Complete question :
Formulate the hypothesis 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.)
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
(c) Calculate the test statistic. (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
Answers:
H0: μ1 − μ2 = 0
H1: μ1 − μ2 ≠ 0
Test statistic = - 0.314
Pvalue = 0.7550
Step-by-step explanation:
Mean, xbar = Σx / n
Standard deviation, s = √(Σ(x-xbar) / n-1)
Company A :
Sample size, n = 25
Mean, x1 = 50.6
Standard deviation, s1 = 26.57
Company B :
Mean, x2 = 52.82
Sample size, n2 = 20
Standard deviation, s2 = 20.02
Mean, xbar = Σx / n
Standard deviation, s = √(Σ(x-xbar) / n-1)
Company A :
Sample size, n = 25
Mean, x1 = 50.6
Standard deviation, s1 = 26.57
Company B :
Mean, x2 = 52.85
Sample size, n2 = 20
Standard deviation, s2 = 20.02
The hypothesis :
H0: μ1 − μ2 = 0
H1: μ1 − μ2 ≠ 0
The test statistic :
Test statistic:
t = (x1 - x2)/[√(s²p(1/n1 + 1/n2 )]
Pooled variance = s²p
s²p = ((n1-1)*s1² + (n2-1)*s2² )/(n1+n2-2)
s²p = (24*26.57^2) + (19*20.02^2) / 43
s²p = 571. 125
√(s²p(1/n1 + 1/n2) ;
√572.125(1/25 + 1/20) = 7.169
x1 - x2 ; 50.6 - 52.85 = - 2.25
Test statistic = - 2.25 / 7.169
Test statistic = - 0.314
Using the Pvalue from t score calculator :
Pvalue(-0.314, 43) = 0.755
Pvalue > α ; We fail to reject the Null
one of the nine questions
Answer:
TanA=8/15
SinA=8/17
CosA=15/17
Step-by-step explanation:
can anyone solve this?
Answer:
Using the height theorem:
[tex]n^2=8*4=32=>n=4\sqrt{2}[/tex]
Now we can easily use the pythagorean theorem:
[tex]8^2+(4\sqrt{2})^2 =64+32=96=>m=\sqrt{96} =4\sqrt{6}[/tex]
Last week Jovanna ran 30 miles
more than Rachel. Jovanna ran
47 miles. How many miles did
Rachel run?
Answer: 17 miles
Step-by-step explanation:
47 - 30 = 17
The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.How much rainfall on the seventh day
Answer:
There was 32.5mm of rainfall on the seventh day.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.
The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.
This means that during the week(7 days), the total amount of rain was of:
[tex]6*1 + x = 6 + x[/tex]
How much rainfall on the seventh day ?
This is x. We have that:
[tex]\frac{6 + x}{7} = 5.5[/tex]
[tex]6 + x = 7*5.5[/tex]
[tex]6 + x = 38.5[/tex]
[tex]x = 38.5 - 6 = 32.5[/tex]
There was 32.5mm of rainfall on the seventh day.
last question I have
Math emended. D d did dnend d d d d d dd
Answer:
huh?
Step-by-step explanation:
whats the questionnnnnnn
WILL GIVE BRAINIEST!!
Answer:
its b
Step-by-step explanation:
thankkkkk me later
Omg please help this is IMPORTANT
Answer:
first one is correct and second also but in third it is incorrect and fourth is correct so C is incorrect
Answer:
C
Step-by-step explanation:
the quotient of a number means n divided by or n/
and twelve plus four, means that is the second part of the expression
n/ 12+4 would be correct instead of 12/n +4
A man drove a total round trip distance of 646.25 miles. His car used 12 gallons of gas in one direction and 11.5 on the return trip. What was his average mileage for the entire trip?
Answer: 27.5
Step-by-step explanation:
One of the legs of a right triangle measures 10 cm and its hypotenuse measures 17 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Which of the following expressions represents the solution to the inequality statement?-x ≤ -7 / x ≥ 7 / x ≤ 7 / x ≥ -7 / x ≤ -7
Answer:
x≥7
Step-by-step explanation:
mark me brainliest please
The firefighter needs to drive 3 miles in 3 minutes. How fast should the firefighter drive?
Answer:
60 MPH
Step-by-step explanation:
What is the volume of a cube that has a side of 4 units?
Answer: 64units³
Step-by-step explanation:
The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:
= x × x × x
= x³
In this case, since the cube has a side of 4 units, the volume will be:
Volume of cube = 4³
Volume of cube = 4 × 4 × 4 = 64unit³
Given LP, LM = (3x + 1), MN = (4x –3), NP = (6x – 5), and LM =NP.
M
AN
What is the length of MP?
Answer:
[tex]MP = 12[/tex]
Step-by-step explanation:
Given
[tex]LM = (3x + 1), MN = (4x -3), NP = (6x - 5)[/tex]
[tex]LM = NP[/tex]
Required
Find MP
We have:
[tex]LM = NP[/tex]
This gives:
[tex]3x + 1 = 6x - 5[/tex]
Collect like terms
[tex]3x - 6x = -1-5[/tex]
[tex]-3x = -6[/tex]
Solve for x
[tex]x = 2[/tex]
MP is calculated as:
[tex]MP = MN + NP[/tex]
[tex]MP = 4x - 3 + 6x - 5[/tex]
Collect like terms
[tex]MP = 4x + 6x - 3 - 5[/tex]
[tex]MP = 10x - 8[/tex]
Substitute [tex]x=2[/tex]
[tex]MP = 10*2 - 8[/tex]
[tex]MP = 20 - 8[/tex]
[tex]MP = 12[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Answer:
205.79 or 205.8
Step-by-step explanation:
sin (19) = 67/x *put sin (19) over 1 & cross multiply
x (sin (19)) = 67 *divide by sin (19)
x = 67/sin (19)
x = 205.79 = 205.8
Two airplanes leave an airport at the same time, the first headed due north and the second at a bearing of N42^ E . At 2:00PM, the first airplane is 312 miles from the airport while the second airplane is 487 miles from the airport. Assuming both followed linear paths from the airport, how far apart are the two airplanes at 2:00PM?
