makaylah is using elimination to solve the system below and will first add the equations together 5x-2y=42 and -3x+2y=-26 which of the following shows the result of the two equations added together

In order to find the probabilities for the mean content of a random sample of 40 cans of Coke, we can use the central limit theorem. According to the central limit theorem, when a sample size is sufficiently large, the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution.

a) To find the probability that the mean content is at least 12.16 oz, we need to calculate the z-score corresponding to this value and then find the area under the standard normal distribution curve to the right of that z-score. The z-score is calculated by subtracting the population mean from the desired value (12.16 oz) and dividing it by the standard deviation of the sample means (0.14 oz divided by the square root of 40, which is approximately 0.0222). The calculated z-score is (12.16 - 12) / 0.0222 = 7.20. Using a standard normal distribution table or a statistical calculator, we can find that the probability corresponding to a z-score of 7.20 is essentially 1 (or 100%). Therefore, the probability that the mean content is at least 12.16 oz is approximately 1 or 100%.

b) To find the probability that the mean content is less than 11.94 oz, we follow a similar process. We calculate the z-score by subtracting the population mean from the desired value (11.94 oz) and dividing it by the standard deviation of the sample means (0.14 oz divided by the square root of 40, which is approximately 0.0222). The calculated z-score is (11.94 - 12) / 0.0222 = -2.70. Using a standard normal distribution table or a statistical calculator, we can find that the probability corresponding to a z-score of -2.70 is approximately 0.0035 or 0.35%. Therefore, the probability that the mean content is less than 11.94 oz is approximately 0.0035 or 0.35%.

In summary, a) the probability that the mean content is at least 12.16 oz is approximately 1 or 100%, and b) the probability that the mean content is less than 11.94 oz is approximately 0.0035 or 0.35%. These probabilities are calculated using the central limit theorem and the standard normal distribution.

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Answer:

$43-$27=$16

Step-by-step explanation:

Answer:

he received 16 dollars bc if he had 27 and now he has 43 just count from 27 to 43

Step-by-step explanation:

Answer:

Step-by-step explanation:

a 4x/5-3=12

4x/5=15

4x=75

x=75/4

b u could have done times 5 first

4x-3=60

Answer:

(2) The statement is true.

-1 < r < 1

y=2x-3

y=2x+3

Since the both expressions 2x-3 and 2x+3 are equal to y, set them equal to each other forming an equation in x.

2x-3=2x+3

Cancel equal terms on both sides of the equation

-3=3

The statement is false for any value of x and y , so there is no solution

Answer:

Your answer is: It is already rounded to the nearest thousandth.

If you rounded to the nearest hundred your answer is: 1.40 or 1.400

If you rounded to the nearest tenth your answer is: 1.4

Step-by-step explanation:

Hope this helped : )

Answer:

Yes

Step-by-step explanation:

10/5=2

4/2=2

The ratios are equal

Answer: Yes

Step-by-step explanation:

10:5 and 4:2 round to 2:1 respectively, which are equivalent.

Answer:

New number of fruits sold = 7 fruits

Step-by-step explanation:

Given:

Total number of fruits = 24

Amount raised = $18

More amount need to earn = $5.25

Find:

New number of fruits sold

Computation:

New number of fruits sold = [24 / 18]5.25

New number of fruits sold = 6.9999

New number of fruits sold = 7 fruits

Target Corporation is a retail company that operates in the United States. Some key financial elements of Target Corporation include its revenue, net income, and operating expenses. In recent years, Target has seen a consistent increase in its revenue, with a reported revenue of $78.11 billion in the fiscal year 2020.

This growth can be attributed to various factors such as strong sales in categories like apparel, beauty, and home goods. Regarding net income, Target has also shown positive performance. In fiscal year 2020, the company reported a net income of $3.3 billion, indicating its ability to generate profits. This growth can be attributed to effective cost management strategies and increased sales.
When it comes to operating expenses, Target has been successful in controlling costs. The company has implemented various initiatives to optimize its supply chain, reduce store labor costs, and improve efficiency. This has helped Target in achieving higher profit margins.
Overall, Target Corporation has demonstrated strong financial performance in terms of revenue growth, net income, and effective cost management. It remains a key player in the retail industry, continuously adapting to changing consumer trends and focusing on providing an exceptional shopping experience.

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

B

Step-by-step explanation:

-3 is less than -2. Therefore your answer is B.

Answer:

B

Step-by-step explanation:

-2 is bigger than -3 on a number line

Answer:

it is a it the first one. 7/13

Answer:

A.

Step-by-step explanation:

The bottom number is the same so leave then and just add the top.

Makes 7/13

Answer:

Each student get \(\frac{3}{4}\) cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction \(\frac{3}{4}\)

Answer:

The length of the rectangle is 17 yards and the width of the rectangle is 14 yards.

Explanation:

To find the perimeter of the rectangle, you had to add twice the length of the rectangle to twice the width of the rectangle since the shape of a rectangle is made up of two legs (each representing the rectangle's length) and two legs (each representing the rectangle's width.

The perimeter can be mathematically seen as p = 2l+2w, where p is the amount corresponding to the perimeter of the rectangle, l is the amount representing the length of the rectangle, and w is the quantity reflecting the width of the rectangle. This equation can be modified using the equation l = w+3, since it is given that the length is 3 yards longer than the width.

Therefore, the p = 2l+2w equation can be modified to solve for w using the given conditions and the equation defining l.

p = 2l+2w  

p = 2(w+3)+2w               [Substituting l = w+3]

p = 2w+6+2w

p = 4w+6

p-6 = 4w+6-6

p-6 = 4w

(p-6)/4 = 4w/4

w = (p-6)/4

w = (62-6)/4                  

w = 56/4

w = 14

Now the length of the rectangle can be determined using the equation l = w+3.

l = 14+3 = 17

Hope this helps Also Plz mark brainliest:)

The quadratic function can be written in the form f(x) = a(x - h)^2 + k.

In this form, a represents the coefficient in front of the squared term, which determines the direction and steepness of the graph. If a is positive, the graph opens upwards, and if a is negative, the graph opens downwards.

The values of h and k determine the vertex of the quadratic function. The x-coordinate of the vertex is given by h, and the y-coordinate is given by k. By adjusting these values, you can shift the graph horizontally (left or right) or vertically (up or down) to create different positions for the vertex.

For example, let's say we have the quadratic function f(x) = 2(x - 3)^2 - 1. In this case, the coefficient a is 2, and the vertex is located at (3, -1). The graph will open upwards since a is positive, and the vertex will be shifted 3 units to the right and 1 unit down from the origin.

Similarly, if we have the quadratic function f(x) = -0.5(x + 2)^2 + 4, the coefficient a is -0.5, and the vertex is located at (-2, 4). The graph will open downwards since a is negative, and the vertex will be shifted 2 units to the left and 4 units up from the origin.

In summary, the quadratic function can be written in the form f(x) = a(x - h)^2 + k, where a determines the direction and steepness of the graph, and h and k determine the position of the vertex. Adjusting these values allows you to create different shapes and positions for the graph of a quadratic function.

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When a 30-inch segment is cut into two parts whose lengths have the ratio 3 to 5, the length of the shortest part is 11.25 inches.

Therefore, the answer is 11.25in.

A line segment is cut into two parts, say of length x and y in inch. As they are cut in ratio 3 is to 5, x/y = 3/ 5.

Therefore, 5x = 3y implies x = 3y/5 = 0.6y

Also total length of the line segment is 30in, that is x + y = 30.

Therefore, 0.6y + y = 30

y = 30/ 1.6

= 18.75

Thus, x = 0.6y = 11.25

Therefore the 30in line segment is divided into lengths of 11.25in and 18.75in.

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Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

it correlates with the points u gave

Answer:

D)

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

31 terms.

Step-by-step explanation:

218 = 8 +  (n-1)7

210 = (n-1)7

30 + n-1

n = 31

There would be 31 terms in the given AP.

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

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The distribution of Y/X cannot be determined analytically due to the complexity of the integral. Numerical methods or approximations would be needed to obtain the distribution.

To determine the distribution of Y/X, we need to find the cumulative distribution function (CDF) of Y/X.

First, let's find the range of Y/X. Since X and Y have densities defined within the range [0, π], and X appears in the denominator, we need to exclude X = 0 from the range of Y/X. Therefore, the range of Y/X is (0, ∞).

Now, let's find the CDF of Y/X. For any value y/x in the range (0, ∞), we can calculate the probability P(Y/X ≤ y/x) as follows:

P(Y/X ≤ y/x) = P(Y ≤ (y/x)X)

To calculate this probability, we integrate the joint density function f(x, y) over the appropriate region. In this case, the region is defined by 0 ≤ x ≤ π and 0 ≤ y ≤ (y/x)x. Since the joint density is given as c⋅cos(x), we have:

P(Y/X ≤ y/x) = ∫∫[0,π]x[0,(y/x)x] c⋅cos(x) dy dx

To solve this integral, we need to evaluate it over the given region. However, the given region is not easily expressible in terms of elementary functions. Therefore, we cannot determine the exact distribution of Y/X analytically.

In practice, to determine the distribution of Y/X, one may use numerical methods, such as Monte Carlo simulation or numerical integration techniques, to approximate the CDF and obtain the distribution of Y/X based on the available information.

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Answer:

f(2) = 32

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x + 16

f(2) is x = 2

Step 2: Evaluate

And we have our answer!

The three factors that need to be taken into account when determining the sample size are the margin of error, level of confidence, and standard deviation.

To determine the sample size required to estimate the mean with a given level of confidence, we need to consider three factors. The first factor is the margin of error, which is the maximum distance between the sample mean and the true population mean that can be tolerated and is denoted by E.

The second factor is the level of confidence, which is the probability that the true population mean lies within the margin of error of the sample mean. This is denoted by (1-α), where α is the level of significance. Therefore, the level of confidence is 1 - α.

The third factor is the population standard deviation (σ) or the variance (σ²). If the population standard deviation is not given, we can use the sample standard deviation as an estimate. However, if the population size is greater than 30 and the distribution is normal, the sample mean can be used to estimate the population mean. On the other hand, if the population size is less than or equal to 30, the sample mean can be used to estimate the population mean only if the population distribution is normal.

Therefore, it is crucial to consider the distribution of the population when deciding if the sample mean can be used to estimate the population mean.

In summary, the three factors that need to be taken into account when determining the sample size required to estimate the mean with a given level of confidence are the margin of error, level of confidence, and population standard deviation (σ) or the variance (σ²). It is essential to understand each of these factors to accurately determine the required sample size.

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Answer:

take 19 degree as reference angle

using sine rule

sin 19 degree=x/74

0.32=x/74

0.32*74=x

23.68=x

Step-by-step explanation:

Hope this helps u !!

Answer:

-1

Step-by-step explanation:

first 5+3=8

8-9=-1