What number is 1/4 of 20?​

Answer:

\(y=3x+9\)

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (3, 18) and (8, 33).

First, let’s determine the slope. We can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

We will let (3, 18) be (x₁, y₁) and (8, 33) be (x₂, y₂). Then it follows that:

\(\begin{aligned} m&=\frac{33-18}{8-3} \\ m&=\frac{15}{3} \\ m&=3\end{aligned}\)

Hence, the slope is 3.

Now, we can use the point-slope form:

\(y-y_1=m(x-x_1)\)

We will substitute 3. for m. We can use either of the two points for (x₁, y₁) but let’s let (3, 18) be (x₁, y₁) for consistency. Thus:

\(y-18=3(x-3)\)

Then it follows that:

\(\begin{aligned} y-18&=3x-9 \\ y&=3x+9 \end{aligned}\)

Therefore, our equation is:

\(y=3x+9\)

Therefore, the correct expression of the density, rounded to three significant figures, would be 2.46 g/cm³.

To express a density value to three significant figures, you need to consider the number of significant figures in the given data or measurement.

For example, if the given data or measurement has four significant figures, you would round the density value to three significant figures.

Let's consider an example:

Suppose the density of a substance is measured as 2.456 grams per cubic centimeter (g/cm³). To express this density value to three significant figures, you would round it to the nearest thousandth:

2.456 g/cm³ rounded to three significant figures is 2.46 g/cm³.

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Answer:

The answer is -285

Step-by-step explanation:

Answered okokokoomkokk

Step-by-step explanation:

Answer:

9.3 ft

Step-by-step explanation:

The expected number of cards that you need to flip before you see the first ace is known as the expected value or expected number of trials. To find the expected value, you can use the formula:

E = (probability of success) * (number of trials)

Where E is the expected value, probability of success is the probability of seeing an ace on a single card flip, and number of trials is the number of cards that you need to flip.

Since there are 4 aces in a deck of 52 cards, the probability of success is 4/52 = 1/13. Plugging this into the formula above, we get:

E = (1/13) * (number of trials)

To find the expected number of trials, we can solve for number of trials:

number of trials = E / (1/13) = 13 * E

So the expected number of cards that you need to flip before you see the first ace is 13.

The polynomial function f with the specified properties and zeros is a quadratic equation.

The zeros of -5 and 4 indicate that the factors of the polynomial are (x + 5) and (x - 4), respectively. To obtain a polynomial with rational coefficients and a leading coefficient of 1, we multiply these factors together: f(x) = (x + 5)(x - 4).

The zeros of -3 and -1 suggest that the factors of the polynomial are (x + 3) and (x + 1), respectively. To achieve rational coefficients and a leading coefficient of 1, we multiply these factors: f(x) = (x + 3)(x + 1).

The zero of -1 indicates the factor (x + 1) for the polynomial. Since no other zeros are given, this factor is quadratic on its own: f(x) = (x + 1)^2.

The zeros of -1, 2, and 6 imply the factors (x + 1), (x - 2), and (x - 6), respectively. To obtain a polynomial with rational coefficients and a leading coefficient of 1, we multiply these factors together: f(x) = (x + 1)(x - 2)(x - 6).

The zeros of -2, -1, and 10 suggest the factors (x + 2), (x + 1), and (x - 10), respectively. To achieve rational coefficients and a leading coefficient of 1, we multiply these factors: f(x) = (x + 2)(x + 1)(x - 10).

In summary, the polynomial functions f with the given zeros have degrees as follows: 1. Degree 2, 2. Degree 2, 3. Degree 2, 4. Degree 3, 5. Degree 3.

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Answer:

3/8^4*38

Step-by-step explanation:

The sector's needed area while adopting the center angle is 75.6°.

When two circle radii come together to form a vertex in the center of a circle, the result is a central angle.

This circle's arms could come from two different locations along its arc.

The intersection of the two radii produces a central angle that makes it easier to divide a circle into several halves.

Area of circle:

πr² = 121π

r² = 121

r = 11 m

Now, the area of the sector:

= θ/360 * πr²

= 28/360 * 3.14 * 11 * 11

= 72 * 379.94/360

= 72*1.05

= 75.6

Therefore, the sector's needed area while adopting the center angle is 75.6°.

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Answer:

35.25 or 35 1/4 miles

Step-by-step explanation:

47/80m = 0.5875miles per min

0.5875 x 60

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

For the given closed loop transfer function the range of K for stability is 0 < K < 1.

All the coefficients in the first column of the Routh array must be positive. The number of sign alterations in the first column of the Routh array must be equal to the number of poles of the system in the right half-plane (RHP).

Condition 1: All the coefficients in the first column of the Routh array must be positive.

Condition 2: The number of sign alterations in the first column of the Routh array must be equal to the number of poles of the system in the right half-plane (RHP).

Thus. for the given closed loop transfer function the range of K for stability is 0 < K < 1.

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The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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Answer:

see attached file

Step-by-step explanation:

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

The equation is 5x - 9 = 2x + 23.

The answer is option A.

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.

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Answer: 41,200 minutes

Step-by-step explanation: 412 x 100 is 41,200, so she need 41,200 minutes  to comeplete the 100-mile drive.

