Suppose Shia has the utility function U(x 1
,x 2
)=6x 1
+(1/2)x 2
. a) Which of the following bundles, (x 1
,x 2
), do they rank the lowest?: (4,4),(4,2),(2,4), (8,4)(5,4) [PLEASE ENTER YOUR ANSWER AS "(#,\#)"] b) Suppose Shia had income of $150, faced prices of (x 1
,x 2
) which equaled p 1
=10 and p 2
=25, and had to pick among the five bundles in part (a). Which bundle would they pick? [PLEASE ENTER YOUR ANSWER AS "(#,\#)"]
Shia ranks the bundle (2,4) the lowest with a utility of 14.Given their income and prices, Shia would pick the bundle (4,2) as it maximizes their utility within their budget.
a) To determine the bundle that Shia ranks the lowest, we can calculate the utility for each bundle using the given utility function and compare the results.
Utility for each bundle:
U(4,4) = 6(4) + (1/2)(4) = 24 + 2 = 26
U(4,2) = 6(4) + (1/2)(2) = 24 + 1 = 25
U(2,4) = 6(2) + (1/2)(4) = 12 + 2 = 14
U(8,4) = 6(8) + (1/2)(4) = 48 + 2 = 50
U(5,4) = 6(5) + (1/2)(4) = 30 + 2 = 32
The bundle that Shia ranks the lowest is (2,4) with a utility of 14.
To determine the bundle Shia would pick given their income and prices, we need to calculate the expenditure for each bundle and find the bundle that maximizes their utility while staying within their budget.
Expenditure for each bundle:
Expenditure(4,4) = p1 * 4 + p2 * 4 = 10 * 4 + 25 * 4 = 160
Expenditure(4,2) = p1 * 4 + p2 * 2 = 10 * 4 + 25 * 2 = 90
Expenditure(2,4) = p1 * 2 + p2 * 4 = 10 * 2 + 25 * 4 = 120
Expenditure(8,4) = p1 * 8 + p2 * 4 = 10 * 8 + 25 * 4 = 200
Expenditure(5,4) = p1 * 5 + p2 * 4 = 10 * 5 + 25 * 4 = 165
Since Shia's income is $150, the bundle that Shia would pick is the one with the highest utility among the bundles that they can afford. In this case, Shia can afford the bundle (4,2) with an expenditure of $90, which is within their budget.
Therefore, Shia would pick the bundle (4,2).
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similar right triangles plss helpp
Answer:
your añswer is c) I hope it helps!
Answer:
C
Step-by-step explanation:
Practice representing linear relationships in multiple ways wit
representation you're given to help you fill in the others.
[VERBAL DESCRIPTION]
A baby giraffe measures 6 feet tall when it is
born, and it grows an average of foot each
2
month.
[TABLE]
у
I need a response ASAP please help
Arie's pet shop is selling geckos at 12 and a half percent off! if geckos were originally $20 each, what is the sale price?
DIscount = 121/2 % 0ff
\(\begin{gathered} \text{Sales price = 12}\frac{1}{2}\text{ }\times\text{ 20} \\ \text{ =}\frac{\frac{25}{2}}{100}\text{ }\times20\text{ } \\ \text{ } \\ \text{ =}\frac{25}{200}\text{ }\times20\text{ = }\frac{500}{200}\text{ = \$2.5} \end{gathered}\)I WANT THE ANSWER ASAP PLEASE
Answer:
\( \sqrt{d} = t \: \times \sqrt{4.9} \)
\(t = 8.82\)
squaring both the sides we get
d = t² * 4.9
d = (8.82)² * 4.9
d = 77.8 * 4.9
d = 381.1
example of descrpitive statistics variability and central tendency
Descriptive statistics is a branch of statistics that deals with the summary of data using numerical and graphical methods. Descriptive statistics is used to calculate different measures of central tendency, variability, and correlation.
Central tendency is the tendency of data to cluster around a central value, which can be found using measures like mean, median, and mode. On the other hand, variability is the extent to which the data varies from the central tendency and can be calculated using measures such as variance, standard deviation, and range.An example of central tendency can be a dataset of the ages of students in a classroom. The mean, median and mode are measures of central tendency that can be used to summarize the data.
The standard deviation is the square root of the variance and represents the average distance of the data points from the mean.In summary, central tendency and variability are two important aspects of descriptive statistics used to summarize data. While central tendency measures the center of a dataset, variability measures the spread of the data. Descriptive statistics is used to provide insights into a dataset by providing a summary of the data using numerical and graphical methods.
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Yuri has a rope 12 meters long. He cuts it into pieces that are each 2 meters long. What fraction of the rope is one piece?
Answer:
2/12
Step-by-step explanation:
Answer:
LENGTH OF PIECE/ LENGTH OF ROPE
2/12
I'm simplest form
1/6
answer is 1/6
What colour is the apple ?
Help I have a mats test
Answer: Red
Step-by-step explanation: Apples are red..
Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
Write a differential equation for the balance B in an investment fund with time, t, measured in years.
The balance is earning interest at a continuous rate of 5% per year, and payments are being made out of the fund at a continuous rate of $11,000 per year.
A) dB/dt=?
The differential equation for the balance B in an investment fund with time, t, measured in years A) dB/dt= 0.05B - 11,000.
To write a differential equation for the balance B in an investment fund with time, t, measured in years, we can use the following information:
- The balance is earning interest at a continuous rate of 5% per year
- Payments are being made out of the fund at a continuous rate of $11,000 per year
Let's start by considering the interest earned on the balance. At a continuous rate of 5% per year, the interest earned can be expressed as 0.05B (where B is the balance). This represents the rate of change of the balance due to interest.
Now let's consider the payments being made out of the fund. At a continuous rate of $11,000 per year, the payments can be expressed as a constant rate of change of -11,000.
Putting these two rates of change together, we can write the differential equation for the balance B as:
dB/dt = 0.05B - 11,000
This equation represents the balance B as a function of time t, with the rate of change of B being equal to the interest earned (0.05B) minus the payments being made (-11,000) at any given time t.
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The differential equation for the balance B in an investment fund with time, t, measured in years A) dB/dt= 0.05B - 11,000.
To write a differential equation for the balance B in an investment fund with time, t, measured in years, we can use the following information:
- The balance is earning interest at a continuous rate of 5% per year
- Payments are being made out of the fund at a continuous rate of $11,000 per year
Let's start by considering the interest earned on the balance. At a continuous rate of 5% per year, the interest earned can be expressed as 0.05B (where B is the balance). This represents the rate of change of the balance due to interest.
Now let's consider the payments being made out of the fund. At a continuous rate of $11,000 per year, the payments can be expressed as a constant rate of change of -11,000.
Putting these two rates of change together, we can write the differential equation for the balance B as:
dB/dt = 0.05B - 11,000
This equation represents the balance B as a function of time t, with the rate of change of B being equal to the interest earned (0.05B) minus the payments being made (-11,000) at any given time t.
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two sets are formed using 100 elements. there are 67 elements in one set and 72 in the other. how many elements are in the intersection of the two sets?
There are 39 elements in the intersection of the two sets.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Union: -
If set A and set B are two sets, then A union B is the set that contains all the elements of set A and set B. It is denoted as A ∪ B.
Example: Set A = {1,2,3} and B = {4,5,6}, then A union B is:
A ∪ B = {1,2,3,4,5,6}
Intersection:-
If set A and set B are two sets, then A intersection B is the set that contains only the common elements between set A and set B. It is denoted as A ∩ B.
Example: Set A = {1,2,3} and B = {4,5,6}, then A intersection B is:
A ∩ B = { } or Ø
Since A and B do not have any elements in common, so their intersection will give null set.
P(AUB) = P(A) + P(B) - P(A∩B)
Here, P (A) = the number of elements in the set A and so on.
We know that:
P (A)= 67
P (B)= 72
and P (AUB) = 100
So, we can solve for the number in the intersection i.e. P(A∩B) = P(A) + P(B) - P(AUB)
P(A∩B) = 67 + 72 - 100
P(A∩B) = 139 - 100
P(A∩B) = 39.
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how many hours can cold food be held without refrigeration before it must be sold, served, or thrown out?
In time-series data, _____ are regularly repeating upward or downward movements in series values that can be tied to recurring events.
A) seasonal variations
B) seasonal relatives
C) naive variations
D) exponential relatives
In time-series data, the seasonal variations are regularly repeating upward or downward movements in series values that can be tied to recurring events. The correct answer is A.
These variations occur due to systematic changes in the data that are linked to specific seasons, periods, or cycles.
Seasonal variations reflect the influence of factors such as weather, holidays, or business cycles that occur in a repetitive pattern over time. By identifying and understanding these seasonal patterns, analysts can gain insights into the underlying dynamics of the data and make informed predictions or decisions.
Options A) seasonal variations accurately describes this concept, as it specifically refers to the recurring patterns observed in time-series data. Options B) seasonal relatives, C) naive variations, and D) exponential relatives are not commonly used terms in the context of seasonal patterns in time-series data.
Therefore, the correct answer is A) seasonal variations.
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Change the Cartesian integral
Integral from nothing to nothing Subscript 0 Superscript 3 Baseline Integral from nothing to nothing Subscript 0 Superscript y Baseline x dx dy∫30∫y0x dx dy
into an equivalent polar integral. Then evaluate the polar integral.Change the Cartesian integral SSX x dx dy into an equivalent polar integral. Then evaluate the polar integral. Choose the correct equivalent polar integral below. O A. sin e 2 cose dr de OB. sin So r2 cose dr de 1/4 Sza So ? So O c. 3/ sin e OD. c/2 3/ sine so So ? ? cos e dr de ? cose dr de The value of the double integral is
The value of the double integral is \(I = \int\limits^{\pi/2}_{\pi/4} \int\limits^{3/sin0}_{r=0} r^{2}cos0drd0\).
Let z* be the common (finite) optimal value of P and D.
Given integral is
\(I = \int\limits^3_{y = 0} \int\limits^y_{x=0} {x} \, dxdy\)
The region of integration lies between
y = 0, y = 3, x = 0 & x = y
Let x = rcosθ, y = rsinθ,
\(x^{2} +y^{2}= r^{2}\)
At y = 3, rsinθ = 3
Thus r varies from 0 to 3/sinθ
θ varies from π/4 to π/2
Now, dxdy ----> rdrdθ
Therefore,
\(I = \int\limits^{\pi/2}_{\pi/4} \int\limits^{3/sin0}_{r=0} r^{2}cos0drd0\)
Hence the answer is The value of the double integral is \(I = \int\limits^{\pi/2}_{\pi/4} \int\limits^{3/sin0}_{r=0} r^{2}cos0drd0\).
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which of the following graphs could be the graph of g (x)= (x+1) (x-2) (x+5)
D
1) Taking the function g(x)= (x+1) (x-2) (x+5), as we can see this a 3rd degree ploynomial
g (x)= (x+1) (x-2) (x+5)
g(x) =x³+4x²-7x-10
As the coefficient is positive, then we'll have
Examining the options, we have as the roots S={-5,-1,2} So the answer is D
Given two events, a and b, with probabilities p(a) = 0.40 and p(b) = 0.20, calculate the indicated probabilities given the additional piece of information
Answer:
0.60
Step-by-step explanation:
becouse of two probability within added gives the above answer
Find the vertex and axis of symmetry of the graph of the function. 6) f(x) = 3x2 - 30x F) (-5, -75); x = -5 G) (-5, 0); x = -5 H) (5,0); x = 5 D (5.-75); x = 5
If I have to add 1 tablespoon of plant food per gallon of water, how much plant food would I need to add to 1 cup of water.
You would need to add 16 tablespoons of plant food to 1 cup of water based on the given ratio of 1 tablespoon per gallon of water. Then 1/16 tablespoon should be added to 1 cup.
If you need to add 1 tablespoon of plant food per gallon of water, and you want to determine how much plant food you would need to add to 1 cup of water, we can use a conversion factor.
1 gallon is equal to 16 cups. Therefore, to convert from gallons to cups, we can use the conversion factor:
1 gallon / 16 cups.
Since you need to add 1 tablespoon of plant food per gallon, we can set up a proportion to find the amount of plant food needed for 1 cup of water:
1 tablespoon / 1 gallon = x / 1 cup.
To solve this proportion, we can cross-multiply:
1 tablespoon * 1 cup = 1 gallon * x.
x = (1 tablespoon * 1 cup) / 1 gallon.
Using the conversion factor of 1 gallon / 16 cups, we can substitute the value:
x = (1 tablespoon * 1 cup) / (1 gallon / 16 cups).
x = (1 tablespoon * 1 cup) * (16 cups / 1 gallon).
x = 16 tablespoons.
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under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large
A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
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Write the equation of each line in slope-intercept form and identify the slope. 4x=2+y
Answer:
y = 4x - 2
Step-by-step explanation:
Given: 4x=2+y
First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)
Once subtracted, you get: 4x-2=y
Rearrange it, and you get: y=4x-2
Jennifers average score and four rounds of the game was 16 points. She scored 18 points in the first round, 12 points in the second round, and 15 points in the third round. How many points did Jennifer score in the fourth round.
Answer:
19 points
Step-by-step explanation:
Let's make the fourth round x.
To find the average, we can use the mean. The mean is all the numbers added up then divided by the total amount of numbers.
18 + 12 + 15 + x ÷ 4 = 16
45 + x ÷ 4 = 16
45 + x = 16 × 4
45 + x = 64
x = 64 - 45
x = 19
Jennifer has to score 19 points to have an average (mean) of 16 points.
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a teacher spent
a total of $288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer
than twice the number of hot lunches the teacher bought.
Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the
teacher bought during the school year?
Currently you have two credit cards, h and i. Card h has a balance of $1,186. 44 and an interest rate of 14. 74%, compounded annually. Card i has a balance of $1,522. 16 and an interest rate of 12. 05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be?.
The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)
Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.
Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),
where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)
For card h,
A = 1186.44(1 + 0.1474/1)^(1*3)
A = 1883.99
For card i, A = 1522.16(1 + 0.1205/12)^(12*3)
A = 1973.23
Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24
The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.
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work out 140-3^2×(8+4)+6÷2
Answer:
140 - 9 (12) + 3
140 - 108 +3
140 - 111
= 29
Investors buy a studio apartment for $150,00. Of the amount, they would have a down payment of $30,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $52,500 down payment be
Answer:20% , 35%
Step-by-step explanation:
30000/150000=0.2*100=20%
52500/150000=0.35*100=35%
prove that: tan[(π/4)+(x/2)] + tan[(π/4)-(x/2)]= 2secx
we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)
and tan(A-B)= (tanA-tanB)/(1+tanAtanB)
tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)
tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)
now add the equation (1) and (2) which is LHS of question. So we get:
{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS
Hence proved.
which angles are corresponding angles
Answer:
A, D, and E
Hope this helps<3
How do I work out 5 divided by 102.05???
Thanks to kasey1476443 for giving me the answer. She is a HERO!!!
I have one question how do I work out 5 divided by 102.05? You can add a picture when you comment.
Answer:
0.04899559039
Step-by-step explanation:
I put it in the caculator
Answer: The answer is 20.41
Step-by-step explanation:
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
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The probability that Brian buys a sandwich is 0.1. The probability that Brian gets the bus is 0.6. Assuming the events are independent, what is the probability that Brian buys a sandwich and gets the bus?
Answer:
6% chance
Step-by-step explanation:
I think it would be 0.1 * 0.6 which is 0.06
Answer:
Step-by-step explanation: