At 5 percentage significance level, we have sufficient evidence to conduct that μ is less than 20.
After getting excellent news, people often behave more generously. After receiving negative news, do they become less giving? Adult Americans tip 20% of the whole bill on average. Give 20 diners a notice on their bill informing them that the weather is going to be poor tomorrow, and then keep track of the tip % they left. The tips are shown in Table 1 as a percentage of the total bill.
Table : 18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 18.2 14.0 17.0 13.6 17.5 20.0 20.2 18.8 18.0 23.2 19.4
Suppose that tip percentage is Normal with ? = 2 and assume that the patrons in this study are a random sample of all patrons of this restaurant. Is there good evidence that the mean tip percentage for all patrons of this restaurant is less than 20 when they receive a message warning them of tomorrow’s bad weather? State \(H_{o}\) and \(H_{a}\) and carry out a significance test. Use significance level 0.05.
The given data is :
18.0, 19.1, 19.2, 18.8, 18.4, 19.0, 18.5, 16.1, 16.8, 18.2, 14.0, 17.0, 13.6, 17.5, 20.0, 20.2, 18.8, 18.0, 23.2, 19.4
Therefore, sample mean,
X = ∑x / n
X = \(\frac{18+19.1+19.2+19.3+....19.5}{20}\)
X = 18.19
Now test : μ < 20 with normal distance
Hypothesis test:
\(H_{o}\) = μ ≥ 20
\(H_{a}\) = μ ≤ 20
This is the lower tailed test.
X = 18.19
σ = 2
n = 20
Significant level, α = 0.05
Test statistics,
z = ( X-μ ) / (σ / \(\sqrt{n}\) )
z = \(\frac{18.19-20}{2\sqrt{20} }\)
z = -4.05
P value is in direction of alternative hypothesis or \(H_{a}\)
Since, \(H_{a}\) ≤ 20 P value = P(Z<-4.05)
P value is the area to the left of the test statistics = -4.05 (from the figure)
P value = P(Z< -4.05) = 0.000 (from z table)
P value = 00000
Rejection rule : Reject \(H_{o}\) if P value < α
Using excel functional normdist ( \(\frac{18.19-20}{2\sqrt{20} }\) , 0 , 1 , TRUE ) or TI's function normaldf ( 1E-99 , \(\frac{18.19-20}{2\sqrt{20} }\) ) answer is 0.0000259078
Decision : Since 0.0000 < 0.05, we reject the null hypothesis
Therefore,
At 5 percentage significance level, we have sufficient evidence to conduct that μ is less than 20.
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please help me with math
Answer:
C. 1056 ft³
Step-by-step explanation:
V = Bh
V = 96 ft² × 11 ft
V = 1056 ft³
In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
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of a triangle, having three sides of all different lengths. is called?
Answer: scalene triangle
Step-by-step explanation:
can be defined as a triangle whose all three sides have different lengths, and all three angles are of different measures. The angles of a scalene triangle follow the angle sum property and always add up to 180.
Answer:
scalene triangle is the triangle
I just need help with a few questions rq (15 points per)
the questions I need help with are 24 a and 27.
PICS BELOW
edit (it won't let me add the second pic so just need help with q27 pls)
Answer:
A. area of larger rectangle: 18x^2
area of smaller rectangle: 8x^2
B. area of shaded region: 10x^2
Step-by-step explanation:
Larger rectangle: A = lw = (6x)(3x) = 18x^2
Smaller rectangle: A = lw = (4x)(2x) = 8x^2
The shaded region = larger rectangle - smaller rectangle
=> 18x^2 - 8x^2 = 10x^2
y'all I need help!!
what's 13-6÷8
Answer:
9.75
Step-by-step explanation:
\(\huge\text{Hey there!}\)
\(\large\boxed{\rm{13 - 6\div8}}\\\\\large\boxed{\rightarrow \rm{\dfrac{13}{1} - \dfrac{6}{8}}}}\\\\\large\boxed{\rm{\rightarrow\dfrac{13}{1} + (\dfrac{-3}{4})}}\\\\\large\boxed{\rightarrow\rm{\dfrac{52}{4} - \dfrac{3}{4}}}\\\\\large\boxed{\rightarrow\rm{\dfrac{52 - 3}{4}}}}\\\\\large\boxed{\rightarrow{\rm{\dfrac{49}{4}\approx 12.25}}}\\\\\\\huge\boxed{\textsf{Therefore, your answer is: \boxed{\mathsf{\bold{\dfrac{49}{4}} \ or\ 12.25}}}}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}\)
In a 19 sided polygon what is the sum of the exterior angles ??
