Can someone tell me if I’m right? Please?

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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y(x) = y_c(x) + y_p(x)

To find the general solution of the given differential equations using the variation of parameters method:

(i) y" - 4y' + 3y = e^x

The complementary solution of the homogeneous equation is found by solving the characteristic equation:

r^2 - 4r + 3 = 0

(r - 1)(r - 3) = 0

The roots are r = 1 and r = 3, so the complementary solution is:

y_c(x) = C1e^x + C2e^(3x)

Now, we need to find the particular solution using the variation of parameters method. Assume the particular solution has the form:

y_p(x) = u1(x)e^x + u2(x)e^(3x)

where u1(x) and u2(x) are functions to be determined.

Differentiating y_p(x), we have:

y_p'(x) = u1'(x)e^x + u1(x)e^x + u2'(x)e^(3x) + 3u2(x)e^(3x)

y_p''(x) = u1''(x)e^x + 2u1'(x)e^x + u1(x)e^x + u2''(x)e^(3x) + 6u2'(x)e^(3x) + 9u2(x)e^(3x)

Substituting y_p(x), y_p'(x), and y_p''(x) back into the original equation, we get:

(u1''(x)e^x + 2u1'(x)e^x + u1(x)e^x + u2''(x)e^(3x) + 6u2'(x)e^(3x) + 9u2(x)e^(3x))

4(u1'(x)e^x + u1(x)e^x + u2'(x)e^(3x) + 3u2(x)e^(3x))

3(u1(x)e^x + u2(x)e^(3x)) = e^x

Now, we equate the coefficients of like terms on both sides of the equation:

e^x terms:

u1''(x) - 2u1'(x) + u1(x) = 1

e^(3x) terms:

u2''(x) + 6u2'(x) + 9u2(x) = 0

Solve these two differential equations to find u1(x) and u2(x). Once you have u1(x) and u2(x), substitute them back into the particular solution:

y_p(x) = u1(x)e^x + u2(x)e^(3x)

Finally, the general solution is given by:

y(x) = y_c(x) + y_p(x)

(ii) y" - 2y' + y = e^x / (x^2 + 1)

The process is similar to the first equation, but with a slight difference in the particular solution. Assume the particular solution has the form:

y_p(x) = u1(x)e^x + u2(x)e^xln(x^2 + 1)

Differentiate y_p(x) and substitute it back into the original equation to find u1(x) and u2(x). Then the general solution is given by:

y(x) = y_c(x) + y_p(x)

Note: Solving the differential equations for u1(x) and u2(x) in both cases can be quite involved, and the exact form of the particular solution may vary depending on the specific calculations.

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Jade's mother is the sun of Jade because she motivated Jade against race and gender, class and privilege, and fear and courage. Something is discomforting about a sun that gives no heat but keeps shining. " In this comparison, Jade's mother is the sun. So the option 3 is correct.

While expressing the complicated emotions of an aspirational, devoted girl, Jade's narrative voice offers riveting insights on the intricacies of race and gender, class and privilege, and fear and courage. Watson's story, which brims with empathy and wisdom, extols the ability of creative expression to reimagine and transform the world.

The many individuals who find themselves in the world looking for themselves are addressed in Watson's exquisitely written book. Piecing Me Together is a novel about how young people deal with the struggles and pain of daily life while remaining entire and true to themselves. It is both timely and timeless.

The reason why Jade's mother is said to as the sun of Jade is because she inspired Jade to overcome prejudices related to class, privilege, and fear.

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The complete question is:

Consider this excerpt from chapter 39:

Something is discomforting about a sun that gives no heat but keeps shining. " In this comparison, who is the sun?

1. The tour guide

2. Maxine

3. Jade's mother

4. The symphony members

Answer:

AC = 8 The classification is isosceles

Step-by-step explanation:

The amount received at the end when $1000 is compounded daily is more that the amount received when $1000 is compounded semiannally by $2.25

The formula below should be applied in order to calculate the compound interest of a certain investment:

X = Initial value (1 + interest rate / number of compositions) ^ years x number of compositions

Assuming a $1,000 investment with daily interest compounded at 3% over a period of eight years, the formula would be as follows:

X = 1,000 x (1 + 3/365) ^ (8 x 365)

X = 1,271.24

On the other hand, the calculation would apply as follows in the case of an investment of $1,000 earning compound interest at a rate of 3% every six months for an eight-year period:

X = 1,000 x (1 + 3/2) ^ (8 x 2)

X = 1,268.99

The amount received at the end when $1000 is compounded daily is more that the amount received when $1000 is compounded semiannally by ( 1,271.24 - 1,268.99 ) = $2.25

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Answer:

135 degrees

Step-by-step explanation:

Answer:

135. isosceles triangles have two equal sides/angles. <CBD is 135, from adding 70 and 65.

