Solve the following absolute value equations. Show the solution set.

1/2=1/3-|(x-3/6)+x|

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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To find a parametric equation for the line of intersection of two planes, we need to solve a system of equations formed by the equation of the two planes.

To find a parametric equation for the line of intersection of two planes, we need to solve a system of equations formed by the equation of the two planes. The equation of a plane is given by Ax + By + Cz + D = 0, where A, B, C and D are constants. We can then form a system of equations by equating the coefficients of x, y and z from both equations. Solving the system of equations gives the parametric equation of the line of intersection of the two planes. The parametric equation can be written as x = x0 + at, y = y0 + bt, and z = z0 + ct, where x0, y0 and z0 are constants and a, b, and c are non-zero constants. This equation gives the coordinates of any point on the line of intersection of the two planes, which is determined by the constants x0, y0, z0 and a, b, c.

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(a) To construct a spreadsheet simulation model, we will use the given probabilities for each category of RSVPs and simulate multiple scenarios to estimate the expected number of guests who will attend the reception. Here's how we can set up the simulation model:

Create the following columns in the spreadsheet:

RSVPs: Number of RSVPs (0, 1, 2, No response)

No. of Invitations: Number of invitations for each RSVP category

Solo Attendees: Number of guests attending alone

Companion Attendees: Number of guests attending with a companion

Total Attendees: Total number of guests attending (Solo + Companion)

Fill in the "RSVPs" column with the respective categories (0, 1, 2, No response).

Fill in the "No. of Invitations" column based on the given information (50, 25, 60, 10).

For each RSVP category, calculate the expected number of attendees based on the given probabilities:

Solo Attendees: Multiply the number of invitations by the probability of attending alone.

Companion Attendees: Multiply the number of invitations by the probability of attending with a companion.

Calculate the "Total Attendees" column by summing up the Solo Attendees and Companion Attendees.

Repeat steps 4 and 5 for multiple iterations (e.g., 1000 iterations) to simulate different scenarios.

Calculate the average of the "Total Attendees" over the iterations. This will give you the expected number of guests who will attend the reception.

(b) To determine the minimum number of guests (X) for which the caterer should prepare the meal, so that there is at least a 90% chance that the actual attendance is less than or equal to X, we can use a Monte Carlo simulation model. Here's how we can estimate X:

Perform the same simulation as in part (a) to generate the distribution of the total number of attendees.

Sort the simulated total attendance values in ascending order.

Determine the value of X such that P(X ≥ X) is closest to but less than 90%.

X represents the minimum number of guests for which the caterer should prepare the meal.

From the provided options, the best estimate for the value of X is "P(X ≥ 140) ≈ 89% and P(X ≥ 141) ≈ 93%".

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Answer:

72

2s+3l

Step-by-step explanation:

for first answer,

15×2+ 14× 3 = 30+ 42=72

for second answer,

2 ×s + 3×l

= 2s+3l

Answer:

5+n/4

Step-by-step explanation:

the quotient is the number you get after dividing a number by four, you add 5 earlier in the equation so it is seperate from the division itself

The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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Answer:

It would take you almost 17 days driving at 100 km/hour, 24 hours a day to ... Circumference of the Earth in inches: 1,577,727,360 inches.

Step-by-step explanation:

The answer to the given statement is as follows:

It is inappropriate to apply the Empirical Rule to a population that is right-skewed

b. False.

The given statement is false because the rule of thumb, also known as the 68-95-99.7 rule, is a statistical rule that applies to the normal distribution. This rule was lost in our sample, with about 68% of the data falling within one standard deviation of the mean for a normal distribution, and about 95% of the data falling within two standard deviations from the mean, and about 99.7% of the data being lost in our sample. The deviation from the mean is the difference between the mean of the standard deviation.

Although the rule of thumb is most true for symmetric normal distributions, it can also be used for distributions, including right-skewed distributions.

However, as the distribution becomes more skewed, the rule of thumb may not be correct. In a right-skewed distribution, the mean is greater than the median and the tails of the distribution are to the right. In such a distribution, a rule of thumb might estimate the proportion of data that is one or two standard deviations from the mean.

