PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS

A type of plot shows the median and the data spread about the median is called a boxplot.

A box-and-whiskers plot, also referred to as a boxplot, presents a summarized information such as the median, quartiles, minimum, and maximum values.

It indicates the measure of skewness of a distribution data or how the values are spread out.

It is made up of a box, which lies between the first and third quartiles with the whiskers as line segments extending from the ends of the box to the smallest and largest values that are not outliers.

Attached photo is a figure that illustrates a boxplot.

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Given:

A student says that the graph of the equation \(y = 3(x + 8)\) is the same as the graph of \(y = 3x\), only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

\(y=3x\)

\(f(x)=3x\)

Equation of after transformation is

\(y=3(x+8)\)

\(g(x)=3(x+8)\)

Now,

\(g(x)=f(x+8)\)      ...(i)

The translation is defined as

\(g(x)=f(x+a)+b\)        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

\(a=8\text{ and }b=0\)

Therefore, the graph of \(y=3x\) translated left by 8 units. Hence, the student is wrong.

The left side of the equation is equal to the right side, which confirms that a = 11/10 is the correct solution.

To solve the equation, we need to isolate the variable "a". The equation is given as a - 1/2 = 3/5.
To eliminate the fraction, we can multiply both sides of the equation by the least common denominator (LCD), which is 10. This will clear the fractions and make the equation easier to solve.
Multiplying the left side of the equation by 10, we get:
10(a - 1/2) = 10(3/5)
10a - 5 = 6
Next, we can simplify the equation by adding 5 to both sides:
10a - 5 + 5 = 6 + 5
10a = 11
Finally, we can solve for "a" by dividing both sides of the equation by 10:
(10a)/10 = 11/10
a = 11/10
Therefore, the solution to the equation is a = 11/10 or a = 1 1/10.
To check the solution, substitute a = 11/10 back into the original equation:
11/10 - 1/2 = 3/5
(11/10) - (5/10) = 3/5
6/10 = 3/5
In summary, the solution to the equation a - 1/2 = 3/5 is a = 11/10 or a = 1 1/10. This solution has been checked and is correct.

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In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.

Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.

This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.

Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.

Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.

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Solving a system of equations we can see that we need to use 120 ml of the 80% solution, and the other 80ml are of the 50% solution.

Let's define the variables:

We know that we want to make 200ml, then:

x  + y = 200

And the concentration of these 200ml must be of 68%, then the concentrations in the left side and in the rigth side must give the same value, so we can write:

x*0.5 + y*0.8 = 200*0.68

(the concentrations are written in decimal form)

Then we have the system of equations:

x  + y = 200

x*0.5 + y*0.8 = 200*0.68

To solve it we start by isolating x in the first equation:

x = 200 - y

Replacing that in the other equation we get:

(200 - y)*0.5 + y*0.8 = 200*0.68

Now we can solve this for y, we will get:

100 - y*0.5 + y*0.8 = 136

y*0.3 = 136 - 100 = 36

y = 36/0.3 = 120

So we need to use 120 ml of the 80% solution, and the other 80ml are of the 50% solution.

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Answer:

16/5 or 3 1/5 i think

Step-by-step explanation:

Answer:

x = 16/5.

As a decimal this would be x = 3.2.

Step-by-step explanation:

On the right, distribute the -1/4 to the (x - 8). Do this by multiplying -1/4 to each term in the parenthesis. Then, solve for x by combining like terms.

Answer:

the first one

Step-by-step explanation:

8x-6>=-9x+5x

12x>=6

x>=0.5

Answer:

A

Step-by-step explanation:

The penny will fall from distance of 232 feet during the 8th second only, as it falls 960 feet in the first 8 seconds, but 728 feet in the first 8 seconds.

The distance the penny falls each second is increasing by 32 feet (16 feet + 32 feet = 48 feet, 48 feet + 32 feet = 80 feet, and so on). Therefore, during the 8th second, the distance it will fall is:

16 + 48 + 80 + ... + (8 - 1) * 32 feet

Using the formula for the sum of an arithmetic sequence, we get:

(8 / 2) * (16 + (8 - 1) * 32) feet

= 4 * (16 + 7 * 32) feet

= 4 * 240 feet

= 960 feet

So the penny will fall 960 feet during the first 8 seconds. However, we need to subtract the distance it fell during the first 7 seconds to find the distance it fell during the 8th second only. The total distance it fell during the first 7 seconds is:

16 + 48 + 80 + ... + (7 - 1) * 32 feet

= (7 / 2) * (16 + (7 - 1) * 32) feet

= 3.5 * (16 + 6 * 32) feet

= 3.5 * 208 feet

= 728 feet

Therefore, the penny will fall 960 - 728 = 232 feet during the 8th second only.

