The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Atlanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: Source DF SS MS F P Factor 3 1.30 0.43 1.79 0.157 Error 68 16.45 0.24 Total 71 17.75 Level N Mean StDev Priority Mail Express 18 2.965 0.345 Priority Mail 18 3.044 0.631 First-Class Mail 18 3.296 0.578 Standard Mail 18 3.231 0.341 Using the ANOVA results, compare the average delivery times of the four different types of mail.
Answers
Answer:
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
Step-by-step explanation:
Null hypothesis - H₀: μ₁ = μ₂ = μ₃ = μ₄
Alternative hypothesis - H₁: At least one mean is different.
df1 is factor degree of freedom and df2 is error degree of freedom.
Decision rule - Reject H₀ if F > F₀.₀₅, (df1, df2)
F0.05, df1,df2 is f critical value at \alpha = 0.05
Here df1 = 3 , and df2 = 68
Using Excel,
F₀.₀₅, ₃, ₆₈ = FINV( 0.05, 3 , 68 ) = 2.739502302
So reject H0 if F > 2.739502
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
Related Questions
Ms. Hernandez has $100 to spend on parking and admission to the zoo. The parking will cost 7, and admission tickets will $ 15.50 per person. write and solve an algebraic equation that can be used to determine the number of people that she can bring to zoo, including herself.
Answers
Let:
T = Total cost
B = Ms Hernandez's budget
b = Cost of the parking
a = cost of the admission ticket
n = number of people
so:
\(\begin{gathered} T(n)\le B \\ T(n)=an+b \\ where\colon \\ a=15.5 \\ b=7 \\ B=100 \\ so\colon \\ 15.5n+7\le100 \end{gathered}\)Solve for n:
\(\begin{gathered} 15.5n\le100-7 \\ 15.5n\le93 \\ n\le\frac{93}{15.5} \\ n\le6 \end{gathered}\)She can bring 6 people including herself
Calculator
Enter the unknown value that makes this statement true:
25% of O
is 30.
->
-
1
2
3
Answers
Answer:
X = 120
Step-by-step explanation:
here's your solution
=> we need to find the number whose 25%
is 30
=>. now , let the number be X
=> solve for X
=>. 25/100*X = 30
=> X = 30*100/25
=> X = 120
hope it helps
The area of the triangle below is 1\20 square feet. What is the length of the base?
Answers
Which table represents a function?
Answers
Answer:
Its the first one which is (-3, 1) (0, 0) (-2, -1) (8, 1)
Step-by-step explanation:
You have to check the input table which is the 'x' and make sure there aren't any repeating numbers at all, the output which is the 'y' it is fine is there are repeating numbers.
hope this helps.
Find the area of the region bounded by
• y = √x,
• y = 2-x², and
y = -√2x.
Answers
The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.
Firstly, we'll graph the equations and find the points of intersection:
y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u
(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u
)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.
The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$
We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$
Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
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Sally has 2 cats and each cat eats of a tin of cat food each day.
Sally buys 7 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
days=?
Answers
Answer:
Step-by-step explanation:
9 tins of cat food feed her 2 cats for 18 days
Step-by-step explanation:
Sally has 2 cats
food eaten by 1 cat each day =
food eaten by 2 cat each day= tins
sally buys 9 tins of cat food
then
tins required in = 1 day
1 tin required in
i.e 1 tin required in 2 days
9 tin required for = 9×2 = 18 days
hence , 9 tins of cat food feed her 2 cats for 18 days
#Learn more :
Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?
7 tins of cat food = 3 1/2 days
Rewrite 14 / 25 and 11 / 20 so that they have a common denominator
Answers
The fraction equivalent of the given fractions with the same denominator is written as \(\frac{56}{100} \ and \ \frac{55}{100}\)
The given parameters include:
\(\frac{14}{25} \ and \ \frac{11}{20}\)
To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;
The prime factorization of 25 = 5²
The prime factorization of 20 = 5 x 2²
The LCM of the two numbers = 5² x 2² = 25 x 4 = 100
The fractions can rewritten as follows;
\(\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}\)
Thus, the fraction equivalent of the given fractions with the same denominator is written as \(\frac{56}{100} \ and \ \frac{55}{100}\)
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please help me solve this
Answers
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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What is (2, 4) and (5, −2) in point-slope formula to slope-intercept form
Answers
Answer:
Here ig
Step-by-step explanation:
What is five to the second power in expanded form
Answers
Answer:
20+5
Step-by-step explanation:
Becvause 5 to the second power is 25 and 25 in expanded form is 20+5
HOPE THIS HELPS
PLEASE HELP! To prepare for a bike race, Rex rides his bike for 12 miles each day for 3 days. The app he uses only tracks distance in kilometers. If 1 mile = 1.61 kilometers, what is Rex's distance in kilometers? Round the answer to the nearest hundredth. 7.45 kilometers 19.32 kilometers 22.36 kilometers 57.96 kilometers
Answers
Based on the distance that Rex rode every day for three days, Rex's distance in 3 days in kilometers can be found to be 57.96 kilometers.
How to find the distance in miles?First, find the distance that Rex rode in those three days in miles. This can be found as:
= Number of miles rode per day x Number of days
= 12 x 3
= 36 miles
Then convert this to kilometers.
If one mile is 1.61 kilometers, then 36 miles would be:
= Number of miles x Miles per kilometer
= 36 x 1.61
= 57.96 kilometers
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If Rex rides his bike for 12 miles each day for 3 days. Then distance in kilometers is 57.96.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Speed=Distance / Time
Distance=Speed × Time.
Given that Rex rides his bike for 12 miles each day for 3 days
and 1 mile = 1.61 kilometre.
Let us convert 12 miles to kilometres
12×1.61=19.32 km
Now let us calculate the Distance as the speed is 19.32km and time is 3 days.
By the formula to get distance we have to multiply speed and time.
Distance=19.32×3
=57.96
Hence Rex's distance in kilometers is 57.96.
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Wally completed 7 out of 10 baskets. What percent is this?
Answers
Answer:70%
Step-by-step explanation:you have 7/10.SO u times the whole fraction by 10( 7 times 10 =70 and 10 times 10 =100) which means 70/100 so the percent is 70.
Hope it helps
Write the product in standard form.
(2.3 x 10^2). (1.5 x 10^3)
Please help
Answers
Need help on this question pls help!!!!!!!
Answers
Explanation for mean:
There are 15 dots total throughout 5 lines. 15/5=3. For the mean you add up the total number of dots and divide it by the amount of categories.
Use the data to answer questions 1-8.
8-iron, distance to hole (vards) 20 12 12 8 6 11 7 7 10 12 8 10 11 20
1) Organize the data from least to greatest.
6,7,7,8,8,10,10,11,11,12,12,12,20,20
2) Use the data to create a histogram.
Frequency
5 10 15 20 25 30
Distance to Hole (yds)
3) What is the mean (average) of the data? Round your answer to the nearest tenth.
4) Make a box plot of the data.
5 10 15 20 25 30
Distance to Hole (yds)
5) What is the median of the data?
6) What is the First Quartile(Q1)?
7) What is the Third Quartile(Q3)?
CODIO
Can somebody help with the whole thing?? All besides number 1
Answers
3) To find the mean (average) of the data, add up all the values and divide by the total number of values. Using the data provided, the sum of all the values is 141, and there are 14 values. Therefore, the mean is 141/14 = 10.1 (rounded to the nearest tenth).
4) To create a box plot of the data, we need to determine the minimum, maximum, median, first quartile (Q1), and third quartile (Q3).
