Answer:
the first one
Step-by-step explanation:
A line passes through the points (0,−2) and (1,1).
Answer:
I made you a graph with the indicated line.
Step-by-step explanation:
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Ulse the standard normal distribution or the f-distribution to construct a 95% confidence interval for the population meare Justify your decion, il newter distribution can bo used, explain why. Interpret the results In a randorn sample of 46 people, the mean body mass index (BMI) was 27.2 and the standard devation was 6.0f. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a 1-distribuition because the sample is random, the population is normal, and σ is uricnown 8. Use a normal distribution because the sample is random, the population is normal, and o is known. C. Use a nomal distribution because the sample is random, n≥30, and α is known. D. Use a t-distribution because the sample is random, n≥30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, of n < 30 , and the population a nat known to be normal.
We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.
In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.
Thus, we need to use the t-distribution to construct the confidence interval.
The formula for the confidence interval is as follows:
Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368
Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).
This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
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algebra 1 substitution
Answer: x=67, y=23
Here are our 2 equations
x+2=3y
x+y+90=180
Simplifying,
x+2=3y
x+y=90
Now that we know this, we can use the 2nd equation to find x in terms of y,
x=90-y
and substitute in the first equation.
(90-y)+2=3y
=>92-y=3y
=>4y=92
=>y=23
So x=90-23
=>x=67
HOPE THIS HELPS
Solve the inequality.
6x-4>20
Answer:
x > 4
Add four to both sides
6x - 4 + 4 > 20 + 4
6x > 24
Divide both sides by 6
6x/6 > 24/6
x > 4
~Hope this helps~
according to exponent rules, when we multiply like bases, we ______ the exponents
how much does 5000 shekels of bronze weigh
Answer:1250
Step-by-step explanation:
Please help, will give brainliest
The measure of angle A is 27°
Define the term Tangent-Secant Theorem?Tangent-Secant Theorem: The product of the measures of the secant segment and its external secant segment is equal to the square of the measure of the tangent segment if a tangent segment and a secant segment are drawn to a circle from an exterior point.
The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.
Since AB is tangent to circle P, we know that angle ABD is a right angle, point P is the center of the circle. Then we have:
We can use the fact that the angle between a tangent and a secant is equal to half the difference between the intercepted arcs to find the measure of angle A:
angle A = (1/2) × (arc BD - arc BC)
angle A = (1/2) × (135 - 81)
angle A = 27°
Therefore, the measure of angle A is 27°
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Biologists Stocked A Lake With 400 Fish And Estimated The Carrying Capacity (The Maximal Population For The Fish Of That Species In That Lake) To Be 5100. The Number Of Fish Tripled In The First Year.(A) Assuming That The Size Of The Fish Population Satisfies The Logistic Equation =
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5100. The number of fish tripled in the first year.
(a) Assuming that the size of the fish population satisfies the logistic equation=P(1-KP),
determine the constant, and then solve the equation to find an expression for the size of the population afteryears.
,
.
(b) How long will it take for the population to increase to(half of the carrying capacity)?
It will take years.
(a) By using the logistic equation P' = kP(1 - P/K), where P represents the fish population and K is the carrying capacity, we can determine the constant k. Given that the population tripled in the first year, we can set up the equation 3P = P(1 - kP/K) and solve for k. The value of k is approximately 0.0005833. We can then use this value to solve the logistic equation and find an expression for the population size after t years.
(b) To determine how long it will take for the population to increase to half of the carrying capacity, we set up the logistic equation P = 0.5K and solve for t. The solution to this equation gives us the time it takes for the population to reach half of the carrying capacity.
(a) To find the constant k, we set up the equation 3P = P(1 - kP/K) using the given information that the population tripled in the first year. By simplifying and solving for k, we find k ≈ 0.0005833. Now we can substitute this value of k into the logistic equation P' = 0.0005833P(1 - P/5100) and solve it to find an expression for the population size after t years.
(b) To determine the time it takes for the population to increase to half of the carrying capacity, we set up the equation P = 0.5(5100) using the logistic equation. By solving this equation, we can find the value of t that represents the time it takes for the population to reach half of the carrying capacity.
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What is the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity? Show all necessary steps.
Please show me step by step tysm^^
choose whether the following statements are true or false. if the statement is always true, pick true. if the statement is ever false, pick false. 1. (2 points) every vector field f(x, y) is a gradient vector field, i.e. there is always some f (x, y) so that f
The statement "every vector field f(x, y) is a gradient vector field" is false. Not every vector field can be expressed as the gradient of a scalar function.
A vector field is a function that assigns a vector to each point in space. A gradient vector field, on the other hand, is a special type of vector field that can be expressed as the gradient of a scalar function, also known as a potential function.
In order for a vector field to be a gradient vector field, it must satisfy a condition called the conservative property. This means that the line integral of the vector field along any closed curve is zero. In other words, the path taken to get from one point to another does not affect the integral.
However, not all vector fields satisfy this property. For example, consider a vector field with nonzero curl. The curl measures the rotational behavior of a vector field, and if it is nonzero, the vector field cannot be expressed as the gradient of a scalar function. Examples of such vector fields include the magnetic field generated by a current-carrying wire and fluid flow with vorticity.
Therefore, the statement that every vector field is a gradient vector field is false, as there exist vector fields that do not possess the conservative property and cannot be expressed as the gradient of a scalar function.
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The statement is false. Not every vector field is a gradient vector field.
A gradient vector field is a vector field that can be expressed as the gradient of a scalar function, also known as a potential function. In other words, if a vector field F(x, y) can be written as F(x, y) = ∇f(x, y), where ∇ represents the gradient operator and f(x, y) is a scalar function, then F(x, y) is a gradient vector field.
However, not every vector field can be expressed in this way. There are vector fields that do not have a scalar potential function associated with them. These vector fields are called non-conservative or non-potential vector fields. Non-conservative vector fields have circulation or path-dependent behavior that cannot be captured by a scalar potential function.
Therefore, the statement "every vector field f(x, y) is a gradient vector field" is false. While some vector fields can be expressed as the gradient of a scalar function, not all vector fields have this property.
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ما النتائج المترتبة على :-
١- الاحتلال البريطاني لمصر.
In Egypt British rule had important political and economic effects. The main interest of the British in Egypt was to keep control of the trade route that ran through Egypt to the Red Sea and then on to India.
What is the length of s?
Answer:
s = 10\(\sqrt{2}\)
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin45° = \(\frac{\sqrt{2} }{2}\) , then
sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{s}{20}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )
2s = 20\(\sqrt{2}\) ( divide both sides by 2 )
s = 10\(\sqrt{2}\)
dillon (2019, unit 2, chapter 14) recommends that the amount of time college students spend studying each week should be about the amount of time spent in class.
Using a proportional relationship, it is found that:
Dillon recommends that the amount of time college students spend studying each week should be about the amount twice the time spent in class.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the rule presented as follows:
y = kx
For this problem, the variables are presented as follows:
Variable x: number of units in class.Variable y: number of hours studied.From the table, the constant is calculated as follows:
k = 24/12 = 18/9 = 12/6 = 2.
Meaning that the amount of study should be twice the time spent in class.
Missing InformationThe table relating the variables is given at the end of the answer.
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write the equation for the hyperbola in standard form if it is not already, and identify the vertices and foci, and write equations of asymptotes. (v-6)² (x+1)² 16 = 1 36 -
The vertices are (-1, 2) and (-1, 10), the foci are approximately (-1, -1.21) and (-1, 13.21), and the equations of the asymptotes are y = ±(3/2)(x + 1) + 6.
To write the equation for the hyperbola in standard form, we need to rearrange the given equation:
(v - 6)² / 36 - (x + 1)² / 16 = 1
The standard form of a hyperbola with center (h, k), horizontal transverse axis, and a vertical conjugate axis is:
(x - h)² / a² - (y - k)² / b² = 1
Comparing the given equation with the standard form, we can identify the following:
Center: The center of the hyperbola is at (-1, 6).
Vertices: The vertices are located on the transverse axis, which is vertical in this case. The distance from the center to each vertex is given by a. In this equation, a² = 16, so a = 4. The vertices are then (h, k ± a) = (-1, 6 ± 4). Therefore, the vertices are (-1, 2) and (-1, 10).
Foci: The foci are also located on the transverse axis. The distance from the center to each focus is given by c. In this equation, c² = a² + b², so c² = 36 + 16 = 52. Taking the square root, we have c ≈ √52 ≈ 7.21. The foci are then (h, k ± c) = (-1, 6 ± 7.21). Therefore, the foci are approximately (-1, -1.21) and (-1, 13.21).
Equations of Asymptotes: The equations of the asymptotes for this hyperbola can be determined using the formula y = ±(b/a)(x - h) + k. In this case, b² = 36, so b = 6. The equations of the asymptotes are then y = ±(6/4)(x + 1) + 6, which simplifies to y = ±(3/2)(x + 1) + 6.
In summary, the equation of the hyperbola in standard form is:
(x + 1)² / 16 - (v - 6)² / 36 = 1
The vertices are (-1, 2) and (-1, 10), the foci are approximately (-1, -1.21) and (-1, 13.21), and the equations of the asymptotes are y = ±(3/2)(x + 1) + 6.
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how to find the area of a circle with radius
Answer:
π (radius) square
where π value is 22/7
A club has 15 members and needs to choose 2 members to be co-presidents. In how many ways can the club choose its co-presidents?
Answer:
15 choose 2 = 105
\(=\frac{15!}{2!\left(15-2\right)!}\)
Step-by-step explanation:
a researcher calculated that the total sum of squares for a regression equation was 153.7, and the error sum of squares was 82.6. what is the proportionate reduction in error for knowing the value of the independent variable?
The proportionate reduction in error for knowing the value of the independent variable is 0.54.
What is independent variable ?The variable which does not depend on any variable and hence independent are known as independent variable.
Given that,
sum of squares for a regression equation was 153.7 = SST
error sum of squares was 82.6 = SSE
SS (reg) = SST - SSE
153.7 - 82.6
SS(reg) = 71.1
The proportionate reduction in error for knowing the value of the independent.
= 1 - \(\frac{(SS)reg}{SST}\)
= 1 - \(\frac{71.1}{153.7}\)
= 1 - 0.46
= 0.54
The proportionate reduction in error for knowing the value of the independent variable is 0.54.
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Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.
Find the mABC
Find the mEBD
Find the mABE can someone help me plz
Answer:
mABC=130°
mEBD=130°
mABE=50°
Step-by-step explanation:
The table shows a schedule of Inga’s payment plan for a car. Inga’s Payment Plan for the First 3 Years Year Balance Monthly Payment End of Year Balance 1 $19,691. 28 $273. 49 $16,409. 40 2 $16,409. 40 $273. 49 $13,127. 52 3 $13,127. 52 $273. 49 $9,845. 64 How many more years will it take Inga to pay off the loan? 2 years. 3 years 4 years 6 years.
The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.
The total year it will take to pay off the loan is 3 years. The option 2 is the correct option.
What is monthly payment?The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.
Given information-
The table between the following terms is arranged below,
Inga’s Payment Plan for the First 3 Years, Year Balance Monthly Payment, End of Year Balance-
1) $19,691.28 $273.49 $16,409.40
2)$16,409.40 $273.49 $13,127. 52
3)$13,127. 52 $273.49 $9,845. 64
The amount of $273.49 is deducting from her account each month. As the number of months in a e year are 12. Thus the yearly amount is deducting from account,
\(=273.49\times12\\=3281.88\)
Hence, the yearly amount is deducting from account is $3281.88.
End of the third column of the table the end of year balance of her loan is $9285.64.
Thus the amount which has to pay be paid is $9285.64.
As the the yearly amount is deducting from account is $3281.88. Thus the total year (\(t\)) it will take to pay $9285.64 is,
\(t=\dfrac{9285.64}{3281.88} \\t=3\)
Thus the total year it will take to pay off the loan is 3 years. The option 2 is the correct option.
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Answer:
number 2
Step-by-step explanation:
For events A, B, and C we have that
P(A)=0.24,
P(B)=0.26,
P(A n B)=0.05,
P(A n C)=0.05,
P(B n C)=0.05,
P(A n B n C)=0.02 and P((A u B uC)^/)=0.33,
find P(C)
How should i go about this
Answer:
give me brainlist please
Step-by-step explanation:
We can use the formula for conditional probability and the formula for the probability of the union of events to find P(C).
Using the formula for conditional probability, we can find P(A|B) = P(A n B) / P(B) = 0.05 / 0.26 = 0.192
Using the formula for conditional probability again, we can find P(A|C) = P(A n C) / P(C) = 0.05 / P(C)
Since A and C are independent events, we know that P(A|C) = P(A), so we can write:
0.05 / P(C) = 0.24
Solving for P(C) we get P(C) = 0.05/0.24 = 0.208
Alternatively, we can use the formula for the probability of the union of events:
P(A u B u C) = P(A) + P(B) + P(C) - P(A n B) - P(A n C) - P(B n C) + P(A n B n C)
We know that P(A u B u C) = 1 - P((A u B u C)^/) = 1 - 0.33 = 0.67
and we know the values of P(A), P(B), P(A n B), P(A n C), P(B n C), P(A n B n C)
We can substitute these values into the above equation to find P(C)
P(C) = 0.67 - 0.24 - 0.26 + 0.05 + 0.05 + 0.05 - 0.02 = 0.208
So P(C) = 0.208
Evaluate using integration by parts. f(x+4) ln x dx O 0x² In x-x² + 4x + C Ox² In x-x² - 4x + C O in x-x² - 4x + C In: 0x² In x-x² + C
The first term involving the product of ln(x) and the integral of f(x+4), and the second term involving the integral of the reciprocal function (1/x) and the integral of f(x+4).
