(02.01)line segment cd has a length of 3 units. it is translated 2 units to the right on a coordinate plane to obtain line segment c'd'. what is the length of c'd'? 1 unit 2 units 3 units 5 units

According to the information we can infer that the greater area is the striped region.

To calculate what is the greater area we have to calculate the area of each segment of the target. Fist we can calculate the area of the striped region.

Then we have to calculate the area of the shaded region with the following procedure:

According to the above, the striped area has the greater area.

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There are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.

There are two different types of license plates that can be made: one with three letters followed by three digits and one with four letters followed by two digits. To find the total number of different license plates that can be made, we need to calculate the number of possibilities for each type of license plate and then add them together.

For the first type of license plate (three letters followed by three digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 10 × 10 × 10 = 17,576,000
For the second type of license plate (four letters followed by two digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 26 × 10 × 10 = 45,697,600

Adding these two numbers together gives us the total number of different license plates that can be made:
17,576,000 + 45,697,600 = 63,273,600
Therefore, there are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.

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The inequality that represents all the solutions of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4

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

-2(3x + 6) ≥ 4(x + 7)

Divide both sides of the inequality by -2

So, we have the following representation

3x + 6 ≤ -2(x + 7)

Open the brackets

This gives

3x + 6 ≤ -2x - 14

Add 2x to both sides of the inequality

So, we have the following representations

5x + 6 ≤ -14

Subtract 6 from both sides of the inequality

So, we have the following representations

5x ≤ -20

Divide both side of the inequality

x ≤ -4

Hence, the solution is x ≤ -4

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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Answer:

2000 pounds is 1 ton

6 tons is 12,000

7 tons is 14,000

16,000 pounds is 8 tons

Correct question is;

Peter wants to make four necklaces that are the same way. He asked his friends to cut the string for the necklace 15 paper clips long. Would all the lengths be the same? Explain your think

Answer:

No, the lengths would not be the same. This is due to the fact the the paper clips could be in different sizes.

Step-by-step explanation:

We are told that he wants to make four necklaces that are the same way and that he told his friends to cut the string for the necklace 15 paper clips long.

Now, we are not told the sizes of the paper clips and we know that paper clips come in different sizes. Thus the paper clips in which the strings are cut could be in different sizes. Therefore, the lengths wouldn't be the same due to that.

Answer:

In factor form, the answer is ---> 8a^2b

Step-by-step explanation:

2³a²b

= (2^3) (a^2) b

= 8a^2b

The area of a two-dimensional cross-section depends on the shape it represents, such as a square, rectangle, triangle, circle, or any other polygon. Each shape has its own formula for calculating its area.

In order to determine the area of the cross-section, we need additional information such as the shape of the cross-section, its dimensions, or any other relevant details. Without this information, it is not possible to calculate the area. Please provide more details or a specific shape or scenario so that an accurate answer can be generated. Once the shape is specified, the appropriate formula can be applied to calculate the area.

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The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer: 5,2 2,3 2,2

Step-by-step explanation:

Answer:4.12

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

This shows that if s is doubled and h tripled, then V multiplied by 12

Given the formula below expressed as:

V = s²h

If s is doubled and h tripled, the new volume will ne:

V1 = (2s)² * 3h

V2 = 4s² * 3h

V2 = 12s²h

V2 = 12V

This shows that if s is doubled and h tripled, then V multiplied by 12

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The correct answer is (D) A and B. Both a run of six points or more and an astronomical point can be rules for determining non-random patterns.

A run of six points or more refers to a sequence of data points that share a common characteristic or exhibit a consistent trend.

In statistical analysis, a run is a consecutive sequence of data points above or below a certain threshold. If there is a run of six points or more in a dataset, it suggests a non-random pattern or trend.

An astronomical point refers to a data point that significantly deviates from the expected pattern or falls outside the normal range of values. This point stands out as an outlier and may indicate a non-random pattern in the data.

By combining these two rules, A and B, we can identify non-random patterns in a dataset. A run of six points or more indicates a sustained trend, while an astronomical point signifies a significant deviation from the expected pattern.

It's important to note that a trend of three points or fewer, as mentioned in option (C), does not provide enough evidence to determine a non-random pattern. A trend of three points or fewer may still be subject to randomness or noise in the data, and it is not considered statistically significant.

