She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i
=600+4.93X i
, where Y
^
i
denotes the predicted number of apricots obtained from the I th tree and X i
denotes the number of units of fertilizer used on the I th tree. A. H 0
:β 1
≥5.14 and H 1
:β 1
<5.14. B. H 0
:β 1
>4.93 and H 1
:β 1
≤4.93. C. H 0
:β 1
=5.14 and H 1
:β 1
=5.14. D. H 0
:β 0
=4.93 and H 1
:β 0
=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1
Answers
Given statement solution is :- The t-statistic associated with the test is approximately -0.28.
The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.
The estimated slope coefficient is 4.93.
The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).
The predicted slope's standard error is 0.74.
The formula to calculate the t-statistic is:
t = (estimated slope - hypothesized slope) / standard error
Plugging in the values:
t = (4.93 - 5.14) / 0.74
t = -0.21 / 0.74
t ≈ -0.28 (rounded to two decimal places)
Therefore, the t-statistic associated with the test is approximately -0.28.
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Related Questions
Find the values or a and b
Answers
Answer:
a=33 ( vertically opposite angles)
a+90=b( sum of opposite interior angle is equal exterior angle)
33+90 = b
b=123
A car originally sold for $25,900. it depreciates exponentially at a rate of 8.2% per year. nina put $10,000 down and pays $550 per month to pay off the balance. after how
what will that value be?
many years will her car value equal the amount she paid for the car to that point?
Answers
After 1.8 years, the value equals the amount she paid for the car.
The value will be $ 22,131.10.
To solve the problem, find both the expense equation and depreciation equation.
The exponential depreciation equation will be:
\(y=25,900(1-0.082)^x\)
Where x represents time in years.
The expense equation will be: y=550 x+10,000
Where x represents the number of months that have passed
If x represents time in years in the expense equation, then it determines the yearly payment rather than the monthly payment.
Over the course of the year, Nina will have paid 550(12) or $ 6,600 in car payments.
The new yearly expense equation will be: y=6,600 x+10,000
Where x is time in years.
Use the two equations to find the point of intersection which will give the time she paid for the car and the value paid by her.
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I NEED HELP PLEASE WITH THIS PROBLEM
Answers
Answer:
48
Step-by-step explanation:
the ratio of blue cards to yellow cards can be expressed with
4:3.
the total amount of blue and yellow cards can be interpreted as 4x+3x=7x
then you can find the value of x by dividing 84/7, which is 12
since the value of blue cards is 4x, 4(12) = 48
The slope of the line that contains the points (4, 10) and (5, 13) is 3. Find the y-intercept.
A. -26
B. -2
C. 8
D. 34
The slope of the line that contains the points (-2, -1) and (3, 19) is 4. Find the y-intercept.
A. -7
B. -2
C. 2
D. 7
Answers
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (4, 10 ) , then
10 = 12 + c ⇒ c = 10 - 12 = - 2 → B
D
Given m = 4 then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 19 ), then
19 = 12 + c ⇒ c = 19 - 12 = 7 → D
please help
if x = 3 and y=-4 find x2 + y2 and x2 -y2
Answers
(3)2 + y2 = for x2 + y2
(3)2 - y2 = for x2 - y2
This would get you for both equations..
6 + y2 = for x2 + y2
6 - y2 = for x2 - y2
2. Now let’s plug in the value of y which is -4:
6 + (-4)2 = for x2 + y2
6 - (-4)2 = for x2 + y2
This would get you for both equations...
-2 = x2 + y2
14 = x2 - y2
Hope this helped, have an awesome day!
Which of the following functions is graphed below?
8
84
4.
