Quadrilateral abcd is transformed according to the rule (x, y) → (y, â€"x). which is another way to state the transformation? r0, 90° r0, 180° r0, 270° r0, 360°

Answer:

The dotted line does not divide the data in two as the left and right side have an unequal, odd number of points 3 and 5 respectively

Step-by-step explanation:

The steps to follow in the divide the center method includes

1) Plot data

2) A dotted line is then drawn that divides the data in two, such that each side has an even number count of points

3) Mark the center of the data on each side of the dotted line as x

4) Draw a straight line through the x marks to extend to the plot area edges

5) The line drawn is the line of best fit.

Answer:

I think maybe b! but I'm not sure

Answer: r=0

Step-by-step explanation: Hope this help :D

Answer:

88

Step-by-step explanation:

the median is 88

the mean is 87.5

If there is at-least one-song liked by those two girls but disliked by the third, then the "different-ways" this is possible is 132 ways.

There are ⁴C₃ ways to choose the "3-songs" which are liked by "3-pairs" of girls.

There are 3! ways to find the three songs are liked by which pair of girls.

In total, there are ⁴C₃×3! possibilities for the first "3-songs".

There are "3-cases" for fourth song, let that song be "D".

Case 1: Song "D" is disliked by all three girls means there is only one possibility.

Case 2: Song "D" is liked by exactly one girl means there are three possibility.

Case 3: Song "D" is liked by exactly two girls means there are three pairs of girls to choose from.

However, there is an overlap when "other-song" is liked by "same-pair" of girl is counted as "fourth-song" at some point, in which "case-D" will be counted as one of first "three-songs" liked by same girls.

Counting the overlaps, there are "three-ways" to choose pair with overlaps and 4×3=12 ways to choose what the other "two-pairs" like independently.

In total, there are 3×12=36 over-lapped possibilities,

Therefore, there are ⁴C₃ × 3! ×(3+1+3)-36 = 132 ways for the songs to be likely by the girls.

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We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

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Answer:

22.55 ft of wood is what mr. webb will have left

The probability of a censorship attack succeeding in terms of α (the attacker's mining power) can be calculated using the state machine representing the possible chain forks.

The attacker's success probability relies on their ability to maintain a longer private chain and ultimately replace the honest chain. The success probability depends on the attacker's mining power (α), the honest network's mining power (1-α), and the current state of the chain forks.
In general, the probability of a fork succeeding from each active state in the state machine can be calculated using a recursive approach, taking into account the likelihood of the attacker mining a block and the honest network mining a block. By evaluating these probabilities for different values of α, one can estimate the likelihood of a successful censorship attack. Remember that higher α values increase the attacker's chances of success, while lower values make it more difficult to carry out such an attack.

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An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The Taylor series for f(x)=sin(x) at x=π/2 is ∑n=0[infinity]cn(x-π/2)n, where cn=(-1)n/(n!) if n is even and cn=0 if n is odd.

So, c0=0, c1=(-1)1/(1!)= -1, c2=0, c3=1/(3!)=1/6, c4=0.
Therefore, the first five coefficients are c0=0, c1=-1, c2=0, c3=1/6, c4=0.
Note that the odd coefficients are all 0, which is because the function f(x)=sin(x) is an odd function and its derivatives evaluated at π/2 are all 0. The Taylor series for a function f(x) is given by ∑n=0∞(f^(n)(a)(x-a)^n)/n!, where f^(n)(a) is the nth derivative of f(x) evaluated at x=a. In this case, f(x) = sin(x) and a = π/2.
To find the first five coefficients, we need the first five derivatives evaluated at x = π/2:
f(x) = sin(x)
f'(x) = cos(x)
f''(x) = -sin(x)
f'''(x) = -cos(x)
f^(4)(x) = sin(x)
Now, evaluate them at x = π/2:
f(π/2) = 1
f'(π/2) = 0
f''(π/2) = -1
f'''(π/2) = 0
f^(4)(π/2) = 1
Finally, apply the Taylor series formula:
c0 = f(π/2)/0! = 1
c1 = f'(π/2)/1! = 0
c2 = f''(π/2)/2! = -1/2
c3 = f'''(π/2)/3! = 0
c4 = f^(4)(π/2)/4! = 1/24

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Answer:

it's basically 4x+2y

Step-by-step explanation:

since it's not like terms it stays the same

The probability that subjects in the drug group sleep less than eight hours is approximately 0.8413, or 84.13%.

