Is 4.5 equal to...
-nine-halves
-thirty-one eighths
-thirteen-fourths

The correct option is: 4) 0.1286; fail to reject the null hypothesis.

Given h1: p(=/)4/5 and the test statistic is z = 1.521.

Also, we need to use a 0.05 significance level.

The formula to calculate the p-value is:

P-value = P(Z > 1.521) + P(Z < -1.521)

P-value = P(Z > 1.521) + P(Z > 1.521) [because Z-distribution is symmetrical]

P-value = 2 * P(Z > 1.521)

To find the p-value, we can use a standard normal table or calculator.Using standard normal distribution table, we get:

P(Z > 1.521) = 0.0636

Therefore, the p-value is 2 * 0.0636 = 0.1272.

Since the p-value (0.1272) is greater than the level of significance (0.05), We are unable to rule out the alternative.

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Answer:

As an improper fraction: \(15/11\)

As a mixed number: \(1 \frac{4}{11}\)

As a decimal: 1.36

Step-by-step explanation:

\(3/5x - 1/3x = x - 1\)

Find a common denominator between 5 and 3 (15)

\((3 * 3) / 15x - (1 * 5) / 15 = x - 1\)

\(9/15x - 5/15 = x - 1\)

Subtract the fractions

\(4/15x = x - 1\)

Subtract x from both sides of the equation

\(-11/15x = -1\)

Multiply both sides of the equation by 15/-11 to simplify

x = 15/11

Hope this helps :)

Answer:

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Step-by-step explanation:

(3)/(5)x-(1)/(3)=x-1

Simplify  (3)/(5)x-(1)/(3)x

(4x)/(15)=x-1

Move all terms containing  x  to the left side of the equation.

-(11x)/(15)=-1

Multiply both sides of the equation by    -(15)/(11)

-(15)/(11)(-(11)/(15))= -(15)/(11) . -1

Simplify both sides of the equation.

(15)/(11)

The result can be shown in multiple forms.

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Answer:

∠DAB = 99°

Step-by-step explanation:

Given:

ABCD is  PARALLELOGRAM

∠CDA = 81°

Find:

∠DAB

Computation:

ABCD is  PARALLELOGRAM

So,

∠CDA + ∠DAB = 180°

81° + ∠DAB = 180°

∠DAB = 99°

The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

Step-by-step explanation:

Any value <0 that has the absolute value taken of it, becomes positive. Any positive number stays positive when the absolute value taken of it.

abs(-2/3) = 2/3

abs(4) = 4

Answer:

$531.83

Step-by-step explanation:

88*4=352

75+120+85+140=420. Take away the 200 he was allowed. Leaves 220

220*.20 =44

18.50*4=74

gas is set at 61.83

Sum each of those.

352+44+74+61.83= $531.83

\( \sf = 6(3a - 8b + 2)\)

\( \sf = 18a - 48b + 12\)

Opsi : B

Answer:

Step-by-step explanation:

Distribute 6 to all terms in (3a - 8b + 2 )

6(3a  - 8b + 2) = 6*3a - 6*8b + 6*2

                        = 18a - 48b + 12

Answer:

y = 156 degrees

Step-by-step explanation:

90-66=24

180-24= 156

Answer:

y is 156°.

Step-by-step explanation:

We know ∠FED is 66°, and ∠FED & ∠DEB (or z) equal 90° degrees. That means ∠z is 24° degrees as is ∠x, since it is adjacent to ∠z. ∠x and ∠y are supplementary, which meant they equal 180°. Subtract 24° (∠x's measurement ) from 180° to get your final answer of y being 156°.

I hope this helps!~

The (a) and (b) parts show the 3D plot of Z using different functions (plot_surface and surf).

In part (c), the plot is modified to have interpolated shading using the plot_surface function with a different colormap (coolwarm).

In part (d), a contour plot of Z is created using the contour function, and a custom colormap is set up based on the limits of the function.

Finally, in part (e), a combination of the surface and contour plot is generated using the plot_surface and contour functions together.

What is Python?

Python is a general-purpose language, meaning that it can be used to create a number of different programs and is not specialized for any particular problem. Advertisement Brainly User Response: Python is a computer programming language often used to create websites and software, automate tasks, and perform data analysis.

Here's the code to generate the plots you described using Python and the Matplotlib library:

import numpy as np

import matplotlib.pyplot as plt

# Create x and y vectors

x = np.arange(-5, 5.1, 0.1)

y = np.arange(-5, 5.1, 0.1)

# Create matrices X and Y using meshgrid

X, Y = np.meshgrid(x, y)

# Calculate vector 2, Z = sin(x^2 + y^2)

Z = np.sin(X**2 + Y**2)

(a) Create a 3D plot using mesh plotting function

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

ax.plot_surface(X, Y, Z)

ax.set_xlabel('X')

ax.set_ylabel('Y')

ax.set_zlabel('Z')

plt.title('3D Plot of Z')

plt.show()

(b) Create a 3D plot using surf plotting function

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

ax.plot_surface(X, Y, Z, cmap='viridis')

ax.set_xlabel('X')

ax.set_ylabel('Y')

ax.set_zlabel('Z')

plt.title('3D Plot of Z using surf')

plt.show()