Despite this limitation, the rule of thumb can be a useful tool for understanding the spread of data in right-skewed distributions. However, it is important to know that this law can predict the percentage of data in a given situation.

In such cases, other methods such as quartiles or percentages are more effective for analyzing the distribution of the data.

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Answer:  A. 0 to 100 per hour

==================================================

Explanation:

The phrasing "Depends on its speed" tells us that the speed is the independent variable, and therefore it's the x variable.

The domain is the set of allowed x values of a function, or allowed inputs. In this case, it appears the car's max speed is 100 mph.

Answer:

0 to 100 miles per hour

Answer:

$209.17

Step-by-step explanation:

If you take the interest of $12.55 and divide it by 0.06% (opposite operations because the start money is START MONEY times 0.06%) you will get the answer of $209.1666666 which rounds up to $209.17

Answer:

d = 288

Step-by-step explanation:

Answer:

d = 24

Step-by-step explanation:

hope this helps!!!

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

See explanation below

Explanation:

a) The first thing we will do is draw the rectangular rug with the measuremnet 5 foot by 7 foot:

We will assume each 1 cm of the represent 1 foot, if we are using a ruler with cm as measurement to draw the diagram.

Then, we draw a box with measurement of 1foot by 1 foot

The most primitive way to determine the area of the rug is to count each of the boxes. The amount you get is the area of the rug.

When you count, the number of boxes = 35

Since the each box is 1 foot by 1 foot:

b) A less primitive way to determine the area of the rug, is to multiply the length by the width.

the length (longer side) = 7ft, the width (shorter side) = 5ft

This method works because we have 5 columns and 7 rows. When we multiply the two, it gives an area since each box represent 1 foot by 1 foot.

This question is missing the options, here is the complete question:

Read the quotation from "Song of Myself."

I have no chair, no church, no philosophy,

I lead no man to a dinner-table, library, exchange,

But each man and each woman of you I lead upon a knoll,

My left hand hooking you round the waist,

My right hand pointing to landscapes of continents and the public road.

Which statement best describes how these lines reflect the theme of the poem?

A. They indicate that Whitman is more interested in communicating with individuals than society.

B. They show Whitman’s sociability and his interest in human nature.

C. They reflect Whitman’s desire to share his love of the wilderness.

D. They suggest that Whitman views all individuals as equals who should communicate with each other as such.

The answer to this question is A. They indicate that Whitman is more interested in communicating with individuals than society.

Explanation:

In the poem "Song of Myself", Walt Whitman focuses on recognizing his value as an individual and the value of other individuals in society. In the section presented, the author shows the importance of communicating and interacting with individuals as he explains "My left hand hooking you round the waist", which shows through figurative language the interaction between individuals. This is emphasized by the use of "each man and each woman" as Whitman does not refer to others as a group but recognizes individuality. Thus, the theme or message about the importance of individuals is reflected in these lines because "they indicate that Whitman is more interested in communicating with individuals than society."

Answer:

A: They indicate that Whitman is more interested in communicating with individuals than society.

Step-by-step explanation:

Edge 2021

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

look at explanation k=3

Step-by-step explanation:

5×3=15 15-5=10 10+6=16

Answer:

Step-by-step explanation:

42.70.8

A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.

In statistical hypothesis testing, null and alternate hypotheses are utilized. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.

Based on the study question or issue that they are attempting to solve, the analyst or researcher develops a null hypothesis. The null may be distinguished in many ways depending on the question.

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The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144              ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20                        .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

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The waste sites in State Y in the year 2000 was 21.

Let n be the number of hazardous waste sites in State Y.

Based on the problem statement, we have

2n - 8 = 34

So, we have

2n = 42

Divide

n = 21

Hence, the waste sites in State Y in the year 2000 was 21.

Given that

6x + 1.6 = 58

Apply the subtraction property

6x = 56.4

Apply the division property

x = 9.4

Hence, the solution to the equation is x = 9.4

Here, we have the bar diagram

Adding the terms in the bar, we have

n + n + n + 8 = 53

3n + 8 = 53

Apply the subtraction property

3n = 45

Apply the division property

n = 15

Hence, the bar equation is 3n + 8 = 53

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The probability of getting a red marble on the first draw and a blue marble on the second draw is 15/56.The probability of drawing an ace on the first draw and a king on the second draw is 1/663.The probability of getting a sum of 7 or 11 when rolling two dice is 2/9.

