The vertex is at (-1,-3) move it to (8,10) on the coordinate grid.
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Related Questions
Factinate claims that 84% of teenagers think highly of their mother. To investigate this claim, a school psychologist selects a random sample of 150 teenagers and finds that 135 think highly of their mother. Do these data provide convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84?
1. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest The school psychologist performed the significance test and obtained a P-value of 0.0225.
2. Explain what it would mean for the null hypothesis to be true in this setting.
3. Interpret the P-value.
4. What conclusion would you make at the a = 0.05 level?
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Use the z-distribution, we have that:
1.
The null hypothesis is of \(H_0: p = 0.84\).
The alternative hypothesis is of \(H_1: p > 0.84\).
2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
How the p-value influences the decision?If the p-value is less than the significance level, the null hypothesis is rejected.If the p-value is more than the significance level, the null hypothesis is not rejected.Item 1:
At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:
\(H_0: p = 0.84\)
At the alternative hypothesis, we test if this proportion is greater than 84%, that is:
\(H_1: p > 0.84\)
Item 2:
It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
Item 3:
135/150 = 0.9.
We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
Item 4:
The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
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T/F: an example of a weight used in the calculation of a weighted index is quantity consumed in a base period.
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False. The quantity consumed in a base period is not an example of a weight used in the calculation of a weighted index.
In the calculation of a weighted index, a weight is a factor used to assign relative importance or significance to different components or categories included in the index. These weights reflect the contribution of each component to the overall index value. The purpose of assigning weights is to ensure that the index accurately reflects the relative importance of the components or categories being measured.
An example of a weight used in a weighted index could be market value, where the weight is determined based on the market capitalization of each component. This means that components with higher market values will have a greater weight in the index calculation, reflecting their larger impact on the overall index value.
On the other hand, the quantity consumed in a base period is not typically used as a weight in a weighted index. Instead, it is often used as a reference point or benchmark for comparison. For example, in a price index, the quantity consumed in a base period is used as a constant quantity against which the current prices are compared to measure price changes.
Therefore, the statement that the quantity consumed in a base period is an example of a weight used in the calculation of a weighted index is false.
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Which type of rigid transformation is the equivalent of two reflections across intersecting lines?
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Rotation is the rigid type of transformation which is equivalent to the two reflections across intersecting lines.
Transformation of reflection gives us mirror image of the given geometrical shape or any object along the axis.Two reflections across the intersecting lines change the position of the shape or object in another coordinate plane .It represents the rotation of the given shape with center as the intersection of two given lines.Twice angle formed between the intersecting lines of the given shape.Therefore, the rigid type transformation which is equivalent to two reflection across the intersecting lines is called rotation.
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Write the simplest polynomial function for each set of zeros
Zeros = 2,-2, 4, 1
PLEASEEEEE HELPPPPPPPPPP
Answers
9514 1404 393
Answer:
p(x) = x^4 -5x^3 +20x -16
Step-by-step explanation:
If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:
p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)
__
Multiplying these out gives the result in standard form.
The product of the first two factors is a "special product" recognizable as the difference of two squares.
(x -2)(x +2) = x^2 -2^2 = x^2 -4
The product of the last two factors can be found in the usual way. The distributive property applies.
(x -4)(x -1) = x(x -1) -4(x -1)
= x^2 -x -4x +4 = x^2 -5x +4
Then the full polynomial is the product of these partial products:
p(x) = (x^2 -4)(x^2 -5x +4)
= x^2(x^2 -5x +4) -4(x^2 -5x +4)
= x^4 -5x^3 +4x^2 -4x^2 +20x -16
p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form
Evaluate the expression when z= -12
1/2z^2
Answers
Answer:
Exact Form: z = 0, -2/25
Decimal Form: 0, -0.08
Step-by-step explanation:
I used cymath.com. I highly recommend it. It shows you the steps to the problem you want to solve!
I hope this helps! :)
The last step is to solve for z
How do i find an circles area? please help
Answers
Answer:
Step-by-step explanation:
A=pi*r^2
Given 3x 2
y+2xy−16=0, use implicit differentiation then solve for y ′
.
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Therefore, the derivative of y with respect to x, y', is given by:\(y' = (-2y - 6xy) / (3x^2 + 2x)\).