(c) Modify the surface plot with interpolated shading and different colormaps

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

ax.plot_surface(X, Y, Z, cmap='coolwarm', rstride=1, cstride=1, linewidth=0, antialiased=False)

ax.set_xlabel('X')

ax.set_ylabel('Y')

ax.set_zlabel('Z')

plt.title('Modified 3D Plot with Interpolated Shading')

plt.show()

(d) Generate a contour plot of Z

plt.contour(X, Y, Z, cmap='rainbow')

plt.xlabel('X')

plt.ylabel('Y')

plt.title('Contour Plot of Z')

plt.colorbar(label='Z')

plt.show()

# Set up a custom colormap for parts (c) and (d)

cmap = plt.cm.get_cmap('coolwarm')

norm = plt.Normalize(vmin=-1, vmax=1)  # Set the limits of the colorbar

sm = plt.cm.ScalarMappable(cmap=cmap, norm=norm)

sm.set_array([])

# Generate a combination surface and contour plot of Z

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

ax.plot_surface(X, Y, Z, cmap=cmap, rstride=1, cstride=1, linewidth=0, antialiased=False)

ax.contour(X, Y, Z, zdir='z', offset=-1, cmap=cmap)

ax.set_xlabel('X')

ax.set_ylabel('Y')

ax.set_zlabel('Z')

plt.title('Combination Surface and Contour Plot of Z')

plt.colorbar(sm, label='Z')

plt.show()

This code will generate the requested plots.

The (a) and (b) parts show the 3D plot of Z using different functions (plot_surface and surf).

In part (c), the plot is modified to have interpolated shading using the plot_surface function with a different colormap (coolwarm).

In part (d), a contour plot of Z is created using the contour function, and a custom colormap is set up based on the limits of the function.

Finally, in part (e), a combination of the surface and contour plot is generated using the plot_surface and contour functions together.

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Answer:

v=88

Step-by-step explanation:

step 1: subtract 12 from each side (22=v/4)

step 2: Multiply each side by 4 (88=v)

Check

88/4 =22

+12=34 does work

Answer:

y = 1/2x - 9

General Formulas and Concepts:

Alg I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form: 4x - 8y = 72

Step 2: Find slope-intercept form

The surface area of the rectangular prism with dimensions of 15 in, 9 in, 6 in, and 12 in is 666 square inches.

To find the surface area of these measurements, we need to use the formula for the surface area of a rectangular prism:

Surface area = 2lw + 2lh + 2wh

Plugging in the measurements we have:

Surface area = 2(15)(9) + 2(15)(6) + 2(9)(12)
Surface area = 270 + 180 + 216
Surface area = 666 square inches

Therefore, the surface area of the rectangular prism with dimensions of 15 in, 9 in, 6 in, and 12 in is 666 square inches.

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Answer:

x = \(\frac{c-ab}{a}\)

Step-by-step explanation:

a(x + b) = c ← distribute parenthesis on left side

ax + ab = c ( subtract ab from both sides )

ax = c - ab ( divide both sides by a )

x = \(\frac{c-ab}{a}\)

Answer:

Just expand and solve for x :)

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

Answer:

$40.55

Step-by-step explanation:

The cost per liter of gas is $0.55 obtained by the unitary method.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A gas station is charging $2.09 per gallon of gas.

We know 1 gallon is equal to  3.785 liters.

So, 3.785 liters of gas costs $2.08.

∴ The cost of per liter of gas is $(2.09/3.785) = $0.55.

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Answer:

110

Step-by-step explanation:

Answer:

second question: c = 47

third question: h = 19

Step-by-step explanation:

second question: add 25 and 69 (94) then divide by 2 and you get 47

third question: just solve the equation :) hope this helped

Answer:

The difference between -2and-3 and 1 and -3 is 1

Answer:

B. (1,4)

Step-by-step explanation:

you see the x and y coordinate by looking at the numbers (x,y) = (1,4)

Answer:

because Planet Earth is not flat, it's bulging. So we cannot take accurate and precise measurements from a reference line in terms of distance. Thus, we measure latitude and longitude.

Step-by-step explanation:

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

Step-by-step explanation:

The minimum interior angle possible for a regular polygon is given by the formula:

interior angle = (180° * (n-2)) / n

where n is the number of sides in the polygon. The formula is based on the fact that the sum of the interior angles of a polygon with n sides is equal to (n-2) * 180°.

As n increases, the value of the interior angle decreases and approaches the minimum value of 180°. However, for a regular polygon, all interior angles must be equal, so the minimum possible value is given by the formula above.

For example, consider a regular hexagon (n=6). The minimum interior angle is given by:

interior angle = (180° * (6-2)) / 6 = 120°

So, the minimum interior angle possible for a regular polygon is 120°.

The speed that an aeroplane is intended to fly at is called its maximum operating speed (VA). With elevations of 12, 15, and 18 degrees, the lift and G-force grow.

 Speed.

It is the rate at which a displacement adapts to its surroundings. A body's speed is a scalar quantity since it is directionless. It is also the rate at which displacement in relation to the environment is shifting in a particular direction.

Here,

The maximum operational speed of an aeroplane is the speed at which it is designed to fly (VA). Elevations of 12, 15, and 18 degrees result in increasing lift and G-force.

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Answer:

Y = 4

Step-by-step explanation:

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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