In the circle below, AB is parallel to CD, AD is a diameter of the circle, and AD = 36.What is the length of AB? Express your answer in terms of pi.

rise/run 1/4 so it can be

Answer:1/4

Step-by-step explanation:

We first calculate the z-score:

z = (0.517 - 0.61) / sqrt((0.61 * (1 - 0

To solve these probability questions, we need to use the central limit theorem, which states that if we have a large enough sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the population distribution.

For a sample of size n, the mean of the sample proportion (p) is equal to the population proportion (p), and the standard deviation of the sample proportion (σp) is equal to:

σp = sqrt((p(1-p))/n)

Using this information, we can standardize the sample proportion using z-score:

z = (p - p) / σp

Then, we can use the standard normal distribution table (such as Appendix A Statistical Tables) to find the probabilities.

a) What is the probability that the sample proportion is greater than 0.643?

We first calculate the z-score:

z = (0.643 - 0.61) / sqrt((0.61 * (1 - 0.61)) / 656) = 3.17

Using the standard normal distribution table, the probability of getting a z-score greater than 3.17 is approximately 0.0008.

Therefore, the probability that the sample proportion is greater than 0.643 is 0.0008.

b) What is the probability that the sample proportion is between 0.60 and 0.647?

We need to calculate the z-scores for both values:

z1 = (0.60 - 0.61) / sqrt((0.61 * (1 - 0.61)) / 656) = -1.23

z2 = (0.647 - 0.61) / sqrt((0.61 * (1 - 0.61)) / 656) = 1.79

Using the standard normal distribution table, the probability of getting a z-score between -1.23 and 1.79 is approximately 0.8438.

Therefore, the probability that the sample proportion is between 0.60 and 0.647 is 0.8438.

c) What is the probability that the sample proportion is greater than 0.607?

We first calculate the z-score:

z = (0.607 - 0.61) / sqrt((0.61 * (1 - 0.61)) / 656) = -0.73

Using the standard normal distribution table, the probability of getting a z-score greater than -0.73 is approximately 0.7665.

Therefore, the probability that the sample proportion is greater than 0.607 is 0.7665.

d) What is the probability that the sample proportion is between 0.57 and 0.597?

We need to calculate the z-scores for both values:

z1 = (0.57 - 0.61) / sqrt((0.61 * (1 - 0.61)) / 656) = -4.13

z2 = (0.597 - 0.61) / sqrt((0.61 * (1 - 0.61)) / 656) = -1.08

Using the standard normal distribution table, the probability of getting a z-score between -4.13 and -1.08 is approximately 0.0361.

Therefore, the probability that the sample proportion is between 0.57 and 0.597 is 0.0361.

e) What is the probability that the sample proportion is less than 0.517?

We first calculate the z-score:

z = (0.517 - 0.61) / sqrt((0.61 * (1 - 0

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Answer:

Each students provides 13 pounds of meal

Step-by-step explanation:

Total students in Ms. Lee class = 220

Total pounds of food collected = 2,860

how many meals did each student provide?

Meals provided by each student = Total pounds of food collected / total number of students

= 2,860 / 220

= 13 pounds

Each students provides 13 pounds of meal

Note: 1.2 pounds of food equals one meal

1.2 pounds : 1 meal = 13 pounds : x meals

1.2/1 = 13/x

1.2 * x = 1 * 13

1.2x = 13

x = 13 / 1.2

= 10.83 meals

Approximately 11 meals to the nearest number

Note:1 kilogram is 2.2 pounds

1 kg : 2.2 pounds = x kg : 13 pounds

1/2.2 = x / 13

1 * 13 = 2.2 * x

13 = 2.2x

x = 13/2.2

= 5.91 kilogram

Approximately x = 6 kilograms

Answer:

diameter = 10

Step-by-step explanation:

the calculation find the radius, multiply by 2

please give thanks :)

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

Step 2 : Define parameters

Step 3: Substitute the parameters into the equation

The given statement "two infinite sets are shown to be countable by Cantor's diagonalization proof" is TRUE.

