is square root of 26 a rational number

Answer: approximately 25.13 centimeters.

Step-by-step explanation: If the diameter of a circle is 8cm, then the radius is half of that, which is 4cm. We can use this information to calculate the area and circumference of the circle as follows:

Area of circle = π * r^2

= π * 4^2

= π * 16

= 16π

≈ 50.27 cm^2 (rounded to two decimal places)

Circumference of circle = 2π * r

= 2π * 4

= 8π

≈ 25.13 cm (rounded to two decimal places)

Therefore, the area of the circle is approximately 50.27 square centimeters and the circumference is approximately 25.13 centimeters.

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In this problem, descriptive statistics is used because the survey percentage is used to make inference for all business owners.

Descriptive statistics is used when data from a sample, which is a sub-set of a population, is used to make inferences about the entire population.

In this problem, the data 979 business owners sampled is used to make inference about the population, which is composed by all business owners, hence descriptive statistics is used.

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Answer:

288.4

Step-by-step explanation:

v=pi r^2 H

Answer:

I think answer is 288.4 plz mark me brainlist

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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The statement that is not true about the F-test in one-way analysis of variance is A. The F-statistic can never be a negative number. The F-statistic is a ratio of these two types of variability, and it can be any non-negative number.

The F-statistic is calculated by dividing the mean square between groups by the mean square within groups. The numerator degrees of freedom for the F-test is equal to the number of groups in the study minus one, while the denominator degrees of freedom is equal to the total sample size minus the number of groups. The F-distribution is a right-skewed distribution, meaning that it is not symmetric.

Therefore, statement A is not true about the F-test in one-way analysis of variance, as the F-statistic can be any non-negative number. The F-test is a useful statistical tool for determining whether the differences between group means are significant or simply due to chance. By comparing the variability between groups to the variability within groups, researchers can make informed decisions about whether to accept or reject the null hypothesis in a one-way ANOVA.

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For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

Explanation

Step 1

find the slope

the slope is given by:

Let

P1(6,3)

P2(9,15)

replacing.

Step 2

using

slope=4

P1(6,3)

find the equation

I hope this helps you

17/24 kilograms of crab was sold by Mang ernie on Saturday.

Equation is an expression used to how the relationship between two or more numbers and variables.

Let x represent the amount of crab that was sold by Mang ernie. Hence, from the question:

x + 1/6 = 7/8

subtracting 1/6 from both sides of the equation to make x the subject of the equation:

x + 1/6 = 7/8 - 1/6

x = 17/24

17/24 kilograms of crab was sold by Mang ernie on Saturday.

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Step-by-step explanation:

Gradient = Coefficient of x = -1.

Answer:

y=2x-8

or

f(x)=2x-8

Step-by-step explanation:

To write in slope-intercept form using this information, first use the point slope formula.

y-y1=m(x-x1)

m is slope.

y+4=2(x-2)

Use distributive property on the right side.

y+4=2x-4

Now, subtract 4 from both sides.

y+4-4=2x-4-4

y=2x-8

Written using function notation:

f(x)=2x-8

Hope this helps!

If not, I am sorry.

The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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Answer:

\( - 19 = x - 19 \\ x = - 19 + 19 \\ x = 0 \\ thank \: you\)

Answer:

We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.

Starting with y = 2y - 2, we substitute y = 2x - 5:

2x - 5 = 2(2x - 5) - 2

Expanding the right side:

2x - 5 = 4x - 12

Next, we isolate y by subtracting 2x from both sides:

-2x - 5 = 4x - 12

Adding 2x to both sides:

-5 = 6x - 12

Adding 12 to both sides:

7 = 6x

Finally, we divide both sides by 6 to solve for x:

x = 7/6

So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.

Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.

Step-by-step explanation:

Answer: Cant help I'm in 7th grade

Step-by-step explanation:

In linear equation, 24.7 knots is the distance between the ships changing at 3 pm.

What in mathematics is a linear equation?

V = √18² + 17²  = √324 + 289  = √613 = 24.7

\(V_{AB}\) = Velocity of ship A relative to ship B,

\(V_{AS}\) = Velocity of ship A relative to sea,

\(V_{BS} =\) Velocity of ship B relative to sea,

Consider a cartesian coordinate system in which X axis is oriented East and Y axis is oriented North.

