0.05 Divided by 0.02

Answer:

66

Step-by-step explanation:

it is the total people surveyed

The answer to this question is 26/125

The Probability that a randomly selected passenger was flying to Cleveland is 26/125.

The probability that a randomly selected passenger was flying to Cleveland,  the number of passengers going to Cleveland by the total number of people at the airport. There were 375 people at the airport and 78 of them were going to Cleveland, the probability can be calculated as follows:

Probability = Number of passengers going to Cleveland / Total number of people at the airport

Probability = 78 / 375

The fraction, we can find the greatest common divisor (GCD) of 78 and 375, which is 3:

78 ÷ 3 = 26

375 ÷ 3 = 125

So, the simplified fraction is:

Probability = 26 / 125

Therefore, the probability that a randomly selected passenger was flying to Cleveland is 26/125.

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Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is

The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.

However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.

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Answer:

[(5z+3 -3z)5z+3 - 3z

combine 5z and _3z to get 2z

(2z+3)x5z +3 - 3z

use the distributive property to multiply 2z + 3 by 5

(10z + 15)z + 3 - 3z

use the distributive property to multiply 10z+15 by z

10z2+15z+3-3z

combine 15z and -3z to get 12z

10z2+12z+3

Step-by-step explanation:

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer:

\(y=2x-2\)

Step-by-step explanation:

The equation of the tangent line can be found by using the formula \(y-y_1=m(x-x_1)\) where \(m\) is the slope and \((x_1,y_1)\) are the coordinate points of the line.

Therefore, we'll need to find the slope of \(y=x^4-x^2\) at the point where \(x=1\) by taking its derivative and plugging \(x=1\) into the derivative:

\(f(x)=x^4-x^2\)

\(f'(x)=4x^3-2x\) (Remember to use the Power Rule here!)

\(f'(1)=4(1)^3-2(1)\)

\(f'(1)=4-2\)

\(f'(1)=2\) <-- Our slope here is 2

Now, evaluate \(f(1)\) to get \(y_1\):

\(f(1)=1^4-1^2\)

\(f(1)=0\)

Therefore, the equation of the tangent line is:

\(y-0=2(x-1)\)

\(y=2x-2\)

See attached graph for a visual reference

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

Step-by-step explanation:

First you need to find the area then divide that by 14

Answer:

The slope of the given line on the graph is 1/3.

Answer:

1/3

Step-by-step explanation:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let's start at 0 with x = 0 and y = 0 or (0,0)

You see the graph crosses coordinate (3,1)

so y goes from 0 to 1 => rise = 1

x goes from 0 to 3 => run = 3

then rise/run = 1/3

Answer:

Option (2) is correct.

Step-by-step explanation:

The given equation is x-2y<4.

We need to select the correct graph for this inequality.

When x = 0, y = <-2

When y=0, x<4

The attached figure shows the graph for this inequality. It means the correct option is (b).

The given problem is a 0-1 integer programming problem, which involves finding the maximum value of a linear objective function subject to a set of linear constraints, with the additional requirement that the decision variables must take binary values (0 or 1).

To solve this problem by implicit enumeration, we systematically evaluate all possible combinations of values for the decision variables and check if they satisfy the constraints. The objective function is then evaluated for each feasible solution, and the maximum value is determined.

In this case, there are three decision variables: x1, x2, and x3. Each variable can take a value of either 0 or 1. We need to evaluate the objective function 2x1 - x2 - x3 for each feasible solution that satisfies the given constraints.

By systematically evaluating all possible combinations, checking the feasibility of each solution, and calculating the objective function, we can determine the solution that maximizes the objective function value.

The explanation of the solution process, including the enumeration of feasible solutions and the calculation of the objective function, can be done using a table or a step-by-step analysis of each combination.

This process would involve substituting the values of the decision variables into the constraints and evaluating the objective function. The maximum value obtained from the feasible solutions will be the optimal solution to the problem.

