A taxi charges $1.75 plus a free of $0.75 for each mile traveled the total cost of a ride without a tip is, $4.75. How many miles in the trip Use m for the number of miles traveled.

27.80% is percentage of items .

What percentage means?

Mean = 7

standard deviation = 3 ounces

Required % = p (5.6<x < 7.1 ) × 100 = ?

z = x - μ/σ = 5.6 - 7/2

 z = 7.1 - 7/2 = 0.05

∴ P(5.6 < x < 7.1 ) = p ( - 0.7 < z < 0.05 )

   p( z < 0.05 ) - p (  z < - 0.7)

= 0.51994 - 0.24196 ≅ 0.2780

So, required % =  0.2780 × 100

                         = 27.80%

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(a)  The components of the two vectors are  A - B = 2.00i + 8.00j + 2.00k.

(b)  The magnitude of the vector difference A - B is approximately 11.49.

(c) The vector product A × B is -16.00i + 14.00j - 22.00k.

(a) To calculate A - B, we subtract the corresponding components of the two vectors:

A - B = (4.00i + 5.00j - 3.00k) - (2.00i - 3.00j - 5.00k)

Simplifying:

A - B = 4.00i + 5.00j - 3.00k - 2.00i + 3.00j + 5.00k

Combining like terms:

A - B = (4.00i - 2.00i) + (5.00j + 3.00j) + (-3.00k + 5.00k)

A - B = 2.00i + 8.00j + 2.00k

Therefore, A - B = 2.00i + 8.00j + 2.00k.

(b) To calculate the magnitude of the vector difference A - B, we use the formula:

|A - B| = sqrt((A - B) · (A - B))

where (A - B) · (A - B) represents the dot product of A - B with itself.

|A - B| = sqrt((2.00i + 8.00j + 2.00k) · (2.00i + 8.00j + 2.00k))

Expanding and calculating the dot product:

|A - B| = sqrt((2.00i · 2.00i) + (2.00i · 8.00j) + (2.00i · 2.00k) + (8.00j · 2.00i) + (8.00j · 8.00j) + (8.00j · 2.00k) + (2.00k · 2.00i) + (2.00k · 8.00j) + (2.00k · 2.00k))

|A - B| = sqrt(4.00 + 16.00 + 4.00 + 16.00 + 64.00 + 4.00 + 4.00 + 16.00 + 4.00)

|A - B| = sqrt(132.00)

|A - B| ≈ 11.49

Therefore, the magnitude of the vector difference A - B is approximately 11.49.

(c) To calculate the vector product (cross product) between vectors A and B, we use the formula:

A × B = (A_yB_z - A_zB_y)i + (A_zB_x - A_xB_z)j + (A_xB_y - A_yB_x)k

Plugging in the values:

A × B = ((5.00)(-5.00) - (-3.00)(-3.00))i + ((-3.00)(2.00) - (4.00)(-5.00))j + ((4.00)(-3.00) - (5.00)(2.00))k

Simplifying:

A × B = (-25.00 + 9.00)i + (-6.00 + 20.00)j + (-12.00 - 10.00)k

A × B = -16.00i + 14.

00j - 22.00k

Therefore, the vector product A × B is -16.00i + 14.00j - 22.00k.

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Consider the two vectors A=4.00i^+5.00j^​−3.00k^ and B=2.00i^−3.00j^​−5.00k^ (a) Calculate A−B using the components of the two vectors. (b) Calculate the magnitude of the vector difference A−B. (c) Calculate the vector product between the two vectors, A×B.

Answer:

??

Step-by-step explanation:

Answer:

Check below

Step-by-step explanation:Hi,

Here's a little of Macroeconomics. Especially under Keynes's viewpoint and Economics.

1) These are intertwined concepts: The output gap, Monetary Policy, and Inflation.

Output Gap: This fits as a parameter that shows us if inflation or deflation. Usually, we notice it in case of inflation.

If the demand rises rapidly on a series of products and services an output gap occurs. And subsequently, the prices fly high due to the sudden pressures in the whole chain of supply, causing inflation.

Then the Government to face the inflation makes use of the Monetary policy to slow the inflation rate down is making use of interest rates. By doing that, the Fed or any other Central Bank makes the loans more expensive and helps to decrease the inflation rate.

2.

The Market Value on GDP is not steady, so it is not possible to talk about Gross Domestic Product and exclude how much does it value on the International Market. Let's say a country that almost only produces petrol its GDP is also directly linked to the International value of Petroleum.

Similarly, final goods and services also get into account. Since our economy services are also as valuable as a commodity, or a product, for instance, the banking services on Luxembourg are part of their GDP.

Moreover, a production within a country works like that if a Spanish man works temporarily in Belgium, the value of his work is credited to Spain's GDP.

And finally, since GDP is measured according to period then there's a need to get into account which period are we considering?

The test statistic is z = -1.60

To test the claim that the percentage of readers who own a personal computer is different from the reported percentage, we can use a hypothesis test. Let's define our null hypothesis (H0) and alternative hypothesis (H1) as follows:

H0: The percentage of readers who own a personal computer is equal to 34%.

