Forgot how to solve, i need help man..

The quantity we are estimating is 1, so the answer is simply 1.

Using linear approximation, we can approximate sin (9/4) as the first term of the Taylor series expansion of sin(x) around x = pi/2, evaluated at x = 9/4.

sin(x) = sin(pi/2) + cos(pi/2) * (x - pi/2) + higher order terms

= 1 + 0 * (x - pi/2) + ...

= 1

Therefore, sin (9/4) ≈ 1.

The quantity we are estimating is 1, so the answer is simply 1.

Since the answer is a whole number, there is no need to round it to four decimal places.

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The z-statistic for a 80% confidence interval for the population mean is 1.283

The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

α= (1-0.8)/2=0.1

Now, we have to find z in the Z table as such z has a p value of 1-α

That is z with a p value of 1-0.1 =  .9

so z = 1.283

The z-statistic for a 80% confidence interval for the population mean is 1.283

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Answer:

always true

Step-by-step explanation:

The solutions to the quadratic equation \(2x^2 - 11x + 12 = 0\) are x = 3/2 and x = 4..

To solve the inequality \(2x^2 - 11x + 12 = 0\) by factorizing, we have to find the roots of the quadratic equation and determine the values of x for which the inequality holds true.

The factorization of the quadratic equation 2x² - 11x + 12 = 0 is:

(2x - 3)(x - 4) = 0.

Setting each factor equal to zero gives us two equations:

2x - 3 = 0 and x - 4 = 0.

Solving, we get:

From 1, 2x = 3

x = 3/2

From 2, x = 4.

Therefore, the roots of the quadratic equation are x = 3/2 and x = 4.

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Answer:

The velocity of money is 6.

Step-by-step explanation:

Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.

Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.

      i.e                      V = \(\frac{P * Y}{M}\)

where: V is the velocity of money, P x Y is the nominal GDP  i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.

Given that, nominal GDP = 2400 and money supply = 400, then;

               V = \(\frac{2400}{400}\)

                  = 6

Therefore the velocity of money is 6.

Answer:

0.456 :)

Step-by-step explanation:

To minimize the cost of the fence, we need to find the dimensions of the rectangular field that will result in the smallest perimeter. Let's assume the length of the rectangle is x feet.

Since we want to divide the field in half with a fence parallel to one of the sides, the width of the rectangle will also be x feet.

The area of the rectangular field is given as 37.5 million square feet, so we have the equation x * x = 37.5 million.

Simplifying, we find x² = 37.5 million.

To minimize the cost, we need to minimize the perimeter of the rectangular field. The perimeter is given by P = 2x + 2x = 4x.

Using the equation x² = 37.5 million, we can solve for x by taking the square root of both sides. This gives us x = √(37.5 million).

Substituting this value of x into the perimeter equation, we get P = 4 * √(37.5 million).

Therefore, the lengths of the sides of the rectangular field that will minimize the cost of the fence are √(37.5 million) feet and √(37.5 million) feet.

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Of the two products the newsvendor order more quantity for X is more than the quantity ordered for Y.

Cr = 0.8 which is the critical ratio for both the products

The value of Z corresponding to the critical ratio of 0.8 from the standard normal distribution tables is 0.8416

Unless the quantity ordered by the newsvendor is Q, then

Q =  mean value of demand + Z x standard deviation of demand

Below are the specifications of the two products:

The mean requirement for both X and Y is 900O units.

Z value for both X and Y = 0.8416

Let,

Sd₁ Demand Standard Deviation for Product X

Sd₂ = Demand Standard Deviation for Product Y

Assuming that  (Product X does have a higher standard deviation than Product Y),

quantities for X =  mean value of demand + Z x standard deviation of demand

9000 + 0.8416Sd₁

Order amount for Y =  mean value of demand + Z x standard deviation of demand

9000 + 0.8416Sd₂

because

X₁ > X₂

As a result,

9000 + 0.8416Sd₁ > 9000 + 0.8416Sd₂

The quantity ordered for X is > the quantity ordered for Y.

Therefore, The quantity ordered for X is more than the quantity ordered for Y. As a result, Newsvendor orders Product X more frequently because it has a higher level of uncertainty.

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Answer:

A i think

Step-by-step explanation:

Answer:

The answer the the above question is 31

Step-by-step explanation:

f(x)=5x-3

so, f(8) = 5×8-3 = 37

Also,

g(x)= 3x

So, g(2)= 3×2 = 6

Now,

f(8)-g(2)= 37-6 = 31

Answer: 1/4

Step-by-step explanation:

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

This is the only value from the list that lies between 0 and1, that is

0 < \(\frac{1}{4}\) < 1

To solve the problem of determining the color of each car for automated placement of components on the bumpers, propose a cost-effective solution for determining the color of sports cars' bumpers using imaging. Implement a vision system to capture car images, apply image processing and color classification algorithms, select components based on color, and integrate with assembly robots.

To solve the problem of determining the color of each car for automated placement of components on the bumpers, an imaging-based solution can be employed with cost-effectiveness as a primary consideration. Here's a proposed solution:

1. Use a vision system: Implement a camera-based vision system that captures images of the cars as they move along the assembly line. The system should be capable of capturing accurate color information.

2. Image processing: Apply image processing techniques to analyze the captured images and extract color information from specific regions of interest (such as the bumper area).

3. Color classification: Utilize color classification algorithms to determine the color of each car based on the extracted color information. This can involve comparing pixel values or using machine learning algorithms to classify the colors accurately.

4. Component selection: Associate each color classification with the appropriate bumper component. Set up a system that selects the corresponding component based on the determined car color.

5. Cost optimization: Consider the cost aspect while selecting the components. Evaluate the cost of each component and prioritize cost-effective options without compromising quality or performance.

6. Integration: Integrate the imaging-based color detection system with the assembly robots to ensure seamless component selection and placement based on the determined color.

7. Testing and refinement: Conduct extensive testing and validation of the system to ensure accurate color detection and component selection. Refine the algorithms and processes as necessary to improve performance and reliability.

By combining imaging technology, image processing, color classification, cost optimization, and integration with the assembly process, this proposed solution aims to automate the selection of color-coordinated components for the sports cars' bumpers efficiently and cost-effectively.

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Answer:

The graph could only move up and down from the origin but not left and right

Hope this helps!

The size of the sample that she would have to get a margin of error less than 0.03 is 752

We have the margin of error E = 0.03

The confidence interval C I = 90 percent

p = 1 - p = 0.5

z α / 2 = 1.645

The formula for the sample size is given as

(z α / 2 / E)² * p * (1 - p)

(1.645 /  0.03)² * 0.5 * 0.5

= 54.833² * 0.5 *0.5

= 752

Hence n is given as 752. The size of the sample would have to be 752.

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Incomplete question. The remaining part of the question reads;

Here are the places they could visit:

I calculated the cost of going to 'Big City Zoo and Space Science'.

Answer:

Big City Zoo = $3.86

Space science = $1.35

Step-by-step explanation:

For Big City Zoo:

Entrance fee: $2.5 x 25 = $62.5

Charges per mile: $6.5 x 36 = $234

Total cost of trip= $296.5

Final cost for all students to attend this field trip = $296.5 - $200 = $96.5. Meaning each student pays $3.86 (or $96.5/25 students).

For Space Science:

Entrance fee: $6.75 x 25 = $168.75

Charges per mile: $6.5 x 10 = $65

Total cost of trip= $233.75.

Final cost for all students to attend this field trip = $233.75 - $200 = $33.75. Meaning each student pays $1.35 (or $33.75/25 students).

Answer:

28

Step-by-step explanation:

so basically you are going to multiply 26 by 2 which equals 52 and then you are going to subtract the square root of 576 which gives you 28:) good luck

Answer:

6 I think

Step-by-step explanation:

7 + 5(x - 3) = 22

7 + 5x - 15 = 22

7 + 5x = 37

5x = 30

x = 6

{ 6 }

Answer:

y = −x + 2.5

Step-by-step explanation:

Answer:

4)a. A = π(3²) = 9π

b. h = 10

c. V = 9π(10) = 90π

Cindy will take 0.25 hours or 15 minutes to travel a distance of 2 miles at a constant speed of 8 miles per hour.

The formula for time is: time = distance / speed where "distance" is the distance traveled by an object, and "speed" is the rate at which the object is moving.This formula can be used to calculate the time taken by an object to travel a certain distance at a constant speed, or to calculate the speed or distance if the other two variables are known.

The formula for speed is: speed = distance / time where "distance" is the distance traveled by an object and "time" is the duration of travel.This formula can be used to calculate the speed of an object if the distance it has traveled and the time it took to travel that distance are known. It can also be used to calculate the distance traveled by an object if its speed and the time it traveled at that speed are known.

In the given question,

We can use the formula:

time = distance / speed

where "distance" is the distance traveled and "speed" is the speed at which Cindy is riding her bike.

Substituting the given values, we get:

time = 2 miles / 8 miles per hour

Simplifying, we get:time = 0.25 hours.

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Hence, the probability that an aircraft entering the area is detected by more than two radar sets is approximately 0.998816, or about 99.88%.

To calculate the probability that an aircraft is detected by more than two radar sets, we need to consider the different combinations of radar sets that can detect the aircraft.

Let's analyze the possibilities:

If the aircraft is detected by all three radar sets:

Probability = (probability of detection) * (probability of detection) * (probability of detection)

= (0.98) * (0.98) * (0.98)

= 0.941192

If the aircraft is detected by exactly two radar sets:

There are three possible combinations of two radar sets that can detect the aircraft: (1st and 2nd), (1st and 3rd), (2nd and 3rd).

Probability for each combination = (probability of detection) * (probability of detection) * (probability of failure to detect) = (0.98) * (0.98) * (0.02) = 0.019208.

Total probability = 3 * 0.019208 = 0.057624.

Therefore, the probability that an aircraft is detected by more than two radar sets is the sum of the probabilities from the two cases above:

Probability = 0.941192 + 0.057624

= 0.998816

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x = 64°

Step-by-step Explanation

x = 1/2[(360° - 2*58°)-2*58°]

x = 1/2[(360° - 2*58°) - 2*58°]

x = 1/2[(360° - 116°) - 116°]

x = 1/2[244° - 116°]

x = 1/2[128°]

x = 64°

Answer: 5

Step-by-step explanation:

The degree is \(5+m\). Setting this equal to 10, we get m = 5.

Answer:

x=5

Step-by-step explanation:

22 + 4x - 32 < 0

            +32    +32

22 + 4x < 32

-22           -22

2x < 10

divide by 2

x=5

Answer: x=-6

Step-by-step explanation:

Add 5 to both sides to get 2x by itself

Yes, subtract 1 from both sides to get 3x by itself so you can subtract 2x as to not get a negative x value

One common mistake would be to accidentaly adding or subtracting 1 or 5 when they are supposed to be added/subtracted. To avoid this just go back and check your awnser by plugging it in.