Find the standard deviation. {0, 4, 7, 1, 3, 5, 2}

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

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My favorite subject is Math, my favorite animal is a dog, and my favorite color is blue.

Answer:

My favorite subject is biology, my favorite animal is a quokka, and my fav color is pink :)

Step-by-step explanation:

Answer:   -2

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

Explanation:

The equation y = 5x^2-10x+3 is in the form y = ax^2+bx+c

a = 5

b = -10

c = 3

Use the values of 'a' and 'b' to compute the following

h = -b/(2a)

h = -(-10)/(2*5)

h = 1

This is the x coordinate of the vertex point. Use this to find the y coordinate of the vertex.

y = 5x^2-10x+3

y = 5*1^2-10*1+3

y = -2

The vertex is located at (1, -2)

This is the lowest point since a = 5 is a positive value

Positive values of 'a' mean the parabola opens upward, and we have a lowest point at the bottom of the parabola.

So the input x = 1 leads to the smallest output y = -2.

This is the smallest or minimum value of f(x).

Answer:

C. 3 a ^2 b^11 /2

Step-by-step explanation:

Answer:

i hope this helps

Step-by-step explanation:

c

Answer:2/5

Step-by-step explanation:

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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Answer:

y=mx+b

y=1x+2

to find b all u have to look for is where it hits the y line and to fine the m u have ti choose a pint and you do the rise/run

K = 10^(2.5186) = 330.93

The given sequence is not an arithmetic or geometric sequence since there is no common difference or ratio between the terms. However, we can observe that the sequence alternates between positive and negative values and that the absolute value of the terms is increasing as we move through the sequence.

We can express this pattern using an exponential function of the form a(n) = (-1)^(n+1)*b, where b is the absolute value of the first term. Substituting the values from the sequence, we get:

a(1) = (-1)^(1+1)*18 = 18

a(2) = (-1)^(2+1)*12 = -12

a(3) = (-1)^(3+1)*8 = 8

Therefore, the formula for the nth term of the given sequence is:

a(n) = (-1)^(n+1)*18*(3/2)^(n-1)

To find the value of K, we need to solve the equation 2.5186 = log(K) for K. Taking the antilogarithm of both sides, we get:

K = 10^(2.5186) = 330.93

Rounding this to the nearest integer, we get:

K ≈ 331.

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Answer:

5=5=5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.

By the Pythagorean theorem, it follows that the answer is B.

The volume of the solid that lies within the sphere x2 y2 z2=1, above the xy plane, and outside the cone z=√(8x2/y2 is 4π/5.

To solve the problem, we first need to find the limits of integration. The cone intersects the sphere at z=√(8x2/y2) and x2 + y2 + z2 = 1, so we can solve for y in terms of x and z:

x2 + y2 + z2 = 1

y2 = 1 - x2 - z2

y = ±√(1 - x2 - z2)

We only need the upper half of the sphere, so we take the positive square root:

y = √(1 - x2 - z2)

Since the cone is defined by z=√(8x2/y2), we can substitute this into the equation for y to get:

√(1 - x2 - z2) = √(8x2/(z2 - x2))

Squaring both sides gives:

1 - x2 - z2 = 8x2/(z2 - x2)

(z2 - x2) - x2 - z2 = 8x2

2x2 + 2z2 = z2 - x2

3x2 = z2

So the cone intersects the sphere along the curve 3x2 = z2. Since we are only interested in the portion of the sphere above the xy plane, we can integrate over the region x2 + y2 ≤ 1, 0 ≤ z ≤ √(3x2):

∫∫∫V dV = ∫∫R ∫0^√(3x^2) dz dA

where R is the region in the xy-plane given by x2 + y2 ≤ 1. We can switch to cylindrical coordinates by letting x = r cos θ, y = r sin θ, and dA = r dr dθ, so the integral becomes:

∫0^2π ∫0^1 ∫0^√(3r^2) r dz dr dθ

Evaluating the inner integral gives:

∫0^√(3r^2) r dz = 1/2 (3r^2)^(3/2) = 3r^3/2

Substituting back and evaluating the remaining integrals gives:

∫0^2π ∫0^1 3r^3/2 dr dθ = 2π ∫0^1 3r^3/2 dr = 2π [2/5 r^(5/2)]_0^1 = 4π/5

So, the volume of the solid is 4π/5.

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Answer:

52

Step-by-step explanation:

The x-coordinate and y-coordinate of the centroid is approximately 0.323 and 1.244 respectively.

To determine the x- and y-coordinates of the centroid of the shaded area,

Calculate the centroid coordinates for each individual shape

and then find the weighted average of those coordinates based on the area of each shape.

