A group of 3 numbers has an average of 17. The first two numbers are 12 and 19. What is the third number

Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

Joanne's health insurance plan with a $1000 deductible, 80% coinsurance, and a $5000 out-of-pocket cap requires her to pay for her medical expenses until she reaches the deductible.

After reaching the deductible, she is responsible for 20% of the covered expenses, up to the out-of-pocket cap. The plan pays the remaining percentage of covered expenses.

To calculate how much the plan pays for Joanne's July losses, we need to consider her deductible, coinsurance, and out-of-pocket cap.

In March, Joanne incurs $1000 in covered medical expenses.

Since this amount is equal to her deductible, she is responsible for paying the full amount out of pocket.

In July, Joanne incurs $3000 in covered expenses. Since she has already met her deductible, the coinsurance comes into play.

According to the plan's coinsurance rate of 80%,

Joanne is responsible for 20% of the covered expenses.

Therefore, Joanne is responsible for paying 20% of $3000, which is $600.

The plan will pay the remaining 80% of the covered expenses, which is $2400.

In December, Joanne incurs $30,000 in covered expenses. Since she has already met her deductible and reached her out-of-pocket cap, the plan pays 100% of the covered expenses.

Therefore, the plan will pay the full $30,000 for her December losses.

To summarize, Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

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Answer:

A

Step-by-step explanation:

The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.

Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).

Using the Pythagorean theorem, the straight-line distance d is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:

d = √((4 - 0)² + (3 - 0)²)

= √(4² + 3²)

= √(16 + 9)

= √25

= 5

Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

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\(\huge\underline\mathtt\colorbox{cyan}{1. f(-1)}\)

For this to be a solution of f(x), the answer must be 0

x^2+1=0 when x=-1

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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The tangent line has the largest slope at the value(s) of x=0 where the derivative of the function y = -6 + 250x^3 - 3x^5 is maximized.

To find the value(s) of x where the tangent line has the largest slope for the given function y = -6 + 250x^3 - 3x^5, we need to determine the maximum of the derivative.

First, we find the derivative of the function: y' = 750x^2 - 15x^4. To find critical points, we set the derivative equal to zero: 750x^2 - 15x^4 = 0.

Factoring out x^2, we get x^2(750 - 15x^2) = 0. This equation has two solutions: x = 0 and x = √(750/15) = √50.

Next, we analyze the sign changes around these critical points to determine the behavior of the derivative. We can create a sign chart to evaluate the sign of the derivative in different intervals.

The intervals to consider are (-∞, 0), (0, √50), and (√50, +∞). After analyzing the sign chart, we find that the derivative is positive on (-∞, 0) and negative on (0, √50) and (√50, +∞).

Thus, the tangent line has the largest slope at x = 0 because the derivative changes from positive to negative at that point.

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Complete Question:

At what value(s) of x on the curve y = -6 + 250x^3 - 3x^5 does the tangent line have the largest slope?

The number 32 can be written as a power with a base of 2 as 2^5

The index form of a number is defined as that number represented as an exponential expression, or even a single number raised to another number.

Example;

2^n

3^3

From the information given, we have to determine the index form of 32

It is expressed in the base of 2 as;

32 = 2 × 2 × 2 × 2 × 2

32 = 2^5

Thus, the number 32 can be written as a power with a base of 2 as 2^5

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Answer:

onkine survey tool i think

Answer:

cookies

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

(66) + (8x) = 90

x = 3

hope this helps!!!

Answer:

any equation with a 6 before the x

y=6x+b

Step-by-step explanation:

standard form is y=mx+b

m is the slope and b is y-intercept

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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When comparing means of three or more conditions, an analysis of variance (ANOVA) should be used instead of multiple t-tests. This is because using multiple t-tests increases the risk of a type I error, where a significant difference is found when there is none. ANOVA controls for this by using a single test to determine if there is a significant difference between the means. Additionally, using multiple t-tests increases the risk of a type II error, where a significant difference is not found when there is one.

