Answers
The average price of milk in 2018 was 6.45 dollars per gallon.
The average price of milk in 2021 was 189.95 dollars per gallon.
How to calculate the priceThe given function is:
Price = 3.55 + 2.90(1 + x)³
where x is the number of years after 2018.
In order to find the average price of milk in 2018, we need to set x = 0:
Price in 2018 = 3.55 + 2.90(1 + 0)³ = 3.55 + 2.90(1) = 6.45 dollars per gallon
Price in 2021 = 3.55 + 2.90(1 + 3)³ = 3.55 + 2.90(64) = 189.95 dollars per gallon
So, the average price of milk in 2021 was 189.95 dollars per gallon.
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Related Questions
In 2001, the Gallup poll found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. In 2013, the Gallup poll asked 1,039 American adults if they believe there was a conspiracy in the assassination, and found that 634 believe there was a conspiracy ("Gallup news service," 2013). Do the data show that the proportion of Americans who believe in this conspiracy has decreased? Test at the 1% level.
Answers
According to the Gallup poll, the proportion of American adults who believe in conspiracy theory has decreased significantly since 2001.
To test whether the proportion of Americans who believe in the conspiracy surrounding the death of President Kennedy has decreased, we need to conduct a hypothesis test. Let us assume that the null hypothesis is that the proportion of Americans who believe in the conspiracy theory has remained the same or increased, while the alternative hypothesis is that the proportion has decreased.
Let p be the true proportion of American adults who believe in the conspiracy theory, and let p0 be the proportion in 2001 (81%). The sample proportion in 2013 is 634/1039=0.61. The sample size is sufficiently large (1039>30), so we can use the z-test.
The test statistic is:
z = [tex](p - p0) / \sqrt{[p0*(1-p0)/n]}[/tex]
= (0.61 - 0.81) / [tex]\sqrt{[0.81*(1-0.81)/1039]}[/tex]
= -11.08
At the 1% level of significance, the critical value for a two-tailed test is z* = 2.58. Since the test statistic (z = -11.08) is much smaller than the critical value (z* = 2.58), we reject the null hypothesis in favour of the alternative hypothesis. Therefore, the data provide strong evidence that the proportion of Americans who believe in the conspiracy theory surrounding the death of President Kennedy has decreased since 2001.
In conclusion, according to the Gallup poll, the proportion of American adults who believe in conspiracy theory has decreased significantly since 2001. The sample size is sufficiently large, and the z-test was used to reach this conclusion at the 1% level of significance.
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How to show the numbers 1/2 and 1/3 on the number line
Answers
Step-by-step explanation:
To represent 1 2/3 on a number line, we start by locating the integer 1 on the number line:
----|-----------|-----------|-----------|-----------|-----------|
-3 -2 -1 0 1 2
Next, we need to locate the fractional part 2/3 of a unit. To do this, we divide the interval between 1 and 2 into three equal parts, and then shade two of those parts:
----|-----------|-----------|-----------|-----------|-----------|
-3 -2 -1 0 1 2
1 4/3 5/3 2
Therefore, the point representing 1 2/3 on the number line is located at 5/3 units to the right of -1, as shown above.
Please write y = 4x -2
in Ax + By = C form
Then identify x-intercept, y-intercept, and slope
Thanks!
Answers
[tex]\blue{\boxed{\bold{\mathbb{SOLUTION}}}}[/tex]
[tex]\begin{aligned} y &= 4x-2 \\ -4x+y &= -2 \end{aligned}[/tex]
Then, [tex]Ax+By=C \implies -4x+y=-2[/tex].
So, [tex]A=-4, B=1, C=-2[/tex].
Now, identify the x-intercept (y = 0):
[tex]y=4x-2\\0=4x-2\\2=4x\\x=\dfrac{2}{4}\\x=\dfrac{1}{2}\\ \therefore \left( \dfrac{1}{2} , 0 \right)[/tex]
y-intercept (x = 0):
[tex]y=4x-2\\y=4(0)-2\\y=2\\\therefore (0,2)[/tex]
Slope:
We know that [tex]y=4x-2[/tex]. the the slope [tex]m=4[/tex] (x coefficient).
