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]
Find the probability that when a hand of 7 cards are drawn from the well-shuffled deck of 52 cards, it contains
(i) all kings (ii) 3 kings
Answer:
(i) 0/7
(ii) 3/7
Step-by-step explanation:
In a deck of 52 playing cards, there are 13 cards of each clubs, spades, diamonds, and hearts. From those 13 cards, each group has 1 King, Queen, Jack respectively.
No.of total outcomes = 7
(i) In the entire 52 cards, there will be 4 Kings.
The probability of getting 4 kings in 7 cards can be 4/7.
But since there are only 4 kings (4<7), the probability of getting all kings in 7 cards would be 0/7.
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a
C, and 2 earned a D on the last science test. If she randomly surveys one more student from
the class, what is the experimental probability that the student would have earned an A on
the test?
Done
My Progress >
Answer:
2/5
Step-by-step explanation:
In order to find the probabability, you first need to find your total. So:
A, B, C, D,
8+ 6 + 4 + 2 =
20
Since, 20 is out toal it goes in our denominator
Now since we artrying to find the probability of A then we count the number of students who an A and place that in our denominator
8/20
We simplify
2/5
Answer:
2/5
Step-by-step explanation:
HELP PLEASE REEEEEEEEEEEE!! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
Step-by-step explanation:
480 = 100%
72 = ? you can find it doing (72(100))/480
72(100)= 7200
7200/480= 15
the answer is 15%
have a nice day :)
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
7.61577
Step-by-step explanation:
Evaluate the expression x + 12, if x = 4
Answer:
4 + 12 = 16
thats so easy you just put the 4 in for the x and add it, you will then get 16
Step-by-step explanation:
thanks for basically free points:))
Solve for x: 10(x + 1) = 2x - 7
Answer:Simplifying
x = -2.125
Step-by-step explanation:Add '-10' to each side of the equation.
10 + -10 + 8x = -7 + -10
Combine like terms: 10 + -10 = 0
0 + 8x = -7 + -10
8x = -7 + -10
Combine like terms: -7 + -10 = -17
8x = -17
Divide each side by '8'.
x = -2.125
Simplifying
x = -2.125
The school play is selling tickets for their annual fall play. Adult tickets cost $7 each and
children’s tickets cost $4 each. The theatre holds 100 seats and the play is sold out! If $592 were made off of ticket sales, how many of each kind of ticket were sold
Answer:
64 adult tickets were sold and 36 children tickets were sold
Step-by-step explanation:
i created two equations. 7A + 4C = 592 and A + C = 100. A stands for adult tickets and C stands for children tickets. in order to find the value of C, the children tickets, i took the second equation, A + C = 100, and subtracted A on both sides to get C = -A + 100. i then plugged the value of c into the first equation i created. i then got 7A + 4(-A+100) = 592. after that, i distributed the 4 into the parentheses and got 7A - 4A + 400 = 592. from there, you solve and get 3A = 192. divide 3 from both sides, and get the value of A = 64. then, you go back to the second equation, A + C = 100, and plug in your value of A to get 64 + C = 100. you can then go on to solve for C and get 36. your final answer is 64 adult tickets and 36 children tickets were sold.
On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes
Answer:
C
Step-by-step explanation:
10/4=2.5
2.5x38=95
95 minutes= 1 hour 35 minutes
What inequality is shown by the graph? algebra 1
Write the equation:
Jerry has a new job and earns a salary of $45, 000. Victoria has a
new job and earns a salary of $54,000. Jerry will receive a salary
increase of $2,500 per year and Victoria will receive a salary increase
of $1,500 per year.
Can anyone give me this question pls I will give you 70 points
Answer:
so easy! 9 + 2y
Answer:
6+2y
Step-by-step explanation:
What is the value of KL?
Answer:
KL = 40.5
Step-by-step explanation:
From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,
⅔ of KL = LP
LP = 27
Plug in the value of LP
⅔(KL) = 27
Multiply both sides by 3
2(KL) = 3*27
2(KL) = 81
Divide both sides by 2
KL = 81/2
KL = 40.5
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Question 6 of 25 -
Which letters shown below on the number line also have their opposites labeled?
A
B
c
D
0
A and D
Band C
o
A, B, and
O
B, C, and D
O
Previous
ii
Type here to search
2
** N
PLEASE HELP MEEE!!!!
Answer:
The correct option is;
B, C, and D
Step-by-step explanation:
The labelled letters on the number line are;
A = 2 units to the left of the point 0 = - 2 units
B = 1 units to the left of the point 0 = - 1 unit
C = Located at the point 0
D = 1 units to the right of the point 0 = +1 unit
Therefore, the letters that have their opposites labelled are;
Given that we have;
The opposite of B = -1 is +1 = D
The opposite of D = +1 is -1 = B
The opposite of C = 0 is 0 = C
The letters which have their opposites labelled are B, C and D
graph y=3/4x-4 pls helppppppp.......,,,,,,,,,,.,,,,,
Step-by-step explanation:
Plug in y=3/4x-4 into desmos :)
A total of 402 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answer:
134 adult tickets were sold adt tye school play.
Step-by-step explanation:
total tickets = adult + student tickets
total tickets= (2×adult tickets)+adult tickets
total tickets = 3× adult tickets.
402=3×adult tickets.
402÷3=adult tickets
134=adult tickets
what is the distance between piont S (3 -2) and point T (-5, -2)
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Brian was scuba diving at the Great Barrier Reef in Australia. After he jumped in the water, he descended 18 feet. Then he rose 5 feet. What is the current depth in the water?
amswer:
-13 feet
step by step:
-18+5=-13
A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?
s - 10
2s + 10
s + 10
2s - 10
Answer:
a
Step-by-step explanation:
let the third side and second side be x and s respectively
a/c to question,
X = s - 10
thanos has 15 donuts. he cuts those into fifths. then he cut those fifths into halves. then he cut those halves into thirds. how much pieces does thanos have?
Answer:450
Step-by-step explanation:
For each situation below, complete the table for the values given and the unit rate.
A. 2 bottles of water cost $5.00.
Number of bottles
Cost($)
Cost per bottle
2
5
4
7
6
9
8
11
Answer:
2 = 5
5 = 12.50
4 = 10
7 = 17.50
6 = 15
9 = 22.50
11 = 27.50
Step-by-step explanation:
a
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The correct statements about given synthetic division are C, D, and F
What is a quadratic polynomial?"It is a polynomial with degree 2."
What is synthetic division?"It is defined as a way of dividing one polynomial by another polynomial of first degree."
For given question,
We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]
We can factorize above quadratic polynomial as,
[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]
This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)
And the roots of the polynomial would be,
[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]
This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]
Therefore, the correct statements about given synthetic division are C, D, and F
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ2
Please help me ASAP!!! and please explain it because I do not understand how to do this at all.
Answer:
The 3 one
Step-by-step explanation:
So first you need to find all the angles.
Triangles all have a total degree of 180.
Then you can start doing trig. To find c I did (4sqrt3)cos60 that equals 3.464 which is 2sqrt3. Then I figured out a by doing the same thing but with sine. (4sqrt3)sin60 and that equals 6. Then I moved to the other triangle. I figured out d next. 6tan45° and that equals 6. Then I did b by doing 6/cos45 and I got 6sqrt2
which equation is modeled
Answer:
The answer is B
Step-by-step explanation:
4x (green, left)
-2 (red, left)
=
2x (red, right)
6 (orange, right)
Hope that helps
SOLVING SYSTEMS:
I just need the work for each equation.
Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?
Answer:
Graph shown below
Step-by-step explanation:
Cubic Root Graph
The graph of the function
[tex]f(x)=\sqrt[3]{x}-4[/tex]
Is shown in the attached image. Some points are calculated below:
We'll take x={-8,-1,0,1,8}:
[tex]f(-8)=\sqrt[3]{-8}-4=-2-4=-6[/tex]
Point (-8,-6)
[tex]f(-1)=\sqrt[3]{-1}-1=-1-4=-5[/tex]
Point (-1,-5)
[tex]f(0)=\sqrt[3]{0}-4=0-4=-4[/tex]
Point (0,-4)
[tex]f(1)=\sqrt[3]{1}-1=1-4=-3[/tex]
Point (1,-3)
[tex]f(8)=\sqrt[3]{8}-1=2-4=-2[/tex]
Point (8,-2)
The graph of [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below and this can be sketched by substituting the values of x in the function f(x) and then plotting the points on the graph.
Given :
[tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The following steps can be used in order to determine the graph of the given function f(x):
Step 1 - Determine the value of f(x) at the values of x = {-8,-4,0,4,8}.
Step 2 - At (x = -8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-8} - 4[/tex]
[tex]\rm f(x) = -2 - 4 = -6[/tex]
Step 3 - At (x = -4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-4} - 4[/tex]
f(x) = -5.6
Step 4 - At (x = 0) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{0} - 4[/tex]
f(x) = -4
Step 5 - At (x = 4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{4} - 4[/tex]
f(x) = -2.4
Step 6 - At (x = 8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{8} - 4[/tex]
f(x) = -2
Step 7 - Now, plot the points obtained in the above steps on the graph in order to draw the graph of the given function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The of the function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below.
For more information, refer to the link given below:
https://brainly.com/question/4700926
How do I do these?
Answer:
bro I ain't got no idea try googling it man
Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answer:
I think it would be 4 not sure
A store is selling sweaters for 65% of the original price (or 35% off). If the original price of the sweater is $56.00, what is the sale price of the sweater?
Answer:
36.40
Step-by-step explanation:
Make a proportion : 35/100 = x/56. 35 times 56= 19.6. 56-19.6= 36.4
Hope this helps!
Answer:
The sales price is $36.40
Here is a list of numbers:
6, 16, 6, 18, 16, 3, 8 ,9 ,6
State the median.
Answer:
8
Step-by-step explanation:
You have to list the numbers in the correct order then fond the one that falls in the middle, if there are 2 numbers that fall in the middle, then you add those 2 then divide by 2.
Hope it helps! Merry Christmas!
Answer:
8
Step-by-step explanation:
Arrange the set of numbers from least to greatest:
3,6,6,6,8,9,16,16,18
Start from both ends and cross them off until you're left with just one.
6,6,6,8,9,16,16
6,6,8,9,16
6,8,9
8
The median is 8 because that's what you're left with.
The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p?
Answer:
A
Step-by-step explanation:
sorry for being late
good luck m8s