after euclid high school's last basketball game, it was determined that 1/4 of the team's points were scored by alexa and 2/7 were scored by brittany. chelsea scored 15 points. none of the other 7 team members scored more than 2 points. what was the total number of points scored by the other 7 team members?

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

7÷\(\frac{1}{3}\)

7*\(\frac{3}{1}\)

21

Answer:

4

Step-by-step explanation:

A typical pizza consists of 8 pieces. 8x3=24

24/6 (including John) everyone will get 4 pieces :)

Answer:

4 pics of pizza all his friends get and he can also eat

The graph of 5f(x) is shifted 5 units up from the graph of f(x).

A graph is a diagram that represents the variation of a variable in comparison with that of one or more other variables.

In this case, the graph of 5f(x) is shifted 5 units up from the graph of f(x).

Therefore, the correct option is A.

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Answer:

10

Step-by-step explanation:

68 screwdrivers will be leftover at the end of day.

A division is a process of splitting a specific amount into equal parts.

Given that At the Medal Factory, the assembly line produces 98 screwdrivers in a batch.

The screwdrivers are packaged in boxes with 12 each.

If 5 batches are made in one day

We need to find  how many screwdrivers will be leftover at the end of it.

12 screwdrivers in each batch.

So for 5 batches there are 5×12=60 screwdrivers.

The left screwdrivers are 98-60=38

Hence, 68 screwdrivers will be leftover at the end of day.

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The area of the surface is 2π(3√3 - 1). The surface area integral is given by A = ∬D √(1 + (dz/dx)² + (dz/dy)²) dA.

To find the area of the surface that lies within the cylinder x² + y² = 64 and is defined by z = xy, we can use the surface area integral.

The surface area integral is given by:

A = ∬D √(1 + (dz/dx)² + (dz/dy)²) dA

where D represents the region on the xy-plane that corresponds to the surface.

In this case, the region D is the circle with radius 8 (which is obtained by solving x² + y² = 64). To evaluate the integral, we need to determine the partial derivatives dz/dx and dz/dy.

Taking the partial derivative of z with respect to x:

∂z/∂x = y

Taking the partial derivative of z with respect to y:

∂z/∂y = x

Substituting these values into the surface area integral formula:

A = ∬D √(1 + y² + x²) dA

Since D is a circle with radius 8, we can express the integral in polar coordinates. The limits of integration for r are 0 to 8, and the limits of integration for θ are 0 to 2π.

A = ∫₀²π ∫₀⁸ √(1 + r²sin²θ + r²cos²θ) r dr dθ

Simplifying the expression under the square root:

A = ∫₀²π ∫₀⁸ √(1 + r²) r dr dθ

Now we can evaluate the integral:

A = ∫₀²π [(1/3)(1 + r²)^(3/2)]⁸₀ dθ

A = ∫₀²π (1/3)(9√3 - 1) dθ

A = (1/3)(9√3 - 1) ∫₀²π dθ

A = (1/3)(9√3 - 1)(2π - 0)

A = 2π(3√3 - 1)

The area of the surface is 2π(3√3 - 1).

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Answer:

Step-by-step explanation:

1. Make a proportion.

Set the numbers equal to each other.

I chose the numbers 9, 12, 15, and of course x.

Make the fractions in a way that the x is in the numerator if you want to make your life easier.

15/9 = x/12

2. Simplify

Cross multiply the numbers.

This will give you the equation of

9*x and 15*12

3. Make an equation

Simplify the numbers by mulitplying them

9x = 180

4. Divide both sides by 9

9x = 180

/9      /9

Hope this helped,

Kavitha Banarjee

The percentage markup of the scooter is 66.67%

From the question, we have the following parameters that can be used in our computation:

Retail price = $75

Selling price = $125

The percentaage mark up is calculated as

Markup = (Selling - cost)/cost * 100%

Substitute the known values in the above equation, so, we have the following representation

Markup = (125 - 75)/75 * 100%

Evaluate

Markup = 66.67%

Hence, the markup is 66.67%

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The value of the matrix of C²B * C⁻¹ is:

[-20/3 -20]

We have,

Given matrices:

B = [2]

C = [1 3]

We need to compute C²B * C⁻¹, where C⁻¹ represents the inverse of matrix C.

First, let's calculate the inverse of matrix C:

C⁻¹ = \(C^{-1}\)

= [1/(-3) 3/(-3)]

= [-1/3 -1]

Now, let's compute C²B:

C²B = C² * B

= (C * C) * B

= [1 3] * [1 3] * [2]

= [11 + 33] * [2]

= [1 + 9] * [2]

= [10] * [2]

= [20]

Finally, let's compute C²B * C⁻¹:

C²B * C⁻¹ = [20] * [-1/3 -1]

= [-20/3 -20]

Therefore,

The value of the matrix of C²B * C⁻¹ is:

[-20/3 -20]

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The graph illustrates the supply and demand curves on a single graph to represent the equilibrium point in a market. The equilibrium point is where the quantity demanded equals the quantity supplied, resulting in a balance between buyers and sellers.

This point determines the market price and quantity exchanged in the market. The graph demonstrates the interplay between supply and demand, showcasing how changes in these factors can impact the equilibrium point and market outcomes.

The equilibrium point is the intersection of the supply and demand curves on the graph. At this point, the quantity demanded by buyers matches the quantity supplied by sellers. The equilibrium price is determined by the vertical position of the equilibrium point on the graph, while the equilibrium quantity is determined by the horizontal position.

If the market price is above the equilibrium price, there is excess supply, leading to a surplus. Sellers will be motivated to decrease prices to sell their goods, which, in turn, increases the quantity demanded. Conversely, if the market price is below the equilibrium price, there is excess demand, resulting in a shortage. Buyers will be incentivized to bid higher prices, increasing the quantity supplied by sellers.

The equilibrium point represents a state of market balance where the forces of supply and demand are in harmony. It reflects the price and quantity at which both buyers and sellers are satisfied, maximizing the efficiency of resource allocation in the market.

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Answer:

6.98

Step-by-step explanation:

I think that you are looking for the diameter and you are given the area of a circle.

a =\(\pi r^{2}\)  You are given pi, so \(r^{2}\) = 72.

That means that r = \(\sqrt{72}\) or a rounded answer of 8.49 rounded to the hundreds place.  The diameter is equal to 2 radius, so the diameter rounded is 16.98

The perimeter of the larger figure is equal to 20 units as the two figures have a side ratio of 4:3.

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. It can be used to express one quantity as a fraction of the other ones.

We shall represent the perimeter of larger figure with the letter x, so that we express their ratios as fractions and solve for x as follows:

4 : 3 = x : 15

4/3 = x/15

x = (4 × 15)/3 {cross multiplication}

x = 4 × 5

x = 20 units

Therefore, the perimeter of the larger figure is equal to 20 units as the two figures have a side ratio of 4:3.

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Answer:

Step-by-step explanation:

Hey! I would love to help, but the image is dark, and there's no numbers. Was this how the teacher gave it to you?

Answer:

f(x) = (x + 1)((x - 1)^2)(x - 3)

There are 76 oatmeal cookies:

4 + 11 = 15

285/15 = 19

19 × 4 = 76

Therefore: a. The current ratio is approximately 1.68. b. The quick ratio is approximately 0.80. a. Current ratio times is approximately $6,229.68. b. Quick ratio times is approximately $2,968.00.

To calculate the current ratio and quick ratio for SDJ, Inc., we'll use the following formulas:

Current Ratio = Current Assets / Current Liabilities

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Given the information:

Net Working Capital = $3,710

Current Liabilities = $5,500

Inventory = $4,440

a. Current Ratio:

Current Assets = Net Working Capital + Current Liabilities

Current Assets = $3,710 + $5,500 = $9,210

Current Ratio = Current Assets / Current Liabilities

Current Ratio = $9,210 / $5,500

Current Ratio ≈ 1.68

b. Quick Ratio:

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Quick Ratio = ($9,210 - $4,440) / $5,500

Quick Ratio ≈ 0.80

a. Current ratio times:

Current Ratio times = Current Ratio * Net Working Capital

Current Ratio times = 1.68 * $3,710

Current Ratio times ≈ $6,229.68

b. Quick ratio times:

Quick Ratio times = Quick Ratio * Net Working Capital

Quick Ratio times = 0.80 * $3,710

Quick Ratio times ≈ $2,968.00

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Hey there!

”How many hours is 220 minutes​?”

1 hour contains about 60 minutes.

1 minute contains about 60 seconds.

So, in order to find out the amount of hours/minutes of how many hours you have in 220 minutes you have to DIVIDE 220 from 60 and it should give you the exact result or estimation of your result.

220 / 60

= 3.66667

≈ 3 hours 39 minutes

≈ 3 hours 40 minutes

Therefore, your answer is:

3 hours & 39 minutes

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The number of hours in 220 minutes is 3.67 hours.

The given time is 220 minutes.

In math, time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

We know that, 1 hour = 60 minutes

Here, number of hours =  220/60

= 22/6

= 3.67 hours

Therefore, the number of hours in 220 minutes is 3.67 hours.

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The equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

According to the question,

We have the following information:

Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.

Now, we have the following arithmetic progression with common difference, denoted by d:

22, 22.5, 23, 23.5, ...

Formula used to find the nth term:

an = a+(n-1)d where a is the first term

A) 22+(d-1)0.5 = 30

B) The plant still have to grow 8 cm because the difference between 30 and 22 is 8 cm.

C) Value of d:

22+(d-1)0.5 = 30

22+0.5d-0.5 = 30

21.5+0.5d = 30

0.5d = 30-21.5

0.5d = 8.5

d = 8.5/0.5

d = 17

Hence, the equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

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The measure of the third angle of the isosceles triangle is θ = 154°

Given data ,

In an isosceles triangle, two sides are of equal length, and thus two base angles are also of equal measure.

Given that the two base angles of the isosceles triangle are both 13 degrees, we can denote one of the base angles as 13 degrees, and the other base angle as 13 degrees as well.

Let's denote the measure of the third angle as "x" degrees

The sum of angles in any triangle is always 180 degrees.

So , 13 + 13 + x = 180

Simplifying the equation:

26 + x = 180

Subtracting 26 from both sides of the equation:

x = 180 - 26

x = 154°

Hence , the measure of the third angle in the isosceles triangle is 154°

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I'm most familiar with using the internet and browsing the web. As someone who spends a lot of time online, I've become quite comfortable with navigating websites, using search engines, and communicating with others through social media and email. I'm also familiar with basic computer functions like word processing, creating spreadsheets, and organizing files. These are all skills that I've developed over time through practice and daily use.

On the other hand, I know the least about coding and programming. While I understand the basic concepts of coding, I'm not confident in my ability to write code or develop software. To acquire more computer skills in this area, I could take online courses or attend workshops and seminars. I could also practice coding on my own, using online resources and tutorials to guide my learning. By developing my skills in coding and programming, I could open up new career opportunities and become more confident in my ability to use technology.

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Answer: C.

Step-by-step explanation: If I am wong I am sorry !

Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to \(\frac{1}{2}\).

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Conditional probability ' P(B/A)' = P(A∩B) / P(A)

According to the question,

Total number of tiles = 15

Number of while tiles  represented by 'A' = 3

Number of purple tiles represented by 'B' = 7

Number of black tiles= 5

Total number of outcomes = 15 × 14

                                              = 210

Favourable outcome for A = 3 × 14

                                            = 42

Favourable outcomes for A∩B = 3 × 7

                                                   = 21

Probability of A

'P(A)' =  \(\frac{42}{210}\)

Probability of A∩B

'P(A∩B)' = \(\frac{21}{210}\)

Substitute the value in the conditional probability we get,

Probability for P(B/A) = \(\frac{\frac{21}{210}}{\frac{42}{210} }\)

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

Hence, Option(D) is the correct answer.

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The critical numbers of the function h(p) = (p - 1) / (p^2 - 5) are "dne" (does not exist).

To find the derivative of h(p), we can apply the quotient rule. Taking the derivative, we have:

h'(p) = \([(p^2 - 5)(1) - (p - 1)(2p)] / (p^2 - 5)^2\)

Simplifying this expression, we get:

h'(p) = \((p^2 - 5 - 2p^2 + 2p) / (p^2 - 5)^2\)

= \((-p^2 + 2p - 5) / (p^2 - 5)^2\)

To find the critical numbers, we set h'(p) equal to zero and solve for p:

\(-p^2 + 2p - 5 = 0\)

However, this quadratic equation does not factor easily. We can use the quadratic formula to find the solutions:

p = (-2 ± √\((2^2 - 4(-1)(-5))) / (-1)\)

p = (-2 ± √(4 - 20)) / (-1)

p = (-2 ± √(-16)) / (-1)

Since the discriminant is negative, the equation has no real solutions. Therefore, the critical numbers of the function h(p) = (p - 1) / (\(p^2\) - 5) are "dne" (does not exist).

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A 98% confidence interval for the proportion of New York state union members who favor the Republican candidate is constructed using: p ± zsqrt(p(1-p)/n). Substituting, we get (0.3051, 0.4416), or approximately (a) 0.304p0.442.

To construct a 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate, we can use the following formula:

p ± z*sqrt(p*(1-p)/n)

where p is the sample proportion, n is the sample size, and z* is the critical value from the standard normal distribution corresponding to a 98% confidence level, which is approximately 2.33.

Substituting the values from the problem, we get:

p ± 2.33*sqrt(p*(1-p)/n)

p = 112/300 = 0.37333

n = 300

Substituting these values, we get:

0.37333 ± 2.33*sqrt(0.37333*(1-0.37333)/300)

Simplifying, we get:

0.37333 ± 0.0682

Therefore, the 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate is:

(0.3051, 0.4416)

Rounding to three decimal places, the answer is (a) 0.304p0.442.

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a) N = 2^8 = 256

b)N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1

Given;

String of length 8, with two options (0 or 1) each.

a) for the number of bits of strings of length 8.

Each digit of the 8 digit string has 2 options.

For 8 digit, we have

N = 2×2×2.... = 2^8 =256

b) for bit of strings of length 8 or less.

For n string = 2^n

For n < 8

The number of bit strings for length 8 or less are;

N = N8 +N7 + N6 + ... +N1

N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1

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The probability of a random individual having monkeypox if the test yields a negative result was calculated to be 0.02%.

The Bayes methodology is a statistical technique used to calculate the probability of an event based on prior knowledge of related events.

According to the given problem, the probability of an individual contracting monkeypox is 1 in 32,000. The test for monkeypox yields a positive score in 98% of cases if you have the virus. If you do not have the virus, the test for monkeypox yields a negative result in 94% of cases.

Using the Bayes approach, the probability of a random individual having monkeypox if the test yields a negative result can be computed as follows:First, we can calculate the probability of having monkeypox given a positive test result:

Probability of having monkeypox given a positive test result

P(Monkeypox ∣ Positive) = P(Positive ∣ Monkeypox) × P(Monkeypox)

P(Positive ∣ Monkeypox) × P(Monkeypox) + P(Positive ∣ No Monkeypox) × P(No Monkeypox)

P(Positive ∣ Monkeypox) = 0.98

P(Monkeypox) = 1/32000

P(Positive ∣ No Monkeypox) = 1 – 0.94 = 0.06

P(No Monkeypox) = 1 – 1/32000= 31999/32000

P(Monkeypox ∣ Positive) = (0.98 × 1/32000) / (0.98 × 1/32000 + 0.06 × 31999/32000)≈ 0.0026 or 0.26%

Next, we can calculate the probability of not having monkeypox given a negative test result:

Probability of not having monkeypox given a negative test result

P(No Monkeypox ∣ Negative) = P(Negative ∣ No Monkeypox) × P(No Monkeypox)

P(Negative ∣ Monkeypox) × P(Monkeypox) + P(Negative ∣ No Monkeypox) × P(No Monkeypox)

P(Negative ∣ No Monkeypox) = 0.94

P(Negative ∣ Monkeypox) = 1 – 0.98 = 0.02

P(No Monkeypox ∣ Negative) = (0.94 × 31999/32000) / (0.94 × 31999/32000 + 0.02 × 1/32000)≈ 0.9998 or 99.98%

Therefore, the probability of a random individual having monkeypox if the test yields a negative result is:

P(Monkeypox ∣ Negative) = 1 – P(No Monkeypox ∣ Negative)≈ 0.0002 or 0.02%

According to the Bayes methodology, individuals update their beliefs based on prior knowledge of related events. People will choose to use the Bayes methodology to calculate probabilities if they are aware of the related events and have prior knowledge of them.

The Bayes approach provides a way to update beliefs and to incorporate new information into the existing knowledge base. This statistical technique is beneficial for making informed decisions and determining the likelihood of events based on prior knowledge.

Bayes theorem is used in many fields, including medicine, finance, and insurance. The decision to use the Bayes methodology is rational and informed because it relies on prior knowledge and evidence-based reasoning. People who use the Bayes methodology are more likely to make informed decisions based on the available data and evidence. The Bayesian approach is a rational and effective way to update beliefs and calculate probabilities

In conclusion, the Bayes methodology is a statistical technique used to calculate the probability of an event based on prior knowledge of related events. By using Bayes theorem, the probability of a random individual having monkeypox if the test yields a negative result was calculated to be 0.02%. People who use the Bayes methodology are rational and informed, as they rely on prior knowledge and evidence-based reasoning to make informed decisions. The Bayesian approach is a rational and effective way to update beliefs and calculate probabilities.

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Given that the number of accidents per week at an industrial plant follows a Poisson distribution with λ = 5. The numbers of workers injured in each accident are independent random variables with a common mean of 3 and variance 1. The number of workers injured in each accident is independent of the number of accidents that occur.

We know that mean of a Poisson distribution is λ and the variance of Poisson distribution is also λ. Therefore,

Expected value of N = λ = 5

Since the expected number of workers injured in each accident = 3, the expected value of S = Expected value of N * expected value of the number of workers injured per accident= 5 * 3= 15

Hence, the expected number of injuries during a week is 15.

However, it is given that variance of the number of workers injured per accident is 1.

Var(N) * Var(X)

= Var(S)5 * 1

= Var(S)Var(S)

= 5

Hence, the variance of the injured during the week is 5.Therefore, ES=15 (True), Var S=5 (True).

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Answer:

6:18 i think

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

For a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

Given,

The conditions

We know,

Median is the middle number of ordered data set.

Consider the number of observations as x

Then the median is located at \(\frac{x+1}{2}\)

Hence, for a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

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Answer:

I'm not sure what the question is actually asking but 26% of the profit is 366.60

Step-by-step explanation:

if u subtract the profit, u have 1043.40 remaining