the goal is to test to determine if there is a significant difference between mean value added by the manufacturer and the mean cost of materials in manufacturing assuming a 1% level of significance. use excel to perform the f-test for equality of variances at the 1% significance level. which variable will be group 1? what can you conclude from running the f-test?
If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.
The F-test is a statistical test used to compare the variances of two groups.
In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.
Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.
Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.
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Multiple choice. Answer
The function g(x) = (x - 5)² has a translation of 5 units to the right.
What are some rules for the transformation of functions?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over x-axis, (-x, y).
-f(x) = Reflection over y-axis, (x, -y).
The parent function is a quadratic f(x) = x².
Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.
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How do you write this number using words?
44,038
Answer:
forty four thousand thirty eight
Step-by-step explanation:
Answer:
forty four thousand thirty eight
Step-by-step explanation:
combine the words for the number place + digits.
hope this helps!
Find each quotient. pls help its easy
The answer to number 7 is 7.5
14. A box of mineral water contains 24 bottles from a given factory. A woman bought 135 boxes from the company. If each bottle of water has a mass of 728g, find the total mass in kilograms of all the 135 boxes of water, correct to 1 decimal place.
The total mass of the 135 boxes that the woman bought is 2358.7 kg
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Each bottle of water has a mass of 728g. A box of mineral water contains 24 bottles from a given factory, hence:
Mass of each box = 24 bottles * 728 g per bottle = 17472 g
The woman bought 135 boxes, therefore:
Total mass of boxes = 135 boxes * 17472 g per box = 2358720 g
But 1 kg = 1000 g
2358720 g = 2358720 g * 1 kg per 1000 g = 2358.7 kg
The total mass is 2358.7 kg
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A(n) ________ methodology aims for customer satisfaction through early and continuous delivery of useful software components developed by an iterative process using the bare minimum requirements.
An Agile methodology aims for customer satisfaction through early and continuous delivery of useful software components developed by an iterative process using the bare minimum requirements.
Agile methodology is a software development approach that emphasizes flexibility, collaboration, and iterative development. It focuses on delivering value to customers by prioritizing their satisfaction and adapting to changing requirements throughout the development process. Agile methodologies, such as Scrum or Kanban, promote regular and incremental delivery of working software components.
This allows customers to provide feedback early on, ensuring that the final product meets their needs. By using an iterative approach, Agile methodologies enable teams to continuously refine and improve the software based on customer feedback and changing priorities. The emphasis on delivering useful software components and involving customers throughout the development process sets Agile apart from traditional waterfall methodologies.
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A movie theater put 3 cups of butter for every 4 batches of popcorn they made. After they made 20 batches of popcorn, how much butter would they have used?
The number of cup of butter used to make 20 is 15.
What is simplification?
Simplification of expressions means rewriting the same algebraic expression with no like terms and in a compact manner. Making something simpler is making it less complex.
Given,
3 cups of butter = 4 batches
for 1 batch the cup of butter = 3/4
for 20 batch, the cup of butter = 3(20)/4
= 3*5
=15
Therefore, 15 cups of butter used.
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The drama club is selling tickets to the school play in a room that can hold a maximum of 200 people.
Adult tickets cost $10.00 and child tickets cost $5.00. The club wants to make at least $750 to meet the expenses of the show. Write a system of inequalities to model the situation using x, the pumber of adult ticRets, and y, the number of child tickets.
A system of inequalities to model the situation using x, the number of adult tickets, and y, the number of child tickets is x + y ≤ 200 and 10x + 5y ≥ 750.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.
Let the number of adult tickets = x
Let the number of child tickets = y
The total number of tickets that can be sold = 200
So, the inequality will be -
x + y ≤ 200
Adult tickets costs $10.00 and child tickets costs $5.00.
The total amount of tickets that can be sold = $750
So, the inequality will be -
10x + 5y ≥ 750
Therefore, the inequality equations are - x + y ≤ 200 and 10x + 5y ≥ 750.
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A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 18 centimeters. The height of the figure is 12 centimeters. The portion from the vertex to the perpendicular height is 4 centimeters. The portion from a point to a vertical line created by two vertices is 3 centimeters.
Which of the following represents the total area of the figure?