[tex]\aqua{\boxed{\mathfrak{Thank \: You}}}\\\aqua{\boxed{\boxed{\mathfrak{answered \: by: \: akbarsdtazm}}}}[/tex]
Match each dilation to its correct function as it relates to the parent function(x)=x².
Nex
Instructions
uestion
j(x)=(1/2x)^2
k(x) = 2x²2
h(x)-(2x)²
g(x) = x²
horizontal compression
vertical compression
vertical stretch
horizontal stretch
Answers
The correct match of each dilation to its function is: j(x) = (1/2x)^2: vertical stretch, k(x) = 2x²: vertical compression, h(x) = (2x)²: horizontal compression, and g(x) = x²: no dilation, it is the parent function.
Each of the given functions is a dilation of the parent function f(x) = x^2, which means that they are obtained by stretching or compressing the graph of the parent function either vertically or horizontally.
- j(x) = (1/2x)^2: This function is a vertical stretch of the parent function, because the constant factor of 1/2 in front of the x causes the function to be stretched vertically by a factor of 2.
- k(x) = 2x²: This function is a vertical compression of the parent function, because the constant factor of 2 in front of the x^2 causes the function to be compressed vertically by a factor of 1/2.
- h(x) = (2x)²: This function is a horizontal compression of the parent function, because the constant factor of 2 inside the x^2 causes the function to be compressed horizontally by a factor of 1/2.
- g(x) = x²: This is the parent function, and it is not dilated in any way. Its graph is a parabola that opens upwards and has a vertex at the origin.
Thus, this is the correct match for the given scenario.
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Your goal is to find a better procedure for microwaving a bag of popcorn to cook the best in terms of proportion of popped kernels) popped bag. You plan to design an experiment to determine which bran
Answers
Make sure to keep all other variables constant, such as the brand and size of the popcorn bag, the amount of oil and seasoning used, and the type of microwave used.
1. Select multiple brands of microwave popcorn to test in the experiment.
2. For each brand, follow the recommended cooking instructions found on the packaging. This will serve as the control group.
3. Next, for each brand, design alternative microwaving procedures, such as adjusting the cooking time, using different power settings, or including a pre-heating step.
4. Randomly assign these alternative procedures to different bags of each brand, ensuring that you have at least one bag per procedure per brand.
5. Microwave each bag following its assigned procedure.
6. After microwaving, carefully count the number of popped kernels and unpopped kernels in each bag.
7. Calculate the proportion of popped kernels for each bag by dividing the number of popped kernels by the total number of kernels (popped and unpopped).
8. Compare the results for each procedure within each brand and identify which procedure yields the highest variable proportion of popped kernels.
9. Further, compare the results across all brands to determine if any particular procedure is consistently effective for multiple brands.
By following this experimental design, you should be able to determine the most effective microwaving procedure for achieving the highest proportion of popped kernels in a bag of popcorn.
Complete Question:
Your goal is to find a better procedure for microwaving a bag of popcorn to cook the best in terms of proportion of popped kernels) popped bag. You plan to design an experiment to determine which brand to use, how long to cook each bag in the microwave and what power setting to use. Some reasonable ranges for the factors from past experience: Cooking time (3 and 5 minutes), Power levels on the microwave oven (settings 5 and 10) and Popcorn brand (Kroger or Orville) (1) What type of design of experiment you will suggest for this study. (ii) Do you suspect that the effect of any factor on the proportion of popped kernels may depend on the value of some other factor? If yes, how will you add such an effect in the model? (iii) You decide to include all possible two-factor interactions besides main effects. (a) Write down the statistical model and its assumptions. (b) What will be the minimum number of runs needed to perform the experiment based on the effects you have added to the model?
