I need these highschool statistics questions to be solved. It
would be great if you write the steps on paper, too.
7. A consumer group hoping to assess customer experiences with auto dealers surveys 167 people who recently bought new cars; 3% of them expressed dissatisfaction with the salesperson. Which condition

Answer:

whats that.............

22, 24, 26

Step-by-step explanation:

2n - 2 + 2n + 2n + 2 = 72

6n = 72

n = 72/6

n = 12

∴ so three consecutive even integers whose sum is 72 :

2n - 2

= 2(12) - 2

= 24 - 2

= 22

2n

= 2(12)

= 24

2n + 2

= 2(12) + 2

= 24 + 2

= 26

verification

22 + 24 + 26

= 46 + 26

= 72 ✓✓

Answer:

Maximum height: 19.5 yards

Football kicked: 51 yards

Researchers must be cautious when designing web-based surveys because they are particularly sensitive to undercoverage, nonresponse and voluntary response bias. So, option B is correct.

Web-based surveys have become increasingly popular in recent years due to their convenience and cost-effectiveness. However, researchers must be cautious when designing web-based surveys because they are particularly sensitive to various types of biases that can affect the validity and reliability of the survey results.

One of the biases that can affect web-based surveys is undercoverage, which occurs when some members of the target population are not able to access or complete the survey due to lack of internet access, technical difficulties, or other reasons. This can lead to a biased sample that does not accurately represent the entire population of interest.

Another bias that can affect web-based surveys is nonresponse, which occurs when some individuals who are invited to participate in the survey choose not to do so. This can lead to a biased sample if those who choose not to participate have different characteristics or opinions from those who do participate.

Finally, web-based surveys are also susceptible to voluntary response bias, which occurs when individuals choose to participate in the survey because they have strong feelings or opinions on the topic, while others choose not to participate. This can lead to a biased sample that overrepresents certain groups or opinions.

Therefore, Option B is the correct answer.

To learn more about surveys click on,

https://brainly.com/question/26488041

#SPJ4

Complete question is:

Researchers must be cautious when designing web-based surveys because they are particularly sensitive to:

a. undercoverage.

b. All of the answer choices are correct.

c. nonresponse.

d. voluntary response bias.

The calculated value of the probability P(A U B) is 0.5

From the question, we have the following parameters that can be used in our computation:

P(A) = 0.2

P(B) = 0.3

Given that the events A and B are independent events, we have

P(A U B) = P(A) + P(B)

substitute the known values in the above equation, so, we have the following representation

P(A U B) = 0.2 + 0.3

Evaluate

P(A U B) = 0.5

Hence, the value of the probability P(A U B) is 0.5

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:

D

Step-by-step explanation:

im taking the test for math on apex

Answer:

Step-by-step explanation:

The nice correct answer is D your welcome

The slope is 0.6

The answer is taken by solving from the graph

The median of the random variable x-bar is 300.The distribution of the sample mean (x-bar) from a normally distributed population follows a normal distribution as well.

For large sample sizes (n ≥ 30), the sample mean will be approximately normally distributed, regardless of the shape of the original population.

Given that x follows a normal distribution with a mean of 300 and a standard deviation of 15, the sample mean x-bar (when sampling 20 observations at a time) will also follow a normal distribution with a mean equal to the population mean (300) and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The standard deviation of x-bar is given by σ_x-bar = σ_x / √n, where σ_x is the population standard deviation and n is the sample size.

In this case, the standard deviation of x-bar is σ_x-bar = 15 / √20 ≈ 3.3541.

Since the sample mean x-bar follows a normal distribution, its median will be equal to its mean, which is the same as the population mean of 300.

Therefore, the median of the random variable x-bar is 300.

learn more about mean here: brainly.com/question/31101410

#SPJ11

Answer:

A and D

Step-by-step explanation:

hope this helps

Answer:

  A.  7

Step-by-step explanation:

The problem is poorly specified, so technically cannot be answered with a specific number.

If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:

  (17 +11)/2 = 21 -x

  14 = 21 -x

  x = 21 -14 = 7

The value of x is 7.

_____

The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}\)

⸻⸻⸻⸻\(\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}\)

⸻⸻⸻⸻

\(\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}\)

⸻⸻⸻⸻

\(\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}\)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

The number of minutes Deon will run is equal to or more than 40 minutes if he will run at least 8 laps today.

The possible number of minutes he will run can be determined using inequality.

Inequality is a relation used in mathematics that represents a non-equal comparison between two numbers or any other mathematical expression.

As he runs each lap in 5 minutes and will run at least 8 laps, therefore,

n/5 ≥ 8

Here n represents the number of minutes he will run.

Solving for n;

n ≥ 8 × 5

n ≥ 40

Therefore, the number of minutes he will run is equal to or more than 40 minutes if he will run at least 8 laps today.

To learn more about inequality; click here:

https://brainly.com/question/25275758

#SPJ4

Answer:

I say option D. -3x-11

Step-by-step explanation:

Answer:

x < 2

Step-by-step explanation:

add 2 to both sides, and now you have 4x < 8. Now divide both sides by 4, and now you have x < 2

The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)

Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0

Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8

Set up the initial simplex tableau:

┌───┬───┬───┬───┬───┐
│   │ x₁ │ x₂ │ s₁ │  1│
├───┼───┼───┼───┼───┤
│  1│ 0.3│ 0.1│  1  │1.8│
└───┴───┴───┴───┴───┘
```

Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).

Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.


The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.

To know more about solution visit:

https://brainly.com/question/30109489

#SPJ11

The correct answer is

0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal

By applying logarithmic differentiation to the equation

\(x^2 + (y - ∛(x^2))^2 = 1\), we can find the derivative of y with respect to x. The derivative is given by \(dy/dx = -4x(y - ∛(x^2)) / (2x^2 + 3(y - ∛(x^2))^2)\).

To use logarithmic differentiation, we start by taking the natural logarithm of both sides of the equation: \(ln(x^2 + (y - ∛(x^2))^2) = ln(1).\) Applying the logarithmic property, we can rewrite the equation as

\(ln(x^2) + ln((y - ∛(x^2))^2) = 0.\)

Next, we differentiate both sides of the equation with respect to x. Using the chain rule and the fact that the derivative of ln(u) is du/u, we obtain:

\((2x/x^2) + (2(y - ∛(x^2))/ (y - ∛(x^2))) * (1/2(y - ∛(x^2))) * (d(y - ∛(x^2))/dx) = 0\).

Simplifying the equation, we have

\(2/x + (2(y - ∛(x^2))) / (2(y - ∛(x^2))) * (d(y - ∛(x^2))/dx) = 0\).

Canceling out common factors, we get:

\(2/x + d(y - ∛(x^2))/dx = 0\).

Rearranging the equation to solve for

\(d(y - ∛(x^2))/dx\), we have\(d(y - ∛(x^2))/dx = -2/x.\)

Finally, using the power rule for differentiation, we can express the derivative of y with respect to x as

\(dy/dx = -4x(y - ∛(x^2)) / (2x^2 + 3(y - ∛(x^2))^2).\)

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

\(\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=\)

\(\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}\)

Answer:

Step-by-step explanation:

50+30=80 products which add up to £200

200/80=which is 2.5 or £2.50

The triangles to use in finding the distance x are KLM and MNP. The distance x between the shoreline and buoy is 80 m.

Triangles are said to be similar when on comparing their corresponding properties, some common properties exist. The common properties are the sides and measure of angles.

Thus on comparing triangles KLM and MNP, we have;

MP/ KL = PN/ KM

20/ x = 25/ 100

make x the subject of formula

x = (20 *100)/ 25

  = 2000/ 25

  = 80

x = 80

The distance x between the shoreline and the buoy is 80 m.

Learn more about similar triangles at https://brainly.com/question/14285697

#SPJ1

The correct expression that will form with one multiplication operation is 8 × (5.95 + 84 + 3.60 + 2.25).

Firstly rewriting the correct expression according to the amount spent by each person on different entities. The expression will be -

Total amount spent by 8 people = number of people × (amount spent on dinner + laser tag + bowling shoes + video games)

Now keeping the values in formula to find the total amount spent by eight people in desired format.

Total amount spent by eight people = 8 × (5.95 + 84 + 3.60 + 2.25)

Performing addition to simplify the expression is -

Total amount spent by eight people = 8 × 95.8

Thus, the correct simplified expression will be 8×95.8.

Learn more about expression -

https://brainly.com/question/723406

#SPJ4

Answer:

  (c)  x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared

Step-by-step explanation:

The next step is to take the square root of both sides of the equation. It can help to show the intermediate steps.

The last step shown in the derivation so far is ...

  \(x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}\)

The left side of the above expression can be written as a square, and the right side can be written over one denominator. Then the square root is taken as the next step.

  \(\left(x+\dfrac{b}{2a}\right)^2=\dfrac{b^2-4ac}{4a^2}\\\\\sqrt{\left(x+\dfrac{b}{2a}\right)^2}=\sqrt{\dfrac{b^2-4ac}{4a^2}}\\\\\boxed{x+\dfrac{b}{2a}=\pm\dfrac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}}\qquad\text{"next step"}\)

Answer: \(x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}\)

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

\(\left(x+\frac{b}{2a} \right)^2\)

So, taking the square root of both sides,

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

It is true that the objective function and the restrictions in a linear programming problem must be linear functions of the choice variables.

The method of choosing the best result from a linear function is known as linear programming. Making a few straightforward assumptions is the easiest way to accomplish linear optimization. As the goal function, the linear function is referred to. Real-life relationships can be quite challenging. However, such interactions can be represented using linear programming, which facilitates analysis of such relationships.

When the need of a mathematical model are represented by linear relationships as, the optimal result can also be obtained using a technique known as the linear programming (LP), sometimes known as linear optimization. A particular type of mathematical programming is linear programming.

Formally speaking, linear programming is the method for optimizing a linear objective function under the restrictions of the linear equality and linear inequality. Convex polytopes, a set defined as the total intersection of a finite number of half spaces, each of which is determined by the linear inequality, make up viable region.

Learn more about linear programming, Visit:

https://brainly.com/question/29405477

#SPJ4

The range in a business math class consisting of five students aged 17, 17, 36, 38, and 44 is 27.

To find the range, you need to subtract the smallest value (age) from the largest value (age) in the dataset.

1. Identify the smallest value: 17
2. Identify the largest value: 44
3. Subtract the smallest value from the largest value: 44 - 17

The class range is 27.

To know more about range refer here :

https://brainly.com/question/20607770#

#SPJ11

The expected number of people who will drop out due to either relapse or moving away is 10 + 6 = 16. However, taking into account the standard deviations, it is 16 +/- 5.

To find the expected number of people who will drop out due to either relapse or moving away, we need to add the expected number of people who will drop out due to relapse (10) and the expected number of people who will drop out due to moving away (6).

Expected number of people who will drop out due to either relapse or moving away = 10 + 6 = 16.

However, we also need to take into account the standard deviations for each of these groups. To do this, we can use the square root of the sum of the variances (SD squared) for each group, squared.

Variances:
- Relapse: 4 squared = 16
- Moving away: 3 squared = 9

Square root of the sum of the variances:
- sqrt(16 + 9) = 5

Therefore, the expected number of people who will drop out due to either relapse or moving away, taking into account the standard deviations, is 16 +/- 5.

This means that we can expect anywhere between 11 and 21 people to drop out due to either relapse or moving away during the two-year cohort study.

More on standard deviation: https://brainly.com/question/8889532

#SPJ11

Algebra 1 covers a variety of topics in algebraic mathematics, including linear and quadratic equations, graphing, polynomials, exponents, factoring, rational expressions, inequalities, functions, and data analysis.

Algebra 1 is typically a high school level course that covers a variety of topics in algebraic mathematics. The specific topics covered can vary somewhat depending on the school or district, but some common topics in Algebra 1 include:

1. Linear equations: Solving for unknowns in linear equations and systems of linear equations.

2. Quadratic equations: Solving for unknowns in quadratic equations and understanding their properties.

3. Graphing: Graphing linear and quadratic functions, and understanding their properties such as slope and intercepts.

4. Polynomials: Understanding and manipulating polynomials of different degrees.

5. Exponents: Understanding and working with exponential functions and expressions.

6. Factoring: Factoring polynomials and other algebraic expressions.

7. Rational expressions: Simplifying and manipulating rational expressions, and solving equations involving them.

8. Inequalities: Solving and graphing inequalities, including absolute value inequalities.

9. Functions: Understanding the concept of a function, and working with linear and quadratic functions.

10. Data analysis: Using algebraic methods to analyze and interpret data, including creating and interpreting graphs and tables.

These are some of the main topics that are typically covered in Algebra 1, though the exact curriculum can vary depending on the specific school or district.

Learn more about algebra here: brainly.com/question/24875240

#SPJ4

The estimated probability of seeing at most two four of a kinds in 10,000 poker hands is approximately 0.987, using the Poisson approximation.

Let p be the probability of getting a four of a kind in a single hand. To find p, we need to count the number of ways to choose the four of a kind and the fifth card from a deck of 52 cards, and divide by the total number of ways to choose 5 cards from the deck:

p = (13 * C(4,1) * C(48,1)) / C(52,5) ≈ 0.000240096

where C(n,k) is the number of combinations of k items from a set of n items.

Now, let X be the number of four of a kinds in 10,000 hands. X follows a binomial distribution with parameters n = 10,000 and p = 0.000240096. We want to find P(X ≤ 2).

Using the Poisson approximation, we can approximate X with a Poisson distribution with parameter λ = np = 2.40096. Then,

P(X ≤ 2) ≈ P(Y ≤ 2)

where Y is a Poisson random variable with parameter λ = 2.40096. Using the Poisson distribution formula, we get:

P(Y ≤ 2) = e^(-λ) * (λ^0/0! + λ^1/1! + λ^2/2!) ≈ 0.987

To know more about probability, here

brainly.com/question/31488405

#SPJ4

The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.

Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.

To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.

Your answer: a. 1%

Learn more about Quarter:

brainly.com/question/391885

#SPJ11