222cm
240cm
258cm
294cm
Answer:
258cm
it is the vertex's hieght as well as the length of the sides to multiply together and also divide since there is 5 sides
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a tail and then rolling a number greater than 2. The probability of tossing a tail and then rolling a number greater than 2 is ___
Given that:
- A coin is tossed.
- An eight-sided dice is rolled. This is numbered 1 through 8.
1. By analyzing the information provided in the exercise, you can identify that tossing a coin and getting a tail; and rolling a dice getting a number greater than 2 are Independent Events.
2. Knowing that the probability of occurring two independent events together is equal to the product of their probabilities:
• Let be "A": Tossing a tail.
,• Let be "B": Rolling a number greater than 2.
3. Then, the formula is:
\(P(A\cap B)=P(A)\cdot P(B)\)4. You need to find:
\(\begin{gathered} P(A) \\ P(B) \end{gathered}\)You can determine that:
\(P(A)=\frac{1}{2}\)Because the coin only has two faces.
And:
\(P(B)=\frac{6}{8}=\frac{3}{4}\)Because the dice has 8 sides and you need to find a number greater than 2. This gives you a set of 6 possible values:
\(\lbrace3,4,5,6,7,8\rbrace\)Finally, substituting values into the formula and evaluating, you get:
\(P(A\cap B)=\frac{1}{2}\cdot\frac{3}{4}=\frac{1\cdot3}{2\cdot4}=\frac{3}{8}\)Hence, the answer is:
The probability of tossing a tail and then rolling a number greater than 2 is:
\(P(A\cap B)=\frac{3}{8}\)Select the true statements about the substitution method.
a. It may only be used to evaluate definite integrals
b. It is useful to solve the integral ∫2x sin x^2 dx.
c. It is based on the quotient rule for derivatives
d. It utilizes the formula ∫ f(u(x))u' (x) dx = ∫ f(u) du.
e. It is based on the chain rule for derivatives_
Options b, d, and e are the true statements about the substitution method.
b. It is useful to solve the integral ∫2x sin x^2 dx.
d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.
e. It is based on the chain rule for derivatives.
The true statements about the substitution method are:
b. It is useful to solve the integral ∫2x sin x^2 dx.
The substitution method is commonly used to simplify integrals and make them easier to evaluate. It can be applied to various types of integrals, including the given example.
d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.
The substitution method involves making a substitution in the integral by introducing a new variable. This formula represents the fundamental principle of substitution, where the derivative of the substituted function appears in the integral.
e. It is based on the chain rule for derivatives.
The substitution method is based on the chain rule of derivatives. By making an appropriate substitution, the integral can be transformed into a new form that corresponds to a derivative of a simpler function.
Therefore, options b, d, and e are the true statements about the substitution method.
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which of the following is equivalent to 3^4 ? Which of the following is equivalent to 3^ 4 ?
12
81
7
64
81 is equivalent to 3^4
What Is the Power of a Number?
The power of a number stands for how many multiples of the number there are. The power of a number is represented by something called an exponent
When a number is "raised to the second power," it means that the number is multiplied together twice, for example. When a number is "raised to the fifth power," it means that it is multiplied together five times.
we have to solve 3^4
here 3 raised to the fourth power
then 3 is multiplied together 4 times
3*3*3*3
81
Hence ,81 is equivalent tp 3^4
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Pls help! 15 points
It’s for math
Answer:
This equation is in y=mx+b form, where m is the slope, and b is the y-intercept.
So, you're correct. "Y-Intercept" is the correct answer.
Let me know if this helps!
Answer:
y-intercept
Step-by-step explanation:
b is always y-intercept
m is always slope
I need help writing a function rule for this set of values. Thanks!
Answer:
2-1/-2--4= 1/2
0-1/0-2=-1/-2
2-0/-1-0=2/-1
-2--1/4-2=-1/2
can i have a Brainliest plz thank you
A new car is purchased for 28,600 dollars. The value of the car depreciates at
a rate of 9.1% per year. Which equation represents the value of the car after 2
years?
OV 28, 600(0.909) (0.909) Submit Answer
OV=28, 600(0.091)²
OV=28, 600(1 - 0.091)
OV=28, 600(1.091)²
Answer: V = 28,600(0.909)^2
Step-by-step explanation: This is because the value of the car depreciates at a rate of 9.1% per year, which means that the value after the first year will be 0.909 times the original value, and the value after the second year will be 0.909 times the value after the first year. Therefore, we need to multiply the original value of the car by (0.909)^2 to find the value after 2 years.