ANOVA is also more likely to detect statistical significance between the means because it takes into account the variability within each condition as well as the variability between conditions. This increases the power of the test and reduces the chances of missing a significant difference between the means.

When using ANOVA, the results can indicate that there are no differences between any of the population means (option a), that at least one of the three population means is different from another population mean (option b), that all three of the population means are different from each other (option c), or that one population mean is different from one of the other population means, but not the other population mean (option d).

Finally, ANOVA provides a measure of effect size, typically reported as r2, which indicates the proportion of variability in the data that can be attributed to the differences between the conditions. This can be useful in determining the practical significance of the results.

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The volume of an ice cube produced by this machine is of:

Volume ice cube = 1 inch³

  A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.

If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:

Volume cube = side x side x side

Volume cube = side³

side = 1 inch

Volume ice cube = 1 inch³

As the side is 1 the volume and area will be 1 but with corresponding unit

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Apple is focusing on the product element of the four Ps.

The four Ps refer to the marketing mix, which is a framework used to analyze and develop marketing strategies. The four Ps include Product, Price, Place, and Promotion. Each element plays a crucial role in creating value for consumers.

These products are designed to meet the needs and preferences of consumers, providing them with innovative and high-quality technology solutions.

The product element of the four Ps focuses on developing and delivering a product or service that satisfies customer needs and wants. Apple's focus on creating a variety of offerings demonstrates its commitment to product development and innovation.

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Answer:

X'= (-3,6)

Y'=(7,8)

Z'=(11,2)

Step-by-step explanation:

when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1

Answer:

X′(−3, 6), Y′(7, 8), Z′(11, 2)

Step-by-step explanation:

Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?

To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.

But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.

You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.

You have successfully completed your mission. Congratulations! You are a master of reflections.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Answer:

Step-by-step explanation:

30 square unit is the area of the triangle DEF.

The properties of the triangle are:

We can use the coordinates of the three vertices of the triangle to find the length of its base and height, and then use the formula for the area of a triangle.

The base of the triangle is the line segment from point E to point F, which has a length:

|EF| = √[(4-4)^2 + (7-(-5))^2] = √(0^2 + 12^2) = 12

The height of the triangle is the perpendicular distance from point D to the line containing the base, which is the horizontal line y = -5.

Therefore, the height of the triangle is the vertical distance from point D to the line y = -5, which is 5 units.

The area of the triangle is then:

Area = (1/2) x (base) x (height)

= (1/2) x 12 x 5

= 30 square units.

Therefore, the area of triangle DEF is 30 square units.

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Answer:

The numbers that you gave are ordered weird on my screen, but it should be the second answer - 18.4 glue and 9.2 glitter

Step-by-step explanation:

Just multiply all the numbers by 4

4.6 x 4 = 18.4

4 + 4 + 4 + 4 = 16

16 + 0.6 + 0.6 + 0.6 + 0.6 = 18.4

2.3 x 4 = 9.2

2 + 2 + 2 + 2 = 8

8 + 0.3 + 0.3 + 0.3 + 0.3 = 9.2

Answer:

The mean is 3

Step-by-step explanation:

Answer:

Question 3

First option:
\(\dfrac{\ensuremath{\dfrac{4}{5}\;in}}{\dfrac{2}{3}\;hr}\)

Question 4
Third option:
\(\dfrac{1}{4} \div \dfrac{2}{5}\)

Question 5

Second Option:
\(\dfrac{7}{10}\)

Step-by-step explanation:

Question 3

If  \(\dfrac{4}{5}\) inches of rain falls every  \(\dfrac{2}{3}\) hours then the unit rate in inches per hour is inches \(\div\) hours

This would be:
\(\dfrac{\ensuremath{\dfrac{4}{5}\;in}}{\dfrac{2}{3}\;hr}\)