Answer:
the sum of all exterior angle is 360 degree
A pair of angles whose sum is 90 degrees.
Answer: Complementary angles are pair angles with the sum of 90 degrees
Step-by-step explanation: When talking about complimentary angles, always remember that the angles appear in pairs. One angle is the complement of the other angle.
Hope this helps :)
Please mark me as Brainliest
SOMEBODY HELP ITS 30 POINTS
The distance in miles a car travels over time in minutes is shown in the table.
Distance (miles)
Time (minutes)
10
15
20
30
30
45
40
60
Kwame is not sure whether to use a line graph or a line plot to display the data. Which best explains which graph is a better representation of the data?
The line graph because it shows how the number of miles increases over the number of minutes.
The line graph because the numbers in the data table are equally spaced.
The line plot because numbers can be plotted on a number line.
The line plot because there are only a few data points.
Answer:
The line graph because it shows how the number of miles increases over the number of minutes.
Step-by-step explanation:
ake it or leave it
The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The distance in miles a car travels over time in minutes is shown in the table.
Distance (miles) Time (minutes)
10 15
20 30
30 45
40 60
A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.
Hence, the correct answer would be an option (A).
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Factorizar: (11x3 – 2y)2 =
Answer:
66-4y
Step-by-step explanation:
(11x3 – 2y)2
= (33 -2y)2
= 66-4y
BODMAS
(11×3-2y)2
121×9-4y2
1089-4y2
=4y2-1089
What number should be added to both sides of the equation to complete the square?
x² + + 12x = 11
Answer:
36
Step-by-step explanation:
Given
x² + 12x = 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = 11 + 36
(x + 6)² = 47
Answer: 36
Step-by-step explanation:
given:
x² + 12x = 11
perfect square:
a² + 2ab + b²
a² = x² ⇒ x * x
2ab = 12x ⇒ 2(6)x
b² = 6² ⇒ 36
x² + 12x + 36 = 11 + 36
(x+6)(x+6) = 47
Both sides must be added with 36. I took the test : ) Hope it helps.
Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant
Answer:
median is 3.9
Step-by-step explanation:
You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle
0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6
The dimension of the row space of a 3 x 3 matrix A is 2. (a) What is the dimension of the column space of A? (b) What is the rank of A? (c) What is the nullity of A? (d) What is the dimension of the solution space of the homogeneous system Ax = 0?
a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.
(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.
(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:
nullity = number of columns - rank
nullity = 3 - 2 = 1
Therefore, the nullity of matrix A is 1.
(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
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Question 4
Is this a function? Explain, why or why not!
Edit View Insert Format Tools Table
12pt Paragraph BIUA 2 TV 00
2 pts
DI
By using the concept of function, it can be seen that the given figure does not represents a function.
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here the values on the x axis represents the domain and the values on the y axis represents the Range.
From the figure it can be seen that
For x = 2, there are three points on the y axis.
So the point x = 2 maps to different points on the y axis
So this is not a function
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PLEASE HELP WITH THIS QUESTION!
Answer:
78
Step-by-step explanation:
because I know everything
Please help 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 =
Answer:
1.626 and then theres a lot more numbers
Step-by-step explanation:
Answer:
1.62614012e-7
Step-by-step explanation:
this is the answer to 7/9 to the 8th power
Sin36°30’ simplify your answer. Type an integer or a decimal. Round to eight decimal places as needed
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
How many inches would a 3.5-foot object measure?
inches
How many feet would a 27-inch object measure?
Step-by-step explanation:
wow, how complicated can one phrase this ...
the point being :
1 ft = 12 in and vice versa (1 in = 1/12 ft)
so, any measurements given in feet but needed in inches need to be multiplied by 12.
and any measurements given in inches but needed in feet need to be divided by 12.
so,
3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in
27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft
Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
✔ m = 12f
How many inches would a 3.5-foot object measure?
✔ 42
inches
How many feet would a 27-inch object measure?
✔ 2.25
feet
Step-by-step explanation:
PART G: Let c be the unknown side of the triangle. Use this triangle calculator to solve for c. Under Sides, enter 7 for side a and 9 for side b. Under Angles, enter 74 for angle C. Click Calculate once you have entered the information. What is the length of side c?
Part H
Now try to construct a triangle using a different set of measurements. This time, you’ll enter three angle measurements. Return to the Calculator tab, and click the Clear button to begin a new calculation.
Under Angles, enter 45 for A, 40 for B, and 95 for C. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given angles.
Part J
Return to the Calculator tab, and click the Clear button to begin a new calculation. This time, you’ll check for valid triangles given two angles and the side between them.
Under Sides, enter 5 for a. Under Angles, enter 30 for B and 50 for C. Then click Calculate. How many triangles can be created from the given conditions?
Part K
Return to the Calculator tab, and click the Clear button to begin a new calculation. This time, you’ll check for valid triangles given three sides of specified length.
Under Sides, enter 6 for a, 7 for b, and 13 for c. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given side lengths.
please help!
The solutions are given below.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Part A
the dotted line formes the thrid side of the triangle.
part B
The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.
part c
If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.
part D
You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.
part e
The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.
part f
Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters
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what should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4?
-7/12 should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4.
Linear equations in one variable
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For example, 2x+3=8 is a linear equation having a single variable in it.
Let x should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4
Therefore
[ 5/6 + (-2/3 ] - x = 3/4
⇒ ( 5/6 - 2/3) - x = 3/4
⇒ ( 5/6 - 4/6) - x = 3/4
⇒ 1/6 - x = 3/4
⇒ x = 1/6 - 3/4
⇒ x = 4/24 - 18/24
⇒ x = -14/24
⇒ x = -7/12
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Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
The mapping diagram does not represent a function, since the element 9 in set A is mapped to two different elements in Set B.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
From the mapping diagram, we have that the element 9 in Set A is mapped to two different elements of set B, that is, an input is mapped to multiple outputs, hence the mapping diagram does not represent a function.
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!!20 points and Brainliest please help!!!
Which of the following could be factored by grouping?
A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd
D) ac + ad + bc + bd
Hope it helps :)
Answer:
D) ac + ad + bc + bd
Step-by-step explanation:
Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,
Answer:
k = 12
Step-by-step explanation:
The constant of proportionality k is the ratio
k = \(\frac{laps}{swimmers}\)
Use any ordered pair from the table to find k
Using number of laps = 240, number of swimmers = 20 , then
k = \(\frac{240}{20}\) = 12
Helpppppp MEEEEE PLSSSS
Question 4 of 10
Solve the triangle. Round your answers to the nearest tenth.
What is 8 times the sum of x and 15 as an algebraic expression (written answer)
Answer:
8x+120 is the answer
Step-by-step explanation:
8(x+15)
=8x + 8×15
=8x+120
Wendy and Connor each deposit $8,300 into accounts that earn 3. 5% interest for 25 years. Wendy's account earns annual simple interest and Connor's account earns annual compound interest.
How much more interest will they earn?
If is a finite set of cardinality 6 and has the cardinality 9, what is the cardinality of ?
Answer : The cardinality of is 15.
It is the union of and and its cardinality is the sum of the cardinalities of the two sets. Thus, the cardinality of is 6 + 9 = 15. The cardinality of a set is the number of elements in the set. In other words, it is the count of the members of a set. For example, if you have a set containing the numbers 1, 2, 3, 4, and 5, then the cardinality of that set is 5, since there are five elements in the set.
In the given problem, is a finite set of cardinality 6. This means that has 6 elements. Similarly, has a cardinality of 9, which means that it has 9 elements. Since is the union of and , it will have all the elements of both and , which means it will have 6 + 9 = 15 elements. Therefore, the cardinality of is 15.
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The sides of a square garden are x^2 yards long. The area inside the garden is 49 square yards. What is the value of x?
The value of x = 7^(1/4) or approximately 1.626 in which the sides of a square garden are x^2 yards long. And the area inside the garden is 49 square yards.
The area of a square is calculated by multiplying the length of one side by the length of another side. Since the sides of a square are equal, the area can also be found by squaring the length of one side. In this case, the sides of the square garden are x^2 yards long, so the area is (x^2)^2 or x^4 square yards.
According to the problem, the area inside the garden is 49 square yards. Therefore, we can set up an equation to solve for x:
x^4 = 49
To solve for x, we need to take the fourth root of both sides of the equation:
x = √(49)^(1/4)
The fourth root of 49 is 7^(1/4),
so x = 7^(1/4).
Therefore, the value of x is 7^(1/4) or approximately 1.626.
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help me answer this question im struggling
Answer:
A=12
B=2
C=11
Step-by-step explanation:
use M4th W4y to use it
Solve for m:
2r= m/r
m = 2r
m = 2r squared by 2
m=r
m = 2