In January of 2011, the U.S. saw an increase in gas prices. Imagine the average price per gallon was $3.12 with a standard deviation of $0.27, according to a source such as AAA (Automobile Association of America) that tracks gas prices. You are on your long mid-semester break, so you and some friends decide to go on a 3000-mile road trip. You record the price of gas each of the 10 times you fill up your tank, and you compute an average price per gallon of $3.16. What percent of other sample means, based on 10 gas stations, would be greater than the one you observed
Answers
Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
Related Questions
An elementary school has the following students
• 240 students in 3rd grade
• 150 students in 4th grade
..100 students in 5th grade
The librarian wants to know which books are most popular among the school's 3rd-6th grade students. She decides to survey a group rather than all students.which of the following sampling methods will provide the most accurate representation of the populations preferences?
Which of the following sampling methods will provide the most accurate representation of the population's preferences?
select 15 third graders, 15 fourth graders, and 15 fifth graders at random
select 15 third graders, 25 fourth graders, and 40 fifth graders at random
select 40 third graders, 25 fourth graders, and 15 fifth graders at random
select 40 third graders, 40 fourth graders, and 40 fifth graders at random
Answers
Answer: b
Step-by-step explanation:
If MJ = 30, KL = 32, and ML = 40, what is MK?
Answers
Answer:
MK = 80
M= 10
K= 8
Plzzz HURRY IM BEING TIMED!!! What is the area of a square with side length of 4 1/4 m? O 8m squared O 17m squared? O 187 m squared O 204 m squared
Answers
Answer:
The answer should be 18.06 but I don't see that as a choice
i need help on the problem that is in the png so plz answer and thank you!
Answers
please help its due in 5 mind
Answers
Formula:
C = π • d
π (pi) = 3.14
diameter = 2 in
3.14 • 2 = 6.28
Which statement can be modeled by x + 3 ≤12? *
Answers
Answer:A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Hope this helps.
Identify all sets of parallel and perpendicular lines in this image.
Answers
Answer:
All four options are correct.
Step-by-step explanation:
Option 1
m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]
By the converse property of corresponding angles theorem,
CD║EF
Since, angle between AB and CD is 90°,
AB⊥CD
True
Option 2
Since, angles between AB and EF is 90°, both will be perpendicular.
AB ⊥ EF
AB ⊥ CD
True
Option 3
CD║EF and AB ⊥ EF
True
Option 4
CD║EF, AB ⊥ CD and AB ⊥ EF
True
Therefore, all options are correct.
A ceiling fan manufacturer claims that 89% of homes in the South have ceiling fans. A random sample of 100 Southern homes was surveyed, and 85 had ceiling fans. Let p hat = the proportion of the sample homes that have ceiling fans.
The probability that 85% or fewer homes in the South have ceiling fans is 0.098. Does this result provide convincing evidence against the manufacturer’s claim?
Options:
Yes, it is expected that at least 85 homes have ceiling fans.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
No, the difference between the sample result and what is expected is not extreme enough.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
Answers
Answer:
No, the difference between the sample result and what is expected is not extreme enough.
Step-by-step explanation:
See attached picture
What's y if x=2.5 and the slope is 5/.2 PLS HELP
Answers
Answer:
5×5=25/10 for mar hada dur kobic
Answer:
25/10
Step-by-step explanation:
A loan requires that the 4% interest be compounded monthly for five years find the number of compounding periods
Answers
Answer:
60 compounding periods
Step-by-step explanation:
The proper formula for compound interest is A = P(1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times that interest is compounded in 1 year, and t is the number of years.
In this problem, we don't need to calculate the Amount, but only the number of compounding periods. That is nt, which here is 12*5, or 60.
what's the value of
[tex] \sqrt{2 \times 2} [/tex]
Answers
Answer:
2.82842712475
Step-by-step explanation:
hope it helps.....
Answer:
√{2×2}=√2²=±2 is your answer
Please help I’m struggling
Answers
Answer:
I believe the answer is 23.
Step-by-step explanation:
90-67=23
The popular party game Twister is made up of 24 circles with 9 inch diameters.
What is the total area of all the circles?
Answers
Answer:
you have to do 9/2 and then times that by twenty four. that will give you 108
then you do 3.14*108*108=36624.96
Step-by-step explanation:
Answer:
the answer is 63.62 for 1 circle then multiply by 24 which gets 1526.88
Step-by-step explanation:
If x=6 and y=−2, evaluate the following expression:x+y
Answers
Answer:
4
Step-by-step explanation:
x + y = 6 + (-2) = 4
find the solution of given expression
[tex] \sqrt{652 \times 652} [/tex]
Answers
Answer:
652
Step-by-step explanation:
[tex]\sqrt{652 \times 652}[/tex] is equal to [tex]\sqrt{652^{2} }[/tex], and the square root of a number squared is always the original number, so [tex]\sqrt{652^{2} }[/tex] is equal to [tex]652[/tex].
Answer:
√{652×652}=√652²=±652
Step-by-step explanation:
If Rihanna deposite 1500 rupees in the school fund at 9 p.C.P.A for 2 years, what is the total amount she will get?
Answers
Answer: 1770 rupees
Step-by-step explanation:
To solve this, we first calculate the simple interest which will be:
= (P × R × T) / 100
= (1500 × 9% × 2) / 100
= (1500 × 0.09 × 2) / 100
= 270
The total amount tha she'll get will be:
= 1500 + 270
= 1770 rupees
Which number is equivalent to 6%? Select all that apply.
6.0
0.06
0.6
6/100
3/50
Answers
Answer:
0.06 and 6/100
Step-by-step explanation:
I need help how to do it and give me the answers show your work please no links and I will make you brainily person and give you points.
Answers
Answer:
Could you post the question in the comments?
Step-by-step explanation:
Please Help
The expression represents the distance in feet an object falls after seconds. The object is dropped from a height of 906 feet.
What is the height in feet of the object 2 seconds after it is dropped?
Write an expression representing the height of the object in feet seconds after it is dropped.
Answers
Answer:
[tex]842\ \text{ft}[/tex]
[tex]y(t)=906-16t^2[/tex]
Step-by-step explanation:
Let [tex]y[/tex] be the height the object from the ground.
[tex]s[/tex] be the initial height of the object = 906 ft
[tex]u[/tex] = Initial velocity = 0
[tex]g[/tex] = Acceleration due to gravity = [tex]32\ \text{ft/s}^2[/tex]
[tex]t[/tex] = Time
The expression would be
[tex]y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2[/tex]
The required expression is [tex]y(t)=906-16t^2[/tex]
At [tex]t=2\ \text{s}[/tex]
[tex]y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}[/tex]
The height of the object after 2 seconds of falling is [tex]842\ \text{ft}[/tex].
Please help and show all workings
If [tex]ac^3+bx^2+c[/tex] is divided by (x-3) then the remainder is:
Silly answers will not be tolerated
Answers
Answer:
27a + 9b + c is reminder
Step-by-step explanation:
Remainder theorem says that when p(x) is divided by (x – a) the remainder is given
by p(a)
Let p(x) = ax³ + bx²+ c
P(x) when divided by (x – 3)
Using Remainder theorem, we have
Remainder = p(3) = a(3³) + b(3²) +c
= 27a + 9b + c
what are solid shapes
Answers
Answer:formele solide sun obiectele care sunt tari dexemple piatra telefonul cubul ele sunt solide
Step-by-step explanaton:
DEFINITION-;
three dimensional figure have Length breadth and height and which have a fixed shape and accupies shapes are called solids
the line segment which to focus in solid meet is called its when three or more faces of a solid meet at one point with point is known as vertex
TYPES
CUBOID
a solid bounded by six rectangular play spaces is called a cuboid
ELEMENT OF CUBOID
it has 6 faces it has 8 vertex it has 12 edge2 CUBE
a solid cube whose all three dimension Length breadth and height are equal called cube
element of cube
it has 6 faces 8 vertex and 12
3 PRISM
a Prism is a solid whose side faces are rectangle and in the identical polygon in parallel planes
4 PYRAMID
a pyramid is a solid whose base is a flat plane rectilinear figure which may be triangular square rectangular or polygonal the side face of a pyramid are Triangles having a common vertex
5 CONE
it is a solid with a circular base and all is other purpose meet it common point known as vertex
6 CYLINDER
it is a solid with two circular base also if the cross section of prism is circle then is known as cylinder
PLEASE HELP!