This is the first option in Question 3 answer choices

Question 4

\(\dfrac{\dfrac{1}{4}\;km}{\dfrac{2}{5}\;min}\)

is nothing but the numerator ÷ denominator which would be:

\(\dfrac{1}{4} \div \dfrac{2}{5}\)

This is the third option in Question 4 answer choices

Question 5

\(\dfrac{1}{2} \div \dfrac{5}{7}\\\)

Flip the divisor \(\dfrac{5}{7}\); it comes \(\dfrac{7}{5}\)

Multiply:
\(\dfrac{1}{2} \times \dfrac{7}{5}\)

The result is
\(\dfrac{7}{10}\)

This is the second option in Question 4 answer choices

Answers:

Question 3: \(\frac{\frac{4}{5}in.}{\frac{2}{3}hr.}\)

Question 4: \(\frac{1}{4}\) ÷ \(\frac{2}{5}\)

Question 5: \(\frac{7}{10}\)

Explanations:

Question 3: We're told that rain is falling at a rate of  \(\frac{4}{5} in.\) every  \(\frac{2}{3} hr.\), and the unit rate we're looking for is inches per hour (or more precisely, inches per 1 hour). Based on these parameters, we know that you have to divide the unit inches by the unit hours. So using the numbers above, the correct complex fraction to represent this situation would be \(\frac{\frac{4}{5} in.}{\frac{2}{3} hr.}\) .

Question 4: In this question, we are given a complex fraction and asked to rewrite it as a simple division problem. The complex fraction is \(\frac{\frac{1}{4} km.}{\frac{2}{5} min.}\), so in order to write this as a division expression, you simply take the numerator fraction and divide it by the denominator fraction, which will end up being \(\frac{1}{4}\) ÷ \(\frac{2}{5}\). Therefore, that will be your answer.

Question 5: Now, we have a division expression and are asked to use the Keep, Change, Flip method to solve the problem. First and foremost, the Keep, Change, Flip method is essentially telling you that when you are dividing by a fraction, you keep the dividend the same, you change the divisor - specifically switching the numerator with the denominator, which is creating the reciprocal of that fraction - and multiply by the reciprocal of the original divisor instead.

                   A good example of the Keep, Change, Flip method from above would be \(\frac{1}{2}\) ÷ \(\frac{1}{3}\). You keep the dividend, change the divisor, specifically flip the function around to create its reciprocal, and instead multiply by the divisor's reciprocal. Following those steps, \(\frac{1}{2}\) ÷ \(\frac{1}{3}\)  will become \(\frac{1}{2}\) × \(\frac{3}{1}\) or \(\frac{1}{2}\) × \(3\).

                  Now that we understand how to use the Keep, Change, Flip method, we can use it to solve the expression \(\frac{1}{2}\) ÷ \(\frac{5}{7}\). We keep \(\frac{1}{2}\) the same, flip \(\frac{5}{7}\) to make its reciprocal, and multiply \(\frac{1}{2}\) by that instead. So the final answer will be \(\frac{1}{2}\) ÷ \(\frac{5}{7}\) = \(\frac{1}{2}\) × \(\frac{7}{5}\) = \(\frac{7}{10}\).

Have a great day! Feel free to let me know if you have any more questions :)

The hotel makes a random purchase of 3 flat screen high definition television sets out of the 7 available. We need to determine the number of defective sets purchased by the hotel, represented by the variable x.

Since there are 2 defective sets out of the total 7, we can use combinations to calculate the probability. The number of ways to choose x defective sets out of 2 is given by \(C(2, x).\)

Similarly, the number of ways to choose (3 - x) non-defective sets out of the remaining (7 - 2) non-defective sets is given by \(C(5, 3 - x).\)

To find the probability, we divide the number of favorable outcomes (x defective sets and 3 - x non-defective sets) by the total number of possible outcomes (choosing any 3 sets out of 7).