To calculate the probability that subjects in the drug group sleep less than eight hours, we need to assume that the distribution of sleep hours follows a normal distribution. Given the average of 6 hours and a standard deviation of 2, we can use the properties of the normal distribution to determine the probability.

Let X be the random variable representing the sleep hours in the drug group. We are interested in finding P(X < 8), which represents the probability that subjects sleep less than eight hours.

Using the properties of the normal distribution, we can standardize the variable X by converting it to a standard normal variable Z with a mean of 0 and a standard deviation of 1.

To standardize X, we use the formula:

Z = (X - μ) / σ,

where μ is the mean and σ is the standard deviation.

In this case, X = 8, μ = 6, and σ = 2. Plugging these values into the formula, we get:

Z = (8 - 6) / 2 = 1.

Now, we need to find the probability P(Z < 1) using a standard normal distribution table or a calculator. Looking up the corresponding value in the standard normal distribution table, we find that P(Z < 1) is approximately 0.8413.

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The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.

This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.

Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.

Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.

Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.

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The value of given function f(g(3) = 3. hence, correct option is B

from the above we have

g(3) = 2

f (2) = 3

now putting the value, we have

f(g(3))=f(2)=3

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(a) The brightness of the three bulbs in a series circuit is the same. The reason for this is that a series circuit is designed to have the same amount of electric current flow through each component in the circuit. When the electric current flows through each component in the circuit, it transfers electrical energy to light energy which makes the bulbs light up. Since the same amount of electric current flows through each bulb in a series circuit, they have the same brightness.

(b) When bulb A is unscrewed and removed from its socket, the brightness of bulbs B and C will decrease. The reason for this is that bulb A acts as a resistor in the series circuit. When bulb A is unscrewed and removed from its socket, the electrical resistance of the circuit decreases which leads to an increase in electric current flowing through the circuit. As a result, more electric current flows through bulbs B and C, causing them to become brighter. However, if the resistance of bulb A is too high, the circuit may become open, meaning that there is no current flow and none of the bulbs will light up.

(c) When bulb A is unscrewed, the electrical resistance of the circuit decreases which leads to an increase in electric current flowing through the circuit. As a result, more electric current flows through points 3, 4, and 5. Since the same amount of electric current flows through each component in the circuit, the increase in electric current flowing through points 3, 4, and 5 will be the same.

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The required probability is 0.132 .

What is normal approximation?

The sampling distribution of averages or proportions from a large number of independent trials approximately and the expectation of a sample proportion or average is the corresponding population value.

On solving using mean sampling method, we get

P(E) = 0.132

Hence, the required probability is 0.132 .

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Answer:

40

Step-by-step explanation:

Answer:

11 is the answer.

The probability of the commuting time being between 50 and 60 minutes is determined for a train with a uniformly distributed commuting time between 40 and 90 minutes.

In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. In this case, the commuting time is uniformly distributed between 40 and 90 minutes. The PDF for a uniform distribution is given by:

f(x) = 1 / (b - a)

where 'a' is the lower bound (40 minutes) and 'b' is the upper bound (90 minutes) of the distribution.

To find the probability that the commuting time falls between 50 and 60 minutes, we need to calculate the area under the PDF curve between these two values. Since the PDF is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.

The width of the range between 50 and 60 minutes is 60 - 50 = 10 minutes. The total width of the distribution is 90 - 40 = 50 minutes.

Therefore, the probability that the commuting time will be between 50 and 60 minutes is:

P(50 ≤ x ≤ 60) = (width of range) / (total width of distribution) = 10 / 50 = 1/5 = 0.2, or 20%.

Thus, there is a 20% probability that the commuting time on this particular train will be between 50 and 60 minutes.

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Answer:

Step-by-step explanation:

Let x = amount charged for washing a car

     y = amount charged for vacuuming a car

38 = 5x + 4y (1)

28 = 4x + 2y (2)

Can be solved by substitution or simply subtracting the (1) and (2) equation.

By Substitution:

38 = 5x + 4y --->  solve for x

38 - 4y = 5x (transposed 4y to the other side of the equation and it's sign changes from (+) to (-).

\(\frac{38-4y}{5} =x\)

substitute the value of x to the (2) equation.

28 = 4x + 2 y

\(28=4(\frac{38-4y}{5})+2y\)

\(28=\frac{152-16y}{5} +2y\) , then multiply both side by 5 to eliminate the denominator 5.

