LINEAR PAIR DEFENITION

Therefore , the solution of the given problem of median comes out to be  the typical grade received by pupils is 80.

The median value of an arranged dataset is the precise value that makes up its mean. The ratio between the minimum and maximum 50% of the data is what is known as a likelihood measure, or an average. Based if there is an odd or perhaps an even number of points, multiple formulas are used to calculate the median and mode.

Here,

The range and scatter of statistical data are represented visually by this analysis (continuous data).

It establishes four quartile groups.

Min - 25th Percentile, Quartile Group 1 (Q1)

Group 2 of the Quartile: 25th Percentile (Q1) to 50th Percentile (Q2, Median)

50th percentile (Q2) and 75th percentile make up Quartile Group 3. (Q3)

75th percentile (Q3) for Quartile Group 4: Maximum

Q3-Q1 is the interquartile range in this (IQR)

the 40-point cutoff

a maximum score of 110

25% of the class received a score between 40 and 63.

50% of the pupils got scores under 81, and 50% got scores over 81.

75% of pupils had scores between 40 and 95. additionally, 25% of students achieved 95 or higher.

The typical grade received by pupils is 80.

Therefore , the solution of the given problem of median comes out to be  the typical grade received by pupils is 80.

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The complete question is " Professor A. has 40 students in her class. After giving a first quiz, she calculated 5 measures of relative standing: min =3, Q1 = 12, Median = 14, Q3 = 16, Max = 20. Draw a box plot for quiz scores of her class. What are the highest and the lowest quiz score? What is the score that separates the bottom 75% from the top 25%? How many students scored more than the median? How many students scored more than 14 points? What percent of her students received less than 12 points? Would the score of 4 be an outlier? (use the IQR method to explain)"

A)The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

B) The probability of at least two buses arriving in the next 2 hours is =0.865

C)  The probability of no buses arriving in the next 2 hours is =0.135

d) The probability that it will be between 30 and 90 minutes before the next bus arrives is ,0.185

a) Let \($X$\) be the number of buses that arrive in a 2-hour period. Since the time between arrivals of buses follows an exponential distribution with a mean of 60 minutes, the arrival rate λ is given by\($\lambda=1 / 60$\) 0 buses per minute.

Therefore, the number of buses that arrive in a 2-hour period is a Poisson distribution with parameter \(\mu=\lambda t=(1 / 60) \times 120=2$.\). Thus, X has a Poisson distribution with parameter μ = 2.

The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

b) The probability of at least two buses arriving in the next 2 hours is

\($P(X \geq 2)=1-P(X=0)-P(X=1)=1-e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)-e^{\wedge}(-2)\left(2^{\wedge} 1 / 1 !\right)=0.865$.\)

c) The probability of no buses arriving in the next 2 hours is

\(P(X=0)=$ $e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)=0.135$\)

d) Let Y be the time between the first and second bus arrivals. Then Y follows an exponential distribution with a mean of 60 minutes. We want to find the probability that \($30 \leq Y \leq 90$\).

This is equivalent to finding \(P(Y \leq$ $90)-P(Y \leq 30)$,\), which is equal to F(90) - F(30), where F is the cumulative distribution function of the exponential distribution with \($\lambda=1 / 60$\)

Therefore, the probability that it will be between 30 and 90 minutes before the next bus arrives is\(F(90)-F(30)=\left(1-e^{\wedge}(-90 / 60)\right)-(1$ $\left.e^{\wedge}(-30 / 60)\right)=e^{\wedge}(-1.5)-e^{\wedge}(-0.5)=0.185$\)

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Answer:

45

Step-by-step explanation:

The points on the graph :

(4, 180) ; (7, 135)

x1 = 4 ; y1 = 180

x2 = 7 ; y2 = 315

The number of soda bottles the machine can make in a minute is the gradient or slope :

Gradient = change in y / change in x

Gradient = (y2 - y1) / (x2 - x1)

Gradient = (315 - 180) / (7 - 4)

Gradient = 135 / 3

Gradient = 45

Hence, the machine can make 45 soda bottles in a minute.

Answer:

a

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

3/5 x 2/3 = 6/15

6/15 = 2/5

To graph the average and standard deviation of a given list of values, you should use a bar graph or a histogram.

1. Calculate the average (mean) of the given list of values.
2. Calculate the standard deviation of the given list of values.
3. Create a bar graph or histogram with two bars.
4. Label the first bar as "Average" and set its height to the calculated average value.
5. Label the second bar as "Standard Deviation" and set its height to the calculated standard deviation value.

This graph will visually represent the average and standard deviation of the given list of values.

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a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.

The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.

(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.

(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.

(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.

Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.

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Answer:2

Step-by-step explanation:

First combine like terms

2x+3x=5x

5x+3=X+11

Then move the variable to one side by subtracting x from both sides

X-x cancel watcher out

5x-x=4x

Now you have

4x+3=11

Subtract 3 from both sides

4x=8 then divide by 4

X=2

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Answer:

It's speed is 48 km/hr.

Note: The term "average speed" is only used when there are 2 or more given speeds.

Step-by-step explanation:

Answer:

y>4x-2

Step-by-step explanation:

First let us find the equation of the line.

Given points (1,2) and (0, -2), the slope would be

(2-(-2))/(1-0) = 4/1= 4

The intercept is at -2, so the full equation would be

y=4x-2

However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.

Our equations should be,

y>4x-2

I hope this helps! :)

Answer:

2x∧3-19x∧2+38x-21

Step-by-step explanation:

the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.

A car travels a distance = 100 feet .

1 feet = 0.000189 miles

100 feet = 0.0189 miles

Time taken by the car = 2.8 seconds.

1 second = 0.000277 hour

2.8 seconds = 0.00077 h0urs

distance = speed x time

speed  = distance / time

speed = 0.0189 miles/ 0.00077 h0urs

speed = 24.54 miles / hour

then, the velocity of car is 24.54 miles / hour.

the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.

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Answer:

No, because the longest side is too short to be the hypotenuse of a right triangle.

Step-by-step explanation:

To see if the sides form a right triangle

6² + 8² = 9²

36 + 64 = 81

100 ≠ 81

The the 3rd side is too short

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

8

Step-by-step explanation:

The correct option: 3. Apply the distributive property or FOIL; to determine the value of zw.

Let z = 19 + i and w = 4 + 10i.

Making a decision is the first step.

The steps to find the product of complex numbers z and w are as follows.

z. w = ( 19 + i )( 4 + 10i ).

z. w = 19 * (4 10i) i * (4 10i).

z. w = 19 * 4 + 19*10i + i * 4 + i * 10i.

z. w = 76 +  190i  + 4i + 10i².

because i² = -1.

z. w = 76 + 194i - 10.

z. w = 66 + 194i.

Thus, in order to find zw in the first step, use the distributive property or FOIL.

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The correct question is-

Let z = 19 + i and w = 4 + 10i.

What is the first step in determining zw?

Step-by-step explanation:

what is the question ?

solve for x and y ?

multiply the second equation by 3 and add that result to the first equation. then solve for x. then pick any original equation and solve for y.

-2x - 3y = 8

15x + 3y = 18

-----------------------

13x 0 = 26

x = 26/13 = 2

5×2 + y = 6

10 + y = 6

y = -4

This is a problem of combinations divided like this

since this is a sum we can solve by the product and solve each combination independently

There are 60 different ways you can select the soda combination

#1

Not divide we multiply

#2

Yes

#3

Yes it's reverse of first one

Answer:

False

True

True

Step-by-step explanation:

\(\textsf{Product Rule}:\quad \log_n(x)+\log_n(y)=\log_n(xy)\)

When condensing a logarithm using the product rule, you combine the answers by multiplying them.

\(\textsf{Power Rule}:\quad a \log_n(x)=\log_n(x)^a\)

When condensing a logarithm using the power rule, you move the front number to become the exponent on the log.

\(\textsf{Quotient Rule}:\quad \log_n(x)+\log_n(y)=\log_n\left(\dfrac{x}{y}\right)\)

When condensing a logarithm using the the quotient rule, you combine the answers by dividing them.

According to the strict necessity test, Conclusions of inductive arguments do not follow by strict logical necessity from their premises. The correct option is a).

It means that even if the premises of an inductive argument are true, the conclusion can still be false, and the truth of the premises does not guarantee the truth of the conclusion.

Inductive reasoning involves making generalizations based on specific observations or evidence, but it does not provide conclusive proof like deductive reasoning. Therefore, the conclusions of inductive arguments are not necessarily true, even if the premises are true. So, The correct answer is a).

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Answer:

1/6

Step-by-step explanation:

1/2 ÷ 3 = 1/2 × 1/3 = 1/6

The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

Sorry I'm late

803 words

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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The number of pictures that Todd ordered can be obtained as follows:

- Subtract the one-time shipping fee from the total cost of Todd's order to obtain the total amount that the pictures cost, as below:

- Now, divide the result above (which is the total amount that the pictures cost ) by the individual cost of the pictures, as follows:

Therefore, Todd ordered a total of 11 pictures

Answer:

3+3+5+16+28+22=77

100-77=23% for insurance and taxes

23/100 x 360= 82.8 degrees

If clothing is 3%, do that % over 100 x $40,000 to get how much spent.

3/100 x 40000= $1200 on clothes

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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