H1: The percentage of readers who own a personal computer is different from 34%.

We can use the z-test statistic to evaluate this hypothesis. The formula for the z-test statistic is:

\(z = (p - P) / \sqrt_((P * (1 - P)) / n)_\)

Where:

p is the sample proportion (30% or 0.30)

P is the hypothesized population proportion (34% or 0.34)

n is the sample size (360)

Let's plug in the values and calculate the test statistic:

\(z = (0.30 - 0.34) / \sqrt_((0.34 * (1 - 0.34)) / 360)_\\\)

\(z = (-0.04) / \sqrt_((0.34 * 0.66) / 360)_\\\)

\(z = -0.04 / \sqrt_(0.2244 / 360)_\\\)

\(z= -0.04 / \sqrt_(0.0006233)_\)

\(z = -0.04 / 0.02497\\z = -1.60\)

Rounding the test statistic to two decimal places, the value is approximately -1.60.

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Answer:

it b7857575757575757575757575775757575757577575757575757575757756886868686979708

Step-by-step explanation:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

about 2 people

Step-by-step explanation:

16.95+9x=25.50+5x

16.95+4x=25.50

4x=8.55

x=2.13

Answer:

-21

Step-by-step explanation:

3x-5=2

4x 2=2

2x-3=2

add them together you will get -21

The condition for the equation (∂U/∂V)T = (∂U/∂P)T = (∂H/∂V)T = 0 to be true is that the system described must be in a state of mechanical, thermal, and chemical equilibrium.

Let's break down the conditions for each partial derivative:

1. (∂U/∂V)T = 0: This condition implies that the internal energy of the system does not change with respect to volume at constant temperature.

It indicates mechanical equilibrium, where the system is in balance and no work is being done on or by the system due to volume changes.

2. (∂U/∂P)T = 0: This condition suggests that the internal energy of the system does not change with respect to pressure at constant temperature.

It indicates thermal equilibrium, where the system is in balance and there is no transfer of energy as heat due to pressure changes.

3. (∂H/∂V)T = 0: This condition implies that the enthalpy of the system does not change with respect to volume at constant temperature.

It also indicates mechanical equilibrium, where the system is in balance and there is no work being done on or by the system due to volume changes.

In summary, the condition (∂U/∂V)T = (∂U/∂P)T = (∂H/∂V)T = 0 is true when the system is in a state of mechanical, thermal, and chemical equilibrium, where there are no changes in internal energy, pressure, and enthalpy with respect to volume at constant temperature.

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Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1 and 1 to the power of anything is 1.  In this case it is negative:

(-14^0)^-2

-1^-2

1

Answer:

1,386 cm²

Step-by-step explanation:

Using the formulas,

A = πr^2

d = 2r

Solving for area,

A = 1/4 πd^2 = 1/4 · π · 42^2 ≈ 1386cm²

Answer:

1386 cm²

Step-by-step explanation:

Given : -

Diameter ( d ) = 72 cm

The value of π = 22/7

To find : Area of a circle

We know that,

We know that,the Diameter of the circle = 2 x Radius ( r )

We know that,the Diameter of the circle = 2 x Radius ( r )d = 2r

42 = 2r

r = 42/2

r = 21 cm

r = 21 cmFormula : -

r = 21 cmFormula : -A = πr²

A = (22/7) * 21²

= (22/7) * 21 * 21

= (22 * 21 * 21)/7

= 22 * 21 * 3

A = 1386 cm²

Hence,

the Area of the Circle is 1386 cm².

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

2x-3x = 21+10

-x = 31

therefore, x = -31

Answer:

x=11

Step-by-step explanation:

2(x+5)=3(x+7)

2x+10=3x+21

3x-2x=21-10

x=11

Hope this helps! :)

Answer:

13/40

Step-by-step explanation:

Total No of pupils = 40

No of pupils who play the flute = 15

No of pupils who play the Piano = 7

No of pupils who play both = 5

Total No of pupils who can play the atleast one instrument = 15+5+7= 27

No one pupils who play neither instrument = 40 - 27 = 13

Probability of a pupil being chosen at random who plays neither instrument = No of Pupils who play neither instrument/ Total No of pupils = 13/40

Therefore the answer will be 13/40

Answer:

No, it's not a one to one function

Step-by-step explanation:

In one to one function, the function is either increasing or decreasing. Also, in this type of function, the same values can not be assigned to two different domain elements.

In this case, distance from city C and City E are both 1195 miles from city M.

Thus defaults the law of one to one function.

Therefore it's not one to one function.

The probability that  is more likely between selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint id; Both are equally lilkely.

