I’ll mark you the brainiest answer ASAP! Which option is equal to the given expression?

Answer:

201

Step-by-step explanation:

177 times 2=354

354-153=201

The type of distribution which is utilized for the nominal data is option  b. Binomial distribution.

The appropriate distribution for nominal data is a binomial distribution.

The binomial distribution is used when the data consists of two possible outcomes.

The two outcomes such as success or failure, heads or tails, or pass or fail.

In nominal data, the categories do not have any inherent order.

And there is no numerical value associated with each category.

The binomial distribution gives the probability of obtaining a certain number of successes in a fixed number of independent trials.

The required probability of success is the same for each trial.

Therefore, option b.  binomial distribution is considered as more appropriate distribution for the nominal data.

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Answer:

Newton's first law

Step-by-step explanation:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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Answer: 160

Step-by-step explanation:

12+37+78

Answer:

Mean: 5

Median: 4.5

Mode: 5

Mean Absolute Deviation: 0.5

Step-by-step explanation:

MEAN:

The mean is the total of the numbers divided by the amount of numbers.

Add them all together: 5 + 4 + 6 + 5 + 4 + 6 + 5 + 5 = 40

Find how many numbers there are: 8

Divide the total of the numbers by the amount of numbers: 40 / 8 = 5

The mean of this data is 5

MEDIAN:

Find the number in the middle. In this case there is no number in the middle (the amount of numbers is even). So we find the average of the two middle numbers: (5 + 4) / 2 = 4.5

The median of this data is 4.5

MODE:

The mode is the number that occurs the most. In this case it is 5.

The mode of this data is 5

MEAN ABSOLUTE DEVIATION:

We know that the mean of this data is 5 so we will skip finding the mean.

Now we need to find the absolute difference of the numbers and the mean.

| 5 - 5 | = 0

| 4 - 5 | = 1

| 6 - 5 | = 1

| 5 - 5 | = 0

| 4 - 5 | = 1

| 6 - 5 | = 1

| 5 - 5 | = 0

| 5 - 5 | = 0

Then we add all of these together: 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 = 4

After that we divide the total by the amount of numbers 4 / 8 = 0.5

The mean absolute deviation of this data is 0.5

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

Answer:

A: yes :)

Step-by-step explanation:

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{22}-\stackrel{y1}{20}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}} \implies \cfrac{2}{-1 +2} \implies \cfrac{ 2 }{ 1 } \implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-2)}) \implies y -20 = 2 ( x +2) \\\\\\ y-2=2x+4\implies {\Large \begin{array}{llll} \end{array}} y=2x+6\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

What is a unit?

Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:

The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:

Length - meter (m)

Time - second (s)

Amount of substance - mole (mole)

Electric current - ampere (A)

Temperature - kelvin (K)

Luminous intensity - candela (cd)

Mass - kilogram (kg)

Now,

As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5

there are always 10 vertical lines which represents a millimeter

and 10 lines means 10 millimeter.

hence,

          The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

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See attachment for math work and answer.

the expected number of students in the randomly chosen student's class is approximately 21.79.

To find E(X), we need to use the formula:
E(X) = ΣxP(X=x)
where Σx represents the sum of all possible values of X and P(X=x) represents the probability of X taking on the value x.
In this case, X can take on values of 20, 22, or 25, with probabilities of 20/67, 22/67, and 25/67, respectively (since there are 20 students in the first class out of 67 total students, 22 students in the second class out of 67 total students, and 25 students in the third class out of 67 total students).
So, using the formula above, we get:
E(X) = (20/67)*20 + (22/67)*22 + (25/67)*25
E(X) = 20*0.2985 + 22*0.3284 + 25*0.3731
E(X) = 21.79
Therefore, the expected number of students in the randomly chosen student's class is approximately 21.79.
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Answer:

164 people

Step-by-step explanation:

100% represents the 150 people who attended last year.

this year , there is an increase of 9% , which will make the total percentage to be 109%.

if ; 100% = 150 people

     109% = ?

cross multiply to get 163.5 the round off to get 164

Answer:

3.21

Step-by-step explanation:

.........................