Answer:
The two airplanes are about 330miles apart.
Step-by-step explanation:
The diagram interpreting the question has been attached to this response.
As shown in the diagram,
i. the airplanes leave at point C.
ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.
iii. the points A, B and C form a triangle with sides a, b and c.
To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.
c² = a² + b² - 2abcosC --------------(i)
where;
b = 312miles
a = 487miles
C = 42°
Substitute these values into equation (i) and solve as follows;
c² = (487)² + (312)² - 2(312)(487)cos(42)
c² = (237169) + (97344) - 303888cos(42)
c² = (237169) + (97344) - 303888(0.7431)
c² = 334513 - 225819.1728
c² = 108693.8272
Take the square root of both sides
√c² = √108693.8272
c = 329.69
c ≅ 330miles
Therefore, the two airplanes are far apart by 330miles
Solve the system of equations: y = 2x – 8 and y = -2x - 8
Answer:
Oh
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
2x - 8 = -2x - 8
4x - 8 = -8
4x = 0
x = 0
I’m a little confused with this? Can someone walk me through this?
Answer:
A. 5.8
Step-by-step explanation:
From the given graph d has two coordinates;
the first coordinates of d = (0, 0)
the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal
The distance between the two coordinates = distance of d;
[tex]distance \ between \ two \ coordinates = \sqrt{(x_2-x_1)^2 \ + \ (y_2-y_1)^2} \\\\d = \sqrt{(-3-0)^2 \ + \ (-5-0)^2}\\\\d = \sqrt{9 \ + \ 25} \\\\d = \sqrt{34} \\\\d = 5.83\\\\d = 5.8[/tex]
Option A is correct
Which of the following is a Riemann Sum used to estimate?
area under a curve
height of a curve
steepness of a curve
curvature
Answer:
A. Area under a curve
Step-by-step explanation:
Edge 2021
Answer:
the correct answer is A. area under a curve
Step-by-step explanation:
correct on EDGE 2021
Create a proportion for each set of similar triangles. Then solve the missing parts
Help please!
bot answers will be reported
The Sine Function
The tide is the regular rising or falling of the ocean's surface. This is due in large part to the gravitational forces of the moon. The following table represents water level of the tide off the coast of Kings point, N.Y., for a 24 hour period.
February 9th through February 10th of 2009.
Use your graphing calculator to produce a sine regression model for the data in the table.
Round a, b, c, and d to the nearest 0.001.
a. y = 0.519 sin(4.974 x - 3.965) + 0.812
b. y = 4.974 sin(0.519 x - 0.812) + 3.965
c. y = 0.519 sin(4.974 x - 0.812) + 3.965
d. y = 4.974 sin(0.519 x - 3.965) + 0.812
Please select the best answer from the choices provided
Answer:
B. y = 4.974 sin(0.519 x - 0.812) + 3.965
Step-by-step explanation:
I calculated it logically
A. zero
B. negative
C. positive
Answer:
B
Step-by-step explanation:
If its pointing towrds the ground its negative but if its pointing up its positive. If its a straight line on the axis point its zero. Hope this helps.
A bag contains 4 red balls and 6 green balls. You plan to select 3 balls at random. Determine the probability of selecting 3 green balls.
Pwease help i will give you brain thing if its correct ♡
Answer:
1. A, B, C, E
2.Im not sure I think A
hope this helps
have a good day :)
Step-by-step explanation:
Find the area of the object.
Use the formula.
Show me how you substitute into the formula.
Give me the answer with the correct unit.
Select the correct answer.
Which statement describes the graph of function g compared to function ?
One simple kind of transformation involves shifting the entire graph of a function up, down, right, or left. The simplest shift is a vertical shift, moving the graph up or down, because this transformation involves adding a positive or negative constant to the function.
Explain how you use a net to find the surface area of a prism.
Answer:
Hello, Here is your answer.
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
Answer:
Step-by-step explanation:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
Write the word sentence as an inequality.
Three times a number h is at least -12 .
Answer:
Step-by-step explanation:
3h<-12
Answer:
3h [tex]\geq[/tex] -12
Step-by-step explanation:
"3 multiplied by a number h" = 3h // "Is at least" = [tex]\geq[/tex] // -12 = -12
Combine these and you get 3h [tex]\geq[/tex] -12
add
3×+8y-12zand5x-7y+15z
help meee
3x+5x+12z+15z+8y+7y
8x+17z+15y
Answer:
[tex]3x + 8y - 12 z + 5x - 7y + 15z \\ 8x + y + 3z[/tex]
Step-by-step explanation:
I hope this helps you
Il give brainlest
The football team has a total of 25 jerseys. There are 15 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
[]% are medium-sized jerseys.
Answer:
60%
Step-by-step explanation:
15/25=.6 = 60%
you say 15 divided by 100 multiplied by 25