We are given;

Number of blue tubes = 7

Number of red tubes = 4

Number of yellow tubes = 3

Number of green tubes = 6

Thus;

Total number of painted tubes = 7 + 4 + 3 + 6 = 20

Probability of selecting a blue tube = 7/20

Probability of selecting a red tube = 4/20

Probability of selecting a yellow tube = 3/20

Probability of selecting a green tube = 6/20

Thus;

P(selecting a tube of blue or yellow paint) = (7/20) + (3/20) = 10/20

P(selecting a tube of green or red paint) = (6/20) + (4/20) = 10/20

Thus, they are equally likely.

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Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

\(x = \dfrac{-53}{19}\)

Thus, the value of x is -3.

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Answer:

Area of the square base = 100cm²

Surface area of square pyramid= 380cm²

Step-by-step explanation:

Area of the square base= L × L

= 10cm × 10cm

= 100cm²

The surface area of square pyramid= Area of the base + Area of the triangles forming the pyramid.

= 100cm² + 280cm²

The volume of the spherical cap is approximately 186624π cubic units.

A spherical cap is a portion of a sphere that lies between two parallel planes that intersect the sphere. To find the volume of a spherical cap with radius and height , we can use the following formula:

V = \(\frac{\pi h^{2}}3(3r-h)\)

where is the radius of the sphere.

Substituting the given values of and , we get:

V=\(\frac{\pi (24)^{2}}3(3*37-24)\)

Simplifying this expression, we obtain:

V= \(\frac{\pi (576)}3(81)\)

V=186624\(\pi\)

Therefore, the volume of the spherical cap with radius 37 and height 24 is approximately 186624π cubic units.

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The volume of the spherical cap is approximately 186624π cubic units.

A spherical cap is a portion of a sphere that lies between two parallel planes that intersect the sphere. To find the volume of a spherical cap with radius and height , we can use the following formula:

V = \(\frac{\pi h^{2}}3(3r-h)\)

where is the radius of the sphere.

Substituting the given values of and , we get:

V=\(\frac{\pi (24)^{2}}3(3*37-24)\)

Simplifying this expression, we obtain:

V= \(\frac{\pi (576)}3(81)\)

V=186624\(\pi\)

Therefore, the volume of the spherical cap with radius 37 and height 24 is approximately 186624π cubic units.

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Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Answer:

c) gives each member of the population a known chance to be selected

Step-by-step explanation:

A sample is said to be  a probability sample when each and every unit of the population would have the known chance or the probability i.e. more than zero when selected in the sample

So according to the given options, it is the sample where each member have the known chance to be selected

Therefore the option c is correct

Note that:

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

Use the slope formula to find the slope.

Use the point slope form formula.

Note that:

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

Use the slope formula to find the slope.

Use the point slope form formula.

Note that:

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

Use the slope formula to find the slope.

Use the point slope form formula.

Hoped this helped!

Answer:

7/5  to the frst power

Step-by-step explanation:

tuyv iiiiiiiinnnnn

Answer:

distance = 10 units

Step-by-step explanation:

(x.y) = \(\sqrt{(-4-4)^{2}+(-1-5)^{2} }\)= 10

9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is  53 when x is between 0 and 9.

What is integration ?

Integration is a fundamental concept in calculus, which is used to find the area under a curve and the total change of a function. It is the reverse process of differentiation and can be used to find the original function, given its derivative.

For f(x) = 5 for x < 5, we have

∫(5dx) from 0 to 5 = 5*(5-0) = 25

For f(x) = x for x ≥ 5, we have

∫(x dx) from 5 to 9 = (1/2)x^2 from 5 to 9 = (1/2)(9^2 - 5^2) = (1/2)(81 - 25) = (1/2)(56) = 28

So the definite integral of the piecewise function is

∫(9 f(x) dx) from 0 to 9 = ∫(5dx) from 0 to 5 + ∫(x dx) from 5 to 9 = 25 + 28 = 53,

Therefore , 9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is  53 when x is between 0 and 9.

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Answer:

the second and fourth option, remember y = f(x) = a + bx

Step-by-step explanation:

Answer: y= 5x +7

Slope is rise over run. From the two given points we rise 10 and run 2 which is 10/2 or 5.

7 is how high/low we are when we are at x=0

Answer:

Hi!

y= 5x+7

The five is the slope and i counted from the point on the y axis until the next point on the line. Which is 10/2. simplified that is 5/1 or just 5.

The seven in where the line intercepts the y axis.

Hope this helps! Have a good day and don't forget to be tiger fierce!! :)

Answer:

1. (2,5),(1,3.5),(4,8),(6,11)

2. This is not a proportional relationship (explanation below)

Step-by-step explanation:

For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.  

This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.

The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).

Therefore,

We select several x and y values,

1) Take x=0,

y = 1.5(0) + 2 =2.

The point is (0,2).

2) Take y=0,

0 = 1.5x + 2

x = -2/1.5 = -1.333

The point is (-1.333,0).

3) Take x=1,

y = 1.5(1) + 2 = 3.5

The point is (1,3.5).

4) Take y=1,

1 = 1.5x +2

1.5x = -1

x = -1/1.5 = -0.666.

The point is (-0.666,1).

The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).

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