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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To find the vertical asymptotes of a rational function, we need to set the denominator equal to zero and solve for x.

To find the vertical asymptotes of a rational function, you need to determine the values of x that make the denominator of the function equal to zero.

Let's check the limit of our example function as x approaches each of the vertical asymptotes:

As x approaches 1 from the left side: f(x) approaches negative infinity

As x approaches 1 from the right side: f(x) approaches positive infinity

Therefore, x = 1 is a valid vertical asymptote.

As x approaches 3 from the left side: f(x) approaches positive infinity

As x approaches 3 from the right side: f(x) approaches negative infinity

Therefore, x = 3 is also a valid vertical asymptote.

The values of x that make the denominator zero are the vertical asymptotes of the function.

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In a dataset, the data types of columns can be categorized as qualitative (categorical) or quantitative (numerical).

Qualitative columns, also known as categorical columns, contain data that represents categories or groups. These categories are typically non-numeric and describe attributes or characteristics. Examples of qualitative columns include:

1. Names: People's names, product names, or city names.

2. Gender: Categories such as "Male" or "Female."

3. Color: Categories like "Red," "Blue," or "Green."

4. Occupation: Categories such as "Engineer," "Teacher," or "Doctor."

Quantitative columns, on the other hand, contain numeric data that can be measured or counted. These columns represent quantities or numerical values. Examples of quantitative columns include:

1. Age: Numeric values representing a person's age.

2. Income: Numeric values representing a person's income.

3. Temperature: Numeric values representing temperature readings.

4. Sales: Numeric values representing the amount of sales.

It's important to determine the data type of each column in a dataset as it influences the type of analysis or operations that can be performed on the data.

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Answer:divideing by the whole number

Step-by-step explanation:

The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

Your question is not complete, but most probably your full questions was

Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

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Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

Let x(l) be a band-limited signal with absolute bandwidth B Hz. For each of the signals below, we need to determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B.

a) x(0) + x(t - 1)dx(t)dt:For this signal, let us apply the Fourier transform. The Fourier transform of the first term is 2πX(ω)δ(ω), and that of the second term is e^(-jω)X(ω).

Thus, X(ω) = 2πX(ω)δ(ω) + e^(-jω)X(ω)On rearranging this expression, we get: X(ω) = [1 / (1 - 2πδ(ω))]e^(-jω)Therefore, the signal is not absolutely band-limited because it has components at all frequencies.

Hence, the Nyquist sampling rate cannot be determined.b) x:For this signal, let us consider its Fourier transform. Its Fourier transform will be a scaled version of the Dirac comb function, centered at ω = 0, with a spacing of 2π. Hence, X(ω) = 2πBδ(ω).

The signal is absolutely band-limited with absolute bandwidth B Hz, and hence, the Nyquist sampling rate will be 2B. The Nyquist sampling rate is twice the absolute bandwidth, and so, the sampling rate for this signal will be 2B Hz.

Thus, the answer to the question is as follows:Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

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Answer:

X(X+1)(X+1)

Solution,

x^3-x

take the common,

X(x^2-1)

=X(X+1)(x-1)

You have to use the formula:

a^2-b^2=(a+b)(a-b)

Hope it helps

Good luck on your assignment

Answer:

\(= x(x - 1)(x + 1) \\ \)

Step-by-step explanation:

\( {x}^{3} - x \\ x( {x}^{2} - 1) \\ x( {x}^{2} - {1}^{2} ) \\ = x(x - 1)(x + 1)\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Parallel: AC and DB, BA and CD

Perpendicular: AC and CD, DB and CD, DB and BA, BA and AC

Neither: None

Step-by-step explanation:

Step 1: Find Slopes

Let's first find the slopes of each side of the rectangle, as that will helps us determine which sides are parallel, perpendicular, or neither.