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suppose that in the past, 94% of all hispanic grocery shoppers were women. perhaps due to changing cultural values, we believe that more hispanic men are now grocery shopping. we randomly sample 689 hispanic grocery shoppers from around the united states and 606 are women. does this result provide enough evidence to conclude that a lower proportion of hispanic grocery shoppers now are women? test at alpha
Answers
Therefore, we can conclude that the changing cultural values have resulted in more Hispanic men grocery shopping by -3.81 percent.
To determine if a lower proportion of Hispanic grocery shoppers are women, we need to perform a hypothesis test using the given sample data.
Let p be the true proportion of Hispanic grocery shoppers who are women. The null hypothesis is that p = 0.94, while the alternative hypothesis is that p < 0.94. We will use a one-tailed test with a significance level of α = 0.05.
The test statistic is calculated as:
z = (x - np) / √(np(1-p))
where x is the number of women in the sample (606), n is the sample size (689), and p is the null hypothesis value (0.94).
z = (606 - 6890.94) / √(6890.94*0.06)
z = -3.81
The critical value for a one-tailed test with α = 0.05 and degrees of freedom of 688 is -1.645. Since the calculated z value of -3.81 is less than the critical value of -1.645, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that a lower proportion of Hispanic grocery shoppers are women.
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over which interval is the graph of y=cos(x) strictly increasing?
Answers
The solution is :
D. π < x < 2π, over this interval is the graph of y=cos(x) strictly increasing.
Given the function
y=cos(x)
Referring to the intervals [0, 2π].
It decreases from the interval [0, π ] and then starts increasing in the interval [π, 2π ]
Proving by taking derivative:
Taking derivative of the function, y=cos(x)
dy/dx = - sinx
In the interval [π, 2π ], sinx is negative i.e. sinx < 0.
Therefore
-sinx > 0
When, the derivative of a function is positive, then the function is strictly increasing.
So, the answer is:
D. π < x < 2π
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If a basketball team has lost 50 matches out of the 120 matches played in total. Find out their winning percentage?
Answers
The winning percentage for this team is 58.33 percent.
How to find the winning percentage?The formula for this percentage is:
P = 100%*(number of games won)/total number of games.
The total number of games is 120, and of these the team lost 50, then the number of games won is:
120 - 50 = 70
Now we can replace these two values in the formula given above, then we will find that the winning percentage is:
P = 100%*(70/120)
P = 58.33%
That is the percentage we wanted.
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Using the t tables, software, or a calculator, estimate the values asked for in parts (a) and (b) below.
a) Find the critical value of t for a 95% confidence interval with df = 24. t= ___(Round to two decimal places as needed.) b) Find the critical value of t for a 98% confidence interval with df = 79.
t= ___ (Round to two decimal places as needed.)
Answers
a) The critical value of t for a 95% confidence interval with df = 24 is approximately 2.064.
b) The critical value of t for a 98% confidence interval with df = 79 is approximately 2.626.
We have,
a) To find the critical value of t for a 95% confidence interval with
df = 24, we can use a t-table or a statistical calculator.
For a 95% confidence level and df = 24, we need to find the t-value corresponding to an alpha value of 0.05 (1 - confidence level).
Using a t-table or a statistical calculator, we find that the critical value of t for a 95% confidence interval with df = 24 is approximately 2.064.
b)
Similarly, for a 98% confidence interval with df = 79, we need to find the t-value corresponding to an alpha value of 0.02 (1 - confidence level).
Using a t-table or a statistical calculator, we find that the critical value of t for a 98% confidence interval with df = 79 is approximately 2.626.
Therefore,
a) The critical value of t for a 95% confidence interval with df = 24 is approximately 2.064.
b) The critical value of t for a 98% confidence interval with df = 79 is approximately 2.626.
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A student is graduating from college in 12 months but will need a loan in the amount of $9,529 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 5.95%, compounded monthly, and a payment grace period of six months from time of graduation
PLUS loan: annual interest rate of 6.55%, compounded monthly, with a balance of $10,172.23 at graduation
Which loan will have a lower balance, and by how much, at the time of repayment?