Therefore, the given statement "two infinite sets are shown to be countable by Cantor's diagonalization proof" is TRUE.

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Answer:

m = 2, c = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 2x = - 3 ( add 2x to both sides )

y = 2x - 3 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 3

Given A = (1,2,3) and B = (1,0,1).We have to find a unit vector that is perpendicular to both A and B. Let the vector be C = (x, y, z) .Now the vector C should be perpendicular to both A and B.

Vector C should be perpendicular to A ⟹ A·C = 0⟹(1,2,3)·(x,y,z) = 0⟹x + 2y + 3z = 0.Vector C should be perpendicular to B ⟹ B·C = 0⟹(1,0,1)·(x,y,z) = 0⟹x + z = 0. Solving these two equations we get x = -z/3 and y = 2z/3.

Substituting this in C, we get C = (-z/3, 2z/3, z) .Now, the magnitude of C is 1.C·C = 1⟹(z²)/9 + (4z²)/9 + z² = 1⟹6z² = 9⟹z² = 3/2.We can choose z = √(3/2) . Therefore C = (-1/√6, 2/√6, 1/√6) is a unit vector perpendicular to both A and B. Answer: Unit vector perpendicular to both A and B is C = (-1/√6, 2/√6, 1/√6).

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B

When you plug in x=2 into y=x+2, y=4

The coordinates of vertex B' are (-1,3)

Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.

Analysis:

When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.

So vertex B' is a reflected vertex along the y- axis since it is at x=2

The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3

so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.

So the coordinates of vertex B' are (-1,3)

In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)

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Answer:

103.23 square feet

Step-by-step explanation:

Area of the largest room = length × width

Each centimeter was equal to 1.5 feet

7.4 cm = 1.5 × 7.4 = 11.1 feet

6.2 cm = 1.5 × 6.2 = 9.3 feet

Length = 11.1 feet

Width = 9.3 feet

Area of the largest room = length × width

= 11.1 feet × 9.3 feet

= 103.23 square feet

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

x=10

5x=50

2x=20

Step-by-step explanation:

110+5x+2x = 180  combine like terms and move the constants to the same side

7x=70

x = 10

5(10) = 50

2(10) = 20

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Properties of determinants are Reflection Property, Reliable scales Property, Scalar Multiple Property, Switching Property and All-zero Property.

1. Reflection Property: The determinant remains unchanged when its columns turn into rows and vice versa. The reflection property is what is used to describe this.

2. If every element in a row (or column) is zero, the determinant is zero, according to the all-zero property.

3. Reliable scales (Repetition) Property: If every element in a row or column is proportional to or identical to every element in another row, the determinant is zero (or column).

4. When any two of the determinant's rows (or columns) are exchanged, the sign of the determinant changes.

5. Scalar Multiple Property: If all of a determinant's components in a row (or column) are multiplied by a non-zero constant, the determinant is multiplied by that constant.

6. Factor Property: If a determinant Δ becomes zero when we put x = α, then (x – α) is a factor of Δ.

Hence this is all about determinants problems.

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A triangle with given sides (2, 2, 3), and (3, 5, 6) is an obtuse triangle and can be determined using the Pythagorean theorem.

Given :

The sides of the triangle are 6 cm, 10 cm and 12 cm.

To determine which three numbers represent the sides of an obtuse triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, the square of the third side equals the sum of the squares of the short sides of a right triangle. That is:

    (H)² = (P)² + (B)²

Obtuse Triangle:

An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the sum of the other two angles is less than 90°.

Obtuse triangle condition:   (P)² + (B)² < (P)²

Applying the obtuse triangle condition in option a) ( 4,7,8) is more than 8² .This means 4²+ 7²= 65 < 64. So option A) represents not an obtuse triangle.