Let's break down the shaded area into two shapes: a rectangle and a semicircle.

Rectangle,

The width of the rectangle is 'a' and the height is 'c'

The centroid of a rectangle is located at the midpoint of its height and width.

x-coordinate of rectangle centroid

= a/2

= 1.30/2

= 0.65

y-coordinate of rectangle centroid

= c/2

= 5/2

= 2.50

Semicircle,

The radius of the semicircle is 'b'

The centroid of a semicircle is located at a distance of 4/3πr from the base of the semicircle.

x-coordinate of semicircle centroid = 0

y-coordinate of semicircle centroid

= (4/3πb)/2

= (4/3π × 2.25)/2

≈ 3.77

Now, find the weighted average of the centroids based on the area of each shape.

Total area of the shaded region = area of rectangle + area of semicircle

Total area = a × c + (1/2 × π × b²)/2

Total area = 1.30 × 5 + (1/2 × π ×2.25²)/2

Total area ≈ 9.09 + 3.98

Total area ≈ 13.07

Now ,calculate the weighted centroid coordinates,

x-coordinate of centroid = (area of rectangle × x-coordinate of rectangle centroid + area of semicircle × x-coordinate of semicircle centroid) / total area

x-coordinate of centroid = (1.30 × 5 × 0.65 + (1/2 × π × 2.25²)/2 × 0) / 13.07

x-coordinate of centroid ≈ 4.225 / 13.07

x-coordinate of centroid ≈ 0.323

y-coordinate of centroid

= (area of rectangle × y-coordinate of rectangle centroid + area of semicircle × y-coordinate of semicircle centroid) / total area

= (1.30 × 5 × 2.50 + (1/2 × π × 2.25²)/2× 3.77) / 13.07

≈ 16.25 / 13.07

≈ 1.244

Therefore, the x-coordinate of the centroid is approximately 0.323 and the y-coordinate of the centroid is approximately 1.244.

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The information provided is insufficient to determine the coordinates of the centroid of the shaded area. The specific shape of the shaded area and its orientation in the coordinate plane are necessary information to solve this problem.

The original question involves determining the x- and y-coordinates of the centroid of the shaded area for given values of c = 5, a = 1.30, and b = 2.25. However, the question is missing information about the specific shape of the shaded area, which is crucial to calculate its centroid coordinates. Typically, for basic geometric shapes, the formula used to calculate the centroid is different for each type of shape.

For instance, if the shaded area is a triangle, its centroid coordinates (x, y) can be determined as follows:

Where a, b, and c represent the x-coordinates of the vertices of the triangle. However, without information about the shape, an accurate calculation of the centroid cannot be made.

It's also important to note that the provided references do not apply directly to this problem, as they concern different mathematical contexts and principles.

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Therefore, A graph without labels and scales is practically meaningless, even though a data table accompanies it. As a result, the given statement is false.

False. Labels and scales are not optional if a data table accompanies the graph.  A graph is a graphical representation of data that connects a series of dots, making it simpler for humans to interpret the information. Graphs display a variety of relationships among data sets and provide an overview of the data. They make it easy to determine trends and patterns in the data, making data analysis easier. A graph is made up of various elements, such as a title, axis labels, scales, a legend, and so on. In conclusion, labels and scales are not optional if a data table accompanies the graph.

Therefore, A graph without labels and scales is practically meaningless, even though a data table accompanies it. As a result, the given statement is false.

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Given

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?

Solution

The final answer

The minimum expected is 8.76% Euros

Step-by-step explanation:

$1.79 for 100 grams.

450 grams = 4.5 × 100

so, the price is also 4.5 times that if 100 grams.

the price for 450 grams is

4.5 × 1.79 = $8.055 ≈ $8.06

Answer:

its 24

Step-by-step explanation:

delta math said it was right

Answer is 12.

Possible Outcomes:

It is a list of all the resulting possibilities from an event.

(Here),

when he flips the coin, there are 2 outcomes = {front, back}

When he rolls a die, there are 6 outcomes = {1, 2, 3, 4, 5, 6)

For every outcomes of coin there are 6 outcomes of a die.

So, Possible outcomes = 2 * 6 = 12.

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The probability that the sampling error would be less than or more than 1.5 seconds is approximately 0.0070, or 0.70%.

To find the probability that the sampling error would be less than or more than 1.5 seconds for Majesty Video Production Inc., we'll use the z-score formula and the properties of the normal distribution.

Step 1: Identify the given information:
Mean (µ) = 25 seconds
Population standard deviation (σ) = 2 seconds
Sample size (n) = 13 ads

Step 2: Calculate the standard error (SE) of the sample mean:
SE = σ / √n = 2 / √13 ≈ 0.5547

Step 3: Calculate the z-score for the given sampling error (1.5 seconds):
z = (sampling error - mean) / SE = (1.5 - 0) / 0.5547 ≈ 2.7027

Step 4: Find the probability associated with the z-score from the normal distribution table:
P(z < 2.7027) ≈ 0.9965

Since we need the probability that the sampling error would be less than or more than 1.5 seconds, we'll calculate the probability of the sampling error being greater than 1.5 seconds:
P(z > 2.7027) = 1 - P(z < 2.7027) = 1 - 0.9965 = 0.0035

Now, add the probabilities of the sampling error being less than -1.5 seconds and more than 1.5 seconds:
P(z < -2.7027) = 0.0035 (symmetry property of the normal distribution)
Total probability = P(z < -2.7027) + P(z > 2.7027) = 0.0035 + 0.0035 = 0.0070

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In the inpatient setting, a CPT code (Current Procedural Terminology) would typically be assigned by the hospital for a procedure code to accurately bill for the services provided during the patient's stay.

This code is used to describe the specific medical service or procedure performed, such as a surgery or diagnostic test. It is important for hospitals to accurately assign CPT codes to ensure proper billing and reimbursement for the services provided. Additionally, the use of standardized CPT codes helps to facilitate communication and record-keeping across different healthcare providers and facilities.

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In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

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

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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The altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.

What is the altitude?

The height of an object or point in relation to sea level or ground level.

Part A:

To create a table for the given equation, we substitute the given values of x in the equation and calculate the corresponding values of y:

x y = -128x + 3,840

0 3,840

5 3,200

8 2,624

10 2,304

30 0

Part B:

To find the altitude after 5 minutes, we substitute x = 5 in the given equation:

y = -128(5) + 3,840

y = 3,200

So the altitude of the airplane after 5 minutes of descending is 3,200 feet.

To find the altitude after 30 minutes, we substitute x = 30 in the given equation:

y = -128(30) + 3,840

y = 0

The altitude of the airplane is decreasing as time (x) increases, as given by the negative slope (-128) of the equation.

At 5 minutes, the airplane has descended to an altitude of 3,200 feet, which is still relatively high.

At 30 minutes, the altitude has decreased to 0, which means the airplane has landed on the ground.

Hence, the altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.

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The correct answer is option (b) 6.1 inches, which is the closest rounded value to the calculated height.

To determine the height in inches after 5 bounces, we need to calculate the successive heights of each bounce. Since the basketball rebounds to a height that is 4/7 (or approximately 0.5714) of the previous height, we can use this ratio to find the height after each bounce.

Starting with the initial height of 100 inches, we can calculate the height after each bounce as follows:

1st bounce: 100 inches * 4/7 = 57.14 inches

2nd bounce: 57.14 inches * 4/7 = 32.49 inches

3rd bounce: 32.49 inches * 4/7 = 18.56 inches

4th bounce: 18.56 inches * 4/7 = 10.54 inches

5th bounce: 10.54 inches * 4/7 = 6.01 inches

Therefore, after 5 bounces, the height of the basketball would be approximately 6.01 inches. The correct answer is option (b) 6.1 inches, which is the closest rounded value to the calculated height.

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Answer:

slope is -3 or, so false

Step-by-step explanation:

Answer:

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Step-by-step explanation:

Given

∠1 = 70°

To determine

We need to determine angle ∠5

From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.

As angle ∠5 is the corresponding angle of angle ∠1 = 70°.

Therefore,

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Answer:

y = -2x + 3

Step-by-step explanation:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

The volume of cube with a side length of 5 meters is 125 cubic meters, while volume of cube with side length of 4 meters is 64 cubic meters. The difference between the volumes of two cubes is 61 cubic meters.

The volume of a cube is given by V = \(s^3\), where s is the side length of the cube. To find the difference between the volumes of two cubes, we can subtract the smaller volume from the larger volume.

So, the volume of the cube with side length 5 meters is V1 = \(5^3\) = 125 cubic meters, and the volume of the cube with side length 4 meters is V2 = \(4^3\) = 64 cubic meters.

The volume of a cube is given by \(s^3\), where s is the length of the side of the cube. The volume of a cube with a side length of 5 meters is \(5^3\) = 125 cubic meters, and the volume of a cube with a side length of 4 meters is \(4^3\) = 64 cubic meters.

The difference in volumes is V1 - V2 = 125 - 64 = 61 cubic meters. Therefore, the difference in volumes of the two cubes is 61 cubic meters.

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