A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of car: economy or luxury.
The charge E (in dollars) to rent an economy car is given by the function =E+0.60M11.95, where M is the number of miles driven. The charge L (in dollars) to rent a luxury car is given by the function =L+1.25M21.40.

Let C be how much more it costs to rent a luxury car than an economy car (in dollars). Write an equation relating C to M. Simplify your answer as much as possible.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

21. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

14m^2

Step-by-step explanation:

area of triangle = 1/2bh

= 1/2(3)(4) = 6

area of rectangle = bw

=(4)(2) = 8

6+8 = 14

Answer:

14m²

Step-by-step explanation:

rectangle area= 4*2=8

triangle area= 1/2*3*4=6

total area=14

Answer:

135

Step-by-step explanation:

two negatives equals a positive meaning -43 x -3 is basically 43

x 3 which makes it 135

Answer: 252 decibels

given:

6:5:3 = ratio of L to P to G

P=90

one unit is 90/5 because the five represents a smaller version of 90

one unit = 18

answer=18(6+5+3)=252

brainliest please im sorry this one is late

The answer is 252 decibels

By using Stokes theorem The flux of the vector field F = 4i + 4j + 4k across the surface S is also 12.

To use the Stokes theorem to find the flux of the vector field F across the surface S, we first need to find the curl of F.
The curl of F is given by:
curl(F) = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k
Since F = 4i + 4j + 4k, we have:
∂Fz/∂y = 0
∂Fy/∂z = 0
∂Fx/∂z = 0
∂Fz/∂x = 0
∂Fy/∂x = 0
∂Fx/∂y = 0
Therefore, the curl of F is zero:
curl(F) = 0

Now we can use the Stokes theorem, which states that the flux of a curl-free vector field across a closed surface is equal to the line integral of the vector field around the boundary of the surface.
Since S is not a closed surface, we need to find a curve C that bounds S. In this case, C is the intersection of S with the three coordinate planes x = 0, y = 0, and z = 0.
Along the curve C, we have: - When x = 0:
F = 4j + 4k
dS = dy dz
- When y = 0:
F = 4i + 4k
dS = dx dz
- When z = 0:
F = 4i + 4j
dS = dx dy
Therefore, the line integral of F along C is:
∫CF · dr = ∫(y=0 to 1) 4i + 4k · (dx, 0, dz) + ∫(x=0 to 1) 4j + 4k · (0, dy, dz) + ∫(z=0 to 1) 4i + 4j · (dx, dy, 0)
= ∫(y=0 to 1) 4dz + ∫(x=0 to 1) 4dz + ∫(z=0 to 1) 4dx dy
= 12

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Answer: X=12

Step-by-step explanation:

Simplify

Split the problem into two cases: one positive and one negative

and then Solve equation

The required equation of the line is 3x + 2y = 8.

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

The required equation of the line is

(y-4) = (0+6)/(4-8) (x-0)

or, y - 4 = 6/(-4) x

or, y - 4 = -3/2 x

or, 2y - 8 = -3x

or, 3x + 2y = 8

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Answer:

-3x + 5

Step-by-step explanation:

y = mx + bm = -3y = -3x + bFind b from the given point.-7 = -3(4) + bb = 5y = -3x + 5

Answer:

1.  X=25                     2.  X=24

Step-by-step explanation:

for the first one the equation is x=1-b/2

so... x=60-10/2

x=50/2

x=25

the second one because it's a triangle you use Pythagorean theorem

a^2+b^2=C^2  C= the hypotenuse

so...   x^2+7^2= 25^2            25^2= 25*25

x^2 + 49= 625

x^2= 576 (subtract 49 on both sides)

now square root 576  =  24*24=576

x=24

The angles of the parallelogram are 110° , 70° ,  110° and 70°

The sides are 39 and 27 units.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure,

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data the parallelogram be represented as ABCD

where

The measure of ∠A = 4y°

The measure of ∠B = ( 6y + 4 )°

The measure of ∠C = 3z°

The measure of ∠D = ( 3y + 37 )°

From the parallelogram theorem , we get

The measure of ∠B = The measure of ∠D   be equation (1)

Substituting the values in the equation , we get

( 6y + 4 )°=  ( 3y + 37 )°

3y = 33

y = 11

Substituting the value of y in equation ( 1) , we get

( 6y + 4 )°= 70

The measure of ∠B  = 70°

So , the measure of ∠B = the measure of ∠D = 70°

The total internal angle = 360°

So , z° + z = 360° - 72° - 72°

2z° = 220°   be equation (3)

z = 110

And , The measure of ∠A = The measure of ∠C = 110°

The sides are ;

2n + 3 = 3n - 15

n = 18

Then ;

2n + 3 = 36 + 3 = 39 unit

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Answer:

The square root of 2,100 is approximately 45.8257569495584 when rounded to 15 decimal places.

Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

The inclusion probability for unit 6 in a PPS sampling without replacement at the PSU level is calculated by dividing its size measure by the cumulative size measure, and then multiplying the result by the desired number of PSUs to be selected.

To determine the inclusion probability for unit 6 in a two-stage Probability Proportional to Size (PPS) sampling without replacement at the Primary Sampling Unit (PSU) level, follow these steps:

1. Calculate the size measure (e.g., population) for each PSU in the sampling frame.
2. Calculate the cumulative size measure for all PSUs.
3. Divide the size measure of unit 6 by the cumulative size measure to obtain the selection probability for unit 6.
4. Multiply the selection probability by the desired number of PSUs to be selected (e.g., n) to find the inclusion probability for unit 6.

In summary, the inclusion probability for unit 6 in a PPS sampling without replacement at the PSU level is calculated by dividing its size measure by the cumulative size measure, and then multiplying the result by the desired number of PSUs to be selected.

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Answer:

100,000,000 . B

Step-by-step explanation:

10 to the 8th power or 10^8 = 100,000,000 (7 extra zeroes)

Answer:

(B) 100,000,000

Step-by-step explanation:

I used a calculator

10x10x10x10x10x10x10x10= 100,000,000

hope it helps :)

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

It will be the 4th one because that is what a function is

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

The equation that represents the relationship between the amount of flour, y (in cups), and the number of eggs, x, in the recipe is y = 3x.

l Proportional relationships are a type of linear relationships where the ratio between two variables is constant. When two variables, x and y, are proportional, we can represent the relationship between them using an equation of the form y = kx, where k is the constant of proportionality.

In the given problem, we are told that the amount of flour, y (in cups), is proportional to the number of eggs, x, in a recipe.

We can represent this relationship using the equation y = kx, where k is the constant of proportionality. We are also given that the recipe calls for 6 cups of flour for every 2 eggs.

Using this information, we can find the value of k as follows:6 = k × 2k = 6/2 = 3This means that for every additional egg added to the recipe, we need 3 more cups of flour.Interpreting the slope:

Slope is a measure of the steepness of a line. In the equation y = 3x, the slope is 3.

This means that for every increase of 1 in the number of eggs, the amount of flour required increases by 3 cups. Alternatively, we can say that the rate of change of the amount of flour with respect to the number of eggs is 3 cups per egg.

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Answer:

Organize

Step-by-step explanation:

Answer:

0.5/3 or 16.67

Step-by-step explanation:

Slope is y 2 minus y 1 / x 2 minus x 1.

1-0.5/6-3

0.5/3

Answer:

The answer is c

Step-by-step explanation:

Answer:

C. 16 3/4

Step-by-step explanation:

Answer:

y = - x² - 4x + 13

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = - (x + 2)² + 17 ← expand factor using FOIL

   = - (x² + 4x + 4) + 17 ← distribute parenthesis by - 1

   = - x² - 4x - 4 + 17 ← collect like terms

y = - x² - 4x + 13

Answer:

y = -x² -4x +13

Step-by-step explanation:

y = - ( x+2)² + 17

y = - x² -4x -4 +17

y = -x² -4x +13

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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Answer:

The graph of x < 4 is  

✔ an open circle at 4 shaded to the left

The graph of 7 < x is  

✔ an open circle at 7shaded to the right

Because this is an “and” compound inequality, solutions satisfy  

✔ both inequalities

The solution set to the compound inequality is  

✔ no solution

Step-by-step explanation:

Got it right

Answer:

D C A D in that order i got it right on edge 2020

Step-by-step explanation: