {10}^{7} - 3.4. {10}^{6} \\ = (27 \times 10 - 12) \times {10}^{6}\\ = (270 - 12) \times {10}^{6} \\ = 258 \times {10}^{6} \\ = 2.58 \times {10}^{6 + 2} \\ = 2.58 \times {10}^{8} \)
Answer: i don't know
Step-by-step explanation:
what is this
also i need points! sry
− + + 7 3 4 18 2 5
Answer:
\(49 + 9 \times 4 + 18 \div 10 \\ 49 + 36 + 1.8 \\ 85 + 1.8 \\ 86.8\)
Answer:
32
Step-by-step explanation:
|-7^2+3^2*4|+18/2*5
|-49+9*4|+9*5
|-49+36|+45=32
[RevyBreeze]
Can you prove triangles congruent by SAS?.
The triangle ABC and XZY are proved to be congruent by SAS.
Explain the concept of congruence.Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.
By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)
Here in he given triangle,BC=YZ
AC=XZ
∠ACB=∠XZY
By SAS ΔABC≅ΔXYZ
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