Answers
Answer:
To compare the balances of the two loans at the time of repayment, we need to calculate the future value of the loan amount for each loan option after 12 months of compounding.
For the Unsubsidized Stafford Loan:
Principal (P) = $9,529
Annual interest rate (r) = 5.95%
Compounding period (n) = 12 (monthly compounding)
Time period (t) = 1 year
Using the formula for future value of a loan (FV), we get:
The formula is:
FV = P * (1 + r/n)^(nt) = $9,529 * (1 + 0.0595/12)^(121) = $10,087.14
For the PLUS Loan:
Principal (P) = $10,172.23
Annual interest rate (r) = 6.55%
Compounding period (n) = 12 (monthly compounding)
Time period (t) = 1 year
Using the same formula, we get:
FV = P * (1 + r/n)^(nt) = $10,172.23 * (1 + 0.0655/12)^(121) = $10,774.71
Therefore, the Unsubsidized Stafford Loan will have a lower balance at the time of repayment, by $687.57 ($10,087.14 - $10,774.71).
Mr tuyen uses 5/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr.tuyen
used in five weeks write your answer two different ways.
Answers
Mr. Tuyen uses 25/8 or 3 1/8 (or 3 1/64) tanks of gas in five weeks.
As per the question,
Multiply the amount of gas used in one week (5/8 tank) by the number of weeks (5):
5/8 x 5 = 25/8 tanks of gas.
Simplify the fraction 25/8 by dividing the numerator and denominator by 8: 25/8 ÷ 8/8 = 25/64.
25/64 is an improper fraction, so we can convert it to a mixed number:
3 1/64 tanks of gas.
Alternative method:
In one week, Mr. Tuyen uses 5/8 of a tank of gas.
In five weeks, he uses 5/8 x 5 = 25/8 tanks of gas.
25/8 is an improper fraction, so we can convert it to a mixed number: 3 1/8 tanks of gas.
Therefore, Mr. Tuyen uses 25/8 or 3 1/8 (or 3 1/64) tanks of gas in five weeks.
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Read and answer the question circled in red
Answers
The sum of the numbers less than 3 is 5/4
What are fractions?Fractions are simply defined as part of a whole variable, element or number.
In mathematics, there are different types of fractions, they are;
Proper fractionsImproper fractionsSimple fractionsComplex fractionsMixed fractionsExamples of simple fractions are; 1/2, 1/3, 1/4
Examples of mixed fractions are; 2 1/3, 4 1/3
Examples of improper fractions are; 5/2, 4/2
From the information given, we have that;
the sum of the numbers less than 3 is written as
1/2 + 3/4
Add the values
2 + 3/4
Add the values
5/4
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if x+y= Z/2
& x-y=zero so..
a) Z = 2xy
b) y = 2z-4y
c) 2x = 2z
d) 2x = z-2y
Answers
Answer:
D
Step-by-step explanation:
x + y = [tex]\frac{z}{2}[/tex]
multiply through by 2 to clear the fraction
2x + 2y = z ( subtract 2y from both sides )
2x = z - 2y
how many ways are there for eight students and five professors to stand next to each other such that no two professors are standing next to each other
Answers
There are 8! (factorial) ways for the eight students to stand next to each other. However, since no two professors can stand next to each other, we need to alternate professors and students. We can start with a professor, then a student, then a professor, and so on.
There are 5! ways to arrange the five professors among the eight spaces where a professor can stand. Once the professors are arranged, there are 8 - 5 = 3 spaces left for students to stand. There are 8P3 (permutations) ways to arrange the three students among the three spaces.
Therefore, the total number of ways for eight students and five professors to stand next to each other such that no two professors are standing next to each other is 5! * 8P3 = 5,760 ways.
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Please help hard problem big reward of 12 points please help. If your can solve it please show me how you got the answer.Thanks
Answers
The measure of the intercepted arc is equal to 134 degrees
How to find the measure of arc BDThe measure of arc BD is calculated using the inscribed angle theorem, this theorem have that the measure of the inscribed angle is equal to half the measure of the intercepted arc.
This is represented mathematically as
inscribed angle = 1/2 x intercepted arc
Where
inscribed angle = 67
intercepted arc = ?
then we have that
inscribed angle = 1/2 x intercepted arc
67 = 1/2 x intercepted arc
intercepted arc = 2 x 67
intercepted arc = 134 degrees
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What is the IQR of the aged, in years?
Answers
The IQR of the ages, in years include the following: B. 16.
How to interpret the box-and-whisker plot?Based on the information provided about the given box plot or box-and-whisker plot, the five-number summary for the given data set include the following:
Minimum (Min) = 12.First quartile (Q₁) = 22.Median (Med) = 32.Third quartile (Q₃) = 38.Maximum (Max) = 44.How to calculate the interquartile range (IQR)?In Mathematics and Statistics, interquartile range (IQR) of a data set is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of data set = 38 - 22
Interquartile range (IQR) of data set = 16.
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Find the parallel line
Answers
Explanation:
Let the equation for the line we are trying to find be y = mx + b. The slope, m, has to be the same as the original line in the problem in order to make it parallel, so m = -6. Now since the new line must pass through the given point, let’s plug in 4 for x and -7 for y. We now have -7 = -24 + b. If we solve for b, we get 17 and have the requirements to form the equation for our new parallel line. Afterwards, plug in the point to make sure both sides are equal to each other.
e)
E
F
7
S
Statement
R
24
16
X+2
Reason
f)
Answers
Using the knowledge of similar triangles for the figure the value of x would be
12How to solve for xThe value of x is solved in a two column table as shown
Statement Reason
EF || RS given
EA / SA = FA / RA proportions of similar triangles are equal
24/16 = (7 + (x + 2)) / (x+2) substitution property of equality
24(x + 2) = 16(x + 9) simplifying
24x - 16x = 144 - 48 gathering like terms
8x = 96 division property of equality
x = 12
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Factor the polynomial. 5s5 − 15s3 − 25s
Answers
Answer:
5s(s4−3s2−5)
Step-by-step explanation:
What is the component form of the vector that translates the top house figure to the bottom house figure?
(7, -2)
(6, -4)
(5, -1)
(-4, 5)
Answers
Answer:
Mark me the brainliest
Step-by-step explanation:
Okay, let's break this down step-by-step:
The top figure represents the original vector: (7, -2)
To translate it to the bottom figure: (6, -4)
We need to determine the component form of the translation.
The x-component is 7 - 6 = 1 (it decreased by 1)
The y-component is -2 - (-4) = -2 (it decreased by 2)
Therefore, the component form of the translation is: (1, -2)
So the translation vector that transforms the top figure (7, -2) into the bottom figure (6, -4) is (1, -2).
Does this make sense? Let me know if you have any other questions!
Other than translation, what transformation is used to create this frieze pattern?
180° rotation
vertical reflection
horizontal reflection
glide reflection
Answers
The transformation to create the pattern is 180° rotation
Given data ,
Let the pattern be represented as figure A
Now , the figure A has footprints of the left leg
when rotating by 180° in the clockwise or anticlockwise direction , the sign only changes and it will be up side down
Hence , the transformation is 180° rotation
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Two different linear functions are shown in the table.
Which key feature is different for the two functions?
A.Domain B.Range C.End behavior D.Slope
Answers
The key feature that is different for the two functions is (d) the slope
Which key feature is different for the two functions?From the question, we have the following parameters that can be used in our computation:
Linear functions on a graph and a table
As a general rule
All linear functions have the same domain, the same range
The slope of the table is
Slope = (8 - 6)/(-8 + 4) = -1/2
The slope of the graph is
Slope = (2 + 1)/(0 - 1) = -3
This means that their slopes are different
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The stem-and-leaf plot displays the amount of time, in minutes, that 10 players spent practicing their serving skills for an upcoming tennis tournament.
