Why would you have more confidence in a prediction based on a correlation of -0.75 than on based on a correlation of 0.50?

Answer:

To find the length of the box that will give a volume of 64,800 cm^3, we need to find the value of x that makes V(x) equal to 64,800. We can do this by setting V(x) equal to 64,800 and solving for x:

V(x) = x^4 − 42x^3 + 352x^2 + 2,688x = 64,800

x^4 − 42x^3 + 352x^2 + 2,688x - 64,800 = 0

This is a polynomial equation, and we can use techniques like factoring or synthetic division to solve for x. However, in this case, the polynomial is quite large and difficult to factor, so we can use a numerical method like the bisection method or the Newton-Raphson method to find an approximate value for x.

Using the bisection method, we can start by guessing a range of possible values for x, such as x = 50 to x = 100, and then repeatedly narrowing down the range until we find a value that makes V(x) = 64,800.

Using the Newton-Raphson method, we can start by guessing an initial value for x and then repeatedly updating the guess using the formula x(n+1) = x(n) - f(x(n))/f'(x(n)), where f(x) is the polynomial function and f'(x) is its derivative, until we find a value that makes V(x) = 64,800.

Both methods are likely to give an approximate value for x, which is around 94.3cm.

Answer:

Change the fractions so the denominators match then add the two terms together.

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.

The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.

In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.

Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.

Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.

Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.

Therefore, the correct answer is: One-time pad.

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The linear function is y = (-1/2)x + 4.

What is a linear function?

A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.

Here, we have

Given,

A linear function has an x-intercept of 8 and a y-intercept of 4.

So, The two points on the line are (8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 - 8).

slope(m) = -4/8.

slope(m) = -1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Hence, the linear function is y = (-1/2)x + 4.

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Total 12 gallons of fuel was burned

What is the relation between Time, Spped and Diatnce?

The formula speed distance time is used to describe the connection between speed, distance, and time. That is, speed = distance / time. To put it another way, distance divided by speed equals time. You can figure out the third input if you know the first two.

Solution:

10 gallons fuel is burned per hour

Distance Travelled by the Plane = 120 nautical miles

Speed of the Plane = 100 nautical miles per hours

Time = Distance / Speed

Time = 120 / 100 = 1.2 hours

Since 10 gallons of fuel is burned every hour, so total fuel burned in 1.2 hours is 12 gallons

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9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \(\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}\)

_____

Additional comment

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

Answer: For the population to be equal

p1 = p2

or

500*t^3/2 = 100*t^2

500/100 = t^2/t^1.5

5 = t^0.5

t = 25

After 25 years the population will be equal

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer: x=17

Step-by-step explanation:

Simplifying

5x = 85

Solving

5x = 85

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 17

Simplifying

x = 17

The value of x in the equation is 17 .

Given,

5x = 85

Solving

5x = 85

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 17

Simplifying

x = 17

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When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

It's A, Because it makes the most sense in this algebra question.

Step-by-step explanation:

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

The total cost of 44 people in the class party will be $631

The total cost in dollars of a class party is 59 + 13n

Where n = number of people attending in the class party

Let F(n) be the function representing the total cost in dollars of a class party

Such as, F(n) = 59 + 13n

As per the question, the total cost of attending the 44 people will be:

For 44 people we have n = 44

As we had, F(n) = 59 + 13n

Here, F(n) will be treated as a function in which n will be its domain while F(n) will give the output as a range.

F(44) = 59 + 13(44)

     = 59 + 572

    = 631

Total cost will be $631

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Answer:

since 7 feet is 2.1336

aproximatly would be 2.08 rounded 2 meters

Step-by-step explanation:

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

Tap for fewer steps...

Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

Tap for fewer steps...

Move all terms not containing yy to the right side of the equation.

Tap for fewer steps...

Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

Tap for fewer steps...

Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

Tap for fewer steps...

Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer: 4.628

Step-by-step explanation:

Answer

the rectangular coordinate is (6.15, 7.88)

Explanation

Given the following points

B = (10, 52 degrees)

B = ( r, theta)

Let r = 10 and theta = 52 degrees

Step 1: Find sin 52 and cos 52

Sin 52 = 0.7880

Cos 52 = 0.6157

Step 2: find the x and y - coordinates

X - coordinate = r x cos 52

y - coordiante = r x sin 52

x - coordiante = 10 x 0.6157

x - coordiante = 6.15

y - coordinate = 10 x 0.7880

y - coordinate = 7.88

Therefore, the rectangular coordinate is (6.15, 7.88)

Answer:

y>3 i think

Step-by-step explanation:

do not count on me

Based on the given information, g(x) has a larger average rate of change than f(x) = 2^x over that interval.

