The measure of the amount of variation in the observed values of the response variable that is explained by multiple linear regression is called the coefficient of determination, or R-squared.
R-squared is a statistical measure that ranges from 0 to 1 and represents the proportion of the variance in the dependent variable that is explained by the independent variables in the model. An R-squared value of 1 indicates that all of the variation in the response variable is explained by the independent variables, while a value of 0 indicates that none of the variation is explained by the model.
R-squared is a useful tool for evaluating the goodness of fit of a multiple linear regression model and can be used to compare different models. However, it is important to keep in mind that R-squared alone does not necessarily indicate the validity or usefulness of a model, and other factors should also be considered in model selection and evaluation.
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In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class does not have a sister? Has a brother Does not have a brother Has a sister 3 12 Does not have a sister 2 7
The probability that a student chosen randomly from the class has a brother and a sister is 3/29
How to determine the probability?From the table, we have the following values
Number of students = 29
Students that have a brother and a sister = 3
The probability is then calculated using:
P = Students that have a brother and a sister/Number of students
Substitute known values
P = 3/29
Hence, the probability that a student chosen randomly from the class has a brother and a sister is 3/29
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According to the general equation for conditional probability, if P(A^ B') = ²
and P(B) = 3, what is P(A[B) ?
See photo for full question, please help asap it’s due soon!
Answer:
To solve for P(A[B), we can use Bayes' theorem, which states that P(A[B) = P(A^B) / P(B). Using the information given, we know that P(A^B') = ², which means that P(B') = 1 - P(B) = 1 - 3 = 2. Therefore, we can also find that P(A^B) = P(B) - P(B^A') = 3 - ² = ². Finally, we can plug these values into Bayes' theorem to get P(A[B) = ² / 3.
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2/3 is answer
Help me please I will give brainliest HELP FAST TOO
Answer:60
Step-by-step explanation:
We can start by splitting the figure into 3 rectangals. one with side lengths 4,6 another with 5,4 and another with 4,4. Then we get 24+20+16=60
About 15% of people in America use a certain social media website. In a group with 20 people (assume that it is a random sample of people in America), what are the following probabilities? (Round your answers to three decimal places. )
The probability( likelihood ) that fewer than 3 people in the group of 20 use the social media website is approximately 0.483.
Let X be the number of individuals within the gather of 20 who utilize the social media website.
Since each individual within the bunch either employments or does not utilize the site, X takes after a binomial conveyance with parameters n=20 and p=0.15.
a) P(X = 3) can be calculated utilizing the binomial likelihood equation:
P(X = 3) = (20 choose 3) * [tex]0.15^3 * 0.85^17[/tex]
Employing a calculator, we get:
P(X = 3) ≈ 0.202
In this manner, the likelihood that precisely 3 individuals within the bunch of 20 utilize the social media site is roughly 0.202.
b) P(X < 3) can be calculated utilizing the aggregate dispersion work of the binomial conveyance:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
Utilizing the binomial likelihood equation, we get:
P(X = 0) = [tex]0.85^20[/tex] ≈ 0.026
P(X = 1) = (20 select 1) * [tex]0.15^1 * 0.85^19[/tex] ≈ 0.149
P(X = 2) = (20 select 2) * [tex]0.15^2 * 0.85^18[/tex] ≈ 0.308
Including these probabilities, we get:
P(X < 3) ≈ 0.483
In this manner, the likelihood that less than 3 individuals within the gather of 20 utilize the social media site is around 0.483.
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(1 point) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. f t c verges without being in nity or If it diverges to infinity, state your answer as in. If it diverges to negative infinity, state your answer as negative infinity, state your answer as div.) f 9(4") 13 lim -00 Answer:-12/9 Preview My Answers Submit Answers You have attempted this problem 5 times. Your overall recorded score is 0%. You have unlimited attempts remaining.
In this case, the exponential term (4^n) grows much faster than the quadratic term (n^2). Therefore, the numerator will grow at a much faster rate than the denominator as n approaches infinity. Consequently, the limit does not exist, and the sequence is divergent.
The given sequence is: f_n = 9/(4^n) + 13.
To determine whether this sequence is convergent or divergent, we can take the limit of f_n as n approaches infinity:
lim (n → ∞) f_n = lim (n → ∞) (9/(4^n) + 13)
As n approaches infinity, (4^n) goes to infinity much faster than 9, so the entire first term of the sequence goes to 0. Therefore:
lim (n → ∞) f_n = lim (n → ∞) (0 + 13) = 13
Since the limit exists and is finite, the sequence converges. Its limit is 13.
To determine whether the given sequence is convergent or divergent, we first need to identify the sequence. Based on your question, it appears the sequence is:
f(n) = (9(4^n) + 13) / (n^2)
Now, let's evaluate the limit as n approaches infinity:
lim (n → ∞) (9(4^n) + 13) / (n^2)
In this case, the exponential term (4^n) grows much faster than the quadratic term (n^2). Therefore, the numerator will grow at a much faster rate than the denominator as n approaches infinity. Consequently, the limit does not exist, and the sequence is divergent.
Your answer: The sequence is divergent.
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Geometry
Find X hjjiftudr
Using the inscribed angle theorem, the value of x is calculated as: x = 96 degrees.
How to Find the Value of x Using the Inscribed Angle Theorem?We have to recall the inscribed angle theorem in order for us to create an equation that would enable us calculated the value of x in the circle that is given above. The theorem simply states the following:
Measure of intercepted arc = 2(measure of inscribed angle).
The intercepted arc = x
The inscribed angle = 48 degrees
Therefore, applying the theorem we have equation below:
x = 2(48)
x = 96°
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Asume that you have a balance of 6000 on your MasterCard and that you make that are minimum payment of the balance Find a turmus for the balance er month term decimal You with a which with a new The product within the sale showtember that Hint You are not read to use the symbole that were Tower of lette en MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 9. Points DETAILS 13.00 Assume that you have a balance of 56000 on your MasterCard and that you more charges. Asume that are the same minimum payment of of the balance Find a formula for the balanceert met pynt (encat four decimates.) Mine : You must write the formulation, which means that The product within the square brackets should be entered that is Hint You are not the type the way we your yard , Het 3 Typ the boter the exponent
I apologize, but I am having difficulty understanding your question. Can you please provide more information or clarify the terms and calculations you are requesting. Here's a step-by-step explanation to find a formula for the balance after each month:
1. Start with the initial balance on your MasterCard: $6,000.
2. Each month, you make a minimum payment (let's call it 'P') of the balance.
3. After making the payment, the remaining balance will be Balance - Payment = 6000 - P.
4. Assuming no additional charges and an interest rate (let's call it 'i'), we can calculate the new balance after interest is added.
5. New balance = (Remaining balance) * (1 + i) = (6000 - P) * (1 + i).
6. To find the balance after each month, replace 'n' in the formulation with the number of months that passed.
The formula for the balance after 'n' months would be: (6000 - P) * (1 + i)^n.
Please note that you will need to know the minimum payment percentage ('P') and the interest rate ('i') to calculate the exact balance.
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Can someone help me asap? It’s due today!! I will give brainliest if it’s correct
Assume that farm sizes in a particular region are normally distributed with a population standard deviation of 200 acres. a random sample of 11 farm sizes in this region, in acres, is given below. estimate the mean farm size for this region with 90% confidence. round your answers to two decimal places and use ascending order. Farm size 67 165 170 296 351 409 486 770 1092 1321 2612
To estimate the mean farm size for the region with 90% confidence, we can use the t-distribution since the population standard deviation is not known and the sample size is small (n = 11).
First, we need to calculate the sample mean and the sample standard deviation:
Sample mean (x) = (67 + 165 + 170 + 296 + 351 + 409 + 486 + 770 + 1092 + 1321 + 2612) / 11 = 643.36
Sample standard deviation (s) = √[Σ(xi - x)² / (n - 1)] = 565.90
Next, we need to find the t-value for a 90% confidence interval with 10 degrees of freedom (n-1=11-1=10). Using a t-distribution table or calculator, the t-value for a 90% confidence interval with 10 degrees of freedom is 1.812.
Finally, we can calculate the confidence interval for the population mean:
Margin of error (E) = t-value * (s / √n) = 1.812 * (565.90 / √11) = 374.23
Lower bound of the confidence interval = x- E = 643.36 - 374.23 = 269.13
Upper bound of the confidence interval = x+ E = 643.36 + 374.23 = 1017.59
Therefore, we can estimate with 90% confidence that the mean farm size in the region is between 269.13 acres and 1017.59 acres. Rounded to two decimal places in ascending order, the interval is (269.13, 1017.59).
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A simple random sample of 31 observations was taken from a large population that has a mean of 5.2 and a standard deviation of 1.1. From the sample, the average was calculated to be 5 and the standard deviation was computed as 0.92. The number 1.1 in this scenario is a
The number 1.1 in this scenario is the population standard deviation, which represents the variability of the entire population.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The sample standard deviation of 0.92 is an estimate of the population standard deviation based on the sample data. The sample mean of 5 is also an estimate of the population mean based on the sample data. By using the sample statistics, we can make inferences about the population parameters with a certain level of confidence.
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Why do we prefer Logistic Regression over Linear Regression for classification problems? O (1), (2) & (3) The predicted values are much more interpretable as they lie in the range of 0 to 1. The sigmoid curve fits the data better than a straight line. Linear regression minimizes the mean squared error whereas logistic regression uses maximum likelihood estimation to estimate parameters.
Logistic Regression is preferred over Linear Regression for classification problems for several reasons.
Firstly, the predicted values in Logistic Regression are much more interpretable as they lie in the range of 0 to 1, which represents the probability of a certain outcome occurring. In contrast, Linear Regression predicts continuous values which are difficult to interpret as probabilities.
Secondly, the sigmoid curve used in Logistic Regression fits the data better than a straight line used in Linear Regression. This is because the sigmoid curve captures the non-linear relationships between the input variables and the output variable, which is often the case in classification problems.
Lastly, Logistic Regression uses maximum likelihood estimation to estimate parameters, whereas Linear Regression minimizes the mean squared error. Maximum likelihood estimation is a more appropriate method for estimating parameters in classification problems as it takes into account the binary nature of the output variable. Linear Regression, on the other hand, does not consider this binary nature and may not produce accurate results in classification problems.
In summary, Logistic Regression is preferred over Linear Regression for classification problems because of its interpretable predicted values, better fit to non-linear relationships, and appropriate method of estimating parameters using maximum likelihood estimation.
We prefer Logistic Regression over Linear Regression for classification problems for the following reasons:
1) Predicted values in Logistic Regression are more interpretable as they lie in the range of 0 to 1, representing probabilities of class membership, while Linear Regression predicts continuous values which may not directly indicate class membership.
2) The sigmoid curve in Logistic Regression fits the data better for classification problems, as it represents a natural threshold between classes, while a straight line from Linear Regression may not provide clear separation between classes.
3) Logistic Regression uses maximum likelihood estimation to estimate parameters, which makes it more suitable for classification problems as it finds the best fit for the probability of class membership. Linear Regression minimizes the mean squared error, which focuses on minimizing the distance between predicted and actual values, but does not directly optimize for class membership probabilities.
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write a declaration for variables length, width, and area that can hold values like 13.5 and 14.6.
To declare variable's length, width, and area that can hold decimal values like 13.5 and 14.6, the following code can be used: var length = 13.5;
var width = 14.6; var area = length * width; The variables length and width hold the decimal values of 13.5 and 14.6 respectively, and the variable area is calculated by multiplying the length and width variables.
These variables can be used to represent the dimensions of a rectangular shape in a program or application. Additionally, if the values of length and width are subject to change, they can be updated to reflect the new values and the area variable can be recalculated accordingly.
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1
ANTHONY
Enter an expression equivalent to (5x2 + 3x + 4)-(2x2 + 1)-(7x + 3) using the fewest number of possible terms.
An expression equivalent to (5x2 + 3x + 4)-(2x2 + 1)-(7x + 3) using the fewest number of possible terms is calculated to be 3x² - 4x.
We can simplify the given expression by combining like terms. By doing so, we can obtain an equivalent expression with the fewest number of possible terms. In this case, we combine the terms with the same variable and exponent and simplify the constant terms to get the simplified expression of 3x² - 4x.
(5x² + 3x + 4) - (2x² + 1) - (7x + 3)
= 5x² + 3x + 4 - 2x² - 1 - 7x - 3 (distributing the negative sign)
= (5x² - 2x²) + (3x - 7x) + (4 - 1 - 3)
= 3x² - 4x
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(Finding the Second Sol. Using the Variation of Parameters): i) One solution of the differential equation y" + 4y = 0 is y = cos2x. A second linearly independent solution is (Select the correct answer). ii) Write the general solution. Ô a. y=xcosx b.y = cos 2x O cy=e d.y=e* e.y = sin 2x
i) The variation of parameters method can be used to find the second solution. Let y = u(x)cos(2x), then y' = u'(x)cos(2x) - 2u(x)sin(2x), and y'' = u''(x)cos(2x) - 4u'(x)sin(2x) - 4u(x)cos(2x).
Substituting these into the differential equation, we get:
u''(x)cos(2x) - 4u'(x)sin(2x) - 4u(x)cos(2x) + 4u(x)cos(2x) = 0
Simplifying, we get:
u''(x)cos(2x) - 4u'(x)sin(2x) = 0
Dividing by cos(2x), we get:
u''(x) - 4tan(2x)u'(x) = 0
This is a first-order linear differential equation, which can be solved using an integrating factor. The integrating factor is e^(-2ln|cos(2x)|) = cos^(-2)(2x). Multiplying both sides by this, we get:
cos^(-2)(2x)u''(x) - 4cot(2x)cos^(-2)(2x)u'(x) = 0
The left-hand side is the derivative of cos^(-2)(2x)u'(x) with respect to x, so we can integrate both sides to get:
cos^(-2)(2x)u'(x) = C1
where C1 is a constant of integration. Integrating again, we get:
u(x) = C1int(cos^(-2)(2x)dx) + C2
This integral can be evaluated using the substitution u = sin(2x), du/dx = 2cos(2x), to get:
u(x) = C1arcsin(tan(2x)) + C2
Therefore, the second linearly independent solution is y = u(x)cos(2x) = (C1arcsin(tan(2x)) + C2)cos(2x).
ii) The general solution is y = c1cos(2x) + c2[(arcsin(tan(2x)))cos(2x)], where c1 and c2 are constants.
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Three tulip bulbs are planted in a window box. Find the probability that at least one will flower if the probability that all will fail to flower is 1/8 .
The probability that none of the bulbs will fail to flower (i.e. at least one will flower) is 1 - 1/8, or 7/8. Therefore, the probability that at least one tulip bulb will flower is 7/8.
To find the probability that at least one tulip will flower, we can use the complementary probability. The complementary probability is the probability of the opposite event occurring, which in this case is the probability of not all tulips failing to flower.
Given that the probability that all tulips will fail to flower is 1/8, the probability that at least one tulip will flower is:
P(at least one tulip flowers) = 1 - P(all tulips fail to flower) = 1 - 1/8 = 7/8
So, when the three tulip bulbs are planted in the window box, there is a 7/8 probability that at least one will flower.
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What is the correct answer?
The numbers in order from least to greatest are -20, -9, -5, -2, 2.2, 2.5, 2.7
The absolute value of 34 is |34|
The winner of the tournament is Whitney who scored -16.
February 2nd was warmer with a high temperature of 48 °F.
Chicken salad > Hamburger
What is the number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
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due in a few minuets Determine the number of solutions that 5x^2 + 3x + 8 has without solving the equation.
There are two solutions does the equation have.
We have to given that;
The equation is,
⇒ 5x² + 3x + 8
Now, We can see that;
The degree of equation is, 2
Hence, There are two solution of the equation are possible.
Thus, There are two solutions does the equation have.
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5 upon 7 + 2 upon 11 + -8 upon 7 + 6 upon 11
Answer:
23/77
Step-by-step explanation:
To simplify this expression, we need to find a common denominator for all the fractions. The smallest common multiple of 7 and 11 is 77. So, we'll convert each fraction to an equivalent fraction with a denominator of 77.
5/7 = (5 * 11)/ (7 * 11) = 55/77
2/11 = (2 * 7)/ (11 * 7) = 14/77
-8/7 = (-8 * 11)/ (7 * 11) = -88/77
6/11 = (6 * 7)/ (11 * 7) = 42/77
Now we can add the fractions:(55/77) + (14/77) + (-88/77) + (42/77) = 23/77So the simplified answer is 23/77.
what is the quotient of the polynomials shown below (12x^3+26x^2+25)÷(2x+5)
The quotient of the polynomials is 6x^2 - 2x + 5 with a remainder of -50.
The quotient of polynomials show (12x^3+26x^2+25)÷(2x+5)
To find the quotient of the polynomials ÷ (2x + 5), you can use polynomial long division as follows:
6x^2 - 2x + 5
-----------------------
2x + 5 | 12x^3 + 26x^2 + 25
- (12x^3 + 30x^2)
---------------
-4x^2 + 25
- (-4x^2 - 10x)
--------------
35x + 25
- (35x + 75)
-------------
-50
Therefore, the quotient of the polynomials is 6x^2 - 2x + 5 with a remainder of -50.
Find the critical value(s) of t that specify the rejection region for the situation given. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused region.) a left-tailed test witha = 0.01 and 8 dft>t
In this case, you're looking for the critical value of a left-tailed t-test with a significance level (α) of 0.01 and 8 degrees of freedom (df).
A left-tailed test focuses on the lower tail of the distribution, and the rejection region is in the left tail. Since it's a one-tailed test, there's no need to find a critical value for the unused region, so we will enter "NONE" for that.
To find the critical value, you need to consult a t-distribution table or use a calculator or software that provides t-distribution values. Look for the value that corresponds to a 0.01 significance level (α) and 8 degrees of freedom (df).
After checking the t-distribution table or using a calculator, you'll find the critical value to be approximately -2.896. So, for this left-tailed t-test, any t-value less than -2.896 would fall into the rejection region, indicating a significant result.
In summary:
- Critical value (left-tailed): -2.896 (rounded to three decimal places)
- Critical value (unused region): NONE
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Solve And Fill In The Boxes
Answer:
Step-by-step explanation:
subtract (x - 13) and 52 and you will get x-56Answer: The angles are supplementary, the value of x is 141
Step-by-step explanation:
Because this shows a straight line with two angles, one being algebraic (albeit unrelated to finding if the angles are supplementary) this tells you that the value of x is found by using an equation like this:
[tex]\left(x-13\right)=180-52[/tex]
You can then subtract 52 from 180, giving you
[tex]\left(x-13\right)=128[/tex]
Now you can add 13 to both sides
[tex]x-13+13=128+13[/tex]
[tex]x=141[/tex]
How do i write six hundred thousand eight in standard form
Th given number " six hundred thousand eight" can be written in the standard form as 600,008.
To write "six hundred thousand eight" in standard form, we need to write the number using digits in the appropriate place value positions.
The digit "8" is in the "ones" position, the digit "0" is in the "tens" position, the digit "0" is in the "hundreds" position, the digit "0" is in the "thousands" position, the digit "0" is in the "ten thousands" position, and the digit "6" is in the "hundred thousands" position.
Therefore, it can be concluded that we can write the given number in standard form as 600,008.
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A total of $7000 is invested: part at 7% and the remainder at 12%. How much is invested at each rate if the annual interest is $650?
Answer:
3800 invested at 7%; 3200 invested 12%
Step-by-step explanation:
We will need a system of equations to solve for the interest invested at both interest rates.
We can allow x to represent the amount invested at 7% and y to represent the amount invested at 12%.
We know that the amount invested at 7% + the amount invested at 12% = total investment
Thus, our first equation is x + y = 7000
We further know that the interest earned at 7% + the interest earned at 12% = total interest earned
Since we calculate interest by multiplying the investment and the interest rate, our other equation is 0.07x + 0.12y = 650 (we had to convert the percentages to decimals for the sake of the problem)
We can solve first for y by isolating x in the first equation and plugging it in for y in the second equation:
[tex]x+y=7000\\x=-y+7000\\\\0.07(-y+7000)+0.12y=650\\-0.07y+490+0.12y=650\\0.05y+490=650\\0.05y=160\\y=3200[/tex]
Now that we've found y, we can solve for x using any of the two equations, although the equation with no coefficients is much simpler:
[tex]x+3200=7000\\x=3800[/tex]
Now, we can check by plugging in 3800 for x and 3200 for y in both equations:
First equation
3800 + 3200 = 7000
7000 = 7000
Second equation
0.07(3800) + 0.12(3200) = 650
266 + 384 = 650
650 = 650
pls hlp thx your the best
Answer:
y=3x-12
Step-by-step explanation:
We can simply apply the formula;
[tex]y = y1 = m(x - x1)[/tex]
When x1 and y1 are points on the line and m is the gradiant
Hence,
[tex]y - ( - 3) = 3(x - 3)[/tex]
[tex]y + 3 = 3x - 9[/tex]
Hence when arranging to yields:
[tex]y = 3x - 12[/tex]
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An analyst collected data from 25 randomly selected transactions and found the purchase amounts (in $) The mean is $32.84 and the standard deviation is $14.35. The analyst wants to know if the mean purchase amount of all transactions is at least $27. Use the given information to complete parts a through e. 45.08 43.89 48.85 46.09 37.34
47.54 20.63 26.79 37.08 43.22
47.34 16.98 5.17 44.84 24.68
23.24 45.32 14.49 19.47 3.18
49.39 33.34 41.09 38.48 17.41
a) What is the null hypothesis ? H0: mu = $27 (Type an integer or a decimal) b) Is the alternative one-or two-sided?
The alternative hypothesis is __ c) What is the value of the test statistic? The test statistic is. __ (Round to two decimal places as needed.) d) What is the P-value of the test statistic? P-value = __ (Round to four decimal places as needed.) e) What do your conclude at a = 0.005? The P-value is___, so ___the null hypothesis. There is ___evidence to conclude that the mean purchase amount of all transactions is greater than $27
a) The null hypothesis is H0: mu = $27.
b) The alternative hypothesis is one-sided, as the analyst wants to know if the mean purchase amount of all transactions is at least $27. So, Ha: mu > $27.
c) To calculate the test statistic, use the formula: (sample mean - null hypothesis mean) / (standard deviation / sqrt(sample size)). Plugging in the given values: (32.84 - 27) / (14.35 / sqrt(25)) = 5.84 / (14.35 / 5) = 5.84 / 2.87 = 2.04. The test statistic is 2.04 (rounded to two decimal places).
d) To find the P-value, look up the test statistic (2.04) in the t-distribution table with 24 degrees of freedom. The P-value for a one-sided test is 0.0264 (rounded to four decimal places).
e) With a significance level of α = 0.005, the P-value is 0.0264, which is greater than α. So, we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean purchase amount of all transactions is greater than $27.
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A rectangle is 8 millimetres wide and 27 millimeters long. What is the area of this rectangle
As per the given information, the total length of a rectangle is 216mm²
Length of the rectangle = 8 mm = 5.2 cm
Width of the rectangle = 27 mm = 2.0 cm
A quadrilateral, also known as a four-sided polygon, is characterised by four right angles, each of which is 90 degrees, and opposing sides that are parallel and of equal length. It is a four-sided geometric object having right angles at each of its four corners and opposing sides that are parallel and of equal length.
Using the formula for area of rectangle -
Area of rectangle = Length x width
Substituting the values -
Area = 27 x 8
= 216
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Which cylinders have the same volume as the cylinder below? Check all that apply.
A cylinder with height of 32 meters and diameter of 20 meters.
Group of answer choices
A cylinder with height of 16 meters and diameter of 40 meters.
A cylinder with height of 64 centimeters and diameter of 5 meters.
A cylinder with height of 8 meters and diameter of 40 meters.
A cylinder with height of 64 centimeters and diameter of 10 meters.
A cylinder with height of 20 meters and diameter of 32 meters.
A cylinder with height of 128 meters and diameter of 10 meters.
The cylinders that have the same volume as the one given are: option C and option F.
What is the Volume of a Cylinder?The volume of a cylinder = V = πr²h
Note: r is the radius and h is the height of the cylinder.
The cylinder given has:
h = 32 m
r = 20/2 = 10 m
V = π* 10² * 32 ≈ 10053.1 m³
Option A:
h = 16 m
r = 40/2 = 20 m
V = π*20²*16 ≈ 20106.2 m³
Option B:
h = 64 m
r = 5/2 = 2.5 m
V = π * 2.5² * 64 ≈ 1256.6 m³
Option C:
h = 8 m
r = 40/2 = 20 m
V = π * 20² * 84 ≈ 10053.1 m³
Option D:
h = 64 m
r = 10/2 = 5 m
V = π * 5² * 64 ≈ 5026.55
Option E:
h = 20 m
r = 32/2 = 16 m
Volume = π * 16² * 20 ≈ 16084.95 m³
Option F:
h = 128 m
r = 10/2 = 5 m
Volume = π * 5² * 128 ≈ 10053.1 m³
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A farmer wants to study the effect of letting her Holstein cows, Bos Taurus, roam freely compared to keeping them in a small pen. Specifically, she wants to know if they are less able to put on weight if they are restricted to a smaller space. She has a sample of 40 young cows of the same size to study. For each of the following scenarios, name the appropriate statistical test she should run and write the appropriate null hypothesis for each (you do not need to include the alternative hypotheses):
She randomly divides her sample into two even groups and raises one group in the pen and the other group in an open pasture. After the cows reach adulthood, she wants to compare the weights of the two groups. The data passed all parametric assumptions.
She randomly divides her sample into two even groups and raises one group in the pen and the other group in an open pasture. When they reach adulthood, she records their weights as either "healthy" or "undernourished."
She knows that an average adult cow should weigh 1,300 pounds. So she raises all 40 cows in the small pen and measures their weight once they reach adulthood. Although the raw weight measurements were not normally distributed, the log-transformed weights pass the normality assumption.
For scenario 1, the appropriate statistical test to run is an independent samples t-test. The null hypothesis would be that there is no significant difference in weight gain between cows raised in a pen and those raised in an open pasture.
For scenario 2, the appropriate statistical test to run is a chi-squared test for independence. The null hypothesis would be that there is no significant association between the type of environment the cows were raised in and their weight status (healthy vs. undernourished).
For scenario 3, the appropriate statistical test to run is a one-sample t-test. The null hypothesis would be that the mean weight of the cows raised in the small pen is equal to 1,300 pounds.
1. In the first scenario, the farmer should use an independent samples t-test. The null hypothesis would be: There is no significant difference in the weight of Holstein cows (Bos Taurus) raised in a small pen compared to those raised in an open pasture.
2. In the second scenario, the farmer should use a chi-square test of independence. The null hypothesis would be: There is no significant association between the rearing environment (small pen or open pasture) and the health status (healthy or undernourished) of Holstein cows (Bos Taurus).
3. In the third scenario, the farmer should use a one-sample t-test on the log-transformed weights. The null hypothesis would be: The mean log-transformed weight of Holstein cows (Bos Taurus) raised in a small pen is equal to the log-transformed weight of 1,300 pounds, indicating no significant difference from the expected average adult cow weight.
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(PLEASE ANSWER ASAP I WILL GIVE 50 PIONTS.)
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (–5, 3), (–5, –7), and (5, –7)?
(5, –3)
(5, 3)
(–5, 7)
(–5, –3)
Answer:
The fourth vertex needed to create a rectangle with vertices located at (−17, 15), (−17, −7), and (−5, −7) is (-5, 15).
Step-by-step explanation:
Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.
Given three vertices, let it be A, B and C.
A(-17, 15), B(-17, -7) and C(-5, -7).
Let D be the point required.
By looking at other points, we can see that the sides of a rectangle will be parallel to the axes.
So, we know that the fourth point must have the same y coordinate as that of A and has same x coordinate as that of C.
So the forth vertex D is (-5, 15).
Hence the forth vertex is (-5, 15).
Can someone help me please
The domain of the given function is the one in option A,
Domain = 4 ≤x ≤13
What is the domain of the function in the graph?To identify this, just look at the horizontal axis (which is the axis of the inputs, and we know that the domain is the set of the inputs of the function), here we can see that the graph (which is the bell-shaped curve) starts at 4 and ends at 13.
Then the domain is the set of all values between these two, we can write this as:
Domain = 4 ≤x ≤13
Thus the correct option is A.
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