Complete Question
The government believes that higher-octane fuels result in better gas mileage for their car. To test this claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with 87-octane first or92-octane first, and the driver did not know which fuel was in the tank.
We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.
Calculate the p-value.
Answer:
The p-value is [tex]p-value = 0.0562[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 11
The test statistics is [tex]t = 1.74[/tex]
The null hypothesis is [tex]H_o : \mu _1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu _1 > \mu_2[/tex]
Here [tex]\mu_1[/tex] is the gas millage for 87-octane fuel while
Here [tex]\mu_2[/tex] is the gas millage for 92-octane fuel
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
[tex]df =10[/tex]
Generally from the student t -distribution table the probability of t = 1.74 at a degree of freedom of [tex]df =10[/tex] is
[tex]p-value = P( t > 1.74) = 0.0562[/tex]
1. 3(x+15)=57
2. 2(x-9)=26
3. 4(x-12)=-32
[tex]solve \: for \: x[/tex]
Step-by-step explanation:
1)3(x+15)=57
3x+45=57
3x=57-45
3x=12
x=12/3.
x=4
2)2(x-9)=26
2x-18=26
2x=26+18
2x=44
x=44/2
x=22
3)4(x-12)=-32
4x-48=-32
4x=-32+48
4x=+16(greater number sign)
x=16/4
x=4
Which quadrant would contain the point of showing 8°C above zero and an increase of 4 people sledding !
A: Quadrant 1
B:Quadrant 2
C:Quadrant 3
D:Quadrant 4
Answer:
yvhj gycvnuvngfyggjcgybkivuv
Answer:
Quadrant 1
Step-by-step explanation:
How many pages are in a small photo book that costs $57?
Answer:
38 pages
Step-by-step explanation:
The cost per page is $1.50. So a book costing $57 would have 57 ÷ 1.50 = 38 pages
Answer:
online it said 38 pages so........:)
Step-by-step explanation:
Middle School has 700 students. 70% of its students are remote
learners. How many students are remote learners?
Answer:
490 students are remote learners
Step-by-step explanation:
Answer:
490
Step-by-step explanation:
hope this helps
have a nice day!
:)
biggg factssss♡♡♡♡lm.aoo
Answer:
this is soo deep lol. free point epic pogg
Can someone help me out here
Answer:
50, 25
Step-by-step explanation:
7500 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it take for the account value to reach 34300 dollars?
It’s asking : the table shows the relationship between the cost of an item and the length of time in months it lasts . What graph represents the data in the table?
1. F
2. H
3. I
4. G
Answer:
F
Step-by-step explanation:
I think
Answer:
F
Step-by-step explanation:
Pleaseeeeeeee!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
2x10=20
2+10=12
20-12=8
10 is 8 more than 2
Jeff collects baseball cards. His collection is getting quite large, so he would like to keep
the cards in an album. He has an average of 10 cards for each of 24 teams. How many
album pages will he need if each page can hold 8 cards (4 on each side)?
Answer:
30
Step-by-step explanation:
10 x 24 = 240
240 divided by 8 = 30
Who can solve this LAST RIDDLE???
Answer:
30 squares?
Step-by-step explanation:
A piano teacher charges $20 per lesson plus a $30 fee for supplies. Another
teacher does not have a supply fee but charges $30 per lesson. After how
many lessons will the cost of the two teachers be the same?
Answer:
3 Lessons
Step-by-step explanation:
Find out the difference between the initial price of each lesson. In this equation it's $10. With that being said, for every lesson the difference will always be $10. So the next lesson would be a $20 lesson and so forth. By the third lesson the difference would be $30. You add the $30 to the $30 per lesson teacher and you'll get $90 which would be equal to the teacher doing it for $30 an hour to begin with.
The total number of lessons when the cost of the two teachers be the same is 3 and this can be determined by forming the linear equation.
Given :
A piano teacher charges $20 per lesson plus a $30 fee for supplies. Another teacher does not have a supply fee but charges $30 per lesson.The following steps can be used in order to determine the total number of lessons will the cost of the two teachers be the same:
Step 1 - Let the total number of lessons be 'x'.
Step 2 - The total amount of money the first piano teacher earn is:
= 20x + 30
Step 3 - The total amount of money another piano teacher earn is:
= 30x
Step 4 - According to the given data, the cost of the two teachers be the same, that is:
20x + 30 = 30x
Step 5 - Simplify the above equation.
30 = 10x
x = 3
For more information, refer to the link given below:
https://brainly.com/question/2263981
Heather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
Answer:
5 hours
Step-by-step explanation:
she works 5 hours each dinner shift
Please help polynomial stuff
PLEASE HELP FAST ANYONE PLEASE!!!!
Answer:
the y intercept is 3!!!!!!!!
PLEASEE HELPPP!
what is the measure of
Answer:
x=12
Step-by-step explanation:
Im not sure which measure you're talking about, but I'll show you what I did here:
A triangle = 180 degrees.
