What is your net pay after FICA has been taken out if you make $47,000?
Remember that FICA is 7.65%

Answer:

A = 5*5=25

P = 5 + 5 + 5 + 5 = 20

Explanation:

If a square has an area of 25 ft then we need to look at the GCF

1,25 5,5 25,1

since it's a square its sides are equal so 5,5 are our length and width.

5 * 5 = 25

the perimeter is all sides added together, so if all sides are equal to 5 the perimiter is

5+5+5+5 = 20

The union of the two events (oil industry investment is successful and municipal bond investment is successful) contains three sample points: (Oil Industry investment is successful, Municipal Bond investment is successful), (Oil Industry investment is unsuccessful, Municipal Bond investment is successful), (Oil Industry investment is successful, Municipal Bond investment is unsuccessful).

a. There are four sample points for this experiment: (oil industry investment is successful, municipal bond investment is successful), (oil industry investment is unsuccessful, municipal bond investment is successful), (oil industry investment is successful, municipal bond investment is unsuccessful), (oil industry investment is unsuccessful, municipal bond investment is unsuccessful).

b. The tree diagram for this experiment is shown below:

    Investment

       |

       |

   --------------

   |            |

Oil Industry    Municipal Bond

Sample Points:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is successful)

• (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is unsuccessful)

c. The sample points in o (oil industry investment is successful) are:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)

The sample points in M (municipal bond investment is successful) are:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is successful)

d. The sample points in the union of the events (o ∪ M ) are:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is successful)

• (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)

The union of the events can be expressed mathematically as:

o ∪ M = {(Oil Industry investment is successful, Municipal Bond investment is successful), (Oil Industry investment is unsuccessful, Municipal Bond investment is successful), (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)}

To calculate the union of the two events, we can use the formula for the union of two sets:

A ∪ B = {x | x ∈ A ∨ x ∈ B}

In this case, A = o and B = M, so the union of the two events can be expressed as:

o ∪ M = {x | x ∈ o ∨ x ∈ M}

= {(Oil Industry investment is successful, Municipal Bond investment is successful), (Oil Industry investment is unsuccessful, Municipal Bond investment is successful), (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)}

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You need to add 3.6 fluid ounces of oil to your 1.5 gallons of gasoline to create the correct oil-to-gasoline ratio for your Puch Maxi Moped.

To determine the amount of oil you need to add to your 1.5 gallons of gasoline, you first need to understand the concept of a ratio.

In this case, the ratio of oil to gasoline is 2.4 fluid ounces of oil for every gallon of gasoline.

To calculate the amount of oil you need for 1.5 gallons of gasoline, you can set up a proportion using the ratio:

2.4 fluid ounces of oil / 1 gallon of gasoline = X fluid ounces of oil / 1.5 gallons of gasoline

To solve for X, you can cross-multiply the fractions:

2.4 fluid ounces of oil x 1.5 gallons of gasoline = 1 gallon of gasoline x X fluid ounces of oil

Simplifying the equation gives:

3.6 fluid ounces of oil = X fluid ounces of oil

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Complete Question:

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline.

You have 1.5 gallon of gas. How much oil should you add?

Answer:

they are the same thing

Step-by-step explanation:

Answer:

They are practically the same thing but if you want to get technical then they are related because A slope  a measure of steepness. A line with a large slope, such as 25, is very steep. A  line with a small slope, such as 1 /10 is very flat. So this means it will rise over run if that makes sense.

Hope this helps!

The surface area of the given square pyramid would be = 22.44 cm².

To calculate the surface area of the square pyramid the formula given below is used:

Surface area = a²+ 2al

where a² = area of base = (3²)= 9cm

a = side of base= 3cm

l = slant height. = 2.24cm

Surface area = 9+2(3×2.24)

= 9+ 2(6.72)

= 9+ 13.44

= 22.44 cm²

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The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

The given relation, \(x^2 + x = 2y^3 + 2\), is symmetrical to the y-axis but not symmetrical to the x-axis, the origin, or neither.

Symmetry to the y-axis means that if we replace \(x\) with \(-x\) in the equation, it remains unchanged. In this case, substituting \(-x\) for \(x\) gives us \((-x)^2 + (-x) = 2y^3 + 2\). Simplifying further, we have \(x^2 - x = 2y^3 + 2\). By comparing this with the original equation, we can see that both equations are the same. Therefore, the relation is symmetrical to the y-axis.

However, the relation is not symmetrical to the x-axis or the origin. Symmetry to the x-axis would require that if we replace \(y\) with \(-y\) in the equation, it remains unchanged. But substituting \(-y\) for \(y\) gives us \(x^2 + x = 2(-y)^3 + 2\), which simplifies to \(x^2 + x = -2y^3 + 2\). This equation is not the same as the original equation, indicating a lack of symmetry to the x-axis. Similarly, substituting \(-x\) for \(x\) and \(-y\) for \(y\) in the original equation does not yield an equivalent equation, so there is no symmetry with respect to the origin.

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Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

-10/8x-6/8

Step-by-step explanation:

Answer: -1.25x-0.75 or 1/4*(-5x-3)

Step-by-step explanation:

The first answer is converting the original expression into decimals (0.75 = 1/4). The second answer is factoring 1/4 out of the original expression (dividing each term by 1/4).

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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The answer is 28

Step-by-step explanation:

Answer:

in the 50th cube I think it's 250, because your just adding 5 each time, and for the cube equal to 156 that is uh I don't really know, try the 50th one, because 5x50 is 155

Step-by-step explanation:

I am so sorry if I'm wrong.

The size square should be cut from each comer to obtain maximum volume is 35 cubic inches.

To obtain the maximum volume of the candy box, we can use calculus to find the optimal size of the square that should be cut from each corner.

Let x be the length of the side of the square that is cut out from each corner. Then, the dimensions of the base of the box will be (27-2x) by (15-2x), and the height of the box will be x.

The volume V of the box can be expressed as:

V = x(27-2x)(15-2x)

Expanding this expression, we get:

V = 4x^3 - 84x^2 + 405x

To find the maximum volume, we can take the derivative of V with respect to x and set it equal to zero:

dV/dx = 12x^2 - 168x + 405 = 0

Solving for x using the quadratic formula, we get:

x = 2.5 inches or x = 5/3 inches

Since x must be less than half of both 27 and 15, the solution x=2.5 inches is not valid. Therefore, the optimal size of the square that should be cut out from each corner is x=5/3 inches.

Substituting this value back into the expression for V, we get:

V = (5/3)(21/3)(9/3) = 35 cubic inches, which is the maximum volume that can be obtained.

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Answer:

Any line with the slope 1 or y = x + b

Step-by-step explanation:

Parallel lines by definition have the same slope

Value of the y-intercept or b doesn't matter in this case

You have to find the slope of the line through (3,6) and (5,8)

Slope equation is

Plug in values given

\(\frac{8-6}{5-3}\)

Evaluate

\(\frac{2}{2} =1\)

Any line with the slope of 1 (or no co-efficient in front of x) would be parallel to the line through (3,6) and (5,8)

Answer:

275, 300, 450, 490, 675

Median: 450

Q1: 287

Step-by-step explanation:

the capture rate will be lower than what is indicated in the confidence level.

A C% confidence interval gives an interval of plausible values for a parameter. The interval is calculated from the data and has the form, point estimate ± margin of error.

When the random and large counts conditions are met, a C% confidence interval for the population proportion p is

Point estimate ±margin of error

Ƹ± √Ƹ(1 − Ƹ)/

Where z is the critical value for the standard normal curve with C% of its area between –z and +z.

Your interval will look like: ______ < p <________

Confidence Intervals in a 4 Step Process:

Statistics Problems Demand Consistency

1. State: What parameter do you want to

estimate, and at what confidence level?

2. Plan: Identify the appropriate inference

method: check conditions.

3. Do: If the conditions are met, perform

calculations.

4. Conclude: Interpret your interval in the

context of the problem.

When constructing a confidence interval for a population proportion, it is checked that sample size is less than 10% of population size.

This condition is important due to the the fact that when sample size is less than of population size, observations are closer to independent.

If this requirement is not met, it is not possible to calculate standard deviation of distribution.

If this requirement is not met, it is not possible to calculate standard deviation of distribution correctly.

If standard deviation is not correct, confidence level will be inaccurate. There are less chances to obtain population parameter in confidence interval.

Therefore, the capture rate will be lower than what is indicated in the confidence level.

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The capture rate will be lower than what is indicated in the confidence level.

An interval of conceivable values for a parameter is provided by a C% confidence interval. The interval is formed as a point estimate with a margin of error and is calculated from the data.

A C% confidence interval for the population proportion p when the random and large counts requirements are satisfied is 

Point estimate margin of error

Ƹ± √Ƹ(1 − Ƹ)

Where z is the critical value for the standard normal curve with C% of its area between –z and +z.

Your interval will look like: ______ < p <________

Confidence Intervals in a 4-Step Process:

1. Clarify what parameter you wish to estimate and at what level of confidence.

2. Make a plan and decide which inference technique is best. Check the circumstances.

3. If the criteria are satisfied, run the calculations.

4. Summarize: Consider your interval in light of the issue.

It is ensured that the sample size is less than 10% of the population size when creating a confidence interval for a population proportion. This requirement is crucial because observations are more likely to be independent when the sample size is smaller than the population size. Calculating the distribution's standard deviation is impossible if this condition is not satisfied. The standard deviation of the distribution cannot be appropriately calculated if this condition is not satisfied. The confidence level will be incorrect if the standard deviation is incorrect. Population parameters are less likely to be found in a confidence interval. As a result, the capture rate will be lower than what the confidence level predicts.

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Answer:

D

Step-by-step explanation:

Answer:

\(2\sqrt{3}\)

Step-by-step explanation:

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

38) Angle 2 = 32°; angle 1 = 32°; angle 3 = 110°

39) Angle 3 = 81°; Angle 2 = 28°; angle 1 = 71°

Step-by-step explanation:

38) angle 2 = 180 - (110 + 38)

This is because sum of angles in a triangle is equal to 180°. Thus;

Angle 2 = 32°

Angle 1 = 38° due to the postulate that alternate interior angles are equal

Angle 3 = 110° due to corresponding angles postulate

39) Angle 3 = 81° due to the postulate that alternate interior angles are equal

Angle 2 = 28° due to the postulate that alternate interior angles are equal

Angle 1 = 180 - (81 + 28) = 71° due to the fact that angles in a triangle sum up to 180°

Answer:

5,670

Explanation:

Given the expression

2(3⁴*5)7

= 2(81*5)*7

= 2(405)*7

= 2 * 405 * 7

= 14 * 405

= 5,670

hence the result of the expression is 5,670

The expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 35 + t.

In this question, we have been the amount in location A is given by a function A(t) = 10 + 2t

And the amount in location B is given by a function : B(t) = 25 − t

We need to find an expression that can be used to determine the total amount of credit cards opened at the two locations.

The total amount combined between A and B is given as,

(A + B)(t) = 10 + 2t + 25 - t

(A + B)(t) = 10 + 25 + 2t - t

(A + B)(t) = 35 + t

Therefore, the expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 35 + t.

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Answer:

5000 lbs

Step-by-step explanation:

if there ae 8 boxes and each one has the weight of 625 you will need to ultiply 8 by 625 and that will be 5000 pounds

Answer:

c=38

Step-by-step explanation:

Substitute 6 for r and -2 for t in the formula given

c=rt^(2)-3t+8

c=6*(-2)^2-3*(-2)+8

c=6*4-3*-2+8

c=24+6+8

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer:

1. m∠1 = 45°

2. m∠1 = 129°

3. m∠1 = 37°

4. m∠1 = 88°

m∠2 = 42°

m∠3 = 113°

5. m∠1 = 62°

m∠2 = 45°

m∠3 = 24°

6. m∠1 = 128°

m∠2 = 52°

m∠3 = 47°

m∠4 = 133°

7. m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 50°

m∠7 = 107°

8. x = 9°

10. x = 5°

11. x = 7°

Step-by-step explanation:

1. m∠1 = 180° - (76° + 59°)  = 45°

m∠1 = 45°

2. m∠1 = 62° + 67°  = 129°

m∠1 = 129°

3. m∠1 = 152° - 115° = 37°

m∠1  = 37°

4. m∠2 = 42° (Alternate angles)

m∠1 = 180° - (50° + m∠2) = 180° - (50° + 42°) = 88°

m∠1 = 88°

m∠3 = 180° - (25° + 42°) = 113°

m∠3 = 113°

5. m∠3 = 73° - 49° = 24°

m∠3 = 24°

m∠2 = 118° - 73° = 45°

m∠2 = 45°

m∠1 = 180° - (73° + 45°) = 62°

m∠1 = 62°

6. m∠2 = 52° (Alternate interior angles)

m∠1 = 180° - 52° = 128° (The sum of angles on a straight line)

m∠1 = 128°

m∠3 = 47° (Alternate interior angles)

m∠4 = 180° - 47° = 133° (The sum of angles on a straight line)

m∠4 = 133°

7. m∠3 = 95° (Vertically opposite angles)

m∠2 = m∠4  (Vertically opposite angles)

m∠3 + 95° + m∠2 + m∠4 = 360° (The sum of angles at a point)

2 × 95° + 2 × m∠2 = 360°

m∠2 = (360° - 2 × 95°)/2 = 85°

m∠2 = 85° = m∠4

m∠2 = 85°

m∠4 = 85°

m∠1 = 360° - (85° + 140° + 90°) = 41°

m∠1 = 41°

m∠5 = 180° - 144° = 36°

m∠5 = 36°

m∠6 = 180° - (m∠5 + m∠3) = 180° - (36 + 95°) = 50°

m∠6 = 50°

m∠7 = 360° - (m∠4 - 38° - (180° - m∠6)) = 360° - (85° - 38° - (180° - 50°)) = 107°

m∠7 = 107° (Sum of angles in a quadrilateral)

8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 180°

Using an online application, we have;

(6·x - 12)° = 180°

x = (180 + 12)°/6 = 32°

x = 32°

9. (3·x - 5)° + (7·x + 5)° + 90° = 180°

Using an online application, we have;

10·x = 180° - 90° = 90°

x = 90°/10 = 9°

x = 9°

10. 151° = (11·x - 1)° + (20·x - 3)°

151° = 31·x - 4°

31·x = 151° + 4° = 155°

x = 155°/31 = 5°

x = 5°

11. (14·x - 13)° = (4·x + 13)° + (6·x + 2)°

(14·x - 13)° = (10·x + 15)°

(14·x - 10·x)° = (13 + 15)° = 28°

4·x = 28°

x = 28°/4 = 7°

x = 7°

1. 45°

2. 51°

3. 37°

4. 88°, 42°, 113°

5. 62°, 45°, 24°

6. 128 degrees, 52°,, 47°, 43° 83°

7. I have no clue

8. 12

9. 9

10. 5

11. 7