1)Independent Events:-
Suppose we have a bag with 5 red marbles and 3 blue marbles. We choose two marbles at random without replacement. What is the probability that we get a red marble on the first draw and a blue marble on the second draw?

Since the events are independent, we can simply multiply the probabilities of each event.
The probability of drawing a red marble on the first draw is 5/8, and the probability of drawing a blue marble on the second draw is 3/7 (since we have one less marble in the bag). Therefore, the probability of getting a red marble on the first draw and a blue marble on the second draw is:
P(Red, Blue) = P(Red) * P(Blue) = 5/8 * 3/7 = 15/56
The probability of getting a red marble on the first draw and a blue marble on the second draw is 15/56.

2)Dependent Events:-
Suppose we have a deck of 52 cards. We draw two cards at random without replacement. What is the probability that we draw an ace on the first draw and a king on the second draw?

Since the events are dependent, we need to use conditional probability.
The probability of drawing an ace on the first draw is 4/52 (since there are 4 aces in the deck). If we draw an ace on the first draw, there are now 51 cards left in the deck, including 4 kings. Therefore, the probability of drawing a king on the second draw given that we drew an ace on the first draw is 4/51.
Using the multiplication rule of probability, the probability of drawing an ace on the first draw and a king on the second draw is:
P(Ace, King) = P(Ace) * P(King|Ace) = 4/52 * 4/51 = 1/663
The probability of drawing an ace on the first draw and a king on the second draw is 1/663.

3) Multiple Cases:-
Suppose we have two dice, one red and one blue. We roll both dice. What is the probability that the sum of the numbers rolled is 7 or 11?
We can approach this problem by listing all the possible outcomes and counting the number of outcomes where the sum is 7 or 11.
There are a total of 36 possible outcomes when we roll two dice, since each die has 6 possible outcomes. We can list all the possible outcomes in a table, where the rows represent the outcomes for the red die and the columns represent the outcomes for the blue die.
We can see that there are 6 possible outcomes where the sum of the numbers rolled is 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) and 2 possible outcomes where the sum of the numbers rolled is 11 (5+6, 6+5). Therefore, there are 8 possible outcomes where the sum of the numbers rolled is either 7 or 11.
Since there are 36 possible outcomes, the probability of getting a sum of 7 or 11 is:
P(Sum is 7 or 11) = 8/36 = 2/9.
The probability of getting a sum of 7 or 11 when rolling two dice is 2/9.
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Answer:

they are equal due to the vertical angles theorem

vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

They are equal

Step-by-step explanation:

I just had it on a exam and can I have brainliest Im trying to level up

Answer:

Step-by-step explanation:

  3 \(\frac{1}{6}\)

+  1 \(\frac{5}{6}\)

_______

4 \(\frac{6}{6}\)   =  5 pounds

\(\frac{6 }{6}\)  = 1  add this to the 4 and you have 5 pounds total

Answer:

To find how many times larger one number is than another, we need to divide the larger number by the smaller one.

(3 x 10^15) / (6 x 10^10)

= (3/6) * (10^15 / 10^10)

= 0.5 * 10^5

= 5 x 10^4

So the answer is:

C) 5 x 10^4

A therapeutic procedure is a procedure performed for definitive treatment rather than diagnostic purposes.

A procedure performed for definitive treatment rather than diagnostic purposes is a therapeutic procedure. These procedures are aimed at treating or curing a particular condition, disease, or illness. Therapeutic procedures are used to relieve pain, restore function, improve mobility, or even save a patient's life. Unlike diagnostic procedures that are performed to identify a problem, therapeutic procedures involve actually treating the problem. Examples of therapeutic procedures include surgeries, chemotherapy, radiation therapy, and immunotherapy. These procedures are often more invasive than diagnostic procedures and may require anesthesia or sedation. The goal of a therapeutic procedure is to improve the patient's health and well-being, and they are an essential part of modern medical care.

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