Using the Cobb-Douglas model for productivity, suppose a small yogurt shop has the production function P(L,C)=7.32 C1168 a. Find and interpret P(45,1500). b. Find and interpret ap ОР and at the point P(45,1500). al ac 13. Use your wind chill temperature formula to answer each. a. You are in Jackson Hole, Wyoming and it is cold there, very cold. Suppose the thermometer indicates a temperature of -29 F and the wind is howling at 35 miles per hour. Find W(35,-29). b. Find and interpret marginal wind chill temperature of velocity at W(35,-29).

Answer:

x= -1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x+2(x-9)=8x+x-14 ;; equation

simplify the equation to the form

3x+2(x-9)=8x+x-14

reorder the terms in parentheses

3x+(+2x-18)=8x+x-14

remove unnecessary parentheses

+3x+2x-18=+8x+x-14

move all terms containing x to the left and all other terms to the right.

+3x+2x-8x-1x=-14+18

simplify left and right side of the equation.

-4x=+4

divide both sides of the equation by -4 to get x.

x=-1

A mixture contains 200 oz of juice that contains 60% tomato juice and 100 oz vegetable juice that contains 20% tomato juice. The concentration tomato juice in the resulting mixture is 40%.

Percentage is used to represent a fraction of a hundred.

Let:

w1 = weight of tomato juice in juice 1

w2 = weight of tomato juice in vegetable juice

Hence,

w1 = 60% x 200 oz = 120 oz

w2 = 20% x 100 z = 20 oz

Total weight of tomato juice = 100 + 20 = 120 oz

Total weight of the mixture = 200 oz + 100 oz = 300 oz.

Hence, the concentration of the tomato juice in the final mixture is:

concentration = total weight of tomato juice/ total weight of mixture

                       = 120/300

                       = 2/5 = 40%

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The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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The total area of the given shape is 71cm².

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. A shape's area can be calculated by contrasting it with squares of a known dimension. The square meter (abbreviated as m²), which is the area of a square whose sides are one metre long, is the common measure of area in the International System of Units (SI). Three such squares would be the same size as a shape with a three square metre surface.

The following figure can be divided into a rectangle 7cm x 8cm and a triangle of height and base 6 cm and 5 cm respectively.

Area of rectangle= 7*8= 56 cm²

Area of triangle= 1/2* base*height= 1/2*6*5 = 15 cm²

Total area of shape = 56+15= 71 cm²

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Answer:

hopes this helps.

Step-by-step explanation:

Hey there!

2(5x + 3) - 2(2x - 3)

DISTRIBUTE

= 2(5x) + 2(3) - 2(2x) - 2(-3)

= 10x + 6 - 4x - 6

COMBINE the LIKE TERMS

= (10x - 4x) + (6 + 6)

= 10x - 4x + 6 + 6

= 6x + 12

Therefore, your answer is: 6x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

It just simplifies to x

Step-by-step explanation:

The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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Answer : The value of the test statistic z* rounded to two decimal places is 1.88, which is option C.

Explanation :

Given,Sample size for males, n₁ = 100

Sample size for females, n₂ = 200

Total number of males arrested, x₁ = 7

Total number of females arrested, x₂ = 5

As per the given question, we are supposed to find out the value of the test statistic z*.

The formula for the test statistic z* is given by:z* = (p₁ - p₂) / √(p(1-p)(1/n₁ + 1/n₂))

Where,p₁ = Proportion of males arrested for drugs = x₁ / n₁

           p₂ = Proportion of females arrested for drugs = x₂ / n₂p = (x₁ + x₂) / (n₁ + n₂)

Substituting the given values in the formula, we get:

p₁ = 7/100 = 0.07 p₂ = 5/200 = 0.025p = (7+5) / (100+200) = 0.04

z* = (0.07 - 0.025) / √(0.04×0.96×(1/100 + 1/200))= 1.88

Hence, the value of the test statistic z* rounded to two decimal places is 1.88, which is option C.

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Perimeter refers to the length of the boundary that surrounds a geometric shape. In simpler words, the perimeter is the total length of the sides of the shape. It is denoted by the letter P and measured in units.

The perimeter of a shape is calculated by adding up the length of all its sides.

Let us consider a few examples to understand the concept of perimeter better: Square: A square is a shape with all sides equal in length. If a square has a side length of 5 cm, its perimeter would be: P = 4 × 5 cm = 20 cm

Rectangle: A rectangle is a shape with two pairs of parallel sides. If a rectangle has length 7 cm and breadth 4 cm, its perimeter would be: P = 2 (l + b) = 2 (7 cm + 4 cm) = 2 × 11 cm = 22 cm Triangle: A triangle is a shape with three sides.

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, its perimeter would be: P = 3 cm + 4 cm + 5 cm = 12 cm Circle: A circle is a shape with no sides but has a boundary.

The perimeter of a circle is also known as its circumference.

If a circle has a radius of 4 cm, its circumference (perimeter) would be: P = 2πr = 2 × 3.14 × 4 cm = 25.12 cm.

In conclusion, the perimeter of a shape is calculated by adding up the length of all its sides.

The perimeter helps in determining the amount of fencing needed for a property or the length of material needed to go around the edge of an object.

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Here is the expected number of broken machines or tanks and K is the total number of tanks. So (K-L) gives the number of tanks in working condition.

The number of repairmen (R) needed to have an average of at least 180 tanks working is to be determined. Thus as observed from the results obtained for one-way data table, the value of R such that (K-L) is at least 180 is R = 11 repairmen

The Expected number of broken or bad machines (L) is

\(L=\sum j\pi_i\)

The Expected number of machines waiting for service (1) is

\(L=\sum (j-R)\pi_i\)

An expected number of words is often used as a guideline to ensure that the content is neither too long nor too short. In this case, the expected number is 150 words. A 150-word piece of writing can be considered a short composition. It is long enough to convey a basic idea or message, but not so long that it becomes tedious to read. This length is often used in blog posts, news articles, and social media updates.

When writing a 150-word piece, it is important to make every word count. The writing should be clear and concise, with each sentence contributing to the overall message. It may also be helpful to outline the main points before starting to write to ensure that the piece stays focused.

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Answer:

the question?

Step-by-step explanation:

0. This function needs to be defined at one given point.

1. There must be a limit for this function

2. The value of the, limit of that function, at that point must be the same as the, value of that function, at that point.

1) There are three conditions that must be satisfied so that we can tell that one given function is continuous at a given point.

2) This function needs to be defined at one point, in other words, there must be a value linking that point in the Domain to another one in the Range.

There must be a limit as x approaches that point from left and from the right.

Finally, the value of the limit of that function as x approaches that point must be the same as the value of that point.

3) Hence, the answer is:

0. This function needs to be defined at one given point.

1. There must be a limit for this function

2. The value of the limit must be the same as the value of that function at that point.

Answer:

1: 5/2 = 2.5 eggs

2: 25 1/3 bags of gravel

Step-by-step explanation:

You should always measure your following distance in seconds. The correct answer for measuring following distance is A.  

It is important to keep a safe distance between vehicles on the road, which is known as following distance. Measuring following distance in seconds is a more reliable method than measuring it in car lengths or feet.

The recommended following distance is typically two to three seconds. This means that when the vehicle in front of you passes a fixed point on the road, you should not reach that same point before two to three seconds have elapsed.

Measuring in seconds is more effective as it takes into account the speed at which both vehicles are traveling. If you measure in car lengths or feet, it may not be accurate as the length of the cars may differ, and it does not account for the speed of the vehicles. By measuring in seconds, you can maintain a safe distance and reduce the risk of accidents or collisions.

The correct answer for measuring following distance is A.  

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Complete question is:

You should always measure your following distance in __________

A. seconds. B. car lengths. C. feet.

To find the probability of certain outcomes in coin tosses, we can use the binomial probability formula.

In the first scenario, where a fair coin is tossed 25 times and we want to calculate the probability of at most 24 heads occurring, the correct answer is option (c) 0.00000077. In the second scenario, where a fair coin is tossed 26 times and we want to calculate the probability of at least 3 heads occurring, the correct answer is option (a) 0.999994770.

In the first scenario, we use the binomial probability formula P(X ≤ k) = ∑(i=0 to k) (nCi) * p^i * q^(n-i), where n is the number of trials, k is the desired outcome, p is the probability of success (getting heads), q is the probability of failure (getting tails), and nCi represents the binomial coefficient.

For at most 24 heads, we calculate P(X ≤ 24) by summing the probabilities of getting 0, 1, 2, ..., 24 heads. Since it is a fair coin toss, p = 0.5 and q = 1 - p = 0.5. Plugging in the values, we find that the correct answer is option (c) 0.00000077.

In the second scenario, we use the complement rule to find the probability of at least 3 heads. P(X ≥ 3) = 1 - P(X < 3), where P(X < 3) is the probability of getting 0, 1, or 2 heads. Again, since it is a fair coin toss, p = 0.5 and q = 1 - p = 0.5. Plugging in the values, we find that the correct answer is option (a) 0.999994770.

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The general form of an exponential decay function is f(a) = P . (1 - r)ᵃ,  while the general function of growth function is f(a) = P . (1 + r)ᵃ.  Hence, if the factor (1 - r) is less than 1, it is a decay function, while if the factor  (1 + r) is greater than 1, it is a growth function

The general exponential decay function can be written as:

f(a) = P . (1 - r)ᵃ

Where:

P = initial quantity

f(a) = remaining quantity at time a

a = time period

r  = decay rate

(1 - r) = decay factor

On the other hand, the general exponential growth function can be written as:

f(a) = P . (1 + r)ᵃ

where:

r = growth rate

(1 + r) = growth factor

Hence, the difference between decay function and growth function is: the factor in decay faction is less than 1, while in growth function, the factor is greater than 1.

Example:

f(a) = 6 . (0.25)ᵃ

This is an exponential decay function because the factor is less than 1, that is 0.25

f(a) = 10 . (3)ᵃ

This is not an exponential decay function, but a growth function,  because the factor is greater than 1, that is 3

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Answer:

Step-by-step explanation:

3

Answer:

The best stems would be: 1, 2, and 3

Step-by-step explanation:

When you are making the stem and leaf plots, you are using the diget in the tens place as the stem

Answer:

Step-by-step explanation:

4x+2-(3+3x)=7

4x+2-3-3x=7

x-1=7

x=8

Answer:

3490+4099=7589..... ............ ........

Based on the given histogram, the percentage of students that scored higher than 70.5 is 15%.

A histogram refers to a graph that shows the frequency of numerical data using rectangles. The height of a rectangle (the vertical axis) represents the distribution frequency of a variable. It is used to summarize discrete or continuous data that are measured on an interval scale. It is often used to illustrate the major features of the distribution of the data in a convenient form. In the given histogram, the percentage of students that scored higher than 70.5 is determined using the frequency of students in the interval. The total number of observations the summation of frequency which is equal to 12+19+20+11+5+13 = 80. Hence, the percentage of students that scored higher than 70.5 = (12/80)*100 = 15%

Note: The question is incomplete. The following histogram shows the exam scores for Prealgebra class. Use this histogram to find the percentage of students that scored higher than 70.5 but lower than 75.5. Round your answer to the nearest percent.

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Answer:

51 mins were not ads

Step-by-step explanation:

1 video = 9 mins

6 videos = x

x = 9×6 = 54 mins

mins of ads = 3 mins

mins that were not ads = total mins of videos – total mins of ads

= 54 – 3 = 51 mins

if this helped pls give brainliest

Answer:

The answer is b

Step-by-step explanation:

Using the data in WAGE1.RAW for this exercise we can say that the following questions be solved.

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilised in statistical testing. A sample should be representative of the population as a whole and should not show bias towards any one characteristic.

(i) The estimated equation comes out to be:

log(wage) .128 (0.106) + 0904educ 0410Exper 000714Exper² + (.0075) (.0052) (.000116)

n = 526, R² = 0.300, R² = 0.296

(ii) The t statistic on exper² is about -6.16, which has a p-value of essentially zero. Hence exper² is significant at 1% level (and much smaller significance levels).

(iii) To estimate the return to the fifth year of experience, start at

Exper = 4 and increase Exper by one, so that ΔExper= 1.

%Δwage = 100(0.410-2(.000714)4] =3.53%

Similarly, for the 20th year of experience:

%Δwage = 100(.0410-2(0.000714)19] = 1.39%

(iv) The turnaround point is about 0.041/[2(.000714)] = 28.7 years of experience.

In the sample, there are 121 people with at least 29 years of experience. This is a fairly sizeable fraction of the sample.

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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The formula for this is:

Initial amount x multiplier^years

So that is £8000 x 1.028^4 = £8934.33938

That is £8934.34

The monthly payment that Micaylah gives will be $189.1.

Given that:

Principal, P = $8,500

Rate, r = 0.0325 / 12 = 0.0027

Time, n = 4 x 12 = 48

The formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

Substitute the values in the above equation, then the monthly payment is calculated as,

MP = $8,500 x 0.0027 x (1 + 0.0027)⁴⁸ / [(1 + 0.0027)⁴⁸ - 1]

MP = $8500 x 0.0027 x (1.1382) / (1.1382 - 1)

MP = $8500 x 0.0027 x (1.1382) / (0.1382)

MP = $8,500 x 0.0027 x 8.2135

MP = $189.1

Thus, the monthly payment that Micaylah gives will be $189.1.

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Answer:

- \(\frac{1}{8}\)

Step-by-step explanation:

Given

- \(\frac{1}{5}\) × \(\frac{5}{8}\) ( cancel the 5 on numerator/ denominator )

= - 1 × \(\frac{1}{8}\)

= - \(\frac{1}{8}\)

F. The graph of g(x) is translated 6 units to the right compared to the graph of f(x)

Answer:

54 minutes

Step-by-step explanation:

3:14 = 3 × 60 = 180 + 14

= 194

2:20 = 2 × 60 = 120 + 20

= 140

194 - 140

= 54

in mix number, the answer will be

\(8 \frac{7}{9} \)

if you need in decimal form than the answer in going to be

\(8.777778\)

Answer:

8\(\frac{7}{9}\)

Not sure what you mean by "also you need to get a mic number for the end"