Car stats popular magazines rank car models based on their overall quality. describe two categorical variables and two quantitative variables that might be considered in determining the rankings.

It's D, 15!/(15 - 5)! .

15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of

15 * 14 * 13 * … * 2 * 1 = 15!

possible arrangements.

But you're taking 5 objects at a time, so we only have 5 positions to fill:

_ _ _ _ _

and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is

15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!

Therefore, the critical numbers of the function f(x) = x^8(x - 3)^7 are x = 0, x = 3, and x = 8/5.

To find the critical numbers of the function, we need to find the values of x at which the derivative of f(x) is equal to zero or does not exist.

Let's start by finding the derivative of f(x):

f(x) = x^8(x - 3)^7

f'(x) = 8x^7(x - 3)^7 + 7x^8(x - 3)^6

Now, we need to set f'(x) equal to zero and solve for x:

8x^7(x - 3)^7 + 7x^8(x - 3)^6 = 0

Factor out the common term of x^7(x - 3)^6:

x^7(x - 3)^6(8(x - 3) + 7x) = 0

This equation has two factors:

x^7 = 0 (which gives us x = 0 as a critical number)

(x - 3)^6(8(x - 3) + 7x) = 0

Expanding and simplifying the second factor:

(x - 3)^6(15x - 24) = 0

This gives us two more critical numbers:

x = 3 (since (x - 3)^6 cannot be zero)

x = 24/15 = 8/5

To know more about function,

https://brainly.com/question/31307415

#SPJ11

Answer:

− (8b − x) (5b + x)

Step-by-step explanation:

Answer:

12 times

Step-by-step explanation:

1 quart = 32 ounces

3 quart = x

x = 3 × 32 ounces

x = 96 ounces

The number of times of he need to fill an 8-ounce measuring cup to fill the pot is calculated as:

= 96 ounces/8 ounces measuring cup

= 12 times

Therefore, Alan needs to fill an 8 ounce measuring cup 12 times in order to fill the pot of soup.

The perimeter of the nonagon attached is

124.5

The formula for the perimeter of a nonagon (a polygon with nine sides):

Perimeter = 9 * side length

side length = 2 * apothem * tan(π/9)

= 2 * 19 * tan(π/9)

= 13.831

The perimeter

Perimeter = 9 * side length

Perimeter = 9 * 13.81

Perimeter = 124.5

Learn more about perimeter at

https://brainly.com/question/397857

#SPJ1

Answer:

4/7

Step-by-step explanation:

32:56

32÷2=16

56÷2=28

16:28

16÷2=8

28÷2=14

8:14

8÷2=4

14÷2=7

4:7

32:56 ~ 32/56

=4/7

it's recorded that out of 1000 people, 762 wear the corrective lenses.

just divide 762 from 1000 and multiply that result by 100.

762/ 1000 = .762

.762 x 100 = ? %

which is 76.2 %

so, we predict that 76.2% of Americans would wear corrective lenses.

A 90% confidence interval for the population mean (μ) is approximately 766.26 to 1054.13(rounded to the nearest whole number).

(a) To find the sample mean (x), we need to sum all the scores and divide by the number of scores (which is 12 in this case):

X = (1420 + 1227 + 989 + 691 + 726 + 833 + 722 + 747 + 547 + 630 + 1442 + 948) / 12

X ≈ 910.16

The sample mean (x) is approximately 838.75 (rounded to one decimal place).

(b) To find the sample standard deviation (s), we need to follow these steps:

Find the sample mean (x) obtained in part (a).

Subtract the sample mean from each individual score, square the result, and sum all the squared values.

Divide the sum of squared values by (n-1) (where n is the number of scores, which is 12 in this case).

Take the square root of the result.

Let's calculate:

x ≈910.16 (from part a)

Calculate the squared differences from the mean and sum them up:

\(=(1420 - 910.16)^2 + (1227 - 910.16)^2 + (989 - 910.16)^2 + (691 - 910.16)^2 + (726 - 910.16)^2 + (833 - 910.16)^2 + (722 - 910.16)^2 + (747 - 910.16)^2 + (547 - 910.16)^2 + (630 - 910.16)^2 + (1442 - 910.16)^2 + (948 - 910.16)^2\)

= 1011125

Divide the sum of squared differences by (n-1):

\(s^2 = 329230.3125 / (12 - 1)\)

\(s^2 \approx 91920.45\)

Take the square root of s^2 to get the sample standard deviation (s):

s ≈ √91920.45

s ≈ 303.18

The sample standard deviation (s) is approximately 303.18 (rounded to one decimal place).

(c) To construct a 90% confidence interval for the population mean (μ), we can use the formula:

Confidence interval = x ± (z * (s / √n))

Since the population is assumed to be normally distributed, we can use a z-table to find the critical value for a 90% confidence level. The critical value for a 90% confidence level is approximately 1.645.

Now, let's calculate the confidence interval:

Confidence interval = 910.16± (1.645 * (303.18/ √12))

Lower bound of the confidence interval = 910.16 - 143.97
                                                                   = 766.26

Upper bound of the confidence interval = 910.16+143.97 =
                                                                   = 1054.13

A 90% confidence interval for the population mean (μ) is approximately 766.26 to 1054.13(rounded to the nearest whole number).

Learn more about normal distribution here:
https://brainly.com/question/32778519

#SPJ12

For the multisets {3 · a, 2 · b, 1 · c} and {2 · a, 3 · b, 4 · d} the solutions are  A ∪ B is {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d},A ∩ B is {2 · a, 2 · b},A − B is {1 · a, 0 · b, 1 · c} ,B − A is {0 · a, 1 · b, 4 · d} and A + B is {5 · a, 5 · b, 1 · c, 4 · d}.

We will use the given multisets A and B:

A = {3 · a, 2 · b, 1 · c}
B = {2 · a, 3 · b, 4 · d}

a) A ∪ B (union): This operation combines all elements of both multisets.
A ∪ B = {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d}

b) A ∩ B (intersection): This operation finds the common elements between both multisets.
A ∩ B = {2 · a, 2 · b} (as a and b are the common elements)

c) A − B (difference): This operation removes elements in B from A.
A − B = {1 · a, 0 · b, 1 · c}

d) B − A (difference): This operation removes elements in A from B.
B − A = {0 · a, 1 · b, 4 · d}

e) A + B (sum): This operation adds the counts of the elements in both multisets.
A + B = {5 · a, 5 · b, 1 · c, 4 · d}

Learn more about multisets : https://brainly.com/question/31422427

#SPJ11

You can use the points to determine if the slope is constant or if there is a change.

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

To learn more about premises, refer here:

https://brainly.com/question/29699382#

#SPJ11

The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

To know more about denominator refer here:

https://brainly.com/question/931030#

#SPJ11

Answer:

y = 2x - 10

Step-by-step explanation:

\(y=mx+b\)

\(y=2x+b\)

\(-2=2(4)+b\)

\(-2=8+b\)

\(b=-2-8\)

\(b=10\)

\(y=2x-10\)

Equation:

\(\sf{y = 2x - 10}\)

Explanation:

First, I will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

Where:

Plug in the data:

\(\sf{y-(-2)=2(x-4)}\)

\(\sf{y+2=2(x-4)}\\\sf{y+2=2x-8}\\\sf{y=2x-8-2}\\\sf{y=2x-10}\)

Hence, the answer is y = 2x - 10.

According to data from the Census Bureau, the percentage of married women who hold jobs rose from 23.8 percent in 1950 to 56.4 percent in 2014(statistics). Women who had children under the age of six saw the biggest increases.

The collection, organization, organization, analysis, interpretation, and presentation of data are the main topics of study in statistics. When applying statistics to a scientific, industrial, or social problem, it is typical to start with a statistical population or a statistical model that will be investigated.Populations can refer to a variety of groupings of individuals or things, such as "every individual living in a nation" or "each atom making up a crystal." Every facet of data, including the planning of data collecting in terms of the layout of surveys and experiments, is covered by statistics.

Learn more about the statistics here:

https://brainly.com/question/29342780

#SPJ4

Answer:

1 Solar day = 86,400 seconds (SI Base Unit)

1 day = 1,440 minutes

Step-by-step explanation:

If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️

A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

Learn more about rate here:

https://brainly.com/question/19493296

#SPJ12

Answer:

1) B) 10

2) B) 9

Step-by-step explanation:

1) 10x+15=115

10x=100

x=10

2) 12x+17=125

12x=108

x=9

Answer:

B

Step-by-step explanation:

The guy above me is correct

There exists a graph with degree sequence (2, 3, 4, 4, 4, 5). An example of such a graph is a cyclic graph with 6 vertices, where each vertex is connected to its two adjacent vertices, and one additional vertex is connected to all other vertices. However, there does not exist a graph with degree sequence (2, 3, 3, 4, 4, 5).

1. For the degree sequence (2, 3, 4, 4, 4, 5):

  - We can start by constructing a cyclic graph with 6 vertices. Each vertex is connected to its two adjacent vertices, resulting in a degree sequence of (2, 2, 2, 2, 2, 2).

  - To increase the degree of the last vertex to 5, we add an additional vertex and connect it to all other vertices. This new vertex has a degree of 5.

  - Therefore, a graph with the degree sequence (2, 3, 4, 4, 4, 5) can be constructed.

2. For the degree sequence (2, 3, 3, 4, 4, 5):

  - To determine if a graph exists with this degree sequence, we can use the Havel-Hakimi algorithm.

  - Rearranging the degree sequence in non-increasing order, we get (5, 4, 4, 3, 3, 2).

  - Using the Havel-Hakimi algorithm, we start by subtracting 1 from the first element (5) and decrementing the next 5 elements by 1 (resulting in (4, 3, 3, 2, 2, 1)).

  - Then, we arrange the sequence in non-increasing order again: (4, 3, 3, 2, 2, 1).

  - Next, we repeat the process by subtracting 1 from the first element (4) and decrementing the next 4 elements by 1 (resulting in (3, 2, 2, 1, 1, 0)).

  - Continuing this process, we end up with (0, 0, 1, 0, 1, -1).

  - Since we have a negative number in the sequence, it is not possible to construct a graph with the given degree sequence (2, 3, 3, 4, 4, 5). Therefore, no such graph exists.

Learn more about vertices: brainly.com/question/29154919

#SPJ11

The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

Learn more on box-and-whiskers plots here: https://brainly.com/question/973515

#SPJ1

The polynomial has no roots and the possible answer to the question are 1/5, 15 and 3 which are option b, c and d respectively

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero. If a is the root of the polynomial p(x), then p(a) = 0.

The given polynomial is 5x^4 + 3x^3 + 4x^2 + 15 and we can calculate the roots by finding values in which when we plug into the equation, it will give us zero (0).

The given polynomial has no roots and the answer to the question are option b, c and d

Learn more on roots of a polynomial here;

https://brainly.com/question/10702726

#SPJ1

Answer:

Area of the shaded portion = (120π + 36√3)sq. m

Step-by-step explanation:

Area of the shaded region = Area of circle - Area of triangle

Given

radius of the circle = 12m

Area of the circle = πr²

Area of the circle  = π(12)²

Area of the circle  = 144π m²

Area of the sector = theta/360 * πr²

Area of the sector =  60/360 * 12²π

Area of the sector = 60/360 * 144π  = 24π

Area of the triangle = 1/2 bh

Area of the triangle = 1/2 (12cos30)(12)

Area of the triangle = 36√3

Area of the shaded portion = (144π - 24π + 36√3)sq. m

Area of the shaded portion = (120π + 36√3)sq. m

Answer:

Step-by-step explanation:

+55+%2B+.5x+=+.7x+

+.2x+=+55+

+x+=+275+

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

For more question on profit visit:

https://brainly.com/question/30495119

#SPJ8

Answer:

x=7

Step-by-step explanation:

Since these angles are complementary, they will add up to 90 degrees, so you can set up the equation like so:

8x+5+3x+8=90

First, combine like terms:

(8x+3x)+(5+8)=90

11x+13=90

Then, subtract 13 from both sides:

11x+13(-13)=90(-13)

11x=77

Then divide both sides by 11:

11x(/11)=77(/11)

x=7

7 is your answer

hope this helps!

Answer:

x=7

Step-by-step explanation:

Said it in the last question you had.

The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

Learn more about area here

brainly.com/question/27683633

#SPJ4

Answer:

-9

Step-by-step explanation:

8x + 1 = -71

8x = -72

x = -9

Answer:

x = -9.

Step-by-step explanation:

8x + 1 = -71    Subtract 1 from both sides:

8x + 1 - 1 = -71 - 1

8x = -72

x = -72/8

x = -9.

Phineas and Baljeet are knights, while Ferb and Isabella are knaves.

In the given statements, Phineas claims that he and Ferb are either both knights or both knaves. If Phineas is a knight, he must be telling the truth, which means Ferb is also a knight. If Phineas is a knave, he must be lying, which means Ferb is a knight. In either case, Phineas and Ferb are both knights.

Baljeet states that either Phineas is a knave or Isabella is a knave. Since we know Phineas is a knight, Baljeet's statement is false. Therefore, Baljeet is a knave.

Isabella claims that Phineas is a knave and Baljeet is a knight. However, we already established that Phineas is a knight, so Isabella's statement is false. Therefore, is a knave.

Ferb states that Phineas is a knave. Since Ferb is a knave, he can only lie, so his statement is true. Therefore, Ferb is a knave.

In summary, Phineas and Baljeet are knights, while Ferb and Isabella are knaves.

to learn more about summary click here:

brainly.com/question/12849840

#SPJ11