log Subscript 3 (2x-7)= 4
Answers
Answer:
x = 44
Step-by-step explanation:
You can rewrite logarithm equations like so:
[tex]log_{b}(x) = y\\\\x = b^y[/tex]
A way to remember this is the base in the logarithm is also the base in the exponent - then remember this base b is to the power of what's on the other side - and all this is equal to whatever's in the parentheses.
In this case,
[tex]log_3(2x-7) = 4\\2x - 7 = 3^4\\x = (3^4 + 7)/2 = 44[/tex]
I need this ASAP
What is the height of the figure
Answers
Answer:
it is 6 I hope that
Step-by-step explanation:
because if division 11 on 759.88
If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes
Answers
Answer:
1788 grams
Step-by-step explanation:
If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes
We are to find Nt
The formula is given as:
Nt = No(1/2)^t/t½
Where
No = Initial amount = 7,152 grams
t = time elapsed = 186 minutes
t½ = Half life = 93 minutes
Nt = Amount of substance left
Nt = 7152(1/2)^186/93
= 1788 grams
PLEASE HELP I WILL MARK BRAINLIEST!!
After a parade there were 4 tons of trash to be picked up. By the end of the
day, volunteers had picked up 7,200 pounds of trash. Hon marvy pounds of trash
were still left to be picked up at the end of the day
Answers
7200/2000 = 3.6 tons
.4 tons is left to pick up
2000 x .4. = 800 pounds left to pick up
In AIJK, the measure of ZK=90°, the measure of ZI=46°, and IJ = 9.2 feet. Find the
length of JK to the nearest tenth of a foot.
J
9.2
X
46
K
Answers
Answer: 6.6
Step-by-step explanation:
Which statement is true?
A pound is 8 times as heavy as an ounce.
A pound is 10 times as heavy as an ounce.
A pound is 12 times as heavy as an ounce.
A pound is 16 times as heavy as an ounce.
Answers
Answer:
a pound is 16 times as heavy as an ounce
Answer:
Option 4
Step-by-step explanation:
16 times an ounce - - - a pound
A grocery store sells a bag of 6 oranges for $3.84. What is the cost of oranges, in
dollars per orange?
Answers
Answer:
Each orange would cost $0.64.
Step-by-step explanation:
If you do 3.84 and divide that by 6, you would get the answer of $0.64 for each orange.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The cost of one orange is $0.64
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
6 oranges = $3.84
Divide both sides by 6.
1 orange = $3.84/6
1 orange = $0.64
Thus,
The cost of one orange is $0.64.
Learn more about unit rates here:
https://brainly.com/question/11258929
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I need help please!!!
Answers
Answer:
A
Step-by-step explanation:
A circle with a radius of r units is dilated by a scale factor of 7 to create a new circle. Which statement about the area of the new circle is true?
A. The area of the new circle is 7 times the area of the original circle.
B. The area of the new circle is 14 times the area of the original circle.
C. The area of the new circle is 49 times the area of the original circle.
D. The area of the new circle is squared root 7 times the area of the original circle.
Answers
Answer:
A
Step-by-step explanation:
The scale factor can be defined as the ratio of new dimension of an object after scaling to the original dimension. The are of the new circle is 49 times the area of the original circle. The correct answer is option C.
What is Scaling factor ?Scaling factor is a conversion factor used to change the size of a figure without changing its shape. When the size of a figure is increased, it called scaled up and when it decreases it is called as scaled down.
Given that, Scale factor of circle = 7.
Since, the scale factor of a circle is the ratio of new radius to original radius.
The new radius of circle can be written as,
r' = 7r
Thus, the area of new circle is π × (r')^2= π × (49r^2).
Hence, the area of new circle is 49 times the original circle.
To learn more about Scale factor click on,
https://brainly.com/question/22312172
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