24
-8
2
4
8
8
12
-2
4
-6+
-87
Answers
Answer:
Step-by-step explanation:-
-
-8239910.76
two sides of rectangle are (2x + 5xy) and (-7x - 10xy ). Find its perimeter
Answers
Answer:
-10x (1 - y)
Step-by-step explanation:
Given :-
Side 1 = (2x + 5xy)
Side 2 = (-7x - 10xy)
To Find :-
Perimeter
Formula :-
Perimeter (rectangle) = 2 (Side 1 + Side 2)
Solving :-
Perimeter = 2 (2x + 5xy - 7x - 10xy)
= 2 (-5x - 5xy)
= -10x (1 - y) => [Solution]
Step-by-step explanation:
perimeter: 2 (2x+ 5xy+(-7x-10xy)
= 2(2x+5xy-7x-10xy)
= 4x+10xy-14x-20xy
= -10x-10xy
= -10x(1+y).
Answer: -10x(1+y)
A researcher wants to find out how much people tip on average and she asks people to stop and chat as they are leaving a local family restaurant. O self-interest study O voluntary response bias O nonresponse bias or missing data O perceived lack of anonymity O loaded or leading question
Answers
The answer to the researcher's question would be affected by the perceived lack of anonymity.
The perceived lack of anonymity refers to a situation where individuals feel that their responses or actions may not remain confidential or anonymous. In the given scenario, the researcher is asking people to stop and chat as they are leaving the restaurant. This method of data collection may create a perceived lack of anonymity, which can significantly impact the responses obtained from the individuals.
When people feel that their responses are not anonymous, they might be hesitant to provide honest or accurate information. They may feel pressured to provide socially desirable answers or modify their responses to fit societal expectations. In the case of tipping at a restaurant, individuals might feel judged or scrutinized based on their tipping behavior, leading to biased or inaccurate responses.
This perceived lack of anonymity can introduce response bias into the study. People might be less inclined to disclose their actual tipping amounts, resulting in underreported or distorted data. This bias can affect the accuracy and representativeness of the findings and lead to misleading conclusions about the average tipping behavior.
To minimize the impact of perceived lack of anonymity, researchers often employ methods that ensure privacy and confidentiality. For example, anonymous surveys or questionnaires can be used to collect data on tipping habits, allowing individuals to provide their responses without the fear of being identified or judged. Alternatively, researchers can collect data through indirect methods, such as observing tipping behavior without directly interacting with the individuals involved.
In summary, the researcher's approach of stopping and chatting with people as they leave the restaurant creates a perceived lack of anonymity, which can introduce bias into the study. To obtain more accurate and reliable data on average tipping amounts, it is essential to ensure privacy and anonymity in data collection methods.
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Use the graph to answer the question. Graph of a polygon ABCD with vertices at 6 comma 3, 15 comma 3, 15 comma 9, 6 comma 9 and a second polygon A prime B prime C prime D prime with vertices at 2 comma 1, 5 comma 1, 5 comma 3, 2 comma 3. Determine the scale factor used to create the image. 3 one third one half 2
Answers
The scale factor used to create the image include the following: B. one third.
What is scale factor?In Mathematics and Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image (original figure)
By substituting the given parameters into the formula for scale factor, we have the following;
Scale factor = Dimension of image/Dimension of pre-image
Scale factor = 2/6
Scale factor = 1/3.
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T/FThe area of descriptive statistics was developed to provide further detail to statisticians about population inferences.
Answers
Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.
True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.
False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.
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What is the value of the following expression when x = 4, 7x + 6(3x-8)
Answers
Answer:
52
Step-by-step explanation:
1) 7x + 6(3x-8)
2) 7(4) + 6(3(4)-8)
3) 28 + 6(12-8)
4) 28 + 6(4)
5) 28 + 24
6) 52
Customers are used to evaluate preliminary product designs. In the past, 90% of highly successful products received good reviews, 80% of moderately successful products received good reviews and 5% of poor products received good reviews. In addition, 50% of products have been highly successful, 30% of have been moderately successful and 20% have been poor products. If a new design attains a good review, what is the probability that it is a poor product
Answers
The probability that it is a poor product given that it received a good review is 0.0148.
Let's solve the problem with Baye's theorem: Baye's theorem is used to find the probability of an event happening, based on the probability of another event that has already happened. It is expressed as P(A/B)= P(B/A) * P(A)/P(B).In this case, the events are:
A: The product is poor.
