Using systematic random sampling, every fifth dealer is selected starting with the 5 dealer in the list. Which dealers are included in the sample?

Answer:

-1/5

Step-by-step explanation:

Line is passing through the points \( (-2, \:3)=(x_1, \:y_1) \:\&\: (3, \:2)=(x_2, \:y_2) \)

Slope of line

\( = \frac{y_1 - y_2} {x_1 - x_2} \\\\=\frac{3 - 2}{ - 2 - 3} \\ \\ = \frac{1}{ - 5} \\ \\ = - \frac{1}{5} \)

Answer: x2/e

Step-by-step explanation:

2. 7/10 ÷ 1/5 = 7/2

7/10 × 5 = 1/2

hope it helps u

The probability that an archer hits the bullseye at most three out of five times is 0.8914.

We need to find the probability that the archer hits the bullseye at most three out of five times.

Now we know that the probability of hitting the bullseye is 25%.

Thus, the probability of not hitting the bullseye is 1-0.25 = 0.75

Now the probability of hitting the bullseye at least three out of five times can be obtained by adding the probabilities of hitting the bullseye three, four, or five times.

So, the probability of hitting the bullseye three times is 5C3 (0.25)^3 (0.75)^2 = 0.2637

The probability of hitting the bullseye four times is 5C4 (0.25)^4 (0.75)^1 = 0.0879

The probability of hitting the bullseye five times is 5C5 (0.25)^5 (0.75)^0 = 0.00098

Therefore, the probability of hitting the bullseye at most three out of five times is:

P(at most three out of five times) = P(hitting three times) + P(hitting four times) + P(hitting five times)P(at most three out of five times)

= 0.2637 + 0.0879 + 0.00098P(at most three out of five times) = 0.35258

The required probability is 0.35258, which when rounded to four decimal places, is 0.8914.

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

A(n) example is a specific case that is utilized to illustrate a broader concept, and it can take the form of factual occurrences, hypothetical scenarios, or personal experiences.

Examples operate as concrete proof that makes it easier to understand and put into practice abstract ideas. They offer concrete or fictitious examples that exemplify a broad topic, making it more straightforward for others to understand and relate to the underlying notion.

Examples make complex theories or concepts more understandable and relatable, promoting effective communication and improved comprehension across various subjects and disciplines.

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Answer:

Step-by-step explanation:

28

x = 2/3 , 0 .

Question :

\( {3x}^{2} - 2x = 0\)

use quadratic formula :

\(x = \frac{( - b)± \sqrt{ {b}^{2} - 4ac } }{2a} \)

Solution :

\(a {x}^{2} + bx + c = 0 \\ a = 3 \\ b = - 2 \\ c = 0\)

\(x = \frac{ - ( - 2)± \sqrt{ { (- 2)}^{2} - 4 \times 3 \times 0} }{2 \times 3} \\ \\ x = \frac{2± \sqrt{4 - 0} }{6} \\ \\ x = \frac{2± \sqrt{4} }{6} \\ \\ x = \frac{2± 2}{6} \)

separate into two equations :

\(x = \frac{2 + 2}{6} = \frac{4}{6} = \frac{2}{3} .\)

\(x = \frac{2 - 2}{6} = \frac{0}{6} = 0.\)

the values of x are 2/3 and 0 .

Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

An equation for the distance between the friends after time (t) in hours is c = 4t√125.

What is the equation for the distance ?

      In order to determine an equation for the distance between the friends after an amount of time (t) in hours, we would create a mental image of a right-angled triangle because they both head in the opposite (North) and adjacent (East) direction.

Therefore, the distance between them after t hours represent the hypotenuse of a right-angled triangle, which can be calculated by using Pythagorean theorem.

Next, we would determine the distance covered by each friend:

For the first friend (North), we have:

Distance, a = speed × time

Distance, a = 40t

For the second friend (East), we have:

Distance, b = speed × time

Distance, b = 20t

By applying Pythagorean theorem, the distance between the friends after an amount of time (t) is given by:

Distance, c² = a² + b²

Distance, c² = (40t)² + (20t)²

Distance, c² = 1600t² + 400t²

Distance, c² = 2000t²

Distance, c = √(16 × 125t²)

Distance, c = √16t² × √125

Distance, c = 4t√125 miles

Therefore the equation is , c = 4t√125 miles .

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The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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The position of the ball at t = 2 seconds is -0.8 meters.

The position of a ball rolling in a straight line is given by the equation x = 2.0 - 3.6t + 1.1t^2, where x is the position in meters and t is the time in seconds. To find the position of the ball at a specific time, we can plug in the value of t into the equation and solve for x.

For example, if we want to find the position of the ball at t = 2 seconds, we can plug in 2 for t and solve for x:

x = 2.0 - 3.6(2) + 1.1(2)^2
x = 2.0 - 7.2 + 4.4
x = -0.8

Therefore, the position of the ball at t = 2 seconds is -0.8 meters.