Part A: Calculate the mean, median, mode, and range for the data given. Show your work.
Part B: Should the tennis players report the mean or median value to show they have practiced enough for the tournament? Explain based on the scenario.
Answers
The mean of the stem leaf plot is 29.09, median is 29 , range is 46 and mode is 41.
The data from stem leaf plot is 19, 22,26, 29,30,31,41,41,43,52,6
Mean = (19 + 22 + 26 + 29 + 30 + 31 + 41 + 41 + 43 + 52 + 6) / 11
Mean = 320 / 11
Mean = 29.09
To find median let us arrange the data in ascending order
6, 19, 22, 26, 29, 30, 31, 41, 41, 43, 52
So the median of the data is 29.
To find the mode of the data, we need to find the value that appears most frequently.
Mode is 41
To find the range of the data, we need to subtract the smallest value from the largest value:
So the range of the data is 46.
The tennis players should report the median value to show they have practiced enough for the tournament, as it is a more robust measure of central tendency for this dataset.
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It has been found that times taken by people to complete a particular tax form follow a normal distribution with a mean of 100 minutes and a standard deviation of 30 minutes. A random sample of nine people who have completed this tax form was taken. a) What is the probability that the sample mean time taken is less than 85 minutes?
Answers
The probability that the sample mean time taken is less than 85 minutes is 0.067 or 6.7%.
To answer this question, we can use the central limit theorem, which states that the distribution of sample means of a population with any distribution will approach a normal distribution as the sample size increases.
Given that the times taken to complete the tax form follow a normal distribution with a mean of 100 minutes and a standard deviation of 30 minutes, we can assume that the sample mean time taken also follows a normal distribution with a mean of 100 minutes and a standard deviation of 30 / sqrt(9) = 10 minutes (since the sample size is 9).
To find the probability that the sample mean time taken is less than 85 minutes, we need to standardize the sample mean using the formula z = (x - mu) / (sigma / sqrt(n)), where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.
Plugging in the values, we get z = (85 - 100) / (10) = -1.5.
We can then look up the probability of getting a z-score of -1.5 or lower in a standard normal distribution table or using a calculator. The probability is approximately 0.067 or 6.7%.
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A transportation authority conducts a survey of users of a commuter railroad. A random sample of passengers is selected, and each passenger in the sample is given a questionnaire. There are two questions on the questionnaire. The first question asks whether the passenger paid for the journey at the ticket office. using a machine located on the platform, or online. The second question asks how happy the passenger is with the transportation service (very happy, happy, neutral, or unhappy). A hypothesis test will be conducted to determine whether there is a association between the method of payment and happiness with the service. The test will use a chi-square distribution with k degrees of freedom. What is the value of k?
Answers
The value of k, or the degrees of freedom for this hypothesis test, is 6.
The value of k in this scenario would depend on the number of categories or levels for each of the variables being tested. Since the first question has three possible answers (ticket office, platform machine, online), and the second question has four possible answers (very happy, happy, neutral, unhappy), the degrees of freedom would be (3-1) x (4-1) = 6. Therefore, the chi-square distribution used in the hypothesis test would have 6 degrees of freedom.
To find the value of k, we need to determine the degrees of freedom for this chi-square test. The formula for calculating degrees of freedom in a chi-square test is:
k = (number of rows - 1) x (number of columns - 1)
In this case, the number of rows corresponds to the method of payment (ticket office, machine on the platform, or online), which gives us 3 rows. The number of columns corresponds to the levels of happiness (very happy, happy, neutral, or unhappy), which gives us 4 columns.
Using the formula:
k = (3 - 1) x (4 - 1)
k = 2 x 3
k = 6
The value of k, or the degrees of freedom for this hypothesis test, is 6.
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Write an explicit formula for � � a n , the � th n th term of the sequence 8 , 40 , 200 , . . . 8,40,200,
Answers
The explicit formula for the nth term of the sequence 8, 40, 200, ..., is:
[tex]a_n = 8 \times 5^{(n-1)}[/tex]
To find the explicit formula for the nth term of the sequence 8, 40, 200, ..., we first notice that each term is obtained by multiplying the previous term by 5. That is:
a₁ = 8
a₂ = 5a¹ = 40
a₃ = 5a² = 200
a₄ = 5a³= 1000
...
In general, we can write:
[tex]a_n = 5a_n-1[/tex]
where n is the index of the term in the sequence.
Using the initial term a₁ = 8, we can use the recursive formula to find the value of any term in the sequence. However, to find an explicit formula for the nth term, we can use the formula for a geometric sequence, which is:
[tex]a_n = a_1 \times r^{(n-1)}[/tex]
where r is the common ratio. In this case, the common ratio is 5, so we can substitute it into the formula to get:
[tex]a_n = 8 \times 5^{(n-1)}[/tex]
The explicit formula for the nth term of the sequence 8, 40, 200, ..., is:
[tex]a_n = 8 \times 5^{(n-1)}[/tex]
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We want the margin of error to be 2% while we are 95% confident. What sample size is
needed?
Answers
The sample size needed for the margin of error to be 2% while we are 95% confident is 9604.
Margin of error = 2%
Confidence interval = 95%
The formula to calculate the margin of error is,
MOE = z σ/√n
Here z is the test statistic, σ is the population standard deviation and n is the sample size.
For a normal distribution,
z value for 95% confidence interval = 1.96
Population standard deviation = 1
Substituting,
0.02 = 1.96 / √n
√n = 1.96 / 0.02
n = (1.96/0.02)² = 9604
Hence the sample size is 9604.
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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Answers
Median, because Beach Town is skewed. Therefore, option C is the correct answer.
The correct answer is Median, because Beach Town is skewed. The mean is the average of the data and works best when the data is symmetric, or evenly distributed around the center. Since the data for Beach Town appears skewed, with more temperatures on the higher end of the range, the median is a better measure for determining which location typically has a cooler temperature.
The median is the middle value of the data, so it is not affected by outliers as much as the mean.
The best measure of center to determine which location typically has the cooler temperature would be the median. The median is the best measure of center to use when comparing data because it is not affected by outliers or extreme values. Since both Sunny Town and Beach Town are skewed, the median is the more appropriate measure of center to use when comparing the data.
Therefore, option C is the correct answer.
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Cruz purchased a large pizza for $14.10. It serves 6 people. What is the cost per serving?
$1.41 per serving
$2.35 per serving
$3.04 per serving
$8.46 per serving
Answers
2.35
Explanation:
You take 14.10 and divide by 6 to get your answer, 2.35.
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interpretation trevor conducted a study and found that the correlation between the price of a gallon of gasoline and gasoline consumption has a linear correlation coefficient of 0.7. what does this result say about the relationship between price of gasoline and consumption? the study included gasoline prices ranging from $2.70 to $5.30 per gallon. is it reliable to apply the results of this study to prices of gasoline higher than $5.30 per gallon? explain.
Answers
Therefore, further research would be needed to determine if the relationship between the price of gasoline and gasoline consumption holds at higher prices.
A linear correlation coefficient of 0.7 indicates a strong positive linear relationship between the price of gasoline and gasoline consumption. In other words, as the price of gasoline increases, gasoline consumption also tends to increase. However, correlation does not necessarily imply causation, and there may be other factors at play that influence gasoline consumption.
It is not necessarily reliable to apply the results of this study to prices of gasoline higher than $5.30 per gallon because the study only included gasoline prices within that range. Extrapolating the results beyond the range of data may lead to inaccurate predictions or conclusions. Additionally, there may be other factors at play at higher prices that were not present within the range of prices studied.
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