Apply obtuse triangle condition in option B) (3,4,5) :

3² + 4² = 25

This is the same. Therefore, option B) does not represent an obtuse triangle.

Option C) applies the obtuse triangle condition: (2,2,3)

therefore, 2² + 2² < 3²

This is less than 3². So option C) represents an obtuse triangle. Apply

Option D) obtuse triangle condition greater than

Option D) (6,8,9) represents: 6² + 8² > 9²

Therefore, option D) does not represent an obtuse triangle.

Applying the obtuse triangle condition in option E) (3,5,6)

Which represents: 3² + 5² < 6²

This is less than 6².                                      

Therefore, option E) represents an obtuse triangle.

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The graph in option A represents the situation best.

The children are making $1 for every cup they sell.

This means that there is a set rate of increase whenever they sell a cup which means that their profit will increase whenever the number of sups sold increases.

Graph A is therefore the best option because it shows that whenever a extra cup is sold, more profit is made.

The other options are wrong because:

In conclusion, option A represents the situation best.

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Yes, there will be a collision between Speedy Sue's car and the slow-moving van in the tunnel. The collision will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

To determine whether there will be a collision, we need to calculate the time it takes for Speedy Sue to reach the van and compare it with the time it takes for the van to exit the tunnel.

First, we calculate the time it takes for Sue to reach the van. The relative velocity between Sue and the van is (33.0 m/s - 5.40 m/s) = 27.6 m/s. Using the formula time = distance / velocity, the time it takes for Sue to reach the van is approximately 175 m / 27.6 m/s ≈ 6.34 seconds.

Next, we calculate the time it takes for the van to exit the tunnel. The distance the van needs to travel to exit the tunnel is the sum of the distance from its initial position to the end of the tunnel and the distance Sue needs to travel to reach the end of the tunnel. The total distance is 175 m + 175 m = 350 m. The velocity of the van is 5.40 m/s. Using the formula time = distance / velocity, the time it takes for the van to exit the tunnel is approximately 350 m / 5.40 m/s ≈ 64.81 seconds.

Since 6.34 seconds is less than 64.81 seconds, Sue will collide with the van before it exits the tunnel. To determine the distance into the tunnel where the collision occurs, we subtract the distance Sue travels in 6.34 seconds from the initial distance between Sue and the van. The distance Sue travels is (33.0 m/s - 1.90 m/s^2 * 6.34 s^2 / 2) * 6.34 s ≈ 146.5 meters.

Therefore, the collision between Sue's car and the van will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

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The table does not represent a discrete probability distribution because one of the probability values is negative (-0.3).

To be a discrete probability distribution, the probabilities associated with each value in the distribution must meet certain conditions. These conditions include:

Each probability must be non-negative.

The sum of all probabilities must equal 1.

In the given table, all the probabilities except for the last one (-0.3) are non-negative, which satisfies the first condition. However, the probability of -0.3 violates the requirement that probabilities must be non-negative.

As a result, the table does not represent a discrete probability distribution because it fails to meet the condition of having non-negative probabilities. The presence of a negative probability value indicates an error or an inconsistency in the data.

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Answer:

12

Step-by-step explanation:

The slope of line thorough point  (0,-2) and (2, 2) is 2.

A line's slope can be used to determine a line's direction and steepness. Without actually using a compass, determining the slope of lines in a coordinate plane can help infer whether the lines are parallel, perpendicular, or none at all.

Any line's slope can be calculated using just two clearly separated points along the path. The slope of a line formula compares the "vertical change" to the "horizontal change" in each case when two different points on a line are taken into account.

The slope of the line is given by the point-slope formula

\(m =\frac{y_2 -y_1 }{x_2 - x_1}\)

we have (x1,y1) = (0,-2) and (x2,y2) = (2, 2)

Substituting the values we get

\(m =\frac{2 -(-2) }{2 - 0}\)

m = 4/2

m = 2

Thus, The slope of line thorough point  (0,-2) and (2, 2) is 2.