Answer:

graph points (0,2) and (0.857,0)

Step-by-step explanation:

can i please have the brainliest

Answer:

Step-by-step explanation:

Consecutive exterior angles lie outside on the same side of a transversal.

So it should be 3,45 and 6

Answer:

1.5 x 3 = 4.5

Step-by-step explanation:

Divide 4.5 by 3

4.5/3 = 1.5

The invert the operation

1.5 x 3 = 4.5

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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The probability of more than 1 death in a corps in a year is 0.125 and probability of no deaths in a corps over 6 years is 0.0257.

The variable can only take particular values from a given list of integers, which is most likely infinite, because the Poisson distribution is a discrete probability function. A Poisson distribution calculates the likelihood that an event will happen "x" times in a given amount of time. As a result of the Poisson experiment, we may define it as the probability distribution.

A statistical experiment called a Poisson experiment divides the trial's results into two categories, such as success or failure. A limiting process for the binomial distribution is the poisson distribution.

a. Let X denote the number of soldiers killed by horse kicks in one year. Then, T = 1 X has a Poisson distribution with mean,

EX = λT = 0.61

Therefore, the probability of more than one death in a corps in a year is

P(X>1) = 1 - P(X = 0) - P(X = 1)

= 1 - \(e^-^0^.^6^1\) 0.61⁰/0! - \(e^-^0^.^6^1\) 0.61¹/1!

= 0.125

Therefore, the probability of more than one death in a corps in a year is 0.125.

b) Let X denote the number of soldiers killed by horse kicks in five years. Then, T=5 and X has a Poisson distribution with mean

EX = λT = 0.61 x 6 = 3.66

Therefore, the probability of no death in a corps in a five years

P(X = 0) = \(e^-^3^.^6^6\) 3.66⁰/0!

= 0.0257

Therefore, probability of no death in a corps in a five years is 0.0257.

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The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

Suppose that we have:

Then the confidence interval is obtained as

\(\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}\)

\(\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\)

For this case, we're given that:

At this level of significance, the critical value of Z is: \(Z_{0.1/2}\) = ±1.645

Thus, we get:

\(CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90]\)

Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

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Answer:

(A) = (3). (B) = (7). (C) = (6)

In order to place 8 distinguishable rooks on an 8x8 chessboard without any of them being able to capture each other, you will need to ensure that each rook occupies a unique row and column.

Step 1: Place the first rook. There are 8 different locations to choose from (one in each row).
Step 2: Place the second rook. There are 7 remaining locations to choose from, as you cannot place it in the same row or column as the first rook.
Step 3: Place the third rook. There are 6 remaining locations to choose from, avoiding the rows and columns of the first two rooks.
Step 4: Continue this process until all 8 rooks have been placed.

To find the total number of ways to place the 8 distinguishable rooks, multiply the number of choices for each step:

8 (choices for rook 1) * 7 (choices for rook 2) * 6 (choices for rook 3) * 5 (choices for rook 4) * 4 (choices for rook 5) * 3 (choices for rook 6) * 2 (choices for rook 7) * 1 (choice for rook 8) = 40,320 ways.

To solve this problem, we can use the principle of multiplication. We start by placing the first rook in any of the 64 squares on the chessboard. There are 64 choices for the first rook.

Next, we need to place the second rook in a location that is not attacked by the first rook. Since rooks can attack any square in the same row or column as them, we need to choose a square that is not in the same row or column as the first rook. There are 7 rows and 7 columns remaining, so there are 14 squares in which the second rook can be placed.

For the third rook, we need to choose a location that is not attacked by either the first or second rook. This means we need to choose a square that is not in the same row or column as the first two rooks. There are 6 rows and 6 columns remaining, so there are 12 squares in which the third rook can be placed.

Continuing in this way, we see that the number of choices for the nth rook is equal to the number of rows and columns remaining after the (n-1)th rook has been placed. So, the total number of ways to place all 8 rooks on the chessboard is:

64 × 14 × 12 × 10 × 8 × 6 × 4 × 2 = 16,777,216

Therefore, there are 16,777,216 ways to place 8 distinguishable rooks on an 8 × 8 chessboard so that none can capture any other.

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We can write √a⁵ as √a⁴ × a.Therefore, a factor out of each square root  of √a⁵ = a²√a.

A factor in mathematics is an algebraic expression or number that divides another expression or number without producing a residue.

For instance, 1, 2, 3, 4, 6, and 12 are factors of 12 because they can divide 12 equally.

Then, using the property of square roots that √ab = √a × √b, we can simplify this to:

√a⁴ × a = (√a²)² × √a = a²√a

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Answer:

Step-by-step explanation:

You want to know which of several equations have x=3 as a solution. The equations are ...

The value x=3 will be a solution if it satisfies the equation. Substituting that value into the given equations, we find ...

The value x = 3 is a solution to ...

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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Answer:

a=45°(complementary angle)

Step-by-step explanation:

45+a=90

90-45=45

=45°

hope this helps <3

Answe

y = kx ⇒ k = y/x = 7/35

Step-by-step explanation: