An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day. On that day, she takes an SRS of 121212 gas stations and finds the sample mean price (in dollars per gallon) is \bar x=\$2.29 x ˉ =$2.29x, with, \bar, on top, equals, dollar sign, 2, point, 29 with a standard deviation of s_x=\$0.20s x =$0.20s, start subscript, x, end subscript, equals, dollar sign, 0, point, 20. The prices in the sample are roughly symmetric with no distinct outliers. Based on this sample, which of the following is closest to a 90\%90%90, percent confidence interval for the mean price of gasoline that day in her state?
Answer:
($2.19,$2.39)
Step-by-step explanation:
khan
Based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
When the sample size is less than 30, the formula which is used is,
[tex]\overline x\pm t.\dfrac{s}{\sqrt n}[/tex]
Here, n is the sample size, [tex]\overline x[/tex] is the sample mean, s is the standard deviation.
Economist, takes an SRS of 12 gas stations. The sample size for the given problem is 12,
[tex]n=12[/tex]
Thus, degree of freedom,
[tex]df=12-1\\df=11[/tex]
In the t table, for df 11, the value of t is 1.796.
An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day.
On that day, she takes an SRS of 12 gas stations and finds the sample mean price (in dollars per gallon) is,
[tex]\bar x=2.29[/tex]
With a standard deviation of
[tex]s_x=0.20[/tex]
Put the values in the above formula,
[tex]2.29\pm 1.796.\dfrac{0.20}{\sqrt 12}\\2.29\pm 0.1037\\2.29+0.1037=2.3937\\2.29- 0.1037=2.1863[/tex]
Thus, based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).
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According to the US Census, the percent of residents aged 65 or older in the 50
states and District of Columbia has mean 13.26% and standard deviation of
1.67%. Find and interpret the standardized scoreſfor the state of Colorado, which
had 9.7% of residents age 65 or older. *
Answer:
z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean.
Step-by-step explanation:
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean
pweassss e help meee◑__◐
Answer: C
Step-by-step explanation:
divide 342 by 7 and round to the nearest whole number
(HELP I BEG U THERE IS 20 MIN LEFT I NEED SLEEP AND I WILL GIVE BRAINLY )
Answer:
your answer is number 3 or 4 I believe it is both
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JOshua purchased a large sphere-shaped gumball from the gumball machine. The gumball has a diameter of 1.5. He decided to eat onlyhalf of the gumball so he can save the rest for later. Approximately, what is the volume of the piece of gumball that he ate?
Answer:
0.88 cubic inches
Step-by-step explanation:
1. Find the volume of the figure. *
A.)30 cubic meters
B.)40 cubic meters
C.)50 cubic meters
D.)60 cubic meters
Cuboid
L=4B=3H=6Volume:-
LBH4(3)(6)12(6)72m³Step-by-step explanation:
#Make_the smartest_answer#sorry_if_wrong#I hope this helps#follow_and_like_me#No copas#Thank_you_for_watching么•ᴮᴬᴰʙᵒʏツॐhน໓ค • ๓นhค๓๓ค໓ঔৣॐŞiŞ¢ค • วนคriคঔৣ9y - 2x = 0 in slope intercept form.
Answer:
y=2/9x
Step-by-step explanation:
I hope this helps
Step-by-step explanation:
9y-2x=0
9y=2x
y=(2/9)x
find the distance between the two points (-7,0) and (-9,-8)
Answer:
in decimal form it is 8.25
How many litres will be needed if 250 ml
Answer:
0.25 liter
Step-by-step explanation:
Pls help ASAP I DO NOT WANT TO GO TO SUMMER SCHOOL.
Answer:
Question 8: answer is D
Question 7: answer is B
You can tell which one is bigger because the one with a larger box has a bigger IQR :)
You can tell the minimum is bigger by looking at the numbers on the number line
Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 15 students from each grade is chosen.
Which sampling method best describes this scenario?
A) simple random sample
B) stratified random sample
C) systematic random sample
D) voluntary response sample
Answer:
B. Stratified random sample is the correct answer
The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.
In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.
This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.
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Jackson is starting an exercise program.The first day he will spend 30 minute on a treadmill by 2 minutes each day.Write an equation for t(d),the time,in minutes,on the treadmill on day d
Answer:
For the d day Jackson exercised for t(d)= 30 + 2d where d is the number of day.
t(d)= 30 + 2d
Step-by-step explanation:
Let the total time on the treadmill be given by y each day and let x take the values of number of the days exercised . For the first day x= 0 and so on.
Therefore
For the first day Jackson exercised for 30 minutes
y= 30 + 2x
y= 30 + 2(0)
y= 30 minutes
For the second day Jackson exercised for (x=1) 32 minutes
y= 30 + 2x
y= 30 + 2(1)
y= 32 minutes
For the third day Jackson exercised for (x=2) 34 minutes
y= 30 + 2x
y= 30 + 2(2)
y= 34 minutes
For the fourth day Jackson exercised for (x=3) 36 minutes
y= 30 + 2x
y= 30 + 2(3)
y= 36 minutes
For the d day Jackson exercised for (x=d) 30 + 2d where d is the number of day.
y= 30 + 2x
y= 30 + 2(d)
y= 30 + 2d
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%
The median of the math scores is = 79%.
You can understand more about calculation of median of a set of numbers below.
Estimation of median scoresThe total number of sophomores is = 8
The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.
To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.
72, 74, 76, 78, 80, 82, 92, 92
Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2
= 158/2 = 79%
Therefore, the median of the math scores is = 79%
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A. 79%
edge 2022 :)
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Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?
Find the value of y.
y
120
Answer:
60 degrees
Step-by-step explanation:
consider the expression
2⁶/2³
what is the value of the expression?
its urgent
The value of the expression is 8. I hope this helps!!!
The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......
(a) Write down the nth term of the sequence (general formula).
(b) Calculate the 100th term of the sequence.
(c) Find the sum of the first 100 terms of the sequence.
Answer:
a) n = 4(n-1)+1
b) 397
c) 19900
Step-by-step explanation:
Please help me I need to answer these
Answer:
i am pretty sure that it is b because if you look at the certain angle
Answer:
first one is D
cos is adjacent/hypotenuse
second one is B
tan is opposite/adjecent
A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.
Answer:
Step-by-step explanation:
The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.
Let x be the height of the antenna.
We can find the length of the antenna using the trigonometric ratios:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying tan ratio in the right angle triangle:
tan70 = x/15
x =15tan70
x = 41.212 feet ≈ 41.23 feet
Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.
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Multiply.
-0.2(24)=
-100(-9.287)
Answer:
-0.2(24)= -4.8
-100(-9.287)= -9.287
The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.
Answer: [tex]6x-5[/tex]
Step-by-step explanation:
Given
The side lengths of a triangle are [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]
Perimeter(P) is the sum of the side length of the triangle i.e.
[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]
Therefore, the perimeter of the triangle is [tex]6x-5[/tex]
What is the sum of an 8 term geometric series if the first term is -11 and the last term is 859,375 and the common ratio is -5
Answer:716,144
Step-by-step explanation:
Given
No of the terms in GP [tex]n=8[/tex]
First-term [tex]a=-11[/tex]
last term [tex]a_n=859,375\quad (ar^{n-1})[/tex]
Common ratio [tex]r=-5[/tex]
The Sum of a GP is given by
[tex]S_n=\dfrac{a(1-r^n)}{1-r}\quad \quad [r<1][/tex]
Put the values
[tex]\Rightarrow S_n=\dfrac{-11(1-(-5)^8)}{1-(-5)}\\\\\Rightarrow S_n=\dfrac{-11\times -390624}{6}\\\\\Rightarrow S_n=\dfrac{42,96,864}{6}=716,144[/tex]
1) The product of two numbers is 8. One of the numbers is x. Write an expression for the other number.
2) Fiifi is 3 years older than JoJo. If JoJo is x years old, write an expression for the sum of their ages.
Answer:
1 ) y = 8 / x
2 ) 3 + 2x
Step-by-step explanation:
1 )
One number = x
Let the other number be y.
The product of two numbers is 8,
( x ) ( y ) = 8
xy = 8
y = 8 / x
Expression for the other number is,
y = 8 / x
2 )
JoJo = x years old
Fiifi = ( 3 + x ) years old
Expression for the sum of their ages
= 3 + x + x
= 3 + 2x
Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z
Answer:
5x+14y+9z
Step-by-step explanation:
combine 8x and -3x to get 5x
combine 5y and 9y to get 13y
combine -4z and 13z to get 9z
The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?
Answer:
They have 69 cookies left.
Step-by-step explanation:
7 x 14 = 98
98 - 29 = 69
Plsss help I’m super stuck on this
Answer:
its b
Step-by-step explanation:
took the quiz
Answer:
I would go with D
Step-by-step explanation:
You can look at the graph and answer it
Greyson rides his bike at a constant rate. In 30 minutes, Greyson can bike 7 miles. I need help on number 3.
Step-by-step explanation:
The answer is In the picture above
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
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Find the length and surface area.
Width = 2
Height = 12
Volume = 240
Answer:
Length: 10
Surface Area: 20
Step-by-step explanation:
Length:
2*12=24
240/24=10
Surface Area:
2*10=20