The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?

For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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Answer:

$0.40

Step-by-step explanation:

5.60/14 = .40

Using the given sample data, the data values are:

Range 24

Q1 52

Q3 69

IQR 17

1. Arrange the data in ascending order:
52, 52, 52, 54, 58, 61, 62, 64, 67, 69, 69, 73, 76

2. Calculate the range (highest value - lowest value):
Range = 76 - 52 = 24

3. Find the first quartile (Q1) - the median of the first half of the data:
Since there are 13 data points, we'll take the median of the first 6 numbers: (52 + 52) / 2 = 52

Q1 = 52

4. Find the third quartile (Q3) - the median of the second half of the data:
We'll take the median of the last 6 numbers: (69 + 69) / 2 = 69

Q3 = 69

5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 69 - 52 = 17

So, the requested values are:
Range = 24
Q1 = 52
Q3 = 69
IQR = 17

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The values of a and b such that y∼n(0,1) are a = ± (1/σ) and b = ± (μ/σ)

of a gaussian distribution.

Gaussian distribution (also known as normal distribution) is a bell-shaped curve, and it is assumed that during any measurement values will follow a normal distribution with an equal number of measurements above and below the mean value.

E(X) = μ, Var(X) = σ^2

Y = aX + b

We want E(Y) = 0 and Var(Y) = 1

E(Y) = a E(X) + b

0 = a μ + b

b = -a μ  --- (1)

Var(Y) = (a^2) Var(X)

1 = (a^2) σ^2

a^2 = 1/σ^2

a = ± 1/σ  --- (2)

From (1) and (2)

b = (± 1/σ) μ

So, a = ± (1/σ) and b = ± (μ/σ)

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The complete question is :

A random variable X ∼ N (µ, σ2 ) is Gaussian distributed with mean µ and variance σ 2 . Given that for any a, b ∈ R, we have that Y = aX + b is also Gaussian, find a, b such that Y ∼ N (0, 1)

Answer:

154*3-197 or 265

Step-by-step explanation:

154*3 = 462, 462-197=265.

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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B. The period of y = 2 sin(x) is π.
F. The amplitude of y = 2 sin(x) is 2.

In physics, engineering, and mathematics, amplitude refers to the maximum displacement or distance of a wave from its undisturbed position. It is a measure of the strength or intensity of a wave.

For example, in the case of a sound wave, the amplitude corresponds to the maximum pressure variation caused by the sound wave. The greater the amplitude of the sound wave, the louder the sound.

In the case of an electromagnetic wave, such as light, the amplitude corresponds to the maximum electric or magnetic field strength of the wave. The greater the amplitude of the light wave, the brighter the light.

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer: A. -6.007, -2π, -√48

Step-by-step explanation:

-2π ≈ -6.28

-√48 ≈ -6.93

-6.007 = -6.007

-----------------------

-6.007>-6.28>-6.93

-6.007>-2π>-√48

Answer:

28k+68

Step-by-step explanation:

Answer:

The height of the parallelogram is 15 inches.

Step-by-step explanation:

4h = 60, so h = 15

Answer:

The slope is M= 2

Step-by-step explanation:

Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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Answer:

b = 30 degrees.

Step-by-step explanation:

Two angles are said to be complement of each other if their sum is 90 degrees

________________________

given

one angle is b

let other angle be x

given that  angle b is one-half the measure of its complement

thus, mathematically we can the above statement as

b = 1/2(x)

now sum of both the angle will be 90 degrees as they are complementary

b + x = 90

using b =  1/2(x)

=> 1/2(x) + x = 90

=> x/2 + x = 90

=> (x +2x)/2 = 90

=> 3x = 180

=> x = 180/3 = 60

thus,

b =  1/2(x) =  1/2(60) = 30

thus, measure of angle b is 30 degrees.

The output of the function can be calculated by plugging in 2 for x and evaluating the equation:\(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

The Common Core standards for Pre-Calculus focus on the study of functions and their applications, as well as the development of a deeper understanding of the algebraic and geometric principles in the mathematical field. One of the core concepts covered in Pre-Calculus is the concept of polynomial functions. A polynomial function is an expression made up of terms that involve only constants, variables, and exponents. It is represented by the equation \(f(x) = ax^n + bx^n-1 + cx^n-2 + … + z\), where a, b, c, …, z are constants and n is a non-negative integer. To find the value of a polynomial function at a given value of x, the equation can be evaluated by plugging in the x value and calculating the output. For example, if a polynomial function is represented by the equation f(x) = 2x^3 + 5x^2 - 7x + 4, and the x value is 2, then the output of the function can be calculated by plugging in 2 for x and evaluating the equation: \(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

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Complete question:

What is the output of the polynomial function f(x) = 2x^3 + 5x^2 - 7x + 4 when x = 2?

Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Answer:

You have to know the order or which side is the con-sin etc

Step-by-step explanation:

The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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The number of ways is 126

From the question, we have

number of ways = C (9,4)

= 9! / (5! * 4!)

= 126  

The number of ways is 126.

Multiplication:

Mathematicians use multiplication to determine the sum of two or more numbers. It is a fundamental mathematical operation that is frequently used in daily life. Multiplication is used to combine groups of like sizes. Multiplication serves as a representation of the fundamental idea of adding the same number repeatedly. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes adding the same number repeatedly simpler.

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Answer:

gradient 1/2, y-intercept 9

Step-by-step exp

Answer: Fourth Choice. 9

Concept:

Here, we need to know the idea of linear equations.

Linear equations are equations of the first order or basically in a straight line.

Linear equations can appear in different forms.

Solve:

STEP ONE: Determine the form of the equation

y = (1 / 2)x + 9

There is a [m] and a [b], therefore, it is slope-intercept form.

In slope-intercept form, y = mx + b, where:

STEP TWO: Determine the y-intercept

y = (1 / 2)x + 9

m = 1 / 2

b = 9

Therefore, the y-intercept is 9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Answer: x=87 and y= 132

Step-by-step explanation: because it has to equal 180 degrees

Answer:

x=87 y=132

Step-by-step explanation:

Answer:  it is a

Step-by-step explanation:

Answer:

3:5=_____%

Step-by-step explanation:

3:5 equal to 60%

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Answer:

it is -4h

step-by-step explanation:

Answer:

Where a and b are both integers. Example. The number 4 is an integer as well as a rational number. As it can ... Which of these rational numbers are integers?

Step-by-step explanation:

Answer:

A. 54 m^2

Step-by-step explanation:

You can do cross multiplication: \(\frac{4}{6}\)×\(\frac{x}{9}\)

4*9 = 6*x

36 = 6x

x = 6

That is the Width in m, so all you need to do is find the area!

Area = L * W

Area = 9 * 6

Area = 54