What is a function?

A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.

To determine which function has a larger average rate of change between x=2 and x=3 than f(x) = 2^x, we need to find the average rate of change of f(x) over that interval first.

The average rate of change of f(x) between x=a and x=b is given by:

(f(b) - f(a))/(b - a)

In this case, a=2 and b=3, so we have:

(f(3) - f(2))/(3 - 2)

= (2^3 - 2^2)/(1)

= (8 - 4)/(1)

= 4

So the average rate of change of f(x) between x=2 and x=3 is 4.

Now we need to find another function whose average rate of change over the interval (2, 3) is greater than 4.

One such function could be g(x) = 3x - 4. To find its average rate of change over the interval (2, 3), we have:

(g(3) - g(2))/(3 - 2)

= (3(3) - 4) - (3(2) - 4))/(1)

= (5)/(1)

= 5

Since the average rate of change of g(x) over (2, 3) is greater than 4, we can conclude that g(x) has a larger average rate of change than f(x) = 2^x over that interval.

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The domain of g(x) is all real numbers, and the range is (61, ∞) and the range is (61, ∞).

The domain of a function is the set of all possible input values for which the function is defined, while the range is the set of all possible output values.

For the given function g(x) = -1/4 (x−17)² + 61, the domain is all real numbers since there are no restrictions on the input values.

To find the range, we can use the fact that the vertex of the parabola is at (17, 61) and the coefficient of the squared term is negative, indicating a downward opening parabola.

Thus, the maximum value of the function occurs at the vertex and is 61, which is also the minimum possible value. Therefore, the range is (61, ∞).

In summary, the domain of g(x) is all real numbers, and the range is (61, ∞).

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The value of x for log (5-2 x)=0 is 2.

It is established that the exponential equation x = ay and the logarithmic function y = logax are equal. Only when x = ay, a > 0, and a 1 do y and logax coincide. The base-a logarithmic function is what it is known as. Think about what it means for the exponential function to be inversed: x = ay.

Given,

log (5-2 x)=0

It can be expressed as -

5 - 2x = 10⁰

= 5 - 2x = 1

= x = 2

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The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

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Answer: 113

Step by Step explanation:  

12/2=6

inches.π⋅6^2≈113

The area of the circle with diameter 12 units is 113.04 square units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The given circle has a diameter of 12.

We have to find the area of the circle.

The formula for Area of circle=πr²

Radius of circle = Diameter/2

=12/2

Radius=6

Now let us put r value in Area of circle formula

A=3.14×6²

=3.14×36

=113.04 square units.

Hence, the area of the circle with diameter 12 units is 113.04 square units.

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Answer:Check Below

Step-by-step explanation:

To find the percentage of miles jogged on the treadmill, you need to divide the number of miles jogged on the treadmill by the total number of miles jogged and then multiply by 100.Miles jogged on treadmill = 12Total miles jogged = 60Percentage of miles jogged on the treadmill = (12/60) x 100% = 20%Therefore, Samantha jogged 20% of her total distance on a treadmill.

Answer:

1/8

Step-by-step explanation:

you add 16 and 24 which is 40

there are 5 ppl who are left handed

which is 5/40 which is simplify to 1/8

hope this helps

Answer: go on quizlet but my guess is 2/3

Step-by-step explanation: i guessed tbh

The surface area of the resulting solid is 24 square units.

To find the surface area of the solid formed by gluing two cubes together, we need to determine the dimensions of the resulting shape.

Let's denote the side lengths of the cubes as a and b, where a corresponds to the smaller cube with volume 8, and b corresponds to the larger cube with volume 64.

Since the volume of a cube is given by the formula \($V = s^3$\), we have \($a^3 = 8$\) and \($b^3 = 64$\). Solving these equations, we find a = 2 and b = 4.

When the cubes are glued together at their faces, the resulting shape is a rectangular prism with dimensions \($2 \times 2 \times 4$\).

The surface area of a rectangular prism can be calculated using the formula A = 2lw + 2lh + 2wh, where l, w, and h are the lengths of the sides.

In this case, we have l = 2, w = 2, and h = 4. Substituting these values into the formula, we get:

\(A = 2(2 \times 2) + 2(2 \times 4) + 2(2 \times 4) = 24.\)

Therefore, the surface area of the resulting solid is 24 square units.

Regarding the second question about Simpson's rule, we don't have enough information to determine the value it gives. The value of Simpson's rule depends on the specific function being integrated and the number of intervals used in the approximation.

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Answer:

C

Step-by-step explanation:

2x + 3 = 5

____ ____

x 2

(cross multiply)

2(2x+3) =5x

4x + 6 = 5 x

6 = 5x - 4x

6 = x