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Answer:

None of the above

Step-by-step explanation:

Answer:

the picture isn't loading :(

Step-by-step explanation:

The number of batches of cookies the factory made was 6.

Since, The fractions are represented as a numerical value, which defines a part of a whole. A fraction is a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that,

a cookie factory uses 1 1/5 of a barrel of oatmeal in each batch of cookies.

And, The factory is use 9 3/5 of a barrel of oatmeal yesterday.

Now, We can formulate;

Number of batches of cookies did the factory make,

= 9 3/5 ÷  1 1/5

= 48/5 ÷ 6/5

= 48/5 x 5/6

= 6

Therefore, the number of batches of cookies the factory made was 6.

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The null hypothesis is that the mean speed of the cable Internet connection is equal to or less than three Megabits per second (H0: μ ≤ 3). The alternative hypothesis is that the mean speed is greater than three Megabits per second (Ha: μ > 3).

Based on the terms provided and the context of the question, we can establish the null and alternative hypotheses as follows:

1. Null Hypothesis (H0): The mean speed (µ) of your cable Internet connection is equal to 3 Megabits per second. Mathematically, this is expressed as H0: µ = 3.

2. Alternative Hypothesis (H1): The mean speed (µ) of your cable Internet connection is greater than 3 Megabits per second. Mathematically, this is expressed as H1: µ > 3.

The alternative hypothesis is that the mean speed is greater than three Megabits per second (Ha: μ > 3).

To summarize, your null hypothesis (H0) states that the mean speed of your Internet connection is 3 Megabits per second, while your alternative hypothesis (H1) states that the mean speed is greater than 3 Megabits per second.

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The true statement is option A. The probability of buying fiction versus nonfiction is the same regardless of whether or not the person buys a hardcover or paperback.

What is the Independents events?

Independents events are events whose occurrence do not depend on each other. They are random events. It means that the probability of one event happening does not depend on a prior event.

According to the given question,

We have the given options in the question:

The options are:

A. The probability of buying fiction versus nonfiction is not the same

regardless of whether or not the person buys a hardcover or

paperback.

B. The probability of buying fiction versus nonfiction is the same

regardless of whether or not the person buys a hardcover or

paperback.

C. The probability of buying a paperback is the largest probability.

D. The probability of buying a hardcover is the smallest probability.

We can see that in the given diagram the required answer is option A.

Therefore, the true statement is option A.

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The equivalence of the remainder following the division of 17 and 30 by N indicates that the largest value N can have is 30

The remainder term in a division of one value by a second value is the value which is less than the divisor, remaining after the divisor divides the dividend by a number of times indicated by the quotient.

The remainder following the division of 17 and 30 by the number N are the same.

Let R represent the remainder following the division of the integers 17 and 30 and let b represent the number of times N divides 30 than 17. Using the long division formula, we get;

17/N = Q + R/17

30/N = b·Q + R/17

30/N - 17/N = 13/N

The substitution property indicates that we get the following equation;

30/N - 17/N = b·Q + R/17 - (Q + R/17) = b·Q - Q

30/N - 17/N = b·Q - Q

13/N = b·Q - Q = (b - 1)·Q

13/N = (b - 1)·Q

The fraction 13/N which is equivalent to the product of (b - 1) and Q indicates that N is a factor of 13

13 is a prime number, therefore, the factors of 13 are 13 and N

Therefore, the possible values of N are 13 and 1

The largest value N can have is therefore, 13

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Using proportions, that is, finding 25% of 12 km, it is found that she has already biked 3 km on Tuesday.

A proportion is a fraction of a total amount.

In this problem, she has already biked 25% out of her goal of 12 km, hence the distance that she has biked is given by:

d = 0.25 x 12 = 1/4 x 12 = 3 km.

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