To evaluate the integral ∫f(x+4)ln(x)dx using integration by parts, we need to identify u and dv. Let's choose:
u = ln(x)
dv = f(x+4)dx
Now we need to find du and v:
du = (1/x)dx
v = ∫f(x+4)dx
We don't have the exact form of f(x+4), so I'll leave it as v. Now, we can apply integration by parts formula:
∫udv = uv - ∫vdu
Substitute the values of u, dv, du, and v:
∫ln(x)f(x+4)dx = ln(x)∫f(x+4)dx - ∫(1/x)∫f(x+4)dx dx
Without the specific form of f(x+4), it is not possible to provide an exact answer. However, the final answer will be in this format, with the first term involving the product of ln(x) and the integral of f(x+4), and the second term involving the integral of the reciprocal function (1/x) and the integral of f(x+4).
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Imagine some DEQ: y'=f(x,y), which is not given in this exercise.
Use Euler integration to determine the next values of x and y, given the current values: x=2, y=8 and y'=9. The step size is delta_X= 5. 2 answers
Refer to the LT table. f(t)=6. Determine tNum,a,b and n. 4 answers
Using Euler integration, the next values of x and y can be determined as follows:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
What are the updated values of x and y using Euler integration?Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.
To determine the next values of x and y, we use the following formulas:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
Substituting the given values into the formulas, we have:
x_next = 2 + 5 = 7
y_next = 8 + 5 * 9 = 53
Therefore, the updated values of x and y using Euler integration are x=7 and y=53.
It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.
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Can someone please help me out?
Please make it quick
Answer:
35cm
Step-by-step explanation:
Answer:
35 :)
Step-by-step explanation:
mutiply by the length 7 and the 5 width
Select all statements that are true of polynomials:
Answer:
All of them are true except the 5th from the top
Step-by-step explanation:
5 tractors with the same power working together had not yet mowed 60% of the field when 3 of them left the job. How many hours did the other 2 tractors continue to work to finish harvesting the field, if it is known that exactly 0 of the field had been mowed after 6 hours 0,6
The information given is not sufficient to solve for the number of hours the remaining 2 tractors worked to finish harvesting the field.
How to solve similar problems with complete informationTo solve for this, additional information is required such as the mowing speed of each tractor, the size of the field, and the amount of the field that was mowed before the 3 tractors left the job.
With this information, you can determine the total mowing time required to mow the entire field, and then subtract the 6 hours the 5 tractors worked together to find the time the remaining 2 tractors worked.
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the number of telephone lines in each country in central america and the caribbean is shown above in a dot plot. the number of telephone lines in each country has been rounded to the nearest 250250250 thousand. according to the dot plot, what is the median number of telephone lines in thousands?
The median number of telephone line in thousands is 0
The number of telephone lines in each country = 250000
From the given dot plot
The data set will be
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 250, 250, 250, 250, 250, 500, 750, 750, 1000, 1000, 1250, 1750
The median of the data set is the middle term of the ordered data set. The order of the data set maybe ascending or descending order
There are 28 terms in the data set the middle terms will be 14th and 15th
Both 4th and 15 terms are 0
Therefore, the median is 0
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Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were:Which list shows these diagonal lengths in order from greatest to least?
Answer:
Greatest to least...
4 to the power of 13, 14 2/5, 14.33
Step-by-step explanation:
I got this correct on my test
Solve the following exponential equation. Express your answer as both an exact expression and a decimal approximation rounded to two decimal places. Use e= 2.71828182845905.
Step 1
Given;
\(e^{-3x-3}=33^{2x+8}\)Required; Solve the following exponential equation. Express your answer as both an exact expression and a decimal approximation rounded to two decimal places.
Step 2
Solve the equation
\(\begin{gathered} Add\text{ natural logarithm to both sides} \\ lne^{-3x-3}=ln33^{2x+8} \\ -3x-3=(2x+8)(ln33) \end{gathered}\)\(\begin{gathered} -3x=2xln33+8ln33+3 \\ -3x-2xln33=8ln33+3 \\ x(-3-2ln33)=8ln33+3 \\ \frac{x(-3-2ln33)}{(-3-2ln33)}=\frac{8ln33+3}{(-3-2ln33)} \\ x=\frac{8ln33+3}{(-3-2ln33)} \end{gathered}\)Answer;
\(\begin{gathered} As\text{ an exact expression, x =}\frac{8ln(33)+3}{-3-2ln(33)} \\ Approximation\text{ to 2 decimal places=-3.10} \end{gathered}\)