15. The circumference of a circle is Ccentimeters. The diameter of the circle is 13
centimeters.
Which expression best represents the value of ?
A. C/6.5
B.6.5/C
C.C/13
D.13/C

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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9514 1404 393

Answer:

  26.25 ft by 21 ft

Step-by-step explanation:

Let x represent the length of the set of pens along the side of the building. Then the fence remaining for the 5 partitions out from the building (2 ends + 3 partitions, all the same length) will be (210-x). Since each of those partitions is (210-x)/5, the overall area will be ...

  A(x) = x(210-x)/5

This describes a downward-opening parabola with zeros at x=0 and x=210. The maximum area is on the line of symmetry, halfway between those zeros. The area is a maximum when x=210/2 = 105.

The horizontal dimension of each pen is (105 ft)/4 = 26.25 ft.

The dimension out from the building is (210 -105 ft)/5 = 21 ft.

The dimensions of each pen should be 26.25 feet wide and 21 feet out from the building.

Answer:

g(-2) = 3

x = -2.535 and -0.131

Step-by-step explanation:

It becomes

\($$\begin{aligned}5: 8: & 6.5: x \\5 \times x & =8 \times 6.5 \\x & =\frac{8 \times 6.5}{5} \\x & =\frac{52}{5} \\x & =10.4\end{aligned}$$\)

Therefore,

5 machines will take $10.4$ hour to produce the same number of parts.

Equivalent interest rates are interest rates that produce the same future value after one year. For example, 10% compounded quarterly and 10.125% compounded semiannually are equivalent nominal interest rates. If you calculate the future value of $100 invested at either rate for one year, you will obtain $110.38.

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Answer:

continuous

Step-by-step explanation:

Therefore, the solution to this problem is  (x - 2)(x + 3) are the factors of p(x) (2x - 5).

An equation is a mathematical statement that is created by connecting two expressions using the equivalent sign. An example of an equation is 2x - 5 = 15. By resolving this equation, we may ascertain that the variable x has a value of 5.

Here,

Given, the polynomial in this case is 2x3 - 3x2 - 17x + 30.

It is necessary to factor the polynomial.

Let p(x) equal 2x3, 3x2, 17x, and 30.

P(xconstant )'s term is 30.

Factors of 30 are equal to 1, 2, 3, 5, 6, 10, 15, and 30.

Consider x = 2.

Replace x = 2 in p. (x),

2(2)³ - 3(2)² - 17(2) + 30 =p(2)

=> 2(8) - 34 - 3(4) + 30

= >16 - 16

= 0

So, x - 2 is a factor of 2x³ - 3x² - 17x + 30.

Now splitting the x² and x terms,

2x³ - 4x² + x² - 2x - 15x + 30= 2x³ - 3x² - 17x + 30

=> x(x - 2) - 15(x - 2) +  2x²(x - 2)

= > (x - 2)  *  (2x² + x - 15)

factoring  2\(x^{2}\) + x - 15

= 2\(x^{2}\) + 6x - 5x - 15

= - 5(x + 3)  +  2x(x + 3)

= (x + 3)(2x - 5)

Therefore, the solution to this problem is  (x - 2)(x + 3) are the factors of p(x) (2x - 5).

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The answer is .  option (c) , equation that can be used to find the value of x is: 130 + 70 + x = 180.

The reason behind this is that the sum of the interior angles of a triangle sum up to 180°.

An interior angle is an angle inside a triangle, which means the interior angles of a triangle sum up to 180 degrees.

An interior angle is an angle located inside a polygon. Interior angles are located between two sides of a polygon.

For example, in the triangle ABC, the angles A, B, and C are interior angles.

The sum of the interior angles of a triangle

The sum of the interior angles of a triangle is always 180 degrees.

In other words, when you add up all three interior angles, the total sum should be 180.

It is important to note that this is true for all triangles, regardless of their size or shape.

So, The equation that can be used to find the value of x is: 130 + 70 + x = 180.

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The probability P(-1.645 ≤ Z ≤ 1.645) is found to be 0.9.

The random variable X has a continuous uniform distribution f(R) 0, otherwise. A random sample of n-12 observations is chosen from this distribution, and the sample mean X is taken. We assume that the Central Limit Theorem is applicable despite the fact that the sample size n -12 is small.The sample size n -12 is quite small, but we still assume that the Central Limit Theorem is applicable.

To find the approximate probability distribution of Xt, we may use the Central Limit Theorem. A

ccording to the Central Limit Theorem, the sample mean X ~ N(mean, variance/n), assuming that n is sufficiently large.The expected value of the continuous uniform distribution is (a + b)/2, and the variance is (b - a)2/12. In this case, a = 0 and b = R. As a result, we have:The expected value of X is E(X) = (0 + R)/2 = R/2

The variance of X is Var(X) = (R - 0)2/12 = R2/12As a result, by the Central Limit Theorem, the approximate probability distribution of Xt is:N(R/2, R2/12(n-12))We want to find the probability P045. This is the probability that the random variable Z = (Xt - R/2) /sqrt(R2/12(n-12)) is less than -1.645 or greater than 1.645.

This may be accomplished using Table III from Appendix Table III on page 743.The probability P(Z ≤ -1.645) is approximately 0.05.

The probability P(Z ≥ 1.645) is also about 0.05. As a result, the probability P(-1.645 ≤ Z ≤ 1.645) is approximately 0.9.

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Answer:

y=2.5x+4

Step-by-step explanation:

that your answer

rate and hit that thank button

Answer:

Function

Can I get brainliest please

Answer:

yes it is a function :D

Step-by-step explanation:

_________________

Answer:

n=4750

n+ 4250=9000

-4250= 4250

n= 4750

Answer:

Step-by-step explanation:

idea

From the problem we will have the following:

So, the time it will pass will be approximately 5.17 years.

The space C[a, b] of real-valued continuous functions defined on [a, b] is a normed linear space with respect to the norm given by ∥f∥=max{∣f(x)∣}, x ∈ [a, b].

The space C[a, b] of real-valued continuous functions defined on [a, b] is a normed linear space with respect to the norm given by ∥f∥=max{∣f(x)∣}, x ∈ [a, b], is given below:

The definition of the norm of a function is the size or magnitude of a function. Thus, the term normed linear space refers to a vector space that contains a notion of size for its vectors.

Therefore, we need to show that C[a, b] satisfies the definition of a normed linear space.

Here, the norm is given as ∥f∥=max{∣f(x)∣}, x ∈ [a, b]. Let f, g, h ∈ C[a, b], c ∈ R.

Positivity: It implies that ∥f∥ = 0 if and only if f = 0, and ∥f∥ > 0, for f ≠ 0. It is always true that | f(x) | ≤ ∥f∥, which follows directly from the definition of the norm. Hence, | f(x) | ≤ ∥f∥ ≤ ∥g∥ + ∥f − g∥.

Thus, C[a, b] satisfies the positivity property.

Homogeneity: ∥cf∥ = |c| ∥f∥ is true for all scalars c.Subadditivity: It is true that ∥f + g∥ ≤ ∥f∥ + ∥g∥.4. Continuity: For each fixed x, the function f → f(x) is continuous.

Hence, for any ε > 0, there exists a δ > 0 such that for all f and g in C[a, b], if ∥f − g∥ < δ, then | f(x) − g(x) | < ε, for all x ∈ [a, b].

As a result, the space C[a, b] of real-valued continuous functions defined on [a, b] is a normed linear space with respect to the norm given by ∥f∥=max{∣f(x)∣}, x ∈ [a, b].

Therefore, we have proved that the space C[a, b] of real-valued continuous functions defined on [a, b] is a normed linear space with respect to the norm given by ∥f∥=max{∣f(x)∣}, x ∈ [a, b].

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Answer:

47,100.00

Step-by-step explanation:

Answer:

47050

Step-by-step explanation:

The surface area of octagonal pyramid with height of 12 and a side length of 4.24 is 281.477 unit²

Height of octagonal pyramid = 12

Side length of octagonal pyramid = 4.14

The surface area of octagonal pyramid is  

SA = 2s²( 1 + √2) + 4sh

Here, s is side length of the octagonal pyramid = 4.14

h is height of the octagonal pyramid = 12

putting the values in the equation we get

SA = 2 × 4.14 ( 1 + √2 ) + 4 × 4.14 × 12

SA = 82.757 + 198.72

SA = 281.477

The surface area of octagonal pyramid is 281.477

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The correct answer is option E which is Cos ( 70 ) = \(\dfrac{LN}{8}\).

The complete question is attached with the answer below:-

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

As we can see from the figure that ∠L = 70 and ∠M = 20 We can see that the length LN will be calculated as:-

Cos 70 = Base / Hypotenuse

So for an angle of 70, the base is LN and the hypotenuse is equal to 8 units.

Cos 70 = LN = 8

Therefore the correct answer is option E which is Cos ( 70 ) = \(\dfrac{LN}{8}\).

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Answer:

A & E

Step-by-step explanation:

Jus took it on edge

The appropriate response will be (A). The first equation of motion gives the link between "velocity and time."

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

An equation is a mathematical representation of two equal objects, one on each side of a "equals" sign. We can solve challenges in our daily lives with the aid of equations. Most of the time, we look for help with pre algebra to resolve problems in real life. Pre-algebra concepts contain the fundamentals of mathematics.

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The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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Answer:

So option 4; \(\frac{35}{100}\) is the correct option

Step-by-step explanation:

First, we need to convert \(\frac{2}{10}\) so it's denominator is 100. To do so, we will multiply the numerator and denominator by 10

\(\frac{2}{10} *\frac{10}{10} = \frac{20}{100}\)

Second, we need to add the two fractions to get the current total distance walked. Remember, when adding fractions, the denominator does not change.

\(\frac{45}{100} + \frac{20}{100} = \frac{65}{100}\)

Now that we have the total distance walked, we need to subtract that to 1 mile. \(1mile=\frac{1}{1} = \frac{10}{10} =\frac{100}{100}\)

\(\frac{100}{100} -\frac{65}{100} = \frac{35}{100}\)

So option 4; \(\frac{35}{100}\) is the correct option

Answer:

AB = 42

BC = 78

Step-by-step explanation:

AB = 4x + 6

BC = 7x + 15

AC = 120

A to B plus B to C is the same distance as from A to C, which is 120.

AB + BC = AC

(4x + 6) + (7x + 15) = 120

4x + 7x + 6 + 15 = 120

11x + 21 = 120

Subtract 21 from both sides.

11x = 120 - 21 = 99

11x = 99

Divide both sides by 11.

x = 9

AB = 4x + 6 = 4*9 + 6 = 36 + 6 = 42

BC = 7x + 15 = 7*9 + 15 = 63 + 15 = 78

Answer:

AB = 42

BC = 78

Answer:

x = 9

AB = 42

BC = 78

Step-by-step explanation:

AB + BC = AC

4x + 6 + 7x + 15 = 120

11x + 21 = 120

11x = 99

x = 9

AB = 4x + 6 = 4(9) + 6 = 36 + 6 = 42

BC = 7x + 15 = 7(9) + 15 = 63 + 15 = 78

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.

The equation that shows the relationship between the angles in the triangle is determined as follows;

The sum of angles in a triangle is equal to 180 degrees.

So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;

angle 1 + angle 2 + angle 3 = 180

We can re-write the equation as follows;

m∠1 + m∠2 + m∠3 = 180

Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.

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Answer:33

Step-by-step explanation:

5x-15+30+90=180

5x+105=180

5x-105=-105

5x=75

/5=/5

x=15

Answer:

3600

Step-by-step explanation:

We multiple 40 x 90 which is equal to 4 x 10 x 9 x 10.

4 x 9 = 36 and 10 x 10 = 100, so 40 x 90 = 36 x 100 = 3600.

Answer:

The answer is 3,600

Step-by-step explanation:

40x90=3,600

Look at picture for step by step!

Hope this helps!

By: BrainlyAnime

Brainliest would be appreciated!

Answer:

D. \(\displaystyle No\:Solution\)

Explanation:

The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:

\(\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|\)

The negative absolute value of an integer however, IS negative.

I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.

Answer:

The slope is m=2

Step-by-step explanation:

using the equation y=mx+b, m is the slope.

Answer:

603 cm³

Step-by-step explanation:

v = πr²h

v = π(4²)12

v = 3.14 * 16 * 12

v = 602.88

rounded

603 cm³

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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For function f(x) = x^3 + 6x^2 + 2x + 9, the first derivative is f'(x) = 3x^2 + 12x + 2, and the second derivative is f''(x) = 6x + 12.

For function f(x) = 1/(8x^3), the first derivative is f'(x) = -3/(8x^4), and the second derivative is f''(x) = 3/(2x^5).

Lastly, for function f(θ) = sin^2(θ), the first derivative is f'(θ) = 2sin(θ)cos(θ), and the second derivative is f''(θ) = 2(cos^2(θ) - sin^2(θ)).

a. The first derivative of f(x) = x^3 + 6x^2 + 2x + 9 is f'(x) = 3x^2 + 12x + 2. The second derivative of f(x) is f''(x) = 6x + 12.

b. The first derivative of f(x) = 1/(8x^3) can be found using the power rule and chain rule. Applying the power rule, we have f'(x) = -3/(8x^4). The second derivative is obtained by differentiating f'(x), giving us f''(x) = 12/(8x^5) = 3/(2x^5).

c. The first derivative of f(θ) = sin^2(θ) can be found using the chain rule. Applying the chain rule, we have f'(θ) = 2sin(θ)cos(θ). The second derivative is obtained by differentiating f'(θ), resulting in f''(θ) = 2(cos^2(θ) - sin^2(θ)).

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