The equation y = \large 1\frac{1}{2}x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether each point would be on the graph of this proportional relationship. Choose true or false for each point
Answers
Answer:
\((1\frac{1}{2},1)\) - False
\((4,6)\) - True
\((18,12)\) -- False
\((0,0)\) -- True
\((2\frac{1}{2},3\frac{3}{4})\) -- True
Step-by-step explanation:
The points are
\((1\frac{1}{2},1)\) , \((4,6)\), \((18,12)\), \((0,0)\) and \((2\frac{1}{2},3\frac{3}{4})\) ---- missing from the question
Given
\(y = 1\frac{1}{2}x\)
Required
Determine if each of the points would be on \(y = 1\frac{1}{2}x\)
To do this, we simply substitute the value of x and of each point in \(y = 1\frac{1}{2}x\).
(a) \((1\frac{1}{2},1)\)
In this case;
\(x = 1\frac{1}{2}\) and \(y = 1\)
\(y = 1\frac{1}{2}x\) becomes
\(y = 1\frac{1}{2} * 1\frac{1}{2}\)
\(y = \frac{3}{2} * \frac{3}{2}\)
\(y = \frac{9}{4}\)
\(y = 2\frac{1}{4}\)
The point \((1\frac{1}{2},1)\) won't be on the graph because the corresponding value of y for \(x = 1\frac{1}{2}\) is \(y = 2\frac{1}{4}\)
(b) \((4,6)\)
In this case;
\(x = 4\)
\(y = 6\)
\(y = 1\frac{1}{2}x\) becomes
\(y = 1\frac{1}{2} * 4\)
\(y = \frac{3}{2} * 4\)
\(y = \frac{3* 4}{2}\)
\(y = \frac{12}{2}\)
\(y = 6\)
The point \((4,6)\) would be on the graph because the corresponding value of y for \(x = 4\) is \(y = 6\)
(c) \((18,12)\)
In this case:
\(x = 18;y = 12\)
\(y = 1\frac{1}{2}x\) becomes
\(y = 1\frac{1}{2} * 18\)
\(y = \frac{3}{2} * 18\)
\(y = \frac{3* 18}{2}\)
\(y = \frac{54}{2}\)
\(y = 27\)
The point \((18,12)\) wouldn't be on the graph because the corresponding value of y for \(x = 18\) is \(y = 12\)
(d) \((0,0)\)
In this case;
\(x =0; y = 0\)
\(y = 1\frac{1}{2}x\) becomes
\(y = 1\frac{1}{2} * 0\)
\(y = 0\)
The point \((0,0)\) would be on the graph because the corresponding value of y for \(x = 0\) is \(y = 0\)
(e) \((2\frac{1}{2},3\frac{3}{4})\)
In this case:
\(x = 2\frac{1}{2}\); \(y = 3\frac{3}{4}\)
\(y = 1\frac{1}{2}x\) becomes
\(y = 1\frac{1}{2} * 2\frac{1}{2}\)
\(y = \frac{3}{2} * \frac{5}{2}\)
\(y = \frac{15}{4}\)
\(y = 3\frac{3}{4}\)
The point \((2\frac{1}{2},3\frac{3}{4})\) would be on the graph because the corresponding value of y for \(x = 2\frac{1}{2}\) is \(y = 3\frac{3}{4}\)
Related Questions
Miranda has a teal ribbon that is 1 1/2 inches long. Miranda cuts the ribbon into 9 equal pieces. How long is each piece of ribbon?
Answers
Answer:
1/6
Step-by-step explanation:
We can make 1 1/2=3/2. Then, we do 3/2 divided by 9 which would be 3/2x1/9=3/18. 3/18=1/6.
evaluate each integral by interpreting it in terms of areas. (a) 8 0 f(x) dx (b) 20 0 f(x) dx (c) 28 20 f(x) dx (d) 28 12 f(x) dx (e) 28 12 |f(x)| dx (f) 0 8 f(x) dx
Answers
To evaluate each integral in terms of areas, we need to understand that the integral represents the area under the curve of a function, f(x), between two points on the x-axis.
Let's discuss each integral:
(a) ∫₀⁸ f(x) dx: This represents the area under the curve of f(x) from x = 0 to x = 8. The integral calculates the accumulated area along this interval.
(b) ∫₀²⁰ f(x) dx: Similarly, this represents the area under the curve of f(x) from x = 0 to x = 20. It's a broader interval than (a), so it covers more area under the curve.
(c) ∫²⁰²⁸ f(x) dx: This integral represents the area under the curve of f(x) between x = 20 and x = 28. It's important to note that the interval is now shifted to the right compared to (a) and (b).
(d) ∫¹²²⁸ f(x) dx: This integral calculates the area under the curve of f(x) from x = 12 to x = 28. The interval here is larger than in (c), covering more area under the curve.
(e) ∫¹²²⁸ |f(x)| dx: This integral evaluates the area under the absolute value of f(x) from x = 12 to x = 28. The absolute value ensures that negative function values contribute positively to the area calculation, preventing any cancelation of areas.
(f) ∫₀⁸ f(x) dx: This integral is the same as (a), representing the area under the curve of f(x) from x = 0 to x = 8.
Each integral evaluates the area under the curve of f(x) for different intervals on the x-axis, providing insights into the total accumulated area in those intervals.
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find the area of the segment
Answers
Answer:
Step-by-step explanation:
radius = 32 inches
angle = 60 degrees
Area of segment = 1/2 (60-sin(60)) *(32)^2 = 1/2 (60 - sqrt(3)/2) *(1024) = 598 sq inches
a. Define an Indifference Curve (IC). b. If Michael has 50 GHS of non-labor income per week, and he faces a market wage rate of 5 GHS per hour, and has 110 hours of non-sleeping hours’ time to allocate between work and leisure activities (assuming she sleeps roughly 8 hours per day). i. Write down the budget equation for Michael. ii. Graph Michael’s budget line. If Michael’s income effect dominates his substitution effect, with the aid of a diagram describe what will happen to his hours of work when his wage increases, holding non-labor income constant.
Answers
a) An indifference curve represents different combinations of goods or activities that provide the same level of satisfaction to an individual. It shows the trade-off between two goods or activities.
An indifference curve is a graphical representation of various combinations of two goods or activities that yield the same level of satisfaction to an individual. Each point on the curve represents a specific combination where the individual is indifferent between them. Indifference curves are typically downward sloping and convex to the origin, reflecting the principle of diminishing marginal rate of substitution.
b) Michael's budget equation can be written as the sum of his non-labor income and his earnings from work, considering the market wage rate and the hours of work.
Michael's budget equation is given by the sum of his non-labor income (50 GHS per week) and his earnings from work. Assuming he works h hours per week at a wage rate of 5 GHS per hour, the budget equation can be expressed as: Non-labor income + (Wage rate × hours of work) = Total budget. Substituting the given values, we have: 50 + (5 × h) = Total budget.
ii. Summary: Michael's budget line represents the different combinations of work and leisure activities he can afford given his budget constraint. When the income effect dominates the substitution effect, an increase in wage rate leads to an overall increase in his hours of work.
Explanation: The budget line is graphed with leisure (in hours) on the horizontal axis and work (in hours) on the vertical axis. The slope of the budget line is determined by the wage rate, where a wage rate of 5 GHS per hour would result in a slope of -5. The intercept on the leisure axis represents the non-sleeping hours available to Michael (110 hours). When the income effect dominates the substitution effect, an increase in the wage rate leads to a steeper budget line, indicating that Michael chooses to allocate more hours to work and fewer hours to leisure.
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A farmer's conveyor belt carries bales of hay from the ground to the barn loft. The conveyor belt moves at 100 ft/min.
Q1:How many Second does it take for a bale of hay to go from the ground to the barn loft?
Q2:Which part of a right triangle does the conveyor belt represent?
Q3:You know the speed. What other information do you need to find time?
Q4:How are minutes and seconds related?
Answers
Answer for the conveyer belt moves at 100ft/min from bales of hay to barn loft is given by :
1. Seconds taken by conveyer belt is 60 seconds.
2. Hypotenuse represents the conveyer belt in right triangle.
3. Distance is other information to calculate time.
4. 1 minute = 60 seconds.
Rate at which conveyer belts moves = 100ft/min
⇒1 minute = 100ft
⇒60seconds = 100 ft
1. Seconds taken by bale of hay to move from ground to barn loft is 60 seconds.
2. Conveyer felt represent the hypotenuse of the right triangle.
Feet represents the height , and minutes (time) represents the base.
3. Speed is given to us , to calculate time we should have distance.
4. Relation between minutes and seconds is given by:
1 minute = 60 seconds.
Therefore, for the given conveyer belt moves with 100ft/min answer of the following question are:
1. Seconds taken by moving bale of hay to barn loft is 60 seconds.
2. Conveyer belt represent hypotenuse.
3. To calculate time we need distance apart from speed.
4. One minute is equal to sixty seconds.
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Chen is opening a new account with a $1,200 deposit. She will be keeping money in the account, compounded monthly for no more than 3 years. the formula gives the value, V, of the account as a function of time, t. Which is a reasonable domain of this function?
V(t)= 1,200(1 + 0.02)^t/12
A) 0< or equal to t < or equal to 36
B) 0
Answers
Answer:just put it in a calculator dawg
Step-by-step explanation:lol
to use a normal distribution to approximate binomial probabilities, why do we require that both np and n(1 - p) be at least 10?
Answers
We require both to ascertain whether the findings are independent, this criterion is applied.
What is Binomial distribution?Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous. The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.
As per the given information in the question,
The normal distribution can be used to approximate the binomial distribution. The situation when performing a normal approximation is as follows:
np ≥ 10 and,
np(1 - p) ≥ 10
This criterion is used to determine whether the results are independent.
We are aware that when n and p are combined, the results are independent.
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a farmer can buy two types of plant​ food, mix a and mix b. each cubic yard of mix a contains pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. each cubic yard of mix b contains pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. the minimum monthly requirements are pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. if mix a costs ​$ per cubic yard and mix b costs ​$ per cubic​ yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum​ cost? what is this​ cost?
Answers
To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.
For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required
For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required
For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required
We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.
Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.
1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.
The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.
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Write the equation of a line with a point at `(-3,2)` and has a slope of `\frac{1}{2}`.
Answers
Answer:
y = (1/2)x + 7/2
Step-by-step explanation:
y = ax + b (general form of a linear function)
a = 1/2 (slope)
y = (1/2)x + b
(-3, 2) is on the line, 2 = (1/2)*(-3) + b
2 = -3/2 + b
b = 2 + 3/2
b = 7/2
equation: y = (1/2)x + 7/2
PLS HELP ITS DUE NOW
Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 14 blue and 6 green beads. Based on these results, what is most likely the number of blue beads in the bag?
15
20
30
35
Answers
Answer:
35
Step-by-step explanation:
Determine the seating capacity of an auditorium with 10 rows of seats if there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third row, 27 seats in the fourth row, and so on. Total number of seats =
Answers
Answer:
94 capacity
Step-by-step explanation:I did math
what percentage of total was spent playing football
Answers
don’t get this question , need some help thankssss
Answers
Answer:
PQ = 37 Km
Step-by-step explanation:
let PQ = x , then
PR = x + 15 and QR = 3(x + 15) = 3x + 45
sum the parts and equate to 245
x + x + 15 + 3x + 45 = 245 , that is
5x + 60 = 245 ( subtract 60 from both sides )
5x = 185 ( divide both sides by 5 )
x = 37
then
PQ = x = 37 Km
What are 3 numbers that when round to 54.5 when rounded to nearest tenth are rounded to 54.5
Answers
The required 3 numbers that when rounds to give 54.5 are 54.49, 54.48, and 54.47.
Given that,
3 numbers that when rounded to 54.5 when rounded to the nearest tenth are rounded to 54.5.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
The required number is given as, the last three numbers which is tending to number 54.5, that is 54.49, 54.48, and 54.47.
Thus, the required 3 numbers that when rounds to give 54.5 are 54.49, 54.48, and 54.47.
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According to a book published in 2011, 45% of the undergraduate students in the United States show almost no in learning in their first 2 years of college (Richard Arum et al., Academically Adrift, University of Chicago Press, Chicago, 2011). A recent sample of 1500 undergraduate students showed that this percentage is 38%. Can you reject the null hypothesis at a 1% significance level in favor of the alternative that the percentage of undergraduate students in the United States who show almost no gain in learning in their first 2 years of college is currently lower than 45%? Use both the p-value and the critical-value approaches.
Answers
The percentage of undergraduate students who show almost no gain in learning in their first 2 years of college in the United States is a sample proportion with a null hypothesis (H0) and an alternate hypothesis (Ha) that we want to check. In this question, we are supposed to test whether we can reject H0 at a 1% significance level or not.
Step 1: Identify the Null Hypothesis and Alternate Hypothesis Let P be the population proportion of students who show no gain in learning in their first 2 years of college in the United States.H0: P = 0.45Ha: P < 0.45Step 2: Check for Independence and Sample Size Conditions We don't have any information on independence; however, we assume that the sample was randomly selected. Hence, the independence condition is met. Step 3: Calculate the Test StatisticUnder the null hypothesis, the sample proportion (p) is approximately equal to 0.45. We can use this fact to calculate the test statistic.Using the p-value approach: Z = (p - P) / sqrt(PQ/n)Z = (0.38 - 0.45) / sqrt(0.45*0.55/1500)Z = -5.39Using the critical value approach:Critical value = Zα, where α = 0.01Critical value = -2.33Step 4: Find the p-valueThe p-value is the probability of observing a test statistic at least as extreme as the one calculated in step 3 if the null hypothesis is true.Using a calculator, the p-value for Z = -5.39 is less than 0.0001 (approximately zero).
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A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.
12.65
Answers
Answer:
12.6 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be height up the side of the building , then
h² + 6² = 14²
h² + 36 = 196 ( subtract 36 from both sides )
h² = 160 ( take the square root of both sides )
h = \(\sqrt{160}\) ≈ 12.6 ft ( to the nearest tenth )
There are 5 buses for every 240 students going on a field trip. What is the maximum amount of students allowed if there are only three buses
Answers
Answer:
I think its 720 correct me if I'm wrong
Answer: 144
Step-by-step explanation: 240 divided by 5=48 48x3=144
Please help!!!!!!!!!!!!
Answers
Answer:
its d
Step-by-step explanation
you multiply 3 x 3.14 and see if its greater
A registered golden retriever has a litter of 11 puppies. Assume that the probability of a puppy being male is 0.5. What is the probability at least 7 of the puppies will be male?
Answers
The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.
To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.
P(X ≥ k) = 1 - P(X < k)
where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.
We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.
P(X=k) = nCk * pk * (1-p)n-k
where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:
P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)
P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125
P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375
P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438
P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875
P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375
P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125
P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875
P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805
Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.
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Find the point P where the line x=1+t, y=2t, z=-3t intersects the plane x+y+z=2
Answers
The point of intersection between the line and the plane is P = (2, 2, -3).
Now, For the point of intersection between the line and the plane, we need to substitute the line equations into the plane equation and solve for t.
That is, we need to solve:
(1+t) + 2t + (-3t) = 2
Simplifying this equation, we get:
t = 1
Now that we have the value of t, we can substitute it back into the line equations to find the point of intersection.
That is, we need to evaluate:
P = (1+t, 2t, -3t)
So, at t = 1
Substituting t = 1, we get:
P = (1+1, 2(1), -3(1)) = (2, 2, -3)
Therefore, the point of intersection between the line and the plane is,
P = (2, 2, -3).
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Find the slope for -8y=2x+5
Answers
Answer:
-1/4
Step-by-step explanation:
in y=mx+b, m represents the slope. Let's try to get your equation to look like that. We can see that on the left side, the y is not yet alone so we must try to accomplish that. to do that we divide by -8 from the -8y, but we must also do that to the other side. you would get y=-2/8x-5/8. then we would simplify the -2/8x into -1/4x. Now it is y=-1/4x-5/8 and that resembles y=mx+b. m is slope and -1/4 is m.
in 2016, humans produced 29 billion tonnes of carbon dioxide. this is set to grow by around 40% by the year 2035. how many tonnes of carbon dioxide will be produced by humans in 2035? give your answer in standard form
will give the answers brainliest
Answers
Answer:
29000000000*140% = 40600000000
=40.6 billion
Step-by-step explanation:
right!!!
Write 56% as a fraction in simplest form.
Answers
Answer:
\(\frac{14}{25}\)
Step-by-step explanation:
per cent means 'out of 100 ' , then
56%
= \(\frac{56}{100}\) ( divide numerator/ denominator by 4 )
= \(\frac{14}{25}\) ← in simplest form
Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2x – 4, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
Answers
1. f(x) - cubic function -- polynomial , g(x) - linear function
similar
domain all real numbers (?)range is all real number, end behavior is the sameThe function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 4
x - intercepts = -2.68
Function g(x)
Domain: x > 0
Range: -4 < y < ∞
y - intercept = -4
x - intercepts = none
By comparing the key features above, we can conclude that the common features in both functions are their range
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The following table displays the joint probability distribution between the number of PCs x and the number of children in a family in a city Y 0 1 2 1 0.15 0.20 0.15 X 2 0.10 0.15 0.25 a) Find the expected number of children E(Y Find the expected number of PCs E(X Find the variance of Y. Find the variance of x. (2 marks) (2marks) (3marks) (3 marks) 5 marks [15marks] b) c) d) e) Find the covariance of X and Y.Interpret this.
Answers
E(Y) = 0.3, E(X) = 0.65, Var(Y) = 0.51, Var(X) = 0.6825, Cov(X,Y) = -0.2275, indicating an inverse relationship between the number of PCs and the number of children in the city.
a) The expected number of children E(Y) can be found by multiplying each value of Y by its corresponding probability and summing the results. E(Y) = 0*(0.15) + 1*(0.20) + 2*(0.15) = 0.3.
The expected number of PCs E(X) can be calculated similarly. E(X) = 0*(0.10) + 1*(0.15) + 2*(0.25) = 0.65.
The variance of Y can be determined by calculating the squared deviation of each value of Y from its expected value, multiplying it by the corresponding probability, and summing the results. Var(Y) = (0-0.3)^2*(0.15) + (1-0.3)^2*(0.20) + (2-0.3)^2*(0.15) = 0.51.
The variance of X can be computed in a similar manner. Var(X) = (0-0.65)^2*(0.10) + (1-0.65)^2*(0.15) + (2-0.65)^2*(0.25) = 0.6825.
b) The covariance of X and Y can be found by multiplying the deviation of each value of X from its expected value by the deviation of the corresponding value of Y from its expected value, multiplying it by the joint probability, and summing the results. Cov(X,Y) = (0-0.65)(0-0.3)(0.10) + (1-0.65)(0-0.3)(0.15) + (2-0.65)(0-0.3)(0.25) = -0.2275.
The covariance measures the relationship between X and Y. In this case, a negative covariance suggests an inverse relationship between the number of PCs and the number of children in a family in the city. As the number of PCs increases, the number of children tends to decrease, and vice versa.
Note: The calculations and interpretations provided above are based on the information given in the problem statement.
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You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)
Answers
a). The difference between the two population means is estimated at a location to be 2.7.
b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.
c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).
d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
What is standard deviations?The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.
Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample
\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).
With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.
We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).
The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the
average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).
Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).
The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).
As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
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Consider the following model:
yhat =2.1+1.0x²
The prediction of y is yhat. What is the estimated marginal effect of x on y when x=1.3?
________
Using the following model and corresponding parameter estimates, predict the (approximate) value of y variable when x=2 :
lny=β₁+β₂x²+u
The parameter estimates are β₁=2 and β₂=1 [Parameter estimates are given in bold font]
a. 2
b. 403.4
c. 103,4
d. 6
Answers
The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.
For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.
Now, substitute x = 1.3 into the derivative:
2.0(1.3) = 2.6.
Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.
For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates
β₁ = 2 and
β₂ = 1.
To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u
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in graphing what would be x and y? 0.2(1)=0.5(1-6)
Answers
In graphing x is the value on the x axis and y is the values that represent values on y axis.
Given nothing but we are required to tell what x symbolises and y symbolises in graphing.
A graph is basically a common data structure that consists of a finite set of nodes and a set of edges connecting them.
There are coordinates which are written as (x,y) where x symbolises the values on x axis and y represents the values on y axis.
Suppose the coordinate is (2,3). In this we have to plot a point equal to x=2 and then a point equal to 3.Now take one line from both the points straight and the point where they meet will be (2,3).
Hence in graphing x is the value on the x axis and y is the values that represent values on y axis.
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an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. he believes that the mean income is $33.9 , and the standard deviation is known to be $9.2 . how large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.55 ? round your answer up to the next integer.
Answers
The economist would need a sample size of at least 22 to estimate the mean per capita income with an 80% confidence level and an error of at most $0.55.
In order to determine the required sample size, we need to use the formula for sample size calculation in estimating the population mean. The formula is given by:
n = (Z * σ / E)^2
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of approximately 1.28)
σ = standard deviation of the population (known to be $9.2)
E = maximum allowable error ($0.55)
Substituting the given values into the formula:
n = (1.28 * 9.2 / 0.55)^2
n = (11.776 / 0.55)^2
n = 21.41^2
Since the sample size must be a whole number, we round up to the next integer:
n = 22
Therefore, the economist would need a sample size of at least 22 to estimate the mean per capita income with an 80% confidence level and an error of at most $0.55.
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The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(12x)2. To graph a parabola, first plot the vertex then plot another point on the parabola.
Answers
Answer:
Pease check my assumptions.
Step-by-step explanation:
I will assume that f(x)=x2 is actually f(x) = x^2.
Same for g(x)=(12x)^2 [Is it g(x)=12x^2 ???]
See the attached image.
Note that (12x)^2 results in a narrower, steeper graph. That's because (12x)^2 can be rewritten as 144x^2, so every value is multiplied by 144, compared to just x^2.