Therefore, the correct answer is option (D) A and B, as both a run of six points or more and an astronomical point can help identify non-random patterns in data.

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The new figure after the revolution is a cylinder of radius 5 and length 8

The volume is 200π

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

The graph

The shape on the graph is a rectangle with

length = 5

width = 8

When revolved across the x-axis, we have the shape to be

A cylinder of radius 5 and length 8 (option a)

This is calculated as

V = πr²h

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

V = π * 5² * 8

Evaluate

V = 200π

Hence, the volume is 200π

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Answer:

86 in

Step-by-step explanation:

A foot is 12 inches long. We know that there are 14 inches when we add the 5 from the red ribbon and 9 from the blue. Next, we can multiply 6 x 12 since there are 12 inches per foot. This gets us 72 inches. We can then add our 14 inches from earlier to 72. 72+14=86 So our answer is 86. Hope this helps :)

The function (f∘g)(x) is found by substituting g(x) into f(x). So, (f∘g)(x) = f(g(x)). To find (f∘g)(x), we substitute g(x) into f(x): f(g(x)) = f(3x+9) = 1/(3x+9).

The domain of (f∘g)(x) is the set of all x-values for which the function is defined. In this case, the function 1/(3x+9) is defined for all x-values except for the values that make the denominator equal to zero. So, we need to find the x-values that make 3x+9 equal to zero: 3x+9 = 0. Solving this equation, we get x = -3. Therefore, the domain of (f∘g)(x) is (-∞, -3) U (-3, +∞).

To find (g∘f)(x), we substitute f(x) into g(x): g(f(x)) = g(1/x) = 3(1/x) + 9 = 3/x + 9.

The domain of (g∘f)(x) is the set of all x-values for which the function is defined. In this case, the function 3/x + 9 is defined for all x-values except for the values that make the denominator equal to zero. So, we need to find the x-values that make x equal to zero. Since the denominator of 3/x + 9 is x, x cannot be zero. Therefore, the domain of (g∘f)(x) is (-∞, 0) U (0, +∞).

To find (f∘f)(x), we substitute f(x) into f(x): f(f(x)) = f(1/x) = 1/(1/x) = x.

The domain of (f∘f)(x) is the set of all x-values for which the function is defined. In this case, the function x is defined for all real numbers. Therefore, the domain of (f∘f)(x) is (-∞, +∞).

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Answer:

yes they ar op b

Step-by-step explanation:

The posterior PMF of the number of questions Nefeli knew the answer to, given that she answered 6 out of 10 questions correctly, is: \(P(K=k|6 correct answers) = (k choose 6) / (3^k)\), for k = 0 to 6, and 0 otherwise.

To determine the posterior probability mass function (PMF) of the number of questions Nefeli knew the answer to, given that she answered 6 out of 10 questions correctly, we can use Bayesian inference and apply the concept of conditional probability.

Let's define the following variables:

- K: The number of questions Nefeli knew the answer to.

- G: The number of questions Nefeli guessed the answer to.

We want to find the PMF of K, given that she answered 6 questions correctly. This can be expressed as P(K | 6 correct answers).

By Bayes' theorem, we have:

P(K | 6 correct answers) = P(6 correct answers | K) * P(K) / P(6 correct answers)

Let's break down each term:

1. P(6 correct answers | K):

  If Nefeli knew the answer to K questions, the probability of getting 6 correct answers out of K is given by the binomial distribution. The probability of answering a question correctly is 1 since she knows the answer, so the probability of getting 6 correct answers out of K is \((K choose 6) * (1^6) * (0^{(K-6)})\), where (K choose 6) is the binomial coefficient.

 \(P(6 correct answers | K) = (K choose 6) / 3^K\)

2. P(K):

  The prior probability of Nefeli knowing the answer to K questions. Since each question is independent, we can assume a uniform prior distribution, where P(K) is constant for all possible values of K.

  P(K) = 1 / (total number of possible values of K)

3. P(6 correct answers):

  The marginal probability of getting 6 correct answers, regardless of the number of questions Nefeli knew the answer to. This can be calculated by summing the joint probabilities over all possible values of K and G.

