Answer:
x = 67/4
Step-by-step explanation:
Let x = smaller number and y = bigger number
Then x +y = 64 and y = 3x-3
Plugging y into x+y = 64
x + 3x -3 = 64
4x = 67
x = 67/4
Hope it helps.
The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contain a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B.
Company A
34 59 43 30 3
32 42 85 30 48
110 50 10 26 70
52 83 78 27 70
27 90 38 52 76
Company B
46 63 43 33 65
104 45 27 39 84
75 44 34 51 63
42 34 34 65 64
(a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.)
A)H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
B) H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
C)H0: μ1 − μ2 < 0
Ha: μ1 − μ2 = 0
D) H0: μ1 − μ2 ≠ 0
Ha: μ1 − μ2 = 0
E) H0: μ1 − μ2 ≥ 0
Ha: μ1 − μ2 < 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
Company A______ min.
Company B______ min.
(c) Calculate the test statistic. (Round your answer to three decimal places.)
test statistic=
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
A) Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time
B) Do not Reject H0. There is statistical evidence that one airline does better than the other in
terms of their population mean delay time.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
D) Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
Answer:
A)H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
(b) Means
Company A___50.6___ min.
Company B___52.75___ min.
c)The t-value is -0.30107.
The p-value is 0 .764815.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
Step-by-step explanation:
A)H0: μ1 − μ2 = 0
i.e there is no difference between the means of delayed flight for two different airlines
Ha: μ1 − μ2 ≠ 0
i.e there is a difference between the means of delayed flight for two different airlines
(b)
Company A___50.6___ min.
Company B___52.75___ min.
Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25
= 1265/25= 50.6
Mean of Company B = x`2= ∑x/n =
=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20
= 1055/20= 52.75
Difference Scores Calculations
Company A
Sample size for Company A= n1= 25
Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24
Mean for Company A= x`1= 50.6
Total Squared Difference (x-x`1) for Company A= SS1: 16938
s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75
Company B
Sample size for Company B= n1= 20
Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19
Mean for Company B= x`2= 52.75
Total Squared Difference (x-x`2) for Company B= SS2=7427.75
s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93
T-value Calculation
Pooled Variance= Sp²
Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)
Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65
s2x`1 = s2p/n1 = 566.65/25 = 22.67
s2x`2 = s2p/n2 = 566.65/20 = 28.33
t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3
The t-value is -0.30107.
The total degrees of freedom is = n1+n2- 2= 25+20-2=43
The critical region for two tailed test at significance level ∝ =0.05 is
t(0.025) (43) = t > ±2.017
Since the calculated value of t= -0.30107. does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.
The p-value is 0 .764815. The result is not significant at p < 0.05.
In this exercise, it is necessary to use the knowledge given by the airlines and the flights, having as a solution:
a)[tex]H_0: \mu_1 -\mu_2 = 0\\H_a:\mu_1 -\mu_2\neq 0[/tex]
b) Means: Company A 50.6 min.
Company B 52.75 min.
c)The t-value is -0.30107.
The p-value is 0 .764815.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
A)[tex]H_0: \mu_1 -\mu_2 = 0[/tex]
There is no difference between the means of delayed flight for two different airlines:
[tex]H_a:\mu_1 -\mu_2\neq 0[/tex]
There is a difference between the means of delayed flight for two different airlines.
(b) Mean of Company A[tex]= x_1= \sum{x/n} = 1265/25= 50.6[/tex]
Mean of Company B [tex]= x_2= \sum{x/n} =1055/20= 52.75[/tex]
C) Difference Scores Calculations:
Company A:
Sample size for Company [tex]A= n1= 25[/tex]
Degrees of freedom for company [tex]A= df1 = n1 - 1 = 25 - 1 = 24[/tex]
Mean for Company [tex]A= x_1= 50.6[/tex]
Total Squared Difference for Company [tex]A= SS1: 16938\\s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75[/tex]
Company B:
Sample size for Company [tex]B= n1= 20[/tex]
Degrees of freedom for company [tex]B= df2 = n2 - 1 = 20 - 1 = 19[/tex]
Mean for Company[tex]B= x_2= 52.75[/tex]
Total Squared Difference for Company [tex]B= SS2=7427.75\\s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93[/tex]
T-value Calculation
Pooled Variance= Sp²
[tex]Sp^2= ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)\\Sp^2= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65\\s2x_1 = s2p/n1 = 566.65/25 = 22.67\\s2x_2 = s2p/n2 = 566.65/20 = 28.33\\t = (x_1 - x_2)/\sqrt{s2x_1 + s2x_2} = -2.15/\sqrt{51} = -0.3[/tex]
The t-value is -0.30107.
The total degrees of freedom is [tex]= n1+n2- 2= 25+20-2=43[/tex]
The critical region for two tailed test at significance level ∝ =0.05 is [tex]t(0.025) (43) = t > 2.017[/tex]
Since the calculated value of t= -0.30107. does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.
The p-value is 0 .764815. The result is not significant at p < 0.05.
Learn more: brainly.com/question/14356533
If there were 30 questions on a test, and John got 24 of the correct, what is the percentage of the number of questions John got correct?
Answer: he got 80/100 or 80% right
Step-by-step explanation:
24/30 = 12/15
12/15 as a percent:
100/15 = 6.66666666666667
12 x 6.66666666667
15 x 6.66666666667
= 80/100 or 80%
calculate the size of angle x
Answer:
16
Step-by-step explanation:
Someone please help me, this test determines if I pass or not.
Answer:
Your answer is C :)
can anybody help me please
Answer:
Is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given : M, N, O are midpoints of AB, BC, AC Complete the following statements
MNOA is a
There were 8 pizzas at the pizza party for two families. The Houston family ate 2 2/3 pizzas.
The Ozark family ate 2 5/6 pizzas.
What whole number is the closest estimate of how many pizza was left
Answer:2 pizzas
Step-by-step explanation:
2 2/3 and 2 5/6 can both be rounded to 3. Double that and you get 6. Since there were 8 pizzas originally,subtract 6 from 8 to get 2 remaining pizzas.
Answer:
2 pizzas
Step-by-step explanation:
express 0.6 + 0.47 in the form p/q where p and q are integers q are not equal to 0
Answer:
[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]
Step-by-step explanation:
Given
[tex]0.6 + \bar 0.47[/tex]
Required
Express as x/y
Let
[tex]x = \bar 0.47[/tex]
This implies that:
[tex]x = 0.4747[/tex] --- (1)
Multiply by 100
[tex]100x = 47.4747[/tex] --- (2)
Subtract 1 from 2
[tex]100x - x = 99x[/tex]
This gives
[tex]47.4747 - 0.4747 = 47[/tex]
So:
[tex]99x = 47[/tex]
Solve for x
[tex]x = \frac{47}{99}[/tex]
This implies that:
[tex]\bar 0.47 = \frac{47}{99}[/tex]
[tex]0.6 + \bar 0.47[/tex] becomes
[tex]0.6 + \bar 0.47 = 0.6 + \frac{47}{99}[/tex]
Express 0.6 as fraction
[tex]0.6 + \bar 0.47 = \frac{6}{10} + \frac{47}{99}[/tex]
Take LCM and solve
[tex]0.6 + \bar 0.47 = \frac{99*6+10*47}{990}[/tex]
[tex]0.6 + \bar 0.47 = \frac{1064}{990}[/tex]
Simplify
[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]
Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is given by the following
function
A(w)= 700 - 17w
Answer the following questions.
(a) How much money does Donna still need after 6 weeks?
s
(b) If Donna still needs $411, how many weeks has she been saving?
Answer:
Part A:
She would need $598 after 6 weeks of collecting money.
Part B:
She would have waited 17 weeks to have $411 left.
Step-by-step explanation:
Part A:
Replace w in 700 - 17w with 700 - 17(6).
This would give you $598 left until $700 has been reached.
Part B:
Replace w in 700 - 17w with 700 - 17(17).
This would give you $411 left until $700 has been reached.
please please help me!!!!!!!
Answer: there is your answer and how
Step-by-step explanation:
write an addition equation for a triangle with side lengths of 3, √2, √7
Answer:
3² = (√2)² + (√7)²
Step-by-step explanation:
The given sides to us are 3 , √2 and √7. We can check if these are the sides of right angled triangle.