When talking about a scale drawing or model, _____________ is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. How do we write this as a fraction?
When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.
This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.
When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.
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Detirme the value of x
Answer:
x= 63
Step-by-step explanation:
all angles in a triangle add up to 180.
76 + 41 = 117
180 - 117 = x
x = 63
Hope this helps :)
Answer:
all angles in a triangle add up to 180.
76 +41 = 117
180 - 117 = x
x = 63
PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.
Answer:
C
Step-by-step explanation:
How do I do this? I need all these problems solved pls I really need help and don't care about the process as much but when you put the answers please just put the numbered question they go to
The missing sides of right triangles are, respectively:
Case 1: x = 18.910
Case 2: x = 23.584
Case 3: x = 15.890
Case 4: x = 16.659
Case 5: x = 24.111
And the angles of the right triangles are, respectively:
Case 6: 32°
Case 7: 31°
Case 8: 71°
Case 9: 71°
Case 10: 32°
The exact values of trigonometric functions:
Case 11: cos A = 12 / 13
Case 12: tan C = 3 / 4
Case 13: tan A = 3 / 4
And the trigonometric ratios of right triangles are:
Case 14: tan X = 1.3333
Case 15: sin A = 0.6000
Case 16: cos C = 0.3243
How to analyze right triangles by trigonometric functions
In this question we find 16 cases of right triangles that must be analyzed by trigonometric functions. Trigonometric functions is an important tool to determine missing sides and angles and relationships with sides. Most important trigonometric functions are described below:
sin θ = y / r
cos θ = x / r
tan θ = y / x
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of a right triangle.
The first five cases implies the determination of missing lengths in five right triangles:
Case 1
x = 20 · cos 19°
x = 18.910
Case 2
x = 20 / cos 32°
x = 23.584
Case 3
x = 10 / cos 51°
x = 15.890
Case 4
x = 15 / tan 42°
x = 16.659
Case 5
x = 19 / sin 52°
x = 24.111
The following five cases implies the determination of angles by means of direct and inverse trigonometric functions:
Case 6
tan θ = 16 / 26
tan θ = 8 / 13
θ = 31.608° (32°)
Case 7
tan θ = 6 / 10
θ = 30.964° (31°)
Case 8
tan θ = 76 / 26
θ = 71.114° (71°)
Case 9
tan θ = 67 / 23
θ = 71.053° (71°)
Case 10
tan θ = 26 / 42
θ = 31.759° (32°)
The next three cases implies the computation of the exact values of trigonometric functions:
Case 11
cos A = 24 / 26
cos A = 12 / 13
Case 12
tan C = 24 / 32
tan C = 3 / 4
Case 13
tan A = 27 / 36
tan A = 3 / 4
And the last three triangles implies the values of trigonometric ratios:
Case 14
tan X = 36 / 27
tan X = 4 / 3 (1.3333)
Case 15
sin A = 30 / 50
sin A = 3 / 5 (0.6000)
Case 16
cos C = 12 / 37 (0.3243)
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The lengths of the sides, measures of the angles and the values of the trigonometric ratios are as follows;
1) x ≈ 18.9
2) x ≈ 23.1
3) x ≈ 15.9
4) x ≈ 16.7
5) x ≈ 23.1
6) x ≈ 32°
7) x ≈ 31°
8) x ≈ 71°
9) x ≈ 71°
10) x ≈ 32°
11) cos(A) ≈ 0.9
What are trigonometric ratios?Trigonometric ratios are expressions that specify the relationships between two sides of a right triangle and an interior angle of the triangle.