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A total of 50 people are in the club but only 45 of them went for the two trips.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the total number of people in the club.

Since 45 members are in the trip, hence:

(2/5)x + (1/2)x = 45

0.9x = 45

x = 50

A total of 50 people are in the club but only 45 of them went for the two trips.

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The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

According to the given statement , the unknown values representing the unit rate are a = 1/22 and b = 1/22.

In a proportional relationship, the unit rate is the constant ratio between the two quantities. To find the unit rate, we need to compare the number of nails to the number of boxes. Looking at the table, we see that as the number of boxes increases, the number of nails also increases.

To find the unit rate, we can divide the number of nails by the number of boxes for each row.

For the first row: a/b = 4/88
For the second row: a/b = 6/132
For the third row: a/b = 8/176

Simplifying these fractions, we find that the unit rate for each row is 1/22, 1/22, and 1/22 respectively.

Therefore, the unknown values representing the unit rate are a = 1/22 and b = 1/22.

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The corner points of the Graph of the inequality -x + y ≥ 2 are (-2, 0), (0, 2)

What is Linear Inequality?

Linear inequalities are mathematical expressions that compare two expressions using the inequality symbol. The expression might be either algebraic or numerical, or a mix of the two. A linear function is any function with a straight line as its graph.

Solution:

We need to plot the graph of the given inquality -x + y ≥ 2

Please refer to the graph attached below

The corner points of the Graph are (-2, 0), (0, 2)

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What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:

KM ≅ KM

ΔKLM ≅ ΔMNK  (SSS similarity theorem).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1. 27.5 in.^2

2. 360 in.^2

Step-by-step explanation:

1.

A = bh/2

A = (4 + 7)(5)/2

A = 27.5 in.^2

2.

A = bh/2

A = (35 + 13)(15)/2

A = 360 in.^2

Answer:   Range should be  [ -4 , ∞ )

Step-by-step explanation:

When using interval notation, use a square bracket to indicate  ≤ or ≥ .

It also helps to be consistent -  like state the inequality notation first, then interval notation. It's less confusing when it is in the same order.

Answer: dividing the 4

Step-by-step explanation:

During the 1920s, buying stock on credit was called buying on margin or margin trading. Hence, option C is correct.

An act of buying shares or securities of a company without the actual need of having funds in the account, is known as margin trading. A credit facility is granted by the broker to the trader to do margin trading.

In case the trader generates a profit while buying on margin, he or she would get only an amount of the profit made by him or her over such trade. In case of losses, the balance amount became the liability of the trader.

Hence, option C states about margin trading.

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Answer:

For the question a i think its b

Step-by-step explanation:

The work shown is not correct. The correct result of (11 + 2i) - (3 - 10i) is 8 + 12i.

To evaluate the given expression, we need to subtract the real parts and the imaginary parts separately.

Real part:

11 - 3 = 8

Imaginary part:

2i - (-10i) = 2i + 10i = 12i

Combining the real and imaginary parts, we get the correct result:

8 + 12i

So, the correct answer is 8 + 12i, not 8 - 8i as shown in the work.

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Answer:

distance = 5 units

Step-by-step explanation:

we can calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )

d = \(\sqrt{(3-0)^2+(4-0)^2}\)

  = \(\sqrt{3^2+4^2}\)

  = \(\sqrt{9+16}\)

   = \(\sqrt{25}\)

   = 5

Formula to find the distance between two points is given by -

\( \small \underline{ \boxed{ \sf{ \pmb{ Distance = \sqrt{ (y_2 -y_1)^2 + (x_2-x_1)^2}}}}}\\\)

As per question, points are -

On substituting the values :-

\(\: \: \: \: \: \longrightarrow \sf {Distance(XQ) = \sqrt{ (0-4)^2 + (0-3)^2 }}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ (-4)^2 + (-3)^2 }}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = \sqrt{ 16+9}}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ 25} }\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = 5}\\\)

\( \: \: \: \: \:\longrightarrow \boxed{ \tt{ \pmb{ \red{Distance(XQ) = 5 }}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{The \:distance \: of \: the\: two \:points \: is \: \frak{\purple{ 5.} }}}}\\\)

Answer:

.6

Step-by-step explanation:

We want to get the denominator to 10

3/5 * 2/2 = 6/10

The decimal equivalent is

.6

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

Answer:

The sales tax percentage is 2%.

Step-by-step explanation:

With the information provided, you can find the sales tax percentage by subtracting the retail price from the amount the customer paid and dividing that by the retail price. Then, you have to multiply the result by 100.

((58.14-57)/57)*100= (1.14/57)*100=0.02*100= 2%

According to this, the answer is that the sales tax percentage is 2%.

Step-by-step explanation:

To find the coterminal angle with -442° we can add or subtract any integer multiple of 360°.

-442° + 360° = -82°

So one coterminal angle with -442° is -82°.

To determine the quadrant, we need to consider the sign of the angles in each quadrant. Since -442° is negative, it lies in the clockwise direction, which means it falls in the fourth quadrant.

To find the reference angle, we need to find the acute angle between the terminal side of the angle and the x-axis. We can do that by subtracting the nearest multiple of 360°.

-442° + 360° = -82° (the smallest positive coterminal angle)

Reference angle = 82°

Therefore, the coterminal angle with -442° between 0° and 360° is 318°, it lies in the fourth quadrant and the reference angle is 82°.

In complex exponential form, the roots of the polynomial P(z) = -224 + 2iz³ - 62 - 6i are:

z = -i, ±√(√(1027)e^(i(arctan(3/32))))

(a) To prove that -i is a root of the complex polynomial P(z) = -224 + 2iz³ - 62 - 6i, we substitute z = -i into the polynomial and show that the result is equal to zero.

P(-i) = -224 + 2i(-i)³ - 62 - 6i

= -224 + 2i(-i)(-i)(-i) - 62 - 6i

= -224 + 2i(i²)(-i) - 62 - 6i

= -224 + 2i(-1)(-i) - 62 - 6i

= -224 + 2i + 62 - 6i - 6i

= -224 + 2i + 62 - 12i

= -162 - 10i

Since P(-i) = -162 - 10i, and the result is equal to zero, we have proven that -i is a root of the complex polynomial P(z).

(b) To find all the roots of the polynomial P(z), we can factorize it by dividing it by (z - root). In this case, since we have already shown that -i is a root, we can divide P(z) by (z + i).

Using polynomial long division:

     -2i

z + i | - 224 + 2iz³ - 62 - 6i

- (- 2iz² - 2i²)

__________________

- 2iz² + 2i² - 62 - 6i

- (- 2iz - 2i²)

__________________

- 2iz + 2i² - 6i

- (- 6i + 6i²)

__________________

8i² - 6i

- (8i)

_____________

-14i

The remainder is -14i.

Therefore, the factorization of P(z) = -224 + 2iz³ - 62 - 6i is:

P(z) = (z + i)(-2iz² + 2i² - 62 - 6i) - 14i

Now, let's solve for the roots of the polynomial by setting each factor equal to zero.

From the first factor, we have:

z + i = 0

z = -i

From the second factor, we have:

-2iz² + 2i² - 62 - 6i = 0

-2iz² + 2(-1) - 62 - 6i = 0

-2iz² - 2 - 62 - 6i = 0

-2iz² - 64 - 6i = 0

2iz² = -64 + 6i

z² = (-32 + 3i)/i

z² = -32i - 3

To express the roots in complex exponential form, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x).

For z = -i, we have:

z = -i = e^(-iπ/2) = cos(-π/2) + isin(-π/2)

For z² = -32i - 3, let's solve for the square roots of -32i - 3:

Let z² = re^(iθ)

Then, (-32i - 3) = re^(iθ)Therefore, r = √((-32)² + (-3)²) = √(1027) and θ = arctan(-3/-32) = arctan(3/32)

So, z = ±√(√(1027)e^(i(arctan(3/32))))

In complex exponential form, the roots of the polynomial P(z) = -224 + 2iz³ - 62 - 6i are:

z = -i, ±√(√(1027)e^(i(arctan(3/32))))

Please note that the exact numerical values of the roots may require further simplification or approximation.

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Answer: For Jack's account, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal (initial deposit), r is the interest rate, and t is the time in years.

So for Jack's account, we have:

I = 17250 * 0.06 * 6.5 = $6,682.50

For Collin's account, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

where A is the amount after t years, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.

In this case, we know that Collin's account earns annual compound interest, so n = 1.

So for Collin's account, we have:

A = 17250 * (1 + 0.06/1)^(1*6.5) = $25,344.55

The interest earned on Collin's account is the difference between the amount after 6.5 years and the initial deposit:

I = 25344.55 - 17250 = $8,594.55

Therefore, Collin will earn more interest than Jack, and the difference is:

$8,594.55 - $6,682.50 = $1,912.05

So Collin will earn $1,912.05 more interest than Jack after 6 years.

Step-by-step explanation: ai helped me

Answer: 6 days

Step-by-step explanation:

1. Multiply 54 1/4 by 2 (We are multiplying my 2 because 3 1/2 hours is half of 7 hours, so you have to multiply to see how much Suzy rode for 7 hours.

2. Now, divide 651 by the answer you get in step 1 to get your answer (simplify if necessary.)

=> 54 1/4 * 2 = 108 1/2

=> 651 / 108 1/2 = 6

I might be wrong but I hope this helps :)