To solve for y' using implicit differentiation, we will differentiate both sides of the equation with respect to x, treating y as a function of x. Let's begin:
Differentiating \(3x^2y + 2xy - 16 = 0\) with respect to x:
\(d/dx(3x^2y) + d/dx(2xy) - d/dx(16) = 0\)
Applying the product rule and chain rule:
\((6xy + 3x^2(dy/dx)) + (2y + 2x(dy/dx)) - 0 = 0\)
Combining like terms:
\(6xy + 3x^2(dy/dx) + 2y + 2x(dy/dx) = 0\)
Rearranging the equation and isolating dy/dx:
\(3x^2(dy/dx) + 2x(dy/dx) = -6xy - 2y\)
Factoring out dy/dx:
\((3x^2 + 2x)(dy/dx) = -2y - 6xy\)
Dividing both sides by \((3x^2 + 2x):\)
\(dy/dx = (-2y - 6xy) / (3x^2 + 2x)\)
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A cylinder has a height of 30 ft and a volume of 63,679 ft³. What is the radius of the cylinder?
Use 3. 14 for pi and round your answer to the nearest whole number
Answers
Answer:
Radius = 142 ft
Step-by-step explanation:
Step 1: Rewrite formula for volume of a cylinder in terms of radius:
We know that the formula for volume of a radius is:
\(V=\pi r^2\), where
V is the volume,and r is the radius.We can rewrite the formula in terms of radius using the following steps: (1.) Divide both sides by π and (2.) Take the square root of both sides to isolate r, the radius:
\((V=\pi r^2)/\pi \\\sqrt{(V/\pi )}=r\)
Step 2: Plug in the values and use 3.14 for π in volume formula:
Now we can plug in 63679 and 3.14 for π to find r. Then we can round to the nearest whole number at the end:
\(\sqrt{(63679/3.14)}=r\\ 142.407641317=r\\142=r\)
Therefore, the radius of the cylinder is approximately 142 ft.
white shapes and black shapes are used in a game. some of the shapes are circles, some of the shapes are squares.the ratio of the number of white shapes to the number of black shapes is 7:3. the ratio of the number of white circles to white squares is 2:7. the ratio of the number of black circles to black squares is 1:2. work out the fraction of all the shapes are circles. give your answer as a fraction in its simplest form
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The fraction computed shows that 9/32 of the shapes are circles.
How to calculate the informationFind the equivalent ratio for the total shapes:
Total Black Shapes : Total White Shapes = 5 : 11
Multiply by 2:
Total Black Shapes: Total White Shapes = 10 : 22
Find the ratio for the white shapes:
White circles : White squares = 3 : 7
Sum of the units = 3 + 7
Sum of the units = 10
Find the equivalent ratio for the total shapes:
Black circles : Black squares = 3 : 8
Multiply by 2:
Black circles : Black squares = 6 : 16
Sum of the units = 6 + 16
Sum of the units = 22
Combine the ratios:
white circles : white squares : black circles : black square = 3 : 7 : 6 : 16
Circles = 3 + 6
Circles = 9 units
Total = 3 + 7 + 6 + 16
Total = 32 units
Find the fraction of all the shapes that are circles:
Fraction = 9/32
Therefore, 9/32 of the shapes are circles
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Please help me. WILL GIVE BRAINLIEST
Answers
Answer:
d
Step-by-step explanation:
Answer:
third option
Step-by-step explanation:
Given that x = - 2 + \(\sqrt{8}\) is a root
Complex roots always occur as conjugate pairs , thus
x = - 2 + \(\sqrt{8}\) is a root then x = - 2 - \(\sqrt{8}\) is a root
The required factor is then
(x - (- 2 - \(\sqrt{8}\) ) )
helppppppppp plss (q+ (-5)/(3)=8
Answers
Answer:
(q-5)/3=8
q-5=24
q=24+5=29
Answer:
Step-by-step explanation:
(q+(-5)/3)=8
q-5/3=8
q-5=8*3
q-5=24
q=24-5
q=19
THIS IS WRONG CAN SOMEONE CORRECT THIS PLEASE THANK YOU
A football team wants to buy a football. The football costs $52. There are 13 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $28 already.
Solution: Let the amount each team member contributes be x, then
13x + 28 ≥ 52
13x ≥ 52 - 28
13x ≥ 22
x ≥ 22/13
x ≥ 2
Answers
Answer:
heyyyyyyyyyyyyyyy
Step-by-step explanation:
Answer:
sheeshhhhhhhhhhhhh
;)
Step-by-step explanation:
daddy chill
explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
Answers
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
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There are 4 parts to answer in this question:
Question: Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤169.
a] The maximum value of f(x,y) is: [_________________]
b] List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).
Points: [_____________________]
c] The minimum value of f(x,y) is: [__________________]
d] List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).
Points: [_____________________]
Answers
Answer:
Sure, here are the answers to your questions:
a. The maximum value of f(x,y) is 674.
b. The point(s) where the function attains its maximum are (-6,3) and (6,3).
c. The minimum value of f(x,y) is -5.
d. The point(s) where the function attains its minimum are (0,0) and (-3,-1).