For that , we can use Pythagoras Theorem , which is h² = b² + p² . Here 3 is the longest side so , it can be hypotenuse.=> h² = p² + b²
=> 3² = (√2)² + (√7)²
=> 9 = 2 + 7
=> 9 = 9
Hence the ∆ is right angled . Hence the addition equation is 3² = (√2)² + (√7)² .Brainliest pls help
Find the surface area and volume of the prism. Round your answer to nearest tenth.
With this prism, first separate it into a rectangular prism and a right triangle prism.
First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3
The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.
With this, plug the numbers in for both prisms to get the volume of each of them:
Rectangular prism Volume
5*5*6.3
157.5
Right triangle prism Volume
(3*5*6.3) / 2
94.5 / 2
47.25
Lastly, combine these two values to get the total volume:
157.5 + 47.25 = 204.75 (Round Up) -->
204.8 cm^3 = Total Volume
Surface Area:Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.
First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:
8 * 6.3 = 50.4
Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.
5.8 * 6.3 = 36.54
Then, the top side with the lengths 5cm and 6.3 cm.
5.3 * 6.3 = 33.39
After that, the left side face that opposite to the slantly one:
5 * 6.3 = 31.5
Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:
1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).
So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:
1/2 x (5+8) * (5)
1/2 x (13) * (5)
1/2 x (65)
32.5
Since there's two of them, times this by 2:
32.5 * 2 ---> 65.
Now, with the area of all of the faces, these can be added up for the total surface area:
50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->
216.8 cm^2 = Total Surface Area
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
Answer:
y=2
Step-by-step explanation:
Help pls I rlly need help it’s important
Answer:
2. 112
3. 78
5. 672
7. 149.8
9. 17.5
10. 19360
11. 64 000
13. 29
14. 350240
15. 386
16. 224
17. 0.9071847
Step-by-step explanation:
3x-8= 4
What is the first and second steps in solving this equation?
a. Multiply each side by 3
b. Divide each side by 3
c.Add 8 to each side
d. Subtract 8 from each side
Somebody know the answer?
arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12
Answer:
11/12, 5/7, 1,8, 1/4, 1/2
Step-by-step explanation:
PLEASE HELP I DON’T UNDERSTAND
Answer:
yea I don't understand either kid, it's upside down.
Step-by-step explanation:
Which fraction is greater 2/5 or 4/10
They are equal. 2/5 is 4/10.
Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.
Answer: A, D, and E
Step-by-step explanation:
If P=(5,4), Find the image of P under the following rotation.
180° counterclockwise about the origin.
([?], [?])
Answer:
(–5 , –4)
Step-by-step explanation:
when you rotate 180° whether clockwise or counterclockwise, the value of x and y will remain the same, but you need to change the + to – and – to +
One more question 50 points
Answer:
5 complete scarves
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Total yarn = (amount of yarn per scarf) (amount of scarfs)
(8/9) = (1/6) (amount of scarfs)
amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.
simplify 1/a+b + 1/a-b + 2b/a^2-b^2
Answer:
−a^2 b^2 + 2a + 2b
_________________
a^2
Step-by-step explanation:
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
how much would be in your savings account in 11 years after depositing $150 today if the bank pays 7% a year
Select the correct answer.
If , what is the value of ?
A.
24
B.
50
C.
84
D.
75
heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj
18
The measures tanker are shown
12 inches
10 inches
8 inches
Enter the come of the coolerin cubie inches
Answer:
78
Step-by-step explanation:
14. Which step should be placed in the blank to make the solution correct?
V25 = 5 = 51 =
= (5 - 5)2 = 25
hich
A. 5 * = 5 + 5
B.
52+2 = 52.52
C. (51)
D. 52 + 5
Help me plz what is the theme
Making new friends is too difficult, so you shouldn’t try.
You have to take risks in order to get rewards.
Jared felt lonely and sad because he was too afraid to take a chance.
Honesty is always the best policy.
Answer:
There is no passage/short story etc. to base this question off of, but if you copy and paste it I'll come back and edit my answer :)
what is a decimal in mathematics
Answer:
a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Step-by-step explanation:
Write -9 9/16 as a decimal
Answer:
-8.4375
Step-by-step explanation:
convert -9 9/16 to a improper fraction.
-9 x 16 = -144
-144+9= -135
-135 divided by 16 = -8.4375