4x + 8x + 4x =16x
-8 - 1 - 3 = -12
180 = 16x - 12 -Add 12 to both sides
192 = 16x -divide by 16 to get x by itself
12 = x
Angle A = 88 degrees (8 times 12 then subtract 8)
Angle B = 47 degrees (4 times 12 then subtract 1)
Angle C = 45 degrees (4 times 12 then subtract 3)
What is it will mark Brainliest
Answer:
y=10
Step-by-step explanation:
If u need work just ask me in the comments!
Answer:
The highest point of y is 16, so the absolute maximum is y=16.
The ratio of plastic bags to paper bags in a grocery store was 5/7. There were 276 bags. How many were plastic bags?
Answer: 115 bags
Step-by-step explanation: 115/161 eqauls 5/7
please help with the question and explanation for the answer, please
Answer:
B
Step-by-step explanation:
to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps
The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many games are in a season?
Answer:
Step-by-step explanation:
You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.
(Please help me with this one it is due in ten minutes :'(
A snail is trying to get to the other side of a park. At what rate is the snail moving?
A) 1/2 foot per minute
B) 1 foot per minute
C) 1 1/2 feet per minute
D) 2 feet per minute
Answer:
I think the answer is C
Step-by-step explanation:
First you need to find 2 coordinates on the graph. (2,3) (4,6)
Use the formula M= y2-y1 ÷ x2-x1
Then m= 6-3 ÷ 4-2
Then m= 3÷2 = 1.5
So the slope should be 1.5 or 1 1/2
Please help me with this question! I would really appreciate it <333
Answer:
C or D definitely not A or B bc it is too close of a number to 24.75 for 15
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You want to find out how much it would be for 15 boxes
(5 , 11.25)
this is the first pair on the table multiply both by 3 because 5 x 3 = 15(boxes)
so we need to find how much it costs so now you multiply 11.25 by 3 which will be 33.75.
I have done this problem in my class and it is a believe me!
A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)
Answer:
113.97 degrees
Step-by-step explanation:
use the cosine rule for finding an angle
cosA = b^2 + c^2 - a^2
2bc
In the given triangle angle A is greatest than any other angle.
What is the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given sides of triangle, a=2cm,b=8cm,c=9cm
cosine law
Cos A = [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144
Cos B = [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36
Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex] = -13/52
A = Cos⁻¹ (141 /144 )
B = Cos⁻¹ (21/ 36 )
C = Cos⁻¹ (-13/52 )
Thus Angle A < Angle B < Angle C.
Therefore, Angle A is the greatest in the triangle.
Learn more about triangles here:
https://brainly.com/question/14712269
#SPJ2
Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added
Answer:$35 for each dress
Step-by-step explanation:
150-45=105
105/3=35
$35 each dress
Robin and Shaon obtained 5/6 and 4/5 of the total marks respectively in the annual examination.
Robin obtained 30 marks more than Shaon.
What is the total marks? And what marks did
everyone obtain?
Answer:
sjsnana.amamakajsakqqmk
what is the sum of (x - 8) - (2x + 2)
Answer:
the answer is 4
Answer:
[tex]-z-10[/tex]
Step-by-step explanation:
Thomas wanted to measure the width of the pond so he set up triangles as shown in the diagram. He claims the two triangles are similar. How wide is the pond?
Answer:
156 ftStep-by-step explanation:
As per similarity, the ratios of corresponding sides are same:
x/120 = 65/50x = 120*65/50x = 156 ftAnswer:
Solution :-:Here we have to write ratio of corresponding ratio.
Let the side be x
[tex] \tt \dfrac{x}{120} = \dfrac{65}{50} [/tex]
[tex] \tt \: x = \dfrac{120 \times 65}{50} [/tex]
X = 156 ftI just need help with answering this question
Answer:
I learned this I I kinda remember what you do is times everything together example 4×7×6 like that do all the sides
Step-by-step explanation:
multiply 17, 12, and 24. then multiply 10, 4, and 12. then add those 2 products.
HOPE THIS HELPS :)
The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The
third number is two more than the first number, x. Which equation can be used to solve for the first number, X?
Ox+ 5x + x + 2 = 45
O x + x + 3 + x + 2 = 45
O x + 3x + 2 + x + 2 = 45
O x + 2x + 3+x+ 2 = 45
The option D is correct
O A. Belonging to a particular region or place
What is the sum of the complex numbers 3 − 4i and 5 + 3i ?
Answer:
8 - i
General Formulas and Concepts:
Algebra I
Combining Like TermsAlgebra II
Standard Form: a + biStep-by-step explanation:
Step 1: Define
(3 - 4i) + (5 + 3i)
Step 2: Simplify
Combine like terms (Z): 8 - 4i + 3iCombine like terms (i): 8 - i