  P(6 correct answers) = Σ[over all possible values of K and G] P(6 correct answers | K, G) * P(K) * P(G)

To compute the marginal probability P(6 correct answers), we need to consider all possible combinations of K and G that satisfy K + G = 10 (since there are 10 questions in total). We will iterate over all possible values of K and G and calculate the corresponding joint probability P(6 correct answers | K, G) * P(K) * P(G). Finally, we normalize these probabilities to obtain the posterior PMF.

Here's a Python code snippet that computes the posterior PMF:

```python

import math

def binomial_coefficient(n, k):

   return math.factorial(n) // (math.factorial(k) * math.factorial(n - k))

def posterior_pmf_of_k(k, correct_answers):

   return (binomial_coefficient(k, correct_answers) * (1/3) ** k)

def compute_posterior_pmf(correct_answers):

   pmf = {}

   total_p = 0

   for k in range(correct_answers + 1):

       g = correct_answers - k

       p = posterior_pmf_of_k(k, correct_answers)

       pmf[k] = p

       total_p += p

   for k in pmf:

       pmf[k] /= total_p

   return pmf

correct_answers = 6

posterior_pmf = compute_posterior_pmf(correct_answers)

print(posterior_pmf)

The `posterior_pmf` dictionary will contain the posterior probabilities for each possible value of K. The output will show the posterior PMF for the number of questions Nefeli knew the answer to, given that she answered 6 out of 10 questions correctly.

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The complete question is:

Nefeli. a student in a probability class, takes a multiple-choice test with 10 questions and 3 choices per question. For each question. there are two equally likely possibilities, independent of other questions: either she knows the answer, in which case she answers the question correctly. or else she guesses the answer with probability of success 1/3. Given that Nefeli answered correctly 6 out of the 10 questions, what is the posterior PMF of the number of questions of which she knew the answer?

The numerical length of CE is 58 units

The given parameters are

CD = 9x - 7

DE = 3x + 17

Because the midpoint is point D, we have

CD = DE

This gives

9x - 7 = 3x + 17

Evaluate the like terms

6x = 24

Divide both sides by 6

x = 4

Substitute x = 4 in DE = 3x + 17

DE = 3 x 4 + 17

Evaluate

DE = 29

So, we have

CE = 2 * DE

This gives

CE = 2 * 29

Evaluate

CE = 58

Hence, the numerical length of CE is 58 units

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Given that D is the midpoint of CE, the numerical value of segment CE is 58.

A midpoint is simply a point that divides a segment into two equal halves.

Given the data in the question;

Since D is the midpoint of CE, D divides segment CE into two equal halves.

Hence;

Segment CD = Segment DE

9x - 7 = 3x + 17

Solve for x

9x - 7 = 3x + 17

9x - 3x = 17 + 7

6x = 17 + 7

6x = 24

x = 24/6

x = 4

Now, the numerical value of segment CE will be;

Segment CE = segment CD + segment DE

segment CE = (9x - 7) + (3x + 17)

segment CE = (9(4) - 7) + (3(4) + 17)

segment CE = ( 36 - 7 ) + ( 12 + 17 )

segment CE = 29 + 29

segment CE = 58

Given that D is the midpoint of CE, the numerical value of segment CE is 58.

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Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

Answer:

21

Step-by-step explanation:

5 × 6 = 30

30 -9= 21

Therefore The Answer Is Going To Be 21

Answer:

21

Step-by-step explanation:

5m-9

M=6

5(6)-9

Use Order of Operations

PEMDAS

Multiply to reduce:

30-9

Subtract:

21

The answer is 21.

Answer:

m= -3/2

Step-by-step explanation:

I hope this helps

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

To determine the minimum score needed to ensure that you are in the top 7%, we need to find the z-score associated with the top 7% and then convert it back to the raw score.

The top 7% corresponds to an area of 0.07 under the standard normal distribution curve. To find the z-score associated with this area, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table or calculator, we find that the z-score corresponding to an area of 0.07 is approximately 1.4051.

To convert this z-score back to the raw score, we can use the formula:

x = z * standard deviation + mean

Substituting the values into the formula, we get:

x = 1.4051 * 100 + 500

x ≈ 140.51 + 500

x ≈ 640.51

Therefore, the minimum score needed to ensure that you are in the top 7% is approximately 640.51.

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