Minimum: 6
Maximum: 20
Median: The median is the middle value when the data is arranged in ascending order. In this case, we have an even number of values, so we take the average of the two middle values. The two middle values are 10 and 11, so the median is (10 + 11)/2 = 10.5.
Q1 (First Quartile): The first quartile is the median of the lower half of the data. Since we have 14 values, the lower half consists of the first 7 values when arranged in ascending order. The values are 6, 7, 7, 8, 8, 10, and 10. The median of these values is (7 + 8)/2 = 7.5.
Q3 (Third Quartile): The third quartile is the median of the upper half of the data. Again, we have 14 values, so the upper half consists of the last 7 values when arranged in ascending order. The values are 10, 11, 11, 12, 12, 12, and 20. The median of these values is (11 + 12)/2 = 11.5.
Now, we can construct the box plot:
| (6) |
|_______|________|
(7.5) (10.1) (11.5)
The line in the middle represents the median (10.1), the left boundary represents Q1 (7.5), and the right boundary represents Q3 (11.5). The whiskers extend from the box to the minimum (6) and maximum (20) values.
5) The median of the data is 10.5.
6) The First Quartile (Q1) is 7.5.
7) The Third Quartile (Q3) is 11.5.
I hope this helps! Let me know if you have any further questions.
A. The result is a repeated number.
The event is { }
(Use a comma to separate answers as needed. Type an ordered pair.)
The probability is [ ]
(Type an integer or a simplified fraction.)
B. The second number is 9 or 11.
The event is { }
(Use a comma to separate answers as needed. Type an ordered pair.)
The probability is [ ]
(Type an integer or a simplified fraction.)
C. The first number is even and the second number is odd.
The event is { }
(Use a comma to separate answers as needed. Type an ordered pair.)
The probability is [ ]
(Type an integer or a simplified fraction.)
Answers
Answer:
Answer:
A. The event is (2,2), (4,4), (6,6), (8,8), (10,10), (12,12) and the probability is 1/6.
B. The event is (2,9), (2,11), (4,9), (4,11), (6,9), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 2/6.
C. The event is (2,9), (2,11), (4,9), (4,11), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 5/6.
toooooooooooo ezzzzzzzzzzyyyty
Step-by-step explanation:
find the percent change from 62 to 7
Answers
Answer: 11.29
Step-by-step explanation:
74752/360 simplified as a whole fraction
Answers
Answer:
\(\frac{9344}{45}\)
Step-by-step explanation:
\(\frac{74752}{360}\)
Simplify by 8, and we get
\(\frac{9344}{45}\)
We can't simplify any more, so the answer is \(\frac{9344}{45}\)
The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.
Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case, use the Euclidean algorithm.
Let's find the GCD using the Euclidean algorithm:
Divide 74752 by 360:
74752 ÷ 360 = 207 R 272
Divide 360 by 272:
360 ÷ 272 = 1 R 88
Divide 272 by 88:
272 ÷ 88 = 3 R 8
Divide 88 by 8:
88 ÷ 8 = 11 R 0
Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.
Step 2: Divide both the numerator and denominator of the fraction by the GCD.
74752 ÷ 8 = 9344
360 ÷ 8 = 45
The simplified whole fraction is 9344/45.
A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.
Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
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Please help solve please I’m begging
Answers
Answer:
6) 8.4
7) 3.5
8) 1.8
9)10.89
10) 11.1
11)-8.6
12)9.86
13) 2.2
14) 15.2
15) 11.7
16)-3.4
17)-5.4
18)4.43
19)-11.3
20)4.4
21)17.42
22)3.9
23)-11.01
Step-by-step explanation:
brainliest would be appreciated, but not required. Have a good day! :)
Consider proving the following.
Given Right isosceles △ABC with leg length 2s, right isosceles △WXY with leg lengths s, CA¯¯¯¯¯¯¯¯∥WY¯¯¯¯¯¯¯¯¯
Prove △ABC is similar to △WXY.
A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?
