PLEZ FIND ANSWER ASAP WILL GIVE BRAINLIEST.

a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.

a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).

b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.

c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.

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(a) The Null-Hypotheses is H₀ : μ = 12, Alternate-Hypotheses is Hₐ : μ ≠ 12.

(b) The "test-statistic" is 10.36,

(c) The "p-value" is 0.0001,

(d) We make a decision to reject the "Null-Hypothesis",

(e) We conclude that the cans of "regular-Coke" have volumes with mean different from 12 ounces.

Part (a) : The "Null-Hypothesis" is that the mean volume of cans of regular Coke is 12 ounces, as stated on the label. The alternative-hypothesis is that the mean volume is different from 12 ounces.

So, H₀ : μ = 12

Hₐ : μ ≠ 12.

Part (b) : The "test-statistic" for a one-sample t-test is calculated as:

t = (x' - μ)/(s / √n),

where "s" = sample standard-deviation, μ = population mean, x' = sample mean, and n = sample size,

In this case, x' = 12.19, μ = 12, s = 0.11, and n = 36.

So, t = (12.19 - 12)/(0.11/√36) = 10.36,

Part (c) : We know that for "significance-level" of 0.01. The p-value is 0.0001.

Part (d) : Since the p-value is less than the significance-level of 0.01, we reject the null hypothesis.

Part (e) : Based on the results of the hypothesis test, we can conclude that there is sufficient evidence to suggest that cans of regular-Coke have volumes with a mean different from 12 ounces.

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In reference to circle D (represented as ⊙D), a chord that is not a diameter could be chord AB.

A chord is a line segment that connects two points on the circumference of a circle. A diameter, on the other hand, is a chord that passes through the center of the circle and is the longest chord possible.

To identify a chord that is not a diameter, we can select any two points on the circumference of circle D that are not diametrically opposite. Let's consider chord AB.

Chord AB is a line segment that connects two points, A and B, on the circumference of circle D. Since it is not passing through the center of the circle, chord AB is not a diameter.

It's important to note that there can be multiple chords in a circle that are not diameters. The specific choice of chord AB in this case is arbitrary and serves as an example of a chord that is not a diameter in reference to circle D (⊙D).

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Refer to o dot D

a)Name the center of the circle

b)Name a chord which is not a diameter.

c)Name four radii

d)Name a secant

e) Name a tangent and the points of geometry

f)If PE=x, then HE=?

a) To graph the marginal utility of x, we need to find the derivative of the utility function with respect to x. Given that y=1, the utility function becomes U=x^(1/5). Taking the derivative of U with respect to x, we get dU/dx = (1/5)x^(-4/5). This represents the marginal utility of x.

When we graph the marginal utility of x, we put the marginal utility on the vertical axis and x on the horizontal axis. Since x^(-4/5) is positive for all positive values of x, the graph of the marginal utility of x will have a positive slope that decreases as x increases. The shape of the graph will resemble a downward-sloping curve that approaches zero as x approaches infinity.

b) The MRS (Marginal Rate of Substitution) for this consumer is the rate at which the consumer is willing to trade one good for another while keeping the total utility constant. In this case, the MRS is the negative ratio of the marginal utility of x to the marginal utility of y. Mathematically, MRS = -(dU/dx)/(dU/dy).

Since y is a constant and dU/dy = 0, the MRS simplifies to MRS = -(dU/dx)/0 = undefined. This means that the consumer is not willing to trade any amount of y for x, as the marginal utility of y is zero. The consumer only derives utility from x and does not value y in terms of marginal utility.

The graph of the marginal utility of x will have a positive slope that decreases as x increases. The MRS for this consumer is undefined, indicating that the consumer does not value y in terms of marginal utility.

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Use the Law of Sines to solve the triangle. The correct option among the given options is B C = 85°, a = 5.76, b = 8.69, where c ≈ 10.38.

To solve the triangle using the Law of Sines, we can use the formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's analyze each option one by one:

A) C = 85°, a = 7.76, b = 10.69

To solve this triangle, we can use the Law of Sines as follows:

a/sin(A) = b/sin(B) = c/sin(C)

7.76/sin(35°) = 10.69/sin(60°) = c/sin(85°)

Using this equation, we can solve for c:

c = (7.76 * sin(85°)) / sin(35°) c ≈ 13.99

Therefore, the answer is not C = 85°, a = 7.76, b = 10.69.

Now let's check the other options:

B) C = 85°, a = 8.76, b = 10.69

Using the same formula, we can calculate c:

c = (8.76 * sin(85°)) / sin(35°) c ≈ 15.77

Therefore, the answer is not C = 85°, a = 8.76, b = 10.69.

C) C = 85°, a = 8.69, b = 9.69

Using the same formula, we can calculate c:

c = (8.69 * sin(85°)) / sin(35°) c ≈ 15.56

Therefore, the answer is not C = 85°, a = 8.69, b = 9.69.

The correct option among the given options is B C = 85°, a = 5.76, b = 8.69, where c ≈ 10.38.

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Answer: 17.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a/b or {\displaystyle {\tfrac {a}{b}}}  

b

a

​  

, where a and b are both integers. As with other fractions, the denominator (b) cannot be zero.

Answer:

13 5/6 miles

Step-by-step explanation:

Monday --> 5 1/2 miles

Wednesday --> 8 1/3 miles

5 1/2 = 11/2

8 1/3 = 25/3

11/2 + 25/3  = 33/6 + 50/6 = 83/6 = 13 5/6 miles

Hope this helps!

Answer:

Daniel: y = 4x

Ryan: 3 boxes per hour

y = total number of boxes

--

h = hours

Ryan is able to pack 3 boxes in one hour. In multiple hours, the problem will be represented by the equation y = 3h.

--

So,

Ryan: y = 3h

Daniel: y = 4h

--

Based on our answers, we can conclude that when h increases, y also increases. Daniel's rate of packing boxes is higher than Ryan's, and therefore he has a greater rate of change, which means Daniel packs boxes faster in the same amount of time than Ryan.

Hope this helped :)

Answer:

Yah i think i remember doing this question once, it looks correct, i hope you do well on the test

Have a nice day!! :)

Answer:

fake

Step-by-step explanation:

Answer:

I can help give me your number

Step-by-step explanation:

Answer:

a=6

Step-by-step explanation:

write the equation as y=mx+b

y=-5/3x+b

solve for b

1=-5/3*-3+b

1-5=b

b=-4

Plug in -14 and solve for x

-14=-5/3x-4

-10=-5/3x

30/5=x

x=6 (x is basically a because a is the x coordinate)

To test the candy company's claim about the percentage of blue candies, a hypothesis test can be conducted using a significance level.

The null hypothesis would assume that the claimed percentage is true, while the alternative hypothesis would state that the claimed percentage is not true. The significance level will determine the threshold for rejecting the null hypothesis based on the observed data.

In hypothesis testing, the null hypothesis (H₀) represents the claim being tested, which in this case is that the percentage of blue candies is equal to a specific value. The alternative hypothesis (H₁) contradicts the null hypothesis and suggests that the claimed percentage is not true. Let's assume the claimed percentage is p. The test statistic used for comparing observed data with the null hypothesis is typically the z-score.

The next step is to determine the significance level, denoted as α. This value represents the probability of rejecting the null hypothesis when it is true. Commonly used significance levels are 0.05 (5%) and 0.01 (1%). Once the significance level is chosen, a critical region is established, which defines the range of values that would lead to rejecting the null hypothesis. The critical region is determined based on the chosen significance level and the distribution of the test statistic (in this case, the standard normal distribution).

Finally, the observed data is collected and analyzed. The test statistic is calculated using the observed proportion of blue candies, and it is compared to the critical values. If the test statistic falls within the critical region, the null hypothesis is rejected, indicating that there is evidence to support the claim that the percentage of blue candies is different from the claimed value. If the test statistic does not fall within the critical region, the null hypothesis is not rejected, suggesting that the claim made by the candy company is plausible.

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The weights in a weighted moving average are selected by: Trial and error, Fitting to a regression line, Guessing, Experience.

The methods for selecting weights in weighted moving averages are trial and error, fitting to a regression line, and experience.

When selecting weights for weighted moving averages, the following methods can be used:
Trial and error:

Testing different weight combinations to find the best fit for the data.
Fitting to a regression line:

Analyzing the relationship between the data points and assigning weights accordingly.
Experience:

Using prior knowledge and understanding of the data or similar situations to determine appropriate weights.

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 Trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.

With weighted moving averages, the weights can be selected using various methods. Here are the applicable methods from your given options:

1. Trial and error fitting: Weights can be selected by testing different combinations of weights and observing their impact on the accuracy of the model.

2. Fitting to a regression line: Weights can be determined by fitting a regression line to the data and using the coefficients of the regression line as the weights.

3. Experience: Domain knowledge or past experience with similar data can help in selecting appropriate weights.

In summary, trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.

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Answer:

refer to the pic

Step-by-step explanation:

This is what I got for this one

The likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%

When dealing with normally distributed data, we use the mean and standard deviation to determine the likelihood of certain events occurring. In this case, the mean weight of bags of cement is 53 with a standard deviation of 2.

To find the likelihood that a randomly selected bag has a weight greater than 50, we need to calculate the z-score for 50. The z-score tells us how many standard deviations away a particular value is from the mean.

z = (X - μ) / σ

where X is the value we're interested in (50), μ is the mean (53), and σ is the standard deviation (2).

z = (50 - 53) / 2 = -1.5

A z-score of -1.5 means that a weight of 50 is 1.5 standard deviations below the mean. To find the likelihood of a bag weighing more than 50, we can use a z-table or a calculator to find the area to the right of this z-score.

Looking up a z-score of -1.5, we find that the area to the left is approximately 0.0668, which means the area to the right (the likelihood of a bag weighing more than 50) is:

1 - 0.0668 = 0.9332

Thus, the likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%.

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Answer:what

Step-by-step explanation:what does this mean

Answer:

the angle which is equal to its supplement is 90 degree

Answer:

1) X = 12

2) 10 = Y

3) K = -3

4) N = -2

5) X = 5

6) X = -1.2 (plz double check)

7) W = 0.6

8) N = -0.28

9) I forgot how to do that

10) X = 7

Step-by-step explanation: What's your teacher trying to pull on you with those weird numbers? Double check my answers for those but everything should be correct. Let me know.

el adulto tiene 13 células más que el bebe

Answer:

n

Step-by-step explanation:

Answer: IRS has sent $6 billion in stimulus payments just in June. Here's how to track your money Your stimulus check could be on its way, along with child tax credit money and unemployment tax refunds.

Step-by-step explanation:

We have the following:

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

r = d/2

r = 2.4 m/2 = 1.2

h = 1.8

pi = 3.14

Volume = pi * r^2 * h

Volume = 3.14 * 1.2^2 * 1.8

Volume = 8.139

Volume = 8 to the nearest m^3

Using the exponential model F₀ = x, the annual rate of deforestation in El Salvador is 2.65%. .It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.

Given,

It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.

Let the area present in forest be x,

F₀ = x,

Forest's final area:

F = 53/100 x

F = 0.53x

Time = 20 years

As we know,

Exponential model,

F = F₀ e^rt

0.53 =  e^r(20)

Equating en both sides,

en 0.53 = en e ^20r

en 0.53 = 20r

r = en 0.53/20

r = 0.0265

r - 2.65%

Using the exponential model F₀ = x, the annual rate of deforestation in El Salvador is 2.65%. .It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.

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M = -2n - 13

hope this helps

Answer:

  9/5

Step-by-step explanation:

The slope between the two points can be found by ...

  m = (y2 -y1)/(x2 -x1)

  m = (-16-2)/(-10-0) = -18/-10

  m = 9/5

The slope of the line is 9/5. Perhaps this is a match to choice A.

Answer: 9/5

m = (y2 -y1)/(x2 -x1)

 m = (-16-2)/(-10-0) = -18/-10

 m = 9/5

a) To test the hypothesis that the population standard deviation σ = 4.1, with a sample size n = 25 and a sample standard deviation s = 3.841, we need to calculate the P-value.

The degrees of freedom (df) for the test is given by (n - 1) = (25 - 1) = 24.

Using the chi-square distribution, we calculate the P-value by comparing the test statistic (χ^2) to the critical value.

the correct conclusion is:

The P-value 0.305 is not significant and so does not strongly suggest that σ < 9.1. The test statistic is calculated as: χ^2 = (n - 1) * (s^2 / σ^2) = 24 * (3.841 / 4.1^2) ≈ 21.972

Using a chi-square distribution table or statistical software, we find that the P-value corresponding to χ^2 = 21.972 and df = 24 is approximately 0.028.

Therefore, the correct conclusion is:

The P-value 0.028 is not significant and so does not strongly suggest that σ < 4.1.

b) To test the hypothesis that the population standard deviation σ = 9.1, with a sample size n = 15 and a sample standard deviation s = 5.506, we follow the same steps as in part (a).

The degrees of freedom (df) for the test is (n - 1) = (15 - 1) = 14.

The test statistic is calculated as:

χ^2 = (n - 1) * (s^2 / σ^2) = 14 * (5.506 / 9.1^2) ≈ 1.213

Using a chi-square distribution table or statistical software, we find that the P-value corresponding to χ^2 = 1.213 and df = 14 is approximately 0.305.

Therefore, the correct conclusion is:

The P-value 0.305 is not significant and so does not strongly suggest that σ < 9.1.

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Answer:

B. 0.4

Step-by-step explanation:

area of circle is \(\pi r^{2}\)

\(\pi 3^{2} =28.27\)

area of triangle is bh\(\frac{1}{2}\)

(14)(10)(1/2)=70

\(\frac{28.27}{70}\)=0.403857