\(V_{S} =\) ( - 18 ,0 ) Knots

\(V_{BS}\) = ( 0 , +17) Knots

\(V_{AB} = V_{AS} + V_{SB}\)

\(V_{AB} = V_{AS} - V_{BS}\)

\(V_{AB} =\) ( -18 , 0  ) - ( 0 , 17 ) = ( -18 , 17 )

       = √18² + 17²  = = √324 + 289  = √613 = 24.7

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Answer:

x = 10

y = 4

Hope this helps :)

Please mark me as Brainliest

Answer:

a) 15 minutes

b) 200 m/min

Step-by-step explanation:

a) Steve runs 160m per minute

Therefore, divide the total distance by 160 to find the time he took to run:

2400 ÷ 160 = 15 minutes

b) If he wants to take 3 minutes less to run it, then the new run time:

15 - 3 = 12 minutes

To calculate the new speed, divide distance by time:

2400 ÷ 12 = 200 m/min

Answer:

a. Find the time he take to run 2400m

v=d/t

t=d/v

where d=2400m and v=160m/min

t=2400/160

t=15min

He take 15min to run 2400m.

b. Find the speed he must run

v=d/t

where d=2400 and t=15-3=12min

v=2400/12

v=200m/min

He must run at 200m/min.

The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

Answer:Perimeter =2l +2w

28=2(3x-2) + 2x

Width =4feet

Length =10feet

Step-by-step explanation:

Perimeter of rectangular garden =2(l+b)

Let the width be represented as X

And the length which is 3x-2

Such that the equation to solve for length and width be

Perimeter =2l +2w

28=2(3x-2) + 2x--- system of equation

Solving

28=2(3x-2) +2x

28=6x-4+2x

28=8x-4

28+4=8x

32=8x

X=32/8

X=4

Width =4

Length =3x-2=3x4-2=10

Answer:

Step-by-step explanation:

The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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The ratios of vowels to consonants in the words pineapple and strawberry are:

Pineapple: 4:5

Strawberry: 1:4

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

For pineapple:

There are 4 vowels (a, i, e, and a) and 5 consonants (p, n, p, p, and l).

Thus, the ratio of vowels to consonants in the word " pineapple" is:

4:5

For strawberry:

There are 2 vowels (a and e) and 8 consonants (s, t, r, w, b, r, r and y).

Thus, the ratio of vowels to consonants in the word "strawberry" is:

2:8 = 1:4

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To calculate the mean, variance, and standard deviation of a discrete probability distribution, you need to follow these steps:

1. List the values of the random variable (x) and their corresponding probabilities (p(x)) in a table.

In this case, the values of x are -32, -24, -13, and -7, and the corresponding probabilities are not provided. So, to proceed with the calculation, we need the probabilities associated with each value of x.

Once we have the probabilities, we can move on to calculating the mean, variance, and standard deviation.

Please provide the probabilities for each value of x in order to proceed with the calculation.

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The vector [1, 1, 1]ᵀ as it is symmetrical to the ordinary vector. Thus, "[1, 1, 1]T" serves as the foundation for the line p.

We can rewrite the plane's equation as a matrix equation to find the matrix A whose nullspace matches the given plane. The plane's equation is as follows:

x - 4y + 3z = 0

We can revise it in lattice structure as:

Where [A] is a 1x3 matrix and [x, y, z]T is a column vector, [A] = [0]. The rows of the matrix [A] will serve as the equation's coefficients for x, y, and z due to the equation's homogeneity and linearity.

As a result, matrix A is:

[A] = [1, -4, 3] We must solve the equation A * x = 0, where x is a column vector, in order to determine the nullspace's basis. For this situation, we really want to address:

We can represent it as a system of equations: [1, -4, 3,] [x, y, z]T = [0].

x - 4y + 3z = 0

To track down the reason for the nullspace, we settle the arrangement of conditions and express the arrangement concerning boundaries. Let's figure out the system:

x = 4y - 3z

Picking y = t (a boundary), we can revamp the arrangement as:

The nullspace of matrix A is spanned by the vector [4, 1, 1]T, so "[4, 1, 1]T" serves as the foundation for the nullspace of A. Since x = 4t, y = t, and z = t,

Presently, to find the reason for the line p⊥ that is opposite to p, we know that any vector in p⊥ is symmetrical to any vector in p. Hence, the reason for p⊥ can be found by finding a vector that is symmetrical to the ordinary vector of p (which is [1, - 4, 3]ᵀ).

We can pick the vector [1, 1, 1]ᵀ as it is symmetrical to the ordinary vector. Thus, "[1, 1, 1]T" serves as the foundation for the line p.

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The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X  

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths so on...

Given the statement as“the number with the units digit equal to x and the tens digit three more than the ones digit”

We need to convert the statement into the algebraic expression.

We know that unit digit number = X × 1

Then Tens digit number = (3 + X ) 10

Thus, the number = 30 + 10X + X

Hence, the Number = 30 + 11 X  

The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X  

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