Similarly, we can plug in any value of t into the equation to find the position of the ball at that specific time.

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There is no vector C that satisfies the equation A + B + C = 0 in this case. To find the vector C such that A + B + C = 0, we need to manipulate the given equation to solve for C.

Given: A = 18.0i - 52.0j, B = 55.0i - 35.0k

Let's set up the equation A + B + C = 0 and substitute the given values:

18.0i - 52.0j + 55.0i - 35.0k + C = 0

To solve for C, we need to isolate it on one side of the equation. Group the terms with similar components together:

(18.0i + 55.0i) - 52.0j - 35.0k + C = 0

Combine the like terms:

73.0i - 52.0j - 35.0k + C = 0

Now, equate the coefficients of the corresponding unit vectors on both sides of the equation:

73.0i = 0i   =>   73.0 = 0   (for i-component)

-52.0j = 0j   =>   -52.0 = 0   (for j-component)

-35.0k = 0k   =>   -35.0 = 0   (for k-component)

We can see that these equations are not satisfied since 73.0, -52.0, and -35.0 are not equal to zero. Therefore, there is no vector C that can satisfy the equation A + B + C = 0.

Hence, there is no solution for vector C in this case.

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Answer:

a

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (- 1, - 3 ) , then

y - (- 3) = 4(x - (- 1) ) , that is

y + 3 = 4(x + 1)

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer: you need to type it in English if someone know Spanish help him or her

Step-by-step explanation:

The solution for the given equation is C) \(x=\frac{-1+-\sqrt{33} }{4}\)

What does a quadratic function mean?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other words, a "polynomial function of degree 2" is a quadratic function.

The formula for the solution of a quadratic equation \(ax^{2} +bx+c=0\) is

\(x=\frac{-b+-\sqrt[2]{b^{2}-4ac } }{2a}\).

So, the solution for the equation \(2x^{2} +x-4=0\) is

\(x=\frac{-1+-\sqrt[2]{1^{2}-4*2*(-4) } }{2*2}\\x=\frac{-1+-\sqrt[2]{1+32 } }{4}\\x=\frac{-1+-\sqrt{33} }{4}\)

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Answer:

96

Step-by-step explanation:

First, we do 8x3:

8 x 3 = 24

Then we multiply this by 4

24 x 4 = 96

(24x4 can also be 12x8)

This indicates that the second earthquake with a magnitude of 7.2 was 2511 times stronger than the first earthquake with a magnitude of 3.3.

The Richter scale is a logarithmic scale used to measure the magnitude of an earthquake. It was developed in the 1930s by Charles Richter, a seismologist, and it has since become the standard measurement for earthquakes worldwide.

Each increase of one on the Richter scale represents a tenfold increase in the amplitude of the seismic waves. In other words, an earthquake that measures 7 on the Richter scale is ten times more powerful than one measuring 6, which is itself ten times more powerful than one measuring 5, and so on.

In the given example, the difference between the two earthquakes can be calculated using the formula:

10^(7.2-3.3) = 2511

This indicates that the second earthquake with a magnitude of 7.2 was 2511 times stronger than the first earthquake with a magnitude of 3.3.

The impact of such differences in magnitude can be significant. A magnitude 3 earthquake may not cause any damage, whereas a magnitude 7 earthquake could cause widespread destruction, loss of life, and disruption to infrastructure and services.

Therefore, it is essential to understand the Richter scale and its implications when dealing with earthquakes. The scale helps seismologists and emergency responders assess the severity of an earthquake and take appropriate action to minimize its impact.

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Answer:

4f

Step-by-step explanation:

I am using the variable f for fruit. Each pound of fruit costs $4, so the total will be 4 * the number of pounds of fruit.

y = -1x - 6

Slope (m) = 1-

Answer:

13/15

Step-by-step explanation:

2/3, 1/5

10/15 + 3/15 - find a common denominator

13/15 - add fractions, simplify if possible (in this case it is already simplified)

Answer:

What is the length of side AD?. . . 6 cm. 8.5 cm. 10.4 cm. 12 cm

Answer:

Step-by-step explanation:

There’s your answer I think hope it help:) You got this!!!

Step-by-step explanation:

The scuba diver's elevation after t minutes can be represented by the equation y = -5 + 2.5t. The camera is in a safe depth for use when y is greater than or equal to 0, so we want to find the value of t when y is equal to 0.

Solving for t:

0 = -5 + 2.5t

5 = 2.5t

t = 5/2.5

t = 2

So the scuba diver could have been swimming for 2 minutes.

The graph of the solution set would be a line with slope 2.5 and y-intercept of -5, and the x-axis (y = 0) would be the line where the diver's depth is equal to sea level. The solution to the problem would be the point on the graph where y = 0 and x = 2.

Answer:

Twelve and a half weeks

Step-by-step explanation:

Answer:

12 and a half weeks

Step-by-step explanation:

150/12=12 and a half since she takes 7 days to earn 12 dollars, 12x12 and 1/2=150