Statistics involving collecting, organizing, and summarizing data is called ______. group of answer choices

The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.

Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.

Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

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We can say the day with the highest views is roughly 34x more than the day with the lowest number of views.

So, a day with the highest views: 9.34 × 105 = 980.7

So, we can say the day with the highest views is roughly 34x more than the day with the lowest number of views.

Therefore, we conclude the day with the highest number of views is roughly 34x more than the day with the lowest number of views.

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a. To find the relationship between Q and p, we can express Q as a function of p using the equation Q = e^(-BQ).

b. Expressing p as a function of Q, we have p = e^(-BQ).

c. To differentiate e^(-BQ) with respect to Q, we use the chain rule. The derivative is dp/dQ = -B * e^(-BQ).




The log-linear demand for a product can be expressed as ln(Q) = -BQ, where Q represents the quantity demanded and B is a constant coefficient. In order to find the relationship between price (p) and quantity (Q) and calculate the derivative dp/dQ, let's follow the steps below:

a. Express Q as a function of p:

To find the relationship between Q and p, we need to exponentiate both sides of the equation ln(Q) = -BQ. This gives us:

Q = e^(-BQ).

Now, we can solve for Q in terms of p by substituting p for Q:

p = e^(-Bp).

To calculate dp/dQ, we differentiate the expression with respect to Q:

dp/dQ = d/dQ(e^(-BQ)).

b. Express p as a function of Q and find dp/dQ:

To express p as a function of Q, we start with the equation p = e^(-Bp) and solve for p:

p = e^(-BQ).

To find dp/dQ, we differentiate the expression with respect to Q:

dp/dQ = d/dQ(e^(-BQ)).

c. Show mathematical steps for differentiation:

To differentiate e^(-BQ) with respect to Q, we can use the chain rule. Let's denote f(Q) = e^(-BQ), then:

df/dQ = (df/dQ)(dQ/dQ) = (d/dQ(e^(-BQ))) * 1 = -B * e^(-BQ).

Therefore, dp/dQ = -B * e^(-BQ).

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Answer:

A. 4 / 9

Step-by-step explanation:

4/15 ÷ 3/5

= ( 4 / 15 ) x ( 5 / 3 )

15 = 5 x 3

= ( 4 / 3 x 5 ) x ( 5 / 3 )

= ( 4 x 5 ) / ( 3 x 3 x 5 )

= 4 / 3 x 3

= 4 / 9

Answer:

Step-by-step explanation:

4 / 15 ÷ 3 / 5 = ?

First, we need to find common denominators.

Both fractions need denominators of 15.

(Multiply 3/5 by 3)

4 / 15 ÷ 9 / 15

Second, find the reciprocal of 9/15, or the opposite.

9 / 15 ~ 15 / 9.

Change the division sign to a multiplication sign.

Third, multiply the fractions:

4 / 15 · 15 / 9 = 60 / 135

Lastly, simplify by dividing the product by 15:

4/9.

A. 4/9 is your simplified answer

Answer:

24t = amount earned

Step-by-step explanation:

12 dollars per hour

so 12*t

since coach would double all the money they earned, it would mean multiplying 12t by 2 which would make the answer 24t= amount earned

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Hey there! :)

Answer:

25 pieces.

Step-by-step explanation:

To solve for the amount of pieces that can be cut, we must divide fractions:

15 ÷ 3/5 = x

When dividing fractions, you must multiply by the reciprocal. Therefore:

\(\frac{15}{1}* \frac{5}{3} = \frac{75}{3} = 25\)

Therefore, 25 pieces can be cut.

Answer:

25 3/5 inch long pieces

Step-by-step explanation:

If you have 15 inches and you cut it into less than inch pieces, you know for sure that it will be more than 15 but less than 30 because the peices are more than half an inch.

to find the answer, you divide 15 by 3/5 because each piece is 3/5 inches long

when you put this into a calculator 15/(3/5) you will get the answer 25.

So, ANSWER = 25 pieces of rope that are 3/5 inches long

Hope this helps and you will understand if you face a problem similar to this :)

Answer:

3.4 cm

Step-by-step explanation:

average is the sum of all the values then divided by the number of values.

The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.

The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.

Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.

Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm

Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm

Therefore, the average rainfall for the given values is 3.40 cm.

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A) The expected value of X is 3.93.

B) The probability of at most two successes in six independent Bernoulli trials with p = 0.4 is 0.626.

C) The standard deviation of X is 0.89.

A. The expected value of a random variable is the sum of the products of each possible outcome and its probability. In the given probability distribution, we have four possible outcomes: 2, 4, 6, and 8, with respective probabilities of 5/58, 20/58, 13/58, and 20/58. We can calculate the expected value of X using the formula:

E(X) = Σ(xi * P(X = xi)), where xi represents each possible outcome.

Therefore, E(X) = (2 * 5/58) + (4 * 20/58) + (6 * 13/58) + (8 * 20/58) = 3.93

B. In Bernoulli trials, we have two possible outcomes, success or failure, with respective probabilities of p and q = 1 - p. The probability of at most two successes in six independent Bernoulli trials with p = 0.4 can be calculated using the binomial distribution formula:

P(X ≤ 2) = Σ(i=0 to 2) (6Ci * 0.4i * 0.6(6-i)), where Ci represents the combination of selecting i items from a set of six.

Therefore, P(X ≤ 2) = (6C0 * 0.40 * 0.62) + (6C1 * 0.41 * 0.61) + (6C2 * 0.42 * 0.60) = 0.626

C. The standard deviation of a probability distribution is a measure of how much the outcomes deviate from the expected value. It is calculated using the formula:

σ = √(Σ(xi - μ)2 * P(X = xi)), where μ represents the expected value.

In the given probability distribution, we have four possible outcomes with respective probabilities and deviations from the expected value:

xi 0 1 2 3

P(X=xi) 0.1 0.1 0.6 0.2

(xi - μ)2 3.24 1.44 0.04 1.44

Using the above values, we can calculate the standard deviation of X as follows:

σ = √((3.24 * 0.1) + (1.44 * 0.1) + (0.04 * 0.6) + (1.44 * 0.2)) = 0.89

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Answer:

i hope you figure it out the answer

Step-by-step explanation:

did you remember me im jade

Hi!

Your answer is Infinite.

Here's why:

When you solve this system of equations your final answer will come down to x=x.

When this happens you know that the solution amount is infinite!

I hope this helps!

Feel free to give brainliest of you think this answer deserves it!

Answer: (4,9)

Step-by-step explanation:

Answer:

14,085m³

Step-by-step explanation:

9*5*13

9*5=45

45*313=14,085

14,085

Answer:

\(10^{14}\)

Step-by-step explanation:

In scientific notation, the national debt in 2013 was approximately

\(1.67 \times 10^{13}\)

You can see this by taking the decimal point between the 1 and 6 and moving it 13 places to the right.

The smallest power of 10 that will be larger than this number is  \(10^{14}\).

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

Answer:

\(x=5/3\)

Step-by-step explanation:

\(9x+1=16 \\ \\ 9x=15 \\ \\ x=5/3\)

Answer:

9/17 or 52.9% or likely

Step-by-step explanation:

Quadrilateral ABCD is a square.

A quadrilateral is a four-sided polygon with four angles. It is a two-dimensional shape that can be either convex or concave. Quadrilaterals are classified according to their sides and angles.

Examples of quadrilaterals include squares, rectangles, rhombi, trapezoids, and parallelograms.

Quadrilaterals can be further divided into special types such as squares, rectangles, parallelograms, trapezoids, and kites.

It can be proved that a Quadrilateral ABCD is a square by showing that the diagonals of the quadrilateral are perpendicular and congruent.

Distance between A and C:

\($d = \sqrt{(3 - (-3))^2 + (-2 - 2)^2} = \sqrt{6^2 + 4^2} = \sqrt{36 + 16} = \sqrt{52}$\)

Distance between B and D:

\($d = \sqrt{(5 - 3)^2 + (-2 - (-2))^2} = \sqrt{2^2 + 4^2} = \sqrt{4 + 16} = \sqrt{20}$\)

Since the distances are equal, the diagonals of the quadrilateral are congruent.

Slope of AC:

\($m = \frac{(-2 - 2)}{(3 - (-3))} = \frac{-4}{6}$\)

Slope of BD:

\($m = \frac{(-2 - (-2))}{(5 - 3)} = \frac{-4}{2}$\)

Since the slopes are negative reciprocals, the diagonals of the quadrilateral are perpendicular.

Since the diagonals of the quadrilateral are congruent and perpendicular, the quadrilateral is a square.

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The combined area of the four removed triangles is 48 sq.units. Answer: 48

We need to find out the combined area of the four removed triangles, in square units. Given: AB = 12 units.

Let's consider the given square, and let's draw an altitude BD and also draw perpendiculars to BD from the three vertices A, C and D.

Let AB = x cm. Area of square = x² sq.cm.

Now, we are cutting a triangle with base x and height x, which is a right-angled triangle. Hence, area of each removed triangle = (1/2) * x * x = (x²/2) sq.cm.

Now, BD = x/√2. Area of rectangle = AB * BD = 12 * 12/√2 = 72√2 sq.cm.

Now, area of 4 triangles = (x²/2) + (x²/2) + (x²/2) + (x²/2) = 2x² sq.cm.

We know that, Area of rectangle = Area of 4 triangles + Area of square => 72√2 = 2x² + x² => 72√2 = 3x² => x² = 24√2 cm² => x = √(24 * 2) cm = √(48) cm = 4√3 * √2 cm.

Area of 4 triangles = 2x² sq.cm = 2 * 24 cm² = 48 sq.cm.

Hence, the combined area of the four removed triangles is 48 sq.units. Answer: 48.

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Using the Law of Cosines, the missing angle X is calculated as; 70.53°

The law of cosines is used to find the missing parts of an oblique triangle (not rectangle) when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.

This law of cosines is given by the formula;

c² = a² + b² - 2ab cos C

We want to find the unknown angle X and we have;

22² = 18² + 20² - 2(18 * 20) cos X

484 = 324 + 400 - 720 cos X

724 - 484 = 720 cos X

cos X = (724 - 484)/720

cos X = 0.3333

X = cos⁻¹0.3333

X = 70.53°

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Answer:

x=33°

Step-by-step explanation:

(x-1)+x=x+32 (ext angle of a triangle)

x-1+x=x+32

x+x-x=32+1

x=33

Answer:

true

Step-by-step explanation:

genotypes are genes you get and phenotype are traits that you get

Answer: B. a summer dance intensive

Explanation: A summer dance intensive is a program specifically designed to provide intensive training in various dance styles and techniques. It offers a focused and immersive experience for aspiring dancers to enhance their skills, learn new choreography, and gain exposure to different dance genres, which can broaden Elisa's repertoire and help her discover new interests.. In addition, it allows for networking and performance opportunities which allows Elisa to demonstrate her new skills to an audience of fellow dancers, instructors, and industry professionals.

Answer:

A

Step-by-step explanation:

- 5x + 4 > 9 ( subtract 4 from both sides )

- 5x > 5

Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity.

x < - 1

Which is represented by the given number line

Answer:

8x + 6

Step-by-step explanation:

1/2(16x + 2) + 5

(1/2 × 16x + 1/2 × 2) + 5

8x + 1 + 5

8x + 6

That should be the answer.

Answer:

4

Step-by-step explanation:

2+5+8+0+5=20

20÷5=4

have a good day

By multiplying the first equation by 2 and the second equation by -3, Alvin seeks to determine the number of solutions in his system of equations using the linear combination 9x + 4y.

Alvin's approach of multiplying the first equation by 2 and the second equation by -3 is aimed at manipulating the system of equations to reveal the number of solutions. By performing these operations, Alvin obtains the linear combination 9x + 4y. The coefficients 9 and 4 in this linear combination represent the constants by which the variables x and y are multiplied. The resulting expression, 9x + 4y, allows Alvin to analyze the coefficients and infer the number of solutions. Different combinations of coefficients could indicate different numbers of solutions, such as one unique solution, infinitely many solutions, or no solution at all.

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Answer:

I think the equation is this

a_n = -n^2/2 + 13n/2 - 5

If this helps the 5th term is 15

Hope this helps :)

The open interval of convergence is 1 then attached image.

We now approach series from a different perspective: as a function. Given a value of  x , we evaluate  f(x)  by finding the sum of a particular series that depends on  x  (assuming the series converges). We start this new approach to series with a definition.

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

Let  {\(a_{n}\)}  be a sequence, let x be a variable, and let c be a real number.

∑(n=0 to ∞) \(a_{n} x^{n}\) = \(a_{0} +a_{1} x+a_{2} x^{2} +.....\)

∑(n=0 to ∞) \(a_{n} (x-c)^{n}\) = \(a_{0} +a_{1} (x-c)+a_{2} (x-c)^{2} +.....\)

One of the conventions we adopt is that  \(x^{0}\) = 1  regardless of the value of  x . Therefore

∑(n=0 to ∞) \(x^{n}\) = \(1+x+x^{2} +x^{3} +......\)

List of Integral Formulas

∫ 1 dx = x + C.

∫ a dx = ax+ C.

∫ \(x^{n}\) dx = ((\(x^{n+1}\))/(n+1))+C ; n≠1.

∫ sin x dx = – cos x + C.

∫ cos x dx = sin x + C.

Therefore,

The open interval of convergence is 1 then attached image.

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