Recall that the formula for finding the slope between two points is \(\frac{y_2 - y_1}{x_2-x_1}\) where \((x_1, y_1)\) and \((x_2,y_2)\) are the coordinates of the two points. To avoid confusion, I will be taking the first point I list as \((x_1,y_1)\) and the second point as \((x_2,y_2)\).

Slope of \(BA\):

\(\frac{-7-(-3)}{-1-(-4)}\\=\frac{-7+3}{-1+4} \\= -\frac{4}{3}\)

Slope of \(AC\):

\(\frac{-4-(-7)}{3-(-1)} \\=\frac{-4+7}{3+1} \\=\frac{3}{4}\)

Slope of \(CD\):

\(\frac{0-(-4)}{0-3} \\=\frac{4}{-3} \\=-\frac{4}{3}\)

Slope of \(DB\):

\(\frac{-3-0}{-4-0} \\=\frac{-3}{-4} \\=\frac{3}{4}\)

Step 2: Determine which sides are parallel, perpendicular, or neither

Now that we found the slopes of the sides, we can determine which sides are parallel, perpendicular, or neither.

Recall that parallel lines have the same slope. \(\bf AC\) and \(\bf DB\), along with \(\bf BA\)and \(\bf CD\), have the same slope, so they are parallel. No other pair of sides has the same slope, so these are our only parallel pairs.

For two lines to be perpendicular, the product of their slopes must be \(-1\). \(\bf AC\) and \(\bf CD\), \(\bf DB\) and \(\bf CD\), \(\bf DB\) and \(\bf BA\), and \(\bf BA\) and \(\bf AC\) \(\bf\)meet that criteria, so they are perpendicular. No other pair of sides meets the criteria, so these are our only perpendicular pairs. Hope this helps!

Answer:

Yes it can!

Step-by-step explanation:

The 2 shortest sides how to be bigger than the longest sides when combined

7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.

Answer:

Step-by-step explanation:

If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.

If this is a non-right angle triangle then yes.

Answer:

Step-by-step explanation:

d im pretty sure

Answer: All real number less than or equal to -3

Step-by-step explanation:

on the graph it shows and reflected abs val with the hight point at -3, therefore any other number will either equal -3 or be less than -3

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

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

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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The required probability is obtained as:

(a) P(X^2 < 1) = 0.8413.

(b) P(X^2 + Y^2 < 1) = 0.7854.

(a) We know that X^2 follows a chi-squared distribution with 1 degree of freedom, which can be written as X^2 ~ chi-squared(1). Therefore, we can find P(X^2 < 1) as:

P(X^2 < 1) = P(Z < √1) (where Z ~ chi-squared(1))

Since the square of a standard normal distribution is a chi-squared distribution with 1 degree of freedom, we can rewrite the above equation as:

P(X^2 < 1) = P(Z < 1) (where Z ~ N(0,1))

Using a standard normal distribution table or calculator, we can find that P(Z < 1) = 0.8413. Therefore, P(X^2 < 1) = 0.8413.

(b) We can rewrite X^2 + Y^2 < 1 as the inequality r^2 < 1, where r is the distance from the origin to the point (X,Y) in the xy-plane. Therefore, we need to find the probability that the point (X,Y) falls within the unit circle centered at the origin.

We can use polar coordinates to express X and Y as:

X = Rcosθ

Y = Rsinθ

where R is the distance from the origin to (X,Y), and θ is the angle between the positive x-axis and the line connecting the origin and (X,Y). Since X and Y are independent N(0,1) random variables, R^2 = X^2 + Y^2 follows a chi-squared distribution with 2 degrees of freedom, which can be written as R^2 ~ chi-squared(2).

Therefore, we can find P(X^2 + Y^2 < 1) as:

P(X^2 + Y^2 < 1) = P(R^2 < 1) (where R^2 ~ chi-squared(2))

Using the cumulative distribution function (CDF) of the chi-squared distribution with 2 degrees of freedom, we can find that:

P(R^2 < 1) = 0.7854

Therefore, P(X^2 + Y^2 < 1) = 0.7854.

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