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

Answer:

x < - 9

Step-by-step explanation:

- 4x > 36

divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.

x < - 9

\(\boldsymbol{\sf{-4x > 36 }}\)

Divide both sides by −4. Since −4 is <0, the inequality direction is changed.

\(\boldsymbol{\sf{x < \dfrac{36}{-4} }}\)

Divide 36 by −4 to get −9.

\(\boxed{\boldsymbol{\sf{x < -9}}}\)

Answer:  1:30 PM

It takes 30 minutes

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

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

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

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

Answer: D

Step-by-step explanation:

Mean is the average of all numbers, and spread is the range of the data set.

Mean:

2+3+4+4+7=20

20/5=4

The mean is 4.

Spread:

Minimum 2

Maximum 7

7-2=5

The spread is 5.

Either way, even if you didn't know what the center was, spread has 4 different options meaning you can just solve for spread if needed. Just a heads up!

9514 1404 393

Answer:

  (3)  h < k

Step-by-step explanation:

In this form, h represents the amount by which the square root function is translated to the left (3), and k represents the amount of translation upward (4).

The appropriate relation is ...

  3 < 4

  h < k

The set can be expressed as follows:

a. For set C of 4-digit multiples (C). C=(A∩B)∩U

b. For Set D of 4-digit multiples (B). D=(A∪B)∩U

c. For Set E of 4-digit numbers (A). E=U\(A∪B)

A set is an array of numbers, elements, numbers, shapes, items etc that fit into a particular description.

Set is a very important topic and it helps us find a way to arrange elements into their specified fields.

In conclusion, the above listed set elements are the required answers to the specified set problem

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Answer:

The answer is n = - 4.. I hope it will help :)

Answer:

52.26 cm

Step-by-step explanation:

Since the semicircle is a part of the rectangle, the side of the rectangle where the semicircle is put is eliminated. We know the diameter of the circle, if is 6 cm, but the formula of a semicircle is пr^2 / 2. To find the radius, we divide 6cm by 2, and then we square 3 (that's what we got), and get 9. We  simply multiply it by п, which would give us 28.26. The area of the rectangle is 4 * 6 = 24, and the area of the semicircle is 28.26. Now, we just need to add them: 24 + 28.26 = 52.26 cm, and that would be your answer.

Tell me if I'm wrong :)

To determine an expression in terms of m and l for the moment of inertia of the masses about axis a, we need some additional information about the configuration of the masses and the axis.

The moment of inertia depends on the distribution of masses relative to the axis of rotation. It is a measure of an object's resistance to rotational motion. The formula for the moment of inertia varies depending on the specific shape and distribution of masses.

If you can provide more details about the arrangement of masses and the axis of rotation, I can help you derive the expression for the moment of inertia in terms of m and l.

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The surface area of the triangular base prisms is 435.6 cm².

The prism above is a triangular base prism. Therefore, the total surface area of the triangular base prims can be found as follows:

surface area of a triangular prism = (a + b + c)l + bh

where

Therefore,

a = 10 cm

b = 12 cm

c = 15.6 cm

l = 11 cm

surface area of a triangular prism = (10 + 12 + 15.6)11 + 10 × 12

surface area of a triangular prism = 37.6 × 1 1 + 22

surface area of a triangular prism = 413.6 + 22

surface area of a triangular prism = 435.6 cm²

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Answer:

6f-15

Step-by-step explanation:

First distribute 3/2.

3/2(4) =6

3/2(-10) =15

So, the answer should be 6f-15.

Let me know if you do not understand or need further explanation :)

Answer:

i think its -10

Step-by-step explanation:

hope im not wrong

Answer:

It should be (3, 6)

Step-by-step explanation:

(x-3)(x+3)/(x-3) --> (x-3) cancels out because the numerator and the denominator both have it --> the hole would be at x = 3

plug 3 back into the equation --> delete the (x-3) from the equation which will result to (x+3)/0 --> y would be 6 since 3+3=6

Answer:

x = 8.3.

Step-by-step explanation:

According to solve for the length of x, we need to use SOH CAH TOA.

This means...

Sine: Opposite over Hypotenuse

Cosine: Adjacent over Hypotenuse

Tangent: Opposite over Adjacent

In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.

cosine(41) = x / 11

x = (cosine(41)) * 11

x = 0.7547095802 * 11

x = 8.301805382

The question asks us to round to the nearest tenth.

So, your final answer is that x = 8.3.

Hope this helps!

Answer:

solution,

AC=11

BC=X

By trigonometry,

We know that

\(cos \: theta = \frac{base}{hypotenuse} = \frac{bc}{ac} \\ \: \: \: \: \: \: \: \: \: cos \: 41 = \frac{x}{11} \\ \: \: \: \: \: x = 11 \: cos \: 41 \\ \: \: \: \: \: x = 11 \times 0.754 \\ \: \: \: \: x = 8.3\)

Hope this helps...

Good luck on your assignment...

let Length=l

therefore breadth=l-2

A/Q

P=24

2(l+b)=24

2(l+l-2)=24

2(2l-2)=24

4l-4=24

4l=28

l=28/4

=7

 y = 3/8x + 1/4 is equation of linear equation .

What in mathematics is a linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. with m the slope and b the y-intercept as the single constant and a first-order (linear) term.

                   The aforementioned is occasionally referred to as a "linear equation of two variables," where y and x are the variables.

                 There are three main types of linear equations: point-slope form, standard form, and slope-intercept form.

3/2x -4y+1=0

  -4y = -3/2x - 1

    y = 3/8x + 1/4

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The complete question is -

Which equation is equivalent to 3/2x -4y+1=0

The distribution of the values obtained from a simple random sample of size n from the same population is incorrect.

The sampling distribution of a statistic of size n is the distribution of the values obtained from a simple random sample of size n from the same population.

The sampling distribution is the process of getting a sample through simple random techniques from the sample population.

So, it is incorrect that the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.

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The length of the radius of cone A. is \(\frac{\pi}{6}\).

The lateral surface area of cone A is a sector with central angle 6 radians and radius π.

We can use the formula for sector area to find the lateral surface area of the cone.

Area of sector = θ/2π×π²

where θ is the central angle and π is the radius.

Area of cone’s lateral surface area (L) =θ/2π×2πr=rθ.

So, r = L/θ = π/6 (when L=π and θ=6 radians).

The length of the radius of cone A is π/6 which is approximately 0.524.

Therefore, the length of the radius of cone A is \(\frac{\pi}{6}\), when unwrapped, given that the lateral surface area of cone A is a sector with central angle 6 radians and radius pi.

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the width of the frame is 0.806 inches.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given this, Travis decided to make a frame for his birthday. The frame will be cut out of a piece of steel, and the final area of the frame should be 30in².

Since,

Area of frame = total area - cut out area

In our case, it is given that,

Total area = (11+2x)(6+2x)in²

cut out area = 11*6 = 66

So,

30 = (11+2x)(6+2x) - 66  

(11+2x)(6+2x) = 96

66 + 12x +22x +4x² = 96

4x² + 34x -30 = 0

x = 0.806 in

therefore. the width of the frame is 0.806 inches.

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Complete question:

The probability of drawing at least 7 clubs in 15 draws from a standard deck of 52 cards is approximately 0.496.

The number of ways to draw 7 or more clubs in 15 draws can be found by using the cumulative distribution function for the binomial distribution. This distribution models the number of successful outcomes (clubs) in n independent trials (card draws), each with the same probability of success (drawing a club). The cumulative distribution function gives the probability of getting a certain number of successful outcomes or fewer.

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Answer:

a=118

b=64

q=84

v=84

Step-by-step explanation:

b=62

a=18-=b

a=180-62

a=118

q=180-s or r

q=180-96

q=84

v=q

v=84

Answer:

5 dogs

1 1/4 cups per bottle

Step-by-step explanation:

10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5

45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4