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Answer:

Step-by-step explanation:

The triangle should equal 180 degrees. You already have 84+60= 144

Take that 144 with the equation of the other angle. 144-180 is 36

5x+1=36 subtract 1 from both  sides

5x=35 divide by 5

x=7

check:

36 + 84+60= 180

Answer:

Down Below

Step-by-step explanation:

b=0.5

g=0.8

1.      3b + 5g = ?

       3×0.5+5×0.8=?

        1.5+4= 5.5 cm

2.      6(3b+5g) = ?

        18b + 30g
        18×0.5+30×0.8

        9+24= 33 cm

3.          2b + 3g

           2×0.5+3×0.8
           1+2.4=3.4 cm

4.   7(2b+3g)
     14b + 21g
     14×0.5+21×0.8
     7+16.8= 23.8 cm

5.     Add number 2 and 4 together
       14b+21g+18b+30g= 32b+ 51g

Take numbers and add them from problems 2 and 4
     23.8+33=56.8 cm

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

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The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

Answer:

$44.00 + $85.00 = $129.00

Step-by-step explanation:

The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.

Movies and Shopping are less important.

The expression 17n+11 represents the perimeter of a triangle, which is the sum of the lengths of the three sides of the triangle. Therefore, we can use this expression to determine the length of the third side of the triangle.

Since the perimeter of the triangle is equal to 17n+11, we know that the sum of the lengths of the three sides is equal to 17n+11. We can write this as:

a + b + c = 17n+11

where a, b, and c are the lengths of the three sides of the triangle.

To determine the length of the third side, we need to know the lengths of the other two sides. However, since the question does not provide this information, we cannot determine the length of the third side with certainty. In general, there are many different triangles that could have a perimeter of 17n+11, and the length of the third side could vary depending on the specific lengths of the other two sides.

Without additional information about the lengths of the other two sides, it is not possible to determine the length of the third side of the triangle.

Answer:

B.  f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those.  The two cases we need to consider is + infinite for x and - infinite for x.  Let's check each of these equations.

Note, any value raised to an even power will be positive.  Any negative value raised to an odd power will be negative.

[A] - x^4

When x is +∞ --> - (∞)^4 -->  f(x) is -∞

When x is -∞ --> - (-∞)^4 --> f(x) is -∞

[B] - x^3

When x is +∞ --> - (∞)^3 --> f(x) is -∞

When x is -∞ --> - (-∞)^3 --> f(x) is ∞

[C] 2x^5

When x is +∞ --> 2(∞)^5 --> f(x) is ∞

When x is -∞ --> 2(-∞)^5 --> f(x) is -∞

[D] x^4

When x is +∞ --> (∞)^4 --> f(x) is ∞

When x is -∞ --> (-∞)^4 --> f(x) is ∞

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

In order to decide the best study locations, the researchers must determine which study location is the most suitable for each student. This ensures that students are able to learn effectively and have the best chance of succeeding.

A randomized study location experiment will help researchers find out which study locations are best suited to each type of learner.

To decide study locations, the researcher should use an objective chance procedure, such as flipping a fair coin. The objective chance procedure will guarantee that each student has an equal chance of being assigned to a specific study location.

The researcher should ensure that both groups are matched as closely as possible in terms of characteristics that may be relevant to study success, such as ACT scores, GPAs, and socioeconomic backgrounds.

This guarantees that any variations in academic performance between the two groups are most likely due to differences in the study location and not to other external factors.

Therefore in order to decide the best study locations, the researchers must determine which study location is the most suitable for each student. This ensures that students are able to learn effectively and have the best chance of succeeding.

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To find out how many applications can be made with the 26-gram container, we need to divide the total amount of cream in the container by the average amount of cream used per application.

Total amount of cream (container) = 26 grams
Average amount of cream per application = 1 6/7 grams

First, let's convert the mixed fraction 1 6/7 to an improper fraction:
(1 * 7) + 6 = 13/7 grams

Now, divide the total amount of cream by the average amount of cream per application:

26 grams ÷ 13/7 grams

To divide by a fraction, you multiply by its reciprocal (the fraction flipped):

26 * 7/13

Now, cancel out the common factor (13):

(26/13) * (7/1)

2 * 7 = 14

So, you can make 14 applications with the 26-gram container.

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There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer:

For this question, we need to use a little bit of trigonometry.

We have: sine 17 = x/47

Simplifying: 0.29 = x/47

Multiply both sides by 47 to get: x is about  13.7

Let me know if this helps!

Answer:

13.7

Step-by-step explanation:

Answer:

18 and 21

Step-by-step explanation:

Let the smaller number = 3x

Let the larger number =  3x + 3

The three and the plus 3 insure that the numbers are multiples of 3 and are consecutive.

3* (3x + 3) = 7/10 * 5 (3x)       Multiply both sides by 10

30*(3x + 3) = 7 * 5 * 3x          Remove the brackets

90x + 90 = 7 * 5 * 3x             Combine the right

90x + 90 = 105x                    Subtract 90x from both sides.

-90x             -90x

           90 = 15x                     Divide by 15

x = 90/15

x = 6

Let's see if it works.

3*(3x + 3) = 3*(18 + 3) = 3 * 21 = 63

7/10 * 5 *3x = 7/10 * 5 * 3*6 = 630 / 10 = 63

To find the volume of the solid enclosed by the paraboloid z = 2 x^2 (y − 2)^2 and the planes z = 1, x = −3, x = 3, y = 0, and y = 4, we need to set up a triple integral over the given region and evaluate it.

The region is bounded by the planes z = 1, x = −3, x = 3, y = 0, and y = 4. Therefore, we need to integrate the given function over the region R = [−3, 3] × [0, 4] × [0, 1].

The volume of the solid is given by the triple integral V = ∫∫∫_R 2x^2(y-2)^2 dz dxdy.

Using the limits of integration, we have:

V = ∫_0^1 ∫_0^4 ∫_{-3}^3 2x^2(y-2)^2 dz dxdy

Evaluating the integral with respect to z, we obtain

V = ∫_0^1 ∫_0^4 2x^2(y-2)^2 (3-(-3)) dxdy

Simplifying and evaluating the integral with respect to x, we obtain:

V = ∫_0^1 ∫_0^4 12x^2(y-2)^ dy

Next, we need to evaluate the integral with respect to y:

V = 16/5 [(4/3)^3 - (2/3)^3]

Thus, the volume of the solid enclosed by the paraboloid z = 2 x^2 (y − 2)^2 and the planes z = 1, x = −3, x = 3, y = 0, and y = 4 is 16/5 [(4/3)^3 - (2/3)^3].

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Answer:

Height: 5meters

Step-by-step explanation:

Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.

Answer:

-2.23007452E187.

Step-by-step explanation:

Podemos empezar con (2x^ 3y^ 2z) / 3.

x = -2; y = 3; z = 4

2x^3y^2z = (2 * (-2))^ (3 * 3)^ (2 * 4) = (-4)^ 9^ 8 = (-262,144)^ 8 = 22,300,745,200,000,000,000,000,000,000,000,000,000,000,000, que es 2.23007452E43.

2.23007452E43 / 3 = 7.433581733E42.

Segundo, podemos hacer 10x^ 2y^ 3z^ 2.

10x^ 2y^ 3z^ 2 = (10 * (-2))^ (2 * 3)^ (3 * 4)^ 2 = (-20)^ (6)^ (12)^ 2 = 64,000,000^ 12 ^ 2 = 4.722366483E93^ 2 = 2.23007452E187.

Para terminar el problema, lo pondremos todo junto.

7.433581733E42 - 2.23007452E187 + 12 = -2.23007452E187.

Espero que esto ayude!

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

\(\mathbf{(x,y) \to (k_x, k_y)}\)

where;

From the given information:

Now, using the coordinate vertices:

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

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Answer:

y-intercept: (0, 1)

x-intercept: (1, 0)

an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Using a system of equations, the expression or the number of touchdowns he scored in his second year is: 2(t - 1)

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In his first year, he scored t touchdowns. In the second, the amount was two less than twice the number of touchdowns he scored in his rookie year, hence the expression is:

2t - 2 = 2(t - 1)

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Answer:

67

Step-by-step explanation: