Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12

The proportion of the jury selected that are Hispanic would be = 1,350,000 people.

To calculate the proportion of the selected jury that are Hispanic, the following steps needs to be taken as follows:

The total number of residents = 3 million

The percentage of people that are Hispanic race = 45%

The actual number of people that are Hispanic would be;

= 45/100 × 3,000,000

= 1,350,000 people.

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Complete question:

Twelve jurors are randomly selected from a population of 3 million residents. Of these 3 million residents, it is known that 45% are Hispanic. Of the 12 jurors selected, 2 are Hispanic. What proportion of the jury described is from Hispanic race?

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer:

Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group

Step-by-step explanation:

It would be better if he had 5 teams because everyone will be able to be in a team

Based on the tree diagram and the independence of the events, we can conclude that the events represented in the diagram are independent events.

To determine if the events are dependent or independent, we need to examine the branches of the tree diagram and check if the outcomes of one event affect the outcomes of the other event.

In the given tree diagram, the selection of colors for the cubes is represented by different branches. Each branch represents an independent event because the outcomes of selecting one color do not affect the outcomes of selecting another color.

The probabilities associated with each branch can be multiplied to calculate the probability of a specific sequence of events indicating that they are independent.

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Answer:

Number line with closed circle on 2 and shading to the right

Step-by-step explanation:

Due to this being a speedy answer, I will forego and explanation

Answer:

The last one so d

Step-by-step explanation:

Answer:

Subtotal: $250.00

Savings: $62.50

New Subtotal: $187.50

Total: $195.00

Step-by-step explanation: First, multiply 25 by 10. You'd get 250. Then, recall the formula to find the worth after a percent is applied:

Worth = Whole number * part percent / 100

Plug in the numbers:

Worth = 250 * 25 / 100

6250 / 100

=  62.50

Now, since it's a discount we need to subtract the discount price from the current subtotal. This would look like this:

250 - 62.50 = 187.50

Now, use the same formula to find the sales tax:

187.50 * 4 /100

750 / 100

= 7.5

So, since we need to pay the tax, we add the amount to our current subtotal:

187.50 + 7.5 = 195

So, our total is $195.00

Answer:the answer is 2

Step-by-step explanation:I did the quiz

Answer:$7

Step-by-step explanation:

Answer:

they charge 6$ for 300 text messages.

Step-by-step explanation:

hope this helped! c:

Answer: 3.65 cm/yr

Step-by-step explanation:

100 cm = 1 meter

365 days in a year

365 divded by 100 is 3.65

Answer:

Charlene earns $700 per week

Kristi earns $550 per week

Sascha earns $800 per week

Step-by-step explanation:

Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.

Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.

k+150+k+s=2050

The next step here is to put the variables on one side and to put the numeric values on the other.

2k+s=1900

Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.

2(s-250)+s=1900

2s-500+s=1900

3s=2400

s= 800

We now have Sandra's weekly pay, which we can use to find the others' pay.

c= s-100

c= 800-100

c= 700

k= c-150

k= 700-150

k= 550

The circumference of the circle is 78.5 cm

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre.

The diameter of the circle is calculated by calculating the diagonal of the rectangle.

d = √7² +24²

d = √625

d = 25 cm

therefore the diameter of the circle is 25 cm

The circumference of a circle is expressed as;

C = πd

C = 3.14 × 25

= 78.5 cm

Therefore the circumference of the circle is 78.5 cm.

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Answer:

the answers are in the picture.. if you have any questions you can ask :)

Answer:

9

Step-by-step explanation:

-5 + (-18) +32

-23 + 32

32 -23

To determine if the new fertilizer is effective, the farmer can use hypothesis testing, specifically a one-sample t-test. This test compares the mean yield of the corn crop using the new fertilizer to the historical mean yield of the corn crop using the old fertilizer.

1. Formulate hypotheses: Set up a null hypothesis (H0) stating that the fertilizer has no effect on yield, and an alternative hypothesis (H1) stating that the fertilizer increases yield.

2. Collect data: The farmer should divide his field into two sections - one with the new fertilizer and one without. He should then measure the corn yield from each section.

3. Determine the test statistic: Calculate the mean yield for each section and find the difference between them.

4. Set a significance level: Choose an acceptable level of Type I error (commonly 5%, represented as α = 0.05).

5. Calculate p-value: Using the appropriate statistical test (e.g., t-test or ANOVA), determine the probability of observing the calculated test statistic or a more extreme value, assuming the null hypothesis is true.

6. Compare p-value to α: If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis, indicating that the fertilizer was effective in increasing corn crop yield.

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Answer:

These are primary numbers

Step-by-step explanation:

P.S. Please give brainliest I would appreciate it :)

Answer:

\(\displaystyle m=\frac{1}{7}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, 2)

Point (5, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

The height of the flagpole when marci who is 5 feet tall is standing in lines of sight to the top and bottom of the pole is 20 feet.

To estimate the height of the flagpole, we can use trigonometry.

Let's call the height of the flagpole "h" and the distance from Marci to the base of the pole "d".

We can set up a right triangle with the flagpole as the hypotenuse, Marci's height as one leg, and the distance from Marci to the base of the pole as the other leg.

Using the tangent function, we can say:

tan(θ) = perpendicular/base

In this case, the opposite is Marci's height (5 feet) and the adjacent is the distance from Marci to the base of the pole (d).

We don't know the angle yet, but we can use the fact that the angle formed by Marci's lines of sight to the top and bottom of the pole is the same as the angle formed by the top of the pole, Marci's eye, and the base of the pole (since these are alternate interior angles).

Let's call this angle "x".
So, we have:
tan(x) = 5/d
To find the height of the pole, we need to use another trig function. Since we know the adjacent and the hypotenuse, we can use the cosine function:
cos(x) = base/hypotenuse

In this case, the adjacent is still d and the hypotenuse is h + 5 (since Marci's height is included in the overall height of the flagpole).

So we have:

cos(x) = d/(h + 5)

We can rearrange this equation to solve for h:

h = (d/cos(x)) - 5

Now we just need to find the value of x.

We know that the tangent of x is 5/d, so we can use the inverse tangent function (tan^-1) to find x:

x = tan^-1(5/d)

Plugging this into the equation for h, we get:

h = (d/cos(tan^-1(5/d))) - 5

We can simplify this a bit by using the identity:

cos(tan^-1(x)) = 1/√(1 + x^2)

So we have:

h = (d * √(1 + (5/d)²)) - 5

Now we just need to plug in the values given in the problem. Let's say that Marci stands 20 feet away from the base of the pole. Then we have:

h = (20 * √(1 + (5/20)²)) - 5

h = 19 feet (rounded to the nearest foot)

So the answer is (b) 20 feet.

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The possible values of x be  4.8, 5.6 and 6.4.

The statement of equality between two expressions consisting of variables and/or numbers.

Given:

5x -4y = 24

when y=0

5x = 24

x = 4.8

when y=1,

5x= 28

x= 5.6

when y=2,

5x= 32

x= 6.4

Hence, the possible values of x is 4.8, 5.6 and 6.4.

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Answer:

-23

Step-by-step explanation:

Using percentage to determine the ounce of iceberg lettuce in the salad from the pie chart, we have 15.2 ounces

A pie chart is a circular chart that is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area), is proportional to the quantity it represents. Pie charts are very useful for displaying data and are most commonly used to show percentages or proportional values of different categories relative to the whole.

We can use the concept of percentage to determine the number of ounces of iceberg lettuce present.

In the pie chart, the percentage of ice berg lettuce is 40% and the quantity of salad bought is 38 ounce

40 / 100 = x / 38

0.4 = x / 38

x = 38 * 0.4

x = 15.2 ounces

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Answer:

6 possible outcomes

Step-by-step explanation:

To solve this problem, we have to make use of the Fundamental Counting Principle formula.

The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.

In the above question, we are given two events.

Event 1

3 varieties of cheese: Cheddar, Gouda, and Swiss.

Event 2

2 styles of cheese: Shredded and Sliced

The possible outcomes for the variety and style of cheese = Event 1 × Event 2

= 3 × 2

6 possible outcomes.

These 6 Possible outcomes are listed below:

1) Cheddar cheese , Shredded

2) Cheddar cheese , Sliced

3) Gouda cheese , Shredded

4) Gouda cheese , Sliced

5) Swiss cheese , Shredded

6) Swiss cheese , Sliced

Answer:

food : 22

clothes : 48

Step-by-step explanation:

70 - 26 = 44

44 divided by 2 = 22

22 + 26 = 48

70 - 48 = 22

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

The amount of water needed to be drank is approximately 2 cups of water are required for every pound of body weight reduced.

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

Refilling fluid: To add fluid to something that has been drained, in particular: to replace any fluids the body has lost from dehydration. assist a patient in hydrating.

Oral rehydration solutions (ORSs), which include Pedialyte, are used to treat dehydration. ORSs, which help replace lost fluids, include the correct ratio of salt, sugar, potassium, and other minerals.

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Complete question - A general rehydration recommendation after exercise is 2.5 cups of fluid for every 1 pound of body weight lost. Using this guideline, how much fluid would Vanessa need to consume to make up for the weight that was lost during her run?

Calculation: 2 cups x lbs of body weight lost = cups of water needed

A. Approximately 4 cups of fluid

B. Approximately 8 cups of fluid

C. Approximately 6 cups of fluid

D. Approximately 10 cups of fluid

7. Vanessa asks if she should start using sports drinks. Which of the following would best answer Vanessa's question?

A. A sports drink is not beneficial for you at this time and may provide unnecessary calories.

B. A sports drink would be beneficial to replace fluid and electrolytes when exercising for less than 30 minutes.

C. A sports drink would be beneficial on days when you are exercising for over an hour at a higher intensity.

8. If Vanessa uses a sports drink in the future, how much glucose, sodium and potassium should be provided per 24 fluid ounces of sports drink?

A. No more than 30 g of glucose, 450 g of sodium and 225 mg of potassium.

B. No more than 75 g glucose, 150 mg sodium, 175 mg potassium.

C. No more than 15 g of glucose, 500 mg sodium, 200 mg potassium.

D. No more than 45 g of glucose, 225 mg of sodium and 275 mg of potassium.

Answer:

Below

Step-by-step explanation:

It is the third one!

A right angle is a 90 degree angle, you can identify these by the little box in the corner!

Hope this helps!

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Mary will have to take a sample of 30 to 40 students to treat observations as independent.

According to the central limit theorem, one condition for performing a hypothesis test is that the observations are independent. Mary is going to take a sample from a population of 500 students.

According to the requirement of the central limit theorem, when performing a hypothesis test, the observations should be independent. In order to treat observations as independent, Mary will have to take a sample without replacement.

For a sample to be independent, each of the students in the population should have an equal chance of being selected. Since the total population of students is 500, Mary should pick any number of students that will represent the entire population.Usually, a sample size of about 30 to 40 students is enough to represent the entire population.

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Answer:

2

Step-by-step explanation:

i^2 = -1

i^4 = 1

i^20 repeats the cycle 5 times, making i^20 = 1

Answer:

the answer is D) i

Step-by-step explanation: i got it wrong to the bozo who said 1 and it says the answer is i

The answers are (a) 1.5 orders (b) 0.5  (c)-1

a. Probability that a faxed order will arrive within the next 9 minutes:

Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:

Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.

b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).

The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:

Probability = (10 orders/hour)  (0.1 hours) - (10 orders/hour) (0.05 hours)

= 1 - 0.5

= 0.5.

c. Probability that 12 or more minutes will elapse between faxed orders:

Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.

The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:

Probability = 1 - (10 orders/hour) (0.2 hours)

= 1 - 2

= -1.

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