B: The product receives a good review.
P(A/B) is the probability that the product is poor, given that it receives a good review. P(B/A) is the probability that the product receives a good review, given that it is poor. P(A) is the probability that a product is poor. P(B) is the probability that a product receives a good review. Let's find out the probabilities for each event:
P(A) = 0.20P(B) = P(B/A) * P(A) + P(B/M) * P(M) + P(B/H) * P(H)
= 0.05 * 0.20 + 0.80 * 0.30 + 0.90 * 0.50
= 0.675P(B/A) = 0.05P(A/B) = P(B/A) * P(A)/P(B)
= (0.05 * 0.20)/0.675 = 0.0148
The probability that a new design attains a good review is 0.675. The probability that it is a poor product given that it received a good review is 0.0148.
Therefore, the probability that it is a poor product given that it received a good review is 0.0148.
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What is the solution to the system of equations y =- 3x 2 5x 2y 15?
Answers
The solution for the system of equations is (-19,55).
As given the equations in the question
y = –3x – 2
Simplify the above
y + 3x = -2
5x + 2y = 15
Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.
2y - 2y + 5x -6x = 15 + 4
-x = 19
x = -19
Putting the value of x in the equation y + 3x = -2.
y + 3 × - 19 = -2
y - 57 = -2
y = -2 + 57
y = 55
Therefore the solution for a system of equations is (-19,55).
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Use the table showing the number of visitors to the art museum each month
A. What is the mean of the data?
B. what is the median
of the data?
C. what is the mode of the data?
Answers
Answer:
The answer is C
Step-by-step explanation:
Cause the visitors to the Act got more data
The number of ways of arranging all trials to be failures in a binomial distribution is:?
Answers
In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.
1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.
2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.
3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.
Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).
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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.
Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.
The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1
For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.
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Whoever answers right first gets brainliest. :)
A file that is megabytes is being downloaded. If the download is complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answers
Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?
What must be true if \(\frac{x}{y}\) / \(\frac{3a}{b} =\frac{3a}{b}\)? Assume a\(\neq\)0, b\(\neq\)0, and y\(\neq\)0.
![What must be true if [tex]\frac{x}{y}[/tex] / [tex]\frac{3a}{b} =\frac{3a}{b}[/tex]? Assume a[tex]\neq[/tex]0,](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/Fq8fX7onLNegwfqnfncjr4sRnfVuB9PW.png)
Answers
Answer:
4th option is correct
Step-by-step explanation:
![What must be true if [tex]\frac{x}{y}[/tex] / [tex]\frac{3a}{b} =\frac{3a}{b}[/tex]? Assume a[tex]\neq[/tex]0,](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/hF7UMSs0TFCJLbF9BYaOmFH2YGnSlZd2.jpeg)
A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.
Answers
Answer:
what are you asking, I need more information.
given the graph of the function f(x)=1/x2 write the equation g(x)
horizontal compression by 1/5
vertical stretch by a factor of 7
reflection in y-axis
translation 10 units left and 1 unit down
Answers
Answer:g(x)
Step-by-step explanation:1/5 g (x)
Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)
B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)
C.) Describe the end behavior of this function (2 points)
D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.
Answers
A. The y-intercept is at the point (0, 0).
B. The zeros are x = 0 or x = ±√5
C.
How to solve the expressionA) The y-intercept of this graph is the point where x = 0.
When x = 0, the value of y
= 0^4 - 5*0^2
= 0.
Therefore, the y-intercept is at the point (0, 0).
B) The x-intercepts/roots of the function are the values of x that make y = 0.
To find these values, we need to set y = 0 and solve for x:
x⁴ - 5x² = 0
x⁴ = 5x²
x² = x⁴/5
x = ±√(x⁴/5)
We can simplify this expression by factoring x² out of both sides:
x²(x² - 5) = 0
x² = 0 or x² - 5 = 0
x = 0 or x = ±√5
hence the x-intercepts are at x = 0 and x = ±√5.
C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.
x → ∞ f(x) → ∞
x → -∞ f(x) → -∞
D) The graph is attached
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please help me answer the question in the picture
Answers
Now use formula: y-y1 = m(x-x1)
Plug in point (4, -1) and new slope
Solution: y+1 = -1/3(x-4)
The answer is C
The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability that 2 or fewer will be stolen?
Answers
Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successese = 2.71828 is the Euler number\(\mu\) is the mean in the given interval.The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:
\(\mu = 3500 \times 0.0004 = 1.4\)
The probability that 2 or fewer cars will be stolen is:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)
In which:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)
\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)
\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)
Then:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)
0.8335 = 83.35% probability that 2 or fewer will be stolen.
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Please answer this question
Answers
Answer:
75%
Step-by-step explanation:
Madison got 18 problems right and there's 24 problems in total. The question asks for the percentage of the problems that she answered correctly. So, put the number of questions that she got right and the total number of questions into a fraction and simplify.
18/24=3/4
3/4ths= 75%
HELP ME PLS 20 POINTS!!
Answers
If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest
A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL
Answers
JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.
How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.To learn more about smallest angle refer to:
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factor x^2-3x-28 using the x method
Answers
Answer:
\( {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)\)
2. On vacation, Katelyn wanted to have her hair braided in multiple braids to cover her head. The beautician charges a flat rate of $4, plus $0.75 per braid. She's saved $29 to get braids. How many braids can she get?
Answers
subtract 4
25 = .75b
divide .75
b = 33.3333333
b = 33 braids
Answer:
33 braids
Step-by-step explanation:
What you want to do is first put in the equation. You put in 0.75x + 4=29.
Then you subtract 4 from 29 and get 25. Then divide 25 by 0.75 and you get the answer 33.3333333333. Round it to the nearest whole number and you get the final answer of 33 braids.
14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth
Answers
Answer:
I'm an island boii ️️
there total of $135$ seats, $118$ front handlebars and $269$ wheels in a wheel shop. a bicycle has $1$ seat, $1$ front handlebar, and $2$ wheels. a tricycle has $1$ seat, $1$ front handlebar, and $3$ wheels. a tandem bike has $1$ handlebar, $2$ seats, and $2$ wheels. how many bicycles, tandem bicycles, and tricycles are there in the wheel shop?
Answers
The wheel shop has 43 bicycles, 40 tricycles, and 32 tandem bicycles in total.
Let's assume the number of bicycles in the shop is "b," the number of tricycles is "t," and the number of tandem bicycles is "d."
Based on the given information, the number of seats can be expressed as: 1b + 1t + 2d = 135. Similarly, the number of front handlebars can be expressed as: 1b + 1t + 1d = 118. Additionally, the number of wheels can be expressed as: 2b + 3t + 2d = 269.
We can solve this system of equations to find the values of b, t, and d. However, instead of providing the detailed calculations, we can solve the system using an algebraic tool.
Solving the system of equations, we find that there are 43 bicycles, 40 tricycles, and 32 tandem bicycles in the wheel shop.
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Ten years after 850 high school seniors graduated ,400 had a college degree and 310 were married. Half of the students with a college degree were married. What is the probability that a student does not have a college degree
Answers
0.529 is the probability that a student does not have a college degree.
From the information given, we know that:
P(B) = 310/850P(A and B) = P(B) - P(college degree and B)P(college degree and B) = P(B|college degree) * P(college degree)P(B|college degree) = 1/2 (since half of the college graduates are married)P(college degree) = 400/850The formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).
Using these values, we can calculate:
P(college degree and B) = (1/2) * (400/850) = 0.235
P(A and B) = 310/850 - 0.235 = 0.07
Finally, we can calculate P(A) using the formula for total probability:
P(A) = 1 - P(college degree)
= 1 - (400/850)
= 0.529
Therefore, the probability that a student does not have a college degree is 0.529.
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