1. Rotate △ABC′ 90∘ about point A.
2. Reflect △WXY in WX←→− to create △WXY′.
3. Translate △ABC′so that point A maps to point W.
4. Find the hypotenuse of △ABC′ in terms of s.
Answers
Answer: 2
Step-by-step explanation:
Point Q is the image of point P under a dilation with center and scale factor 5. If PQ = 18 then what is OP?
Answers
The calculated length of the segment OP is 90 units
Calculating the length of the segment OPFrom the question, we have the following parameters that can be used in our computation:
Scale factor = 5
PQ = 18
The length of the segment OP is calculated as
OP = PQ * Scale factor
Substitute the known values in the above equation, so, we have the following representation
OP = 18 * 5
Evaluate
OP = 90
Hence, the length of the segment OP is 90 units
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Please help by tomorrow
Answers
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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If the mean of 6 numbers is 41 then the sum of these numbers is ?
Answers
Answer:
The answer is 246
Add or subtract the following monomials 25x-(-30x)
Answers
Answer:
Negative times a negative equals a positive
25x + 30x
55x
What percent of 96 is 367
Answers
Answer:
96 is what percent of 367? = 26.16
Step-by-step explanation:
hope this helps
Cassie has test grades of 71, 78 and 83 on the first three tests in her
pre-algebra class. What are the possible scores she can make on the
fourth test in order to make at least a letter grade of B after the fourth
test? A letter grade B means an average of at least 80. Let x represent
the score on the fourth test.
Answers
Answer:
x ≥ 88
Step-by-step explanation:
In order to have at least an average of 80 after 4 tests, the sum of her scores must be at least 80 * 4 = 320 so we can write the following inequality:
71 + 78 + 83 + x ≥ 320
232 + x ≥ 320
x ≥ 88
Answer:
Your correct answer to this problem is x ≥ 88
Step-by-step explanation:
71 + 78 + 83 + x ≥ 320
232 + x ≥ 320
= x ≥ 88
Here are a few pairs of positive numbers whose sum is 34. (3 pts)
a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?
Answers
Answer: 280
Step-by-step explanation:
The products of each pair of numbers are:
1 x 33 = 33
4 x 30 = 120
8 x 26 = 208
14 x 20 = 280
b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).
The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.
y=3x²+3x+1,find the value of the discrimination
Answers
Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
Feeling anxious about another pandemic induced run-on toilet paper, Jessica is making room in a closet for hording toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 57 inches by width 57 inches by height 63 inches. One Angel Soft MEGA roll has diameter 6 inches, height 5 inches.
What is the volume of the closet space?
What is the volume of one roll of toilet paper?
Use 3.14 for π and round to the nearest whole number
How many rolls of Angel Soft MEGA toilet paper can be fit into the closet space?
Answers
The volume of the closet space = 207,936 in³
The volume of the one roll of toilet paper = 141.3in³
How to calculate the volume of the closet?To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.
Where;
length = 57 in
width = 57
height = 64
volume = 57×57×64 = 207,936 in³
The volume of the toilet paper with the shape of a cylinder would be = πr²h
where;
radius = diameter/2= 6/2=3in
height = 5 in
volume of cylinder = 3.14×3×3×5 =141.3in³
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Let A = {1, 2, 3, 11, 12, 13, 18, 19, 20} and B{1, 2, 5, 8, 14, 16, 18, 19}Find the following:LIST the elements in the set A UB:AU B = {Enter the elements as a list, separated by commas. If the result is the empty set, enter DNELIST the elements in the set An B:A B = {Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE> Next Question
Answers
set A = (1, 2, 3, 11, 12, 13, 18, 19, 20)
set B =( 1, 2, 5, 8, 14, 16, 18,19)
A U B = (1, 2, 3, 5, 8, 11, 12, 13, 14, 16, 18, 19, 20)
A n B = (1, 2, 18, 19)
A B = (3, 11, 12, 13)