1) The opposite side = 20 × sin(19°) ≈ 6.5
The adjacent side = 20 × cos(19°) ≈ 18.91
2) cos(30°) = 20/x
cos(30°) = (√3)/2, therefore;
(√3)/2 = 20/x
x = 20/((√3)/2) = 40·√3/3 ≈ 23.1
x ≈ 23.1
3) cos(51°) = 10/x
Therefore;
x = 10/(cos(51°)) ≈ 15.9
4) tan(42°) = 15/x
Therefore;
x = 15/(tan(42°)) ≈ 16.7
x ≈ 16.7
5) sin(52°) = 19/x
Therefore;
x = 19/(tan(52°))
x = 20/(cos(30°)) ≈ 23.1
x ≈ 23.1
6) tan(x) = 16/26
tan(x) = 16/26 = 8/13
x = arctan(8/13) ≈ 32°
7) tan(x) = 6/10
tan(x) = 6/10 = 3/5
x = arctan(3/5) ≈ 31°
8) tan(x) = 76/26
tan(x) = 76/26 = 38/13
x = arctan(38/13) ≈ 71°
9) tan(x) = 67/23
x = arctan(67/23) ≈ 71°
x ≈ 71°
10) tan(x) = 26/42
tan(x) = 26/42 = 13/21
tan(x) = 13/21
x = arctan(13/21) ≈ 32°
11) The trigonometric ratios for cosine indicates that we get;
cos(A) = 24/26 ≈ 0.9
12) Trigonometric ratio for tangent indicates that we get;
tan(C) = 24/32 = 0.75
13) tan(A) = 27/36
27/36 = 3/4
Therefore; tan(A) = 3/4 = 0.75
14) tan(x) = 36/27 = 4/3
tan(x) = 4/3 = 1 1/3
15) sin(A) = 30/50 = 3/5
sin(A) = 3/5 = 0.6
16) cos(C) = 12/37 ≈ 0.32
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BRAINLIEST! URGENT! If you answer both and leave an explanation, I will mark you brainliest!
SOMEONE PLEASE HELP ToT ill make u brain
Answer:
43
Step-by-step explanation:
18 + 4x - 3
18 + 4(7) - 3
18 + 28 - 3
46 - 3
43
You will plug 7 in the x place since x = 7. Hope this helps, thank you !!
Answer:
18 + 28-3 is 43.
Step-by-step explanation:
4x7 28 that's how I did it
anyone knows the answer?!
find the distance between the points (1, 2) and (4, 3)
Evaluate the expression for d = 1.
87d − 91 =
Dakota has a piece of red ribbon that is 6.5 inches long and a piece of purple ribbon that is 2.16 inches long. How much longer is the red ribbon?
Answer:
No
Step-by-step explanation:
no
rectangle wxyz is dilated by a scale factor of 3 3 to form rectangle w'x'y'z'. side z'w' measures 99 99. what is the measure of side zw
The measure of side ZW in rectangle WXYZ is 33.
It is mentioned that rectangle WXYZ is dilated by a scale factor of 3 to form rectangle W'X'Y'Z'. Side Z'W' measures 99. We need to find the measure of side ZW.
To find the measure of side ZW, we need to use the scale factor. Since the rectangle was dilated by a scale factor of 3, we can divide the measure of side Z'W' by the scale factor to find the measure of side ZW.
Identify the scale factor, which is 3.
Identify the measure of side Z'W', which is 99.
Divide the measure of side Z'W' by the scale factor: 99 ÷ 3 = 33.
So, the measure of side ZW in rectangle WXYZ is 33.
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If you take a number, times by 8 then add 6. You get the same as if you took the number multiply it by 3 then subtract 7. What is the number?
Very easy question I will mark you brainliest
1. Is 29 monomial or not monomial ?
Yes or No
2. 5x^7 monomial or not monomial
yes or no
Answer:
1. Yes
2. Yes
Step-by-step explanation:
A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.
\(5x^{7}\) has only one term. So, \(5x^{7}\) is a monomial.
(WILL GIVE BRAINLIEST) Solve for x.
-2(-9x+5)-4x=2(x-5)-4
Simplify your answer as much as possible
Answer:
−2(−9x+5)−4x=2(x−5)−4
Step 1: Simplify both sides of the equation.
−2(−9x+5)−4x=2(x−5)−4
(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)
18x+−10+−4x=2x+−10+−4
(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)
14x+−10=2x+−14
14x−10=2x−14
Step 2: Subtract 2x from both sides.
14x−10−2x=2x−14−2x
12x−10=−14
Step 3: Add 10 to both sides.
12x−10+10=−14+10
12x=−4
Step 4: Divide both sides by 12.
12x
12
=
−4
12
x= -1/3
Step-by-step explanation:
Good luck! Hope this helps! <3
Answer :
\(x = - \frac{1}{3} \)
or you can just write x = -0.3
hope this helps!
Jude types 840 characters in 5 minutes. What is her typing rate in characters per minute?