140 = 152 - 16y + 10y (transposed 152 to the other side, change sign from (+) to (-)).

140 - 152 = -16y + 10 y

-12 = -6y (divide both side by (-6)

y =  2 or $2 (amount charged for vacuuming)

Using any of the 2 equation, we can solve for the value of x.

38 = 5x + 4 (2) (we substitute, the value of y)

38 - 8 = 5x

30/5 = x

x= 6 or $6 (amount charged for washing)

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

Answer:

First Question is B

Second Question is C

Step-by-step explanation:

You can’t have the same x values going to different y values

In a multi-programming environment where all the jobs are executed at once in a batch, the completion time of the system will be determined by the job that takes the longest time to complete.

In this case, Job 2 and Job 3 both take 10 seconds to complete, which is the longest among all the jobs.

Therefore, the completion time of the system in a multi-programming environment is 10 seconds.

To calculate the throughput, we need to determine the number of jobs completed per unit of time. In this case, we have four jobs completed in 10 seconds.

Throughput = (Number of jobs completed) / (Time taken)

Throughput = 4 jobs / 10 seconds

Throughput = 0.4 jobs/second

To convert the throughput to jobs per minute, we can multiply it by 60:

Throughput = 0.4 jobs/second * 60 seconds/minute

Throughput = 24 jobs/minute

Therefore, the throughput of the system in a multi-programming environment is 24 jobs per minute.

The mean response time is the average time taken for a job to complete from the moment it starts executing.

To calculate the mean response time, we sum up the individual job completion times and divide it by the number of jobs.

Mean response time = (Job 1 completion time + Job 2 completion time + Job 3 completion time + Job 4 completion time) / (Number of jobs)

Mean response time = (3 seconds + 10 seconds + 10 seconds + 7 seconds) / 4

Mean response time = 30 seconds / 4

Mean response time = 7.5 seconds

Therefore, the mean response time of the system in a multi-programming environment is 7.5 seconds.

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In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
The volume of a cone is given by the formula V = (1/3)πr²h here r is the radius of the base and h is the height of the cone.

Now we have differentiate this formula concerning t to get
dV/dt = (1/3)πr²dh/dt + (2/3)πrh²dr/dt.

It is given to us  that water is coming out a giant cone shaped funnel at a rate of 15 cubic inches per second, then we  can say that
dV/dt = -15 cubic inches per second

Therefore the funnel has a maximum radius of 40 inches and a height of 75 inches. We need to evaluate  dh/dt
If h = 15 inches.

In order to find dh/dt,
we need to evaluate  dr/dt and place it in  equation for dV/dt.

Therefore, to find dr/dh = r/h.
Given
when h = 75 inches,
r = 40 inches.
Therefore, dr/dh
= 40/75.

Staging this into the equation for dV/dt,

-15 = (1/3)π(40²)(dh/dt) + (2/3)π(40)(15)²(40/75)

Here simplification takes place


dh/dt = -0.4π/3
≈ -0.42 cubic inches per second
In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.


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When more than 25 shirts are ordered, the price is $15 per shirt, plus $15 shipping and handling.  If $720 was spent on shirts,  the student council ordered 47 shirts.

Let x be the number of shirts ordered. We can set up an equation based on the given information:

If x ≤ 25, then the cost of the shirts is 20x + 20.

If x > 25, then the cost of the shirts is 15x + 15.

We know that the total cost of the shirts is $720. So, we can write:

20x + 20 if x ≤ 25

15x + 15 if x > 25

Setting these equal to each other, we get:

20x + 20 = 15x + 15

5x = 5

x = 1

This doesn't make sense, because the number of shirts ordered must be greater than 1. Therefore, we know that the student council ordered more than 25 shirts.

Using the equation 15x + 15 = 720, we can solve for x:

15x + 15 = 720

15x = 705

x = 47

To check, we can calculate the cost of the shirts:

If 47 shirts are ordered, then the cost is 15(47) + 15 = $720.

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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the answer would be 147.I hope this helps you

Step-by-step explanation:

4h=588

h=588÷4

Answer:

I'm assuming we're solving for the hypotenuse, which is 21.5

Step-by-step explanation:

If a^2+b^2=c^2

Then 19^2+10^2 =461

This is c^2 so we must find the square root of 461

the square root of 461 is 21.47, or 21.5 rounded to the nearest tenth

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6