Therefore, the probability of the hotel purchasing x defective sets out of the 3 purchased sets is given by the formula \(P(x) = (C(2, x) * C(5, 3 - x)) / C(7, 3).\)

To find the probability of the hotel purchasing at least 1 defective set, we calculate \(P(x = 1) + P(x = 2).\)

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Answer:

y ≈ 2.4

Step-by-step explanation:

Answer:122 days

Step-by-step explanation:

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

The number of bacteria present at the end of 6 hours is approximately 8,247.

To solve this problem, we need to use the formula for exponential growth, which is: N = N0 * e^(rt) where N is the final number of bacteria, N0 is the initial number of bacteria, r is the growth rate (in this case, 0.03), t is the time (in hours).

Using the given values, we can plug them into the formula: N = 6,000 * e^(0.03*6) Simplifying this expression, we get: N ≈ 8,247 Therefore, at the end of 6 hours, there will be approximately 8,247 bacteria in the culture.

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Answer:

The First Table

Step-by-step explanation:

2 times 1.5 equals 3

5 times 1.5 equals 15/2

2 times 4 equals 8

5 times 4 equals 20

The changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.

1) Factor rating
2) Outsourcing provider
3) Logistics services
4) Weights
5) Ratings

a) Factor rating is a method used to evaluate and select an outsourcing provider based on predetermined criteria. In this case, Fernando Garza's firm wants to select a logistics services provider using factor rating. The table provided includes the weights assigned to different criteria (quality, delivery, and cost) and the ratings of three potential providers (Overnight Shipping, Worldwide Delivery, and United Freight).

To make his decision, Garza needs to multiply the weight of each criterion by the rating of each logistics provider and sum up the results. The highest sum indicates the most suitable outsourcing provider. Let's calculate the results:

Overnight Shipping:
Quality: 5 (weight) x 90 (rating) = 450
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 70 (rating) = 140
Total: 450 + 210 + 140 = 800

Worldwide Delivery:
Quality: 5 (weight) x 80 (rating) = 400
Delivery: 3 (weight) x 85 (rating) = 255
Cost: 2 (weight) x 80 (rating) = 160
Total: 400 + 255 + 160 = 815

United Freight:
Quality: 5 (weight) x 75 (rating) = 375
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 95 (rating) = 190
Total: 375 + 210 + 190 = 775

Based on these calculations, Worldwide Delivery has the highest total score of 815, making it the most suitable outsourcing provider according to the given criteria.

b) Garza decides to increase the weights for quality, delivery, and cost to 10, 6, and 4, respectively. This change means that Garza now considers quality to be twice as important as before, delivery to be 1.5 times as important, and cost to be twice as important.

Let's recalculate the results with the updated weights:

Overnight Shipping:
Quality: 10 (weight) x 90 (rating) = 900
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 70 (rating) = 280
Total: 900 + 420 + 280 = 1600

Worldwide Delivery:
Quality: 10 (weight) x 80 (rating) = 800
Delivery: 6 (weight) x 85 (rating) = 510
Cost: 4 (weight) x 80 (rating) = 320
Total: 800 + 510 + 320 = 1630

United Freight:
Quality: 10 (weight) x 75 (rating) = 750
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 95 (rating) = 380
Total: 750 + 420 + 380 = 1550

With the updated weights, the new results show that Worldwide Delivery still has the highest total score of 1630, making it the most suitable outsourcing provider.

c) If Overnight Shipping's ratings for each of the factors increase by 10%, we need to recalculate the results while considering these changes.

Overnight Shipping:
Quality: 10 (weight) x (90 + 10% of 90) = 990
Delivery: 6 (weight) x (70 + 10% of 70) = 462
Cost: 4 (weight) x (70 + 10% of 70) = 308
Total: 990 + 462 + 308 = 1760

With the increased ratings, Overnight Shipping now has the highest total score of 1760, making it the most suitable outsourcing provider.

In summary, the changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300