Here are the steps on how I got the answers:
First, we need to find the critical points of the function. This can be done by finding the points where the gradient is equal to zero.
The gradient of f(x,y) is given by the following vector:
∇f(x,y) = (4x - 4, 6y)
Setting this vector equal to zero, we get the following system of equations:
4x - 4 = 0
6y = 0
Solving this system of equations, we get the following critical points:
(-6,3)
(6,3)
Next, we need to evaluate the function at each critical point and at the boundary points of the domain.
The boundary points of the domain are given by the following points:
(-13,0)
(13,0)
(0,-13)
(0,13)
Evaluating the function at each of these points, we get the following values:
f(-13,0) = -674
f(13,0) = -674
f(0,-13) = -674
f(0,13) = -674
f(-6,3) = 674
f(6,3) = 674
f(0,0) = -5
f(-3,-1) = -5
Finally, we need to compare the values of the function at the critical points and at the boundary points to find the maximum and minimum values.
The maximum value of the function is 674, which is attained at the points (-6,3) and (6,3).
The minimum value of the function is -5, which is attained at the points (0,0) and (-3,-1)
Step-by-step explanation:
The ratio of the number of Baskin Robbins :Cold stone ice cream cones sold in a day is 11:9.If the number of Baskin Robbins cone sold is 44 .(a)How many cold stone cones are sold ? (b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?
pls answer fast plsssssssssss
Answers
Answer: A. 36
B. 5:11
Step-by-step explanation:
(a)How many cold stone cones are sold?
Let the number of stone colds sold be represented by x.
Therefore, we can form an equation as:
11/9 = 44/x
Cross multiply
11 × x = 44 × 9
x = (44 × 9)/11
x = 36
The number of stone cold sold are 36.
(b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?
The new ratio will be gotten as:
= 20/44
= 5/11
= 5:11
The ratio is 5:11
A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn
Answers
Answer:
5.18%
Step-by-step explanation:
5.76 x 100 = 576
576 ÷ 100 = 5.184
5.184 = 5.18%
Find the value of x.
A 15.0
B. 13.5
C. 9.0
D. 7.5
Answers
Answer:
D
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
\(\frac{x}{7}\) = \(\frac{15}{14}\) ( cross- multiply )
14x = 105 ( divide both sides by 14 )
x = 7.5 → D
Each member of a club is going to receive
a badge.
There are 824 members.
The badges are sold in packs of 15.
Work out the least number of packs of
badges that need to be bought.
Answers
Answer: 55 packs
Step-by-step explanation:
55x 15=825 and there will be one badge left over
2+2 but make it longer and overdo it(have fun with it)
Answers
explanation: 10+10=20; 20-11=9; 9x2=18; 18 divided by 3=6; 6 divided by 2=3; 3+1=4
PLEASE HELP AND SHOW YOUR WORK I WILL MARK YOU BRAINLIESt
Answers
Step-by-step explanation:
if 9 boxes is 42.75 then 1 box is 4.75 dollars
so 13 boxes would be 13X3.75 which is 61.75$
if 9b=$42.75
1b=x
9bx=$42.75b
x=$42.75b÷9b
x=$4.75
Two numbers have a sum of 32 and a difference of 6. Find two numbers.
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Hope this was helpful :)
A group of students are standing in a circle. They are evenly spaced and consecutively numbered starting with 1. The student with number 5 is standing directly across from the student with number 19. How many students are standing in the circle?
Answers
Answer:
30 studentsStep-by-step explanation:
There are 19 - 5 = 14 students between the number 5 and 19, either side, so the total number is:
14 + 2 + 14 = 30 studentsHelp me very fast!!!!!!! Damon’s car can go an average of 18 miles on each gallon of gas.
Choose the equation that models the situation, where m represents the number of miles and g represents the number of gallons of gas.
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Answer:
m= 18g
Step-by-step explanation:
m = 18 × g
12x + 8y = 24 Convert from standard form to slope-intercept form.
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The required equation is y = -(3/2)x + 3 in slope-intercept form.
What is the standard form of linear equations?A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.
For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.
The equation is given in the question, as follows:
12x + 8y = 24
Isolate the variable of y for the above equation,
8y = - 12x + 24
Divided both sides by 8 into the equation,
y = - (12x)/8 + (24)/8
y = -(3/2)x + 3
This equation is in slope-intercept form.
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Which of the following equations have no solutions?Choose all answers that apply:-60x + 32 = 32x + 60 -60x + 32 = 32x - 60 -60x + 32 = -60x - 32-60x + 32 = -60x + 60
Answers
Answer:
-60x + 32 = -60x - 32
Step-by-step explanation:
The first step to solve this question is combining the like terms in each option.
In those that we end up with:
0x = c
In which c != 0, we have no solution. So
-60x + 32 = 32x + 60
-60x - 32x = 60 - 32
-92x = 28
No 0x, so it has solution
-60x + 32 = 32x - 60
-60x - 32x = -60 - 32
-92x = -92
No 0x, so it has solution
-60x + 32 = -60x - 32
-60x + 60x = -32 - 32
0x = -64
0x equaling a value different of 0, so no solution.
-60x + 32 = -60x + 60
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST IM OVERDUE PLZ HELP
Answers
Answer: Two strong parties that win most elections.
Step-by-step explanation: “ The modern two-party system consists of the "Democratic" Party and the "Republican" Party. ... These two parties have won every United States presidential election since 1852 and have controlled the United States Congress since at least 1856.”
This means that the two strong parties are Democrats and the Republicans, those of which who wins most/all elections.
Answer:
B. Two strong parties that win most elections
Step-by-step explanation:
a new energy drink advertise 182 calories for 6 ounces how many calories are in 21 ounces of the drink? There are ____ calories in the 21 ounce drink
Answers
Answer:
636.9 calories = 21 ounces
Step-by-step explanation:
182 calories= 6 ounces
30.3 calories= 1 ounces
636.9 calories= 21 ounces
When statisticians analyse sample data in order to draw conclusions about the characteristics of a population, this is referred to as?
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The terms that describe the statement are data analysis statistical inference and descriptive statistics
How to determine the term that describes the statement?The statement is given as:
When statisticians analyze data in order to draw conclusions about the characteristics of a population.
From the above statement, we have the following highlights:
The term involves data analysisThe analysis is used to derive conclusionsThe conclusion is about the characteristics of a populationThe term that describes the above highlights is data analysis statistical inference.
The term can also be referred to as descriptive statistics.
Hence, the terms that describe the statement are data analysis statistical inference and descriptive statistics
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Help will mark brainliest!
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By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:
x = 11m∠B = 108°m∠B = 36°m∠D = 36°How to find the value of x?Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:
m∠B + m∠C + m∠D = 180°
Then:
13x - 35 + 5x - 19 + 2x + 14 =180
20x -40 = 180
20x = 180 + 40
20x = 220
x = 220/20
x = 11
Now that we know the value of x, we can find the measures of the angles.
m∠B = (13x- 35)° = (13*11 - 35)° = 108°
m∠B = (5x - 19)° = (5*11 - 19)° = 36°
m∠D = (2x + 14)° = (2*11 + 14)° = 36°
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Recursively computing sums of cubes, cont.G About (a) Use induction to prove that the algorithm to compute the sum of the cubes of the first n positive integers (shown below) returnsthe correct value for every positive integer input.SumCube(n)Input: A positive integer n.Output: 1^3 + 2^3 + ... + n^3.If (n = 1), Return (1)s := SumCube(n - 1) // The recursive callReturn (n3 + s)
Answers
By the principle of mathematical induction, we will show that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.
To prove that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input using induction, we will need to show two things:
1. Base case: The algorithm returns the correct value for n = 1.
Base case: When n = 1, the algorithm returns 1^3, which is the correct value for the sum of the cubes of the first positive integer. Therefore, the base case is true.
2. Inductive step: Assume that the algorithm returns the correct value for some positive integer k, and show that it also returns the correct value for k + 1.
Inductive step: Assume that the algorithm returns the correct value for some positive integer k, i.e., SumCube(k) returns 1^3 + 2^3 + ... + k^3.
We need to show that the algorithm also returns the correct value for k + 1, i.e., SumCube(k + 1) returns 1^3 + 2^3 + ... + (k + 1)^3.
Using the recursive definition of the algorithm, we have:
SumCube(k + 1) = (k + 1)^3 + SumCube(k)
By the induction hypothesis, we know that SumCube(k) returns the correct value, so we can substitute it into the above equation to get:
SumCube(k + 1) = (k + 1)^3 + (1^3 + 2^3 + ... + k^3)
Expanding (k + 1)^3, we get:
SumCube(k + 1) = k^3 + 3k^2 + 3k + 1 + (1^3 + 2^3 + ... + k^3)
Simplifying the right-hand side, we get:
SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k^3 + 3k^2 + 3k + 1)
We recognize the last term as (k + 1)^3, so we can substitute it in to get:
SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k + 1)^3
which is the correct value for the sum of the cubes of the first (k + 1) positive integers. Therefore, the inductive step is true.
By the principle of mathematical induction, we have shown that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.
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