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]
You bought a video game for $35. You got it on sale
for 25% off. What was the price before the sale?
Which formula do we use to solve this?
A.Final Price Formula
B.Original Price Formula
Answer:
Sorry I feel bad I don't kt the answer sorry hope you find the answer tho
Step-by-step explanation:
sorry
Find the volume of the rectangular prisim 18 in 10 in 5 in
Answer:
[tex]900m^3[/tex]
Step-by-step explanation:
Volume is found when you multiply length by height by width.
So, in this case, 18 times 10 times 5.
[tex]18*10*5=180*5=900[/tex]
So, [tex]900m^3[/tex] is the answer
Hope this helped! :)
What is the ratio of the side lengths of a shape to the area of that shape?
Answer:
The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.
What is the quotient of 3/4 divided by 1/5?
The quotient is
3 and ___________
Answer:
The quotient is 3 and [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
To find the quotient of the division (which is just the solution, really), we have to solve the division itself:
[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]
[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]
[tex]= \frac{15}{4}[/tex]
Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.
Therefore, we transform the fraction as thus:
[tex]\frac{15}{4}[/tex]
[tex]= 3 \frac{3}{4}[/tex]
Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].
Hope this helped!
easy math if you can answer ill give brainlest
Answer:
16= 2 (3+b)
16 = 6+2b
10 = 2b
b = 5
Step-by-step explanation:
UB nu un MB a nshauIduxoa
-10×5+5=-9×5 is this a true or false statement
Answer:
True
Step-by-step explanation:
-10×5+5=-9×5
-45=-45
So it's 100% true
Because -45 is equal to -45
-2=3+v
Help please ty very much
Answer:
v = -5
Step-by-step explanation:
to get v by itself, you must subtract 3 from both sides, not only to cancel out the positive 3 but to keep both sides equal. this leads to -5 = v so that's your answer.
Answer:
Your answer is: [tex]V= -5[/tex]
Solve for v by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
Solve the inequalities in Exercises 17 to 20 and show the graph of the solution in each case on number line.
17. 3x – 2 < 2x + 1
Answer:
x < 3
Step-by-step explanation:
3x - 2x - 2 < 1
3x - 2x < 1 + 2
x < 1 + 2
x < 3
For the graph, look at the picture.
What is the solution to the following system of equations?
2x + y = 0
x + 2y = 3
Group of answer choices
(0, 0)
(-1, 2)
(2, -4)
(-5, 4)
Write each number as a product using the GCF as a factor, and apply the Distributive Property. 30+78
Answer:
108
Step-by-step explanation:
Simplify
6y(2x +9) – 3(x — 4xy)
Answer: 3 • (8yx + 18y - x)
Step-by-step-explain : STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
x - 4yx = -x • (4y - 1)
Equation at the end of step
2
:
(6y • (2x + 9)) - -3x • (4y - 1)
STEP
3
:
Equation at the end of step 3
6y • (2x + 9) - -3x • (4y - 1)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
24yx + 54y - 3x = 3 • (8yx + 18y - x)
Final result :
3 • (8yx + 18y - x)
How much force is needed to accelerate a 70 kg skier at 2 m/sec2?
Force = mass x acceleration
Force = 70 kg x 2 m/s^2
Force = 140 N
PLEASE ANSWER FAST I NEED HELPPP
A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?
Answer:
The cost of a gym membership would be 109
Step-by-step explanation:
2009-1995=14
thats how many years apart from each other
so its been 14 years $6 for each year so 14x6=84
so the regular price was $25 and went up 84 dollars last 14 years.
25+84=109 so the price of gym membership would be $109
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area
Answer: perimeter
Step-by-step explanation:
find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33
Answer:
x = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 3
f(x) = 33
Step 2: Solve for x
Substitute: 33 = 4x - 3Isolate x term: 36 = 4xIsolate x: 9 = xRewrite: x = 9Yo can I get some help on this question ?
Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.
I also really need help on this to
whats they answer for they question 10+20
Answer:
30
Step-by-step explanation:
jk it's 19
Answer:
30, 10+20=30. if you dont know this you probably shoudnt be on brainly.
Step-by-step explanation:
Write an equation of the line below.
(0,1) and (8,-1)
Answer:
Step-by-step explanation:
(-1-1)/(8-0)= -2/8= -1/4
y + 1 = -1/4(x - 8)
y + 1 = -1/4x + 2
y = -1/4x + 1
please help and give details!!
Answer:
The answer is A.
Step by step explanation
x²-1
Where
Roots (-1,0) (1,0)
Domain x€R
Range f(x)€ [-1,+infinity]
Minimum (0,-1)
Vertical intercept (0,-1)
A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?
Answer:
y = -x + 9
Step-by-step explanation:
The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9
can someone please help me im being timed ‼️
Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{4-1}{2-1}[/tex]
= 3
Based on the graph, the y-intercept is (-2) so the equation of the line is:
y = 3x - 2
Three families track their distance while traveling to the band competition each family recorded data in different form which family has the fastest speed Rodriguez family Martin family or brown family
Answer:yaba
Step-by-step explanation:
yaba
Seven times some number, added to 3, amounts to -25 added to the product of 3 and the number. Find the number.
7x+4=3x-20
Subtract 3x to the left.
4x+4=-20
Subtract 4 to the right.
4x=-24
Divide -24/4 to isolate variable "x".
x=-6
Plug it back it to prove the solution.
7(-6)+4=3(-6)-20
-38=-38
please mark as brainlistAnswer:
7x+3=-25+3x
minus 3 on both sides
7x=-28+3x
minus 3x both sides
4x=-28
divide 4 both sides
x=-7
the number is -7
Can someone please help!!
Answer:
Step-by-step explanation:
the last one
Leisa is Harold's older sister. Leisa says 2 + 5 (4) = 28 and Harold
says
2 + 5
(4) = 22 Who is WRONG? Explain what was done wrong.
Gabriel has these cans of soup in his kitchen cabinet.
• 2 cans of tomato soup
• 3 cans of chicken soup
• 2 cans of cheese soup
• 2 cans of potato soup
• 1 can of beef soup
Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?
Answer:
the answer is the chese soup has a good chance of being picked but not as good as the chicken soup. there would so 3:2 3 to 2. so if they picked the chese soup the first time then there is not